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Welcome, Florida educators!
Welcome to Amplify Desmos Math Florida! Below, you’ll find links to sample lessons and more information about our Amplify Desmos Math Florida program.

Preview Lessons.
Check out the links below to explore our interactive sample lessons.
Register to learn more about Amplify Desmos Math Florida.
Join us as we sit down with math experts and educators to explore how to support both students and teachers in math classrooms across Florida. This free professional learning series is designed to deliver collaborative, effective, and engaging math practices, as well as free activities to use right away.

A structured approach to problem-based learning
Amplify Desmos Math combines and connects conceptual understanding, procedural fluency, and application. Lessons are designed with the Proficiency Progression™, a model that provides teachers with clear instructional moves to build from students’ prior knowledge to grade-level learning.
Student thinking is valuable and can be made evident.
We believe that math class is a place where teachers can elicit, celebrate, and build on their students’ interesting ideas. Those ideas fuel meaningful classroom conversations and drive the learning process.


Robust assessments that drive learning and inform instruction
A variety of performance data in Amplify Desmos Math Florida provides evidence of student learning, while helping students bolster their skills. With explicit guidance on what to look for and how to respond, teachers can effectively support students as they develop their understanding.
Reporting and insights
Teachers and administrators have visibility into what students know about grade-level math with a variety of data reports. By evaluating not only what students know about grade-level math but also providing insight into how they think, teachers can confidently plan whole-class instruction and targeted intervention.


Access to grade-level math for every student, every day
Amplify Desmos Math Florida provides teachers with lessons, strategies, and resources to eliminate barriers and increase access to grade-level-content without reducing the mathematical demand of tasks—all while supporting students in building strong number sense, fluency, and conceptual understanding.
Differentiation when and where it matters most
Teachers are provided with clear student actions to look for, matched with immediately usable suggestions for how to respond to student thinking. Each lesson also includes recommendations for resources to use with students to support, strengthen, and stretch their understanding of the lesson goal.

Boost Personalized Learning
Boost Personalized Learning activities in Amplify Desmos Math Florida target a skill or concept aligned to the day’s core lesson, with each student receiving personalized scaffolds based on what they already know. Designed to build fluency in mathematics, these activities adapt to each student’s unique needs and support skill-based growth.
Intervention Mini-Lessons aligned to core instruction
Amplify Desmos Math Florida Mini-Lessons are aligned to the most critical topics throughout a unit and provide targeted intervention for small groups of students who need additional support or more time.


Boost Math
Boost Math is a K–8 personalized learning and intervention program that provides Learning Pathways to ensure that every student succeeds. Our system supports all aspects of a strong Multi-Tiered System of Supports (MTSS) through learning progressions that connect foundational skills directly to core instruction.
What’s included in our Grades 3–5 language arts curriculum
Grounded in the science of reading, Amplify CKLA for grades 3–5 integrates foundational skills students have learned in grades K–2 while continuing to build rich content knowledge. With Amplify CKLA, you’ll have the instruction and guidance of proven, evidence-based practices to help all of your students become strong readers, writers, and thinkers.
Year at a glance
The Amplify CKLA curriculum is modeled after proven research in early literacy that supports a two-strand approach to literacy instruction in the early years. With this approach, students in Grades K–2 complete one full lesson per day that builds foundational reading skills in the Skills Strand, as well as one full lesson that builds background knowledge in the Knowledge Strand. The deep content knowledge is sequenced together with research-based foundational skills in Grades K–2 so that students develop the early literacy skills necessary to help them become confident readers, as well as build the context to understand what they’re reading.
In Grades 3–5, lessons combine skills and knowledge with increasingly complex texts, close reading, and a greater emphasis on writing. Students start to use their skills to go on their own independent reading adventures, further opening up their worlds.

Units at a glance
Students move fluidly between reading, writing, speaking and listening, and language activities, with increasingly complex texts, close reading, and a greater writing emphasis.

Unit 1
Classic Tales: The Wind in the Willows
Students explore international classic tales, including The Wind in the Willows, Alice in Wonderland, and “Aladdin and the Wonderful Lamp.”
Number of Lessons: 15

Unit 2
Animal Classification
Students learn how scientists use animals’ characteristics to classify and study them; students apply knowledge through text-based discussions and writing exercises.
Number of Lessons: 15

Unit 3
The Human Body: Systems and Senses
This unit involves the study of the human body, building students’ understanding of its senses and skeletal, muscular, and nervous systems.
Number of Lessons: 14

Unit 4
The Ancient Roman Civilization
Students dive into ancient Rome, studying its history, culture, and myths about Roman gods and goddesses.
Number of Lessons: 15

Unit 5
Light and Sound
Students learn the science behind light and sound, read biographies of Alexander Graham Bell and Thomas Edison, and write newspaper articles.
Number of Lessons: 17

Unit 6
The Viking Age (with Core Quest)
This unit’s informational and literary texts convey information about the Vikings, their culture, and their exploration.
Number of Lessons: 11

Unit 7
Astronomy: Our Solar System and Beyond
Students learn about astronomy, the universe, and important figures in the history of space exploration, including Nicolaus Copernicus and Mae Jemison.
Number of Lessons: 20

Unit 8
Native Americans: Regions and Cultures
Students compare, contrast, assemble information, and reflect on what they have learned about Native Americans and their ways of life.
Number of Lessons: 13

Unit 9
Early Explorations of North America
Students explore reasons for European exploration, what exploration was like, and who went exploring; then students write opinion pieces using this information.
Number of Lessons: 14

Unit 10
Colonial America
Students learn about colonies in early America, including how colonies were started and the progress colonists made after settling.
Number of Lessons: 16

Unit 11
Ecology
Students learn about different aspects of ecology, including food chains, the balance of nature, changes to the environment, and protecting the environment.
Number of Lessons: 12

Unit 1
Personal Narratives
This unit examines the genre of personal narratives, including nonfiction works written by a first-person narrator involved in the events being described.
Number of Lessons: 15

Unit 2
Empires in the Middle Ages
This unit covers the history of various empires and geographical regions throughout the Middle Ages.
Number of Lessons: 25

Unit 3
Poetry
Students explore poetry, training in methods and devices poets use and learning to read, write, and interpret formal and free verse poems.
Number of Lessons: 15

Unit 4
Eureka! Student Inventor
This Core Quest, a narrative-driven unit, immerses students in close-reading adventures and scientific and historical content about inventions. Students write and read opinion, informational, and narrative texts.
Number of Lessons: 10

Unit 5
Geology
This unit focuses on the composition of Earth and the forces that change its surface.
Number of Lessons: 15

Unit 6
Contemporary Fiction with excerpts from The House on Mango Street
This unit explores narrative literature and writing, using excerpts from The House on Mango Street as its anchor text.
Number of Lessons: 13

Unit 7
American Revolution
Students learn that disagreements about principles of government led colonists in North America to seek independence from Great Britain.
Number of Lessons: 17

Unit 8
Treasure Island
Students focus on character development, setting, plot, and literary devices while reading an abridged version of a classic novel, Treasure Island.
Number of Lessons: 19

Unit 5
Writing Quest (supplemental): The Contraption
In this supplemental Quest, students interact with a mysterious machine fueled by their writing and solve the machine’s puzzles. This Quest features a digital environment controlled by the teacher.

Unit 1
Personal Narratives
This unit examines the genre of personal narratives, including nonfiction works written by a first-person narrator involved in the events being described.
Number of Lessons: 15

Unit 2
Early American Civilizations
Students study the geography, climate, flora, and fauna of the Americas and the rise and fall of the Maya, Aztec, and Inca civilizations.
Number of Lessons: 15

Unit 3
Poetry
Students explore poetry, training in methods and devices poets use and learning to read, write, and interpret formal and free verse poems.
Number of Lessons: 13

Unit 4
Adventures of Don Quixote
In this unit students trace the development of plot, characters, and literary elements while reading a full-length, adapted version of Don Quixote.
Number of Lessons: 15

Unit 5
The Renaissance
This unit provides students with a broad exposure to the art and literature of the Renaissance through the works of renowned masters.
Number of Lessons: 19

Unit 6
The Reformation
This unit teaches students about the Reformation, a movement involving religious and political upheaval that shifted the political power in Europe.
Number of Lessons: 10

Unit 7
A Midsummer Night’s Dream (Core Quest)
This unit is an immersive Quest that treats Shakespeare’s comedy as both literature and a living text for interpretation and performance.
Number of Lessons: 15

Unit 8
Native Americans
Students learn how settlers, explorers, and the American government in the 1800s affected Native American cultures and their relationship with the land.
Number of Lessons: 15

Unit 9
Chemical Matter
Students learn about chemistry and close-reading through a literary and informational work, The Badlands Sleuth, in which the protagonist uses chemistry to solve mysteries.
Number of Lessons: 15

Unit 10
Writing Quest (supplemental): The Robot
Students interact with a classroom pet that learns and grows with their writing. This Quest features a digital environment controlled by the teacher.
Program components
The program includes instructional guidance and student materials for a year of instruction, with lessons and activities that keep students engaged every day.
Component
FORMAT
Teacher Guides
Teacher Guides for each unit provide engaging lessons with standards-based objectives and formative assessments that empower teachers with proven strategies and research-based tools.
Print or digital

Differentiation resources
The online Assessment and Remediation Guide (Grade 3) and the Decoding and Encoding Supplement (Grades 4–5) provide thousands of pages of targeted activities in decoding, spelling, and other core literacy skills. Supplemental Guides provide opportunities for enrichment.
Digital

Writing Studio
A riveting connected writing program for more time, practice, and challenge in writing, with a focus on informative, narrative, and opinion modes of writing.
Print or digital

Digital experience
The Amplify CKLA digital experience delivers ready-made, customizable, slides-based lesson presentations to enhance instruction and save time. Everything needed to plan and present high-quality, engaging early literacy instruction is in one convenient place.
Digital

Component
FORMAT
Student Readers
Amplify CKLA’s Student Readers anchor each of the content-based units, providing a close-reading experience fueled by rich background knowledge that inspires students to dig deeper.

Activity Books
In addition to providing daily opportunities for students to respond to text and apply skills and knowledge, Activity Books feature formative assessments for each day’s objectives.

Digital experience
The Amplify CKLA digital experience delivers ready-made, customizable, slides-based lesson presentations to enhance instruction and save time. Everything needed to plan and present high-quality, engaging early literacy instruction is in one convenient place.
Digital

Explore more programs
Our programs are designed to support and complement one another. Learn more about our related programs.
CKLA – Knowledge Research Units for K–5
Introducing new units for Amplify CKLA and Amplify Caminos K–5
As part of our commitment to creating even richer and more wide-ranging curricula, we are excited to release six new units for both Amplify CKLA and Amplify Caminos!

About these units
Our brand-new Knowledge Research units carry forward the powerful and proven instructional approach of both Amplify CKLA and Amplify Caminos while also:
- Adding more variety to engage students from many walks of life. The rich topics and highly visual components featured in these units provide students with even more “windows and mirrors” and perspectives as they work to build knowledge.
- Adding more authentic literature. Each new research unit revolves around a collection of high-interest authentic trade books that will spark more curiosity and inspire more inquiry.
- Adding more flexibility. Units can be implemented for extended core instruction during flex periods, district-designated Pausing Points, or enrichment periods.
Units cover a variety of rich and relevant topics:

With these new units, students will soar to new heights with Dr. Ellen Ochoa, Amelia Earhart, and the Tuskegee Airmen. They’ll feel the rhythm as they learn about Jazz legends Miles Davis, Tito Puente, and Duke Ellington. And they’ll explore the far reaches of the world with Jacques Cousteau, Matthew Henson, and Eugenie Clark.
- Grade K: Art and the World Around Us/El arte y el mundo que nos rodea
- Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra
- Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación
- Grade 3: All That Jazz/Jazz y más
- Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro
- Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente
Units are available in English and Spanish, and will include the following components:
- Teacher Guide
- Student Activity Books
- Image Cards
- Trade Book Collection
- Digital Components (grades K–3 and 5)
Grade K: Art and the World Around Us/El arte y el mundo que nos rodea
“Every child is an artist,” said Picasso, meaning that every child uses art to explore and understand the world around them. Art and the World Around Us honors that truth by introducing Kindergarten students to some of the ways in which artists have explored and understood the worlds around them, too.
This domain introduces students to artists from different time periods, countries, and cultures. Throughout the unit, students learn about different kinds of art and how artists use the world around them as they make art. They also connect this to what they have already learned about the earth, plants, and animals in other Amplify CKLA and Amplify Caminos domains: Farms/Granjas, Plants/Plantas, and Taking Care of the Earth/Cuidar el planeta Tierra. In addition, students connect this to what they have learned about sculptors in the Presidents and American Symbols/Presidentes y símbolos de los Estados Unidos domain. As they explore different artists and artistic traditions, they develop their ideas about how humans are connected to each other and to the world around them.
As you read the texts in this unit, students may observe ways in which the characters or subjects are both similar to and different from students. This is a good opportunity to teach students awareness and sensitivity, building on the idea that all people share some things in common, and have other things that make them unique. This unit also offers an excellent opportunity to collaborate with your school’s art teacher, as many lessons have suggested activities to help students understand the kind of art they are studying.
Within this unit, students have opportunities to:
- Use details to describe art.
- Identify three ways to create art.
- Identify characteristics of cave art.
- Sequence the steps of making pottery.
- Describe how artists can create work connected to the world around them.
- Describe what makes Kehinde Wiley’s portraits unique.
- Explain how the texture of a surface can affect artwork created on it.
- Explain what a sculpture is.
- Describe what makes James Turrell’s artwork about the sky unique.
- Explain what a museum is and what kinds of things you can see or do there.
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.
- The First Drawing by Mordicai Gerstein
- Van Gogh and the Sunflowers by Laurence Anholt
- My Name is Georgia by Jeanette Winter
- A Life Made by Hand by Andrea D’Aquino
- Rainbow Weaver by Linda Elovitz Marshall
- Luna Loves Art by Joseph Coelho
Grade 1: Adventure Stories: Tales from the Edge of the World/Cuentos de aventuras: relatos desde los confines de la Tierra
This domain introduces students to adventure stories set around the world and challenges students to dig into the adventures through research. By listening to the Read-Alouds and trade books, students increase their vocabulary and reading comprehension skills, learn valuable lessons about perseverance and teamwork, and become familiar with gathering information for research.
In this unit, students study the careers of real-world explorers Dr. Eugenie Clark and Sophia Danenberg, marvel at the inventions of Jacques Cousteau, think critically about how teamwork and collaboration can make greater adventures possible, learn about the science and technology that enable adventures, and research some of the ways humans have confronted challenges at the edges of the world, from the oceans below to space above.
Each lesson in the domain builds students’ research skills as they ask questions, gather information, and write a paragraph about their findings. Students share what they have learned about adventures in an Adventure Gallery Walkthrough. By taking on the persona of one of the adventurers they meet in the Read-Alouds and trade books, students deliver their final paragraphs as if they are a “speaking portrait” of that person. Students are invited to dress up as that adventurer if they desire.
In addition, teachers can set aside time outside of the instructional block to create the picture frames students will hold as they present to the Adventure Gallery Walk guests. Frames can be made from shirt boxes, cardboard, construction paper, or any art supplies that are on hand. This might be an opportunity to collaborate with the school’s art department if resources are available. Another option is to ask students to make their frames at home with their caregivers. On the day of the Adventure Gallery Walk, students will be the hosts and take on specific jobs, such as welcoming the guests, describing their work throughout the unit, and pointing out the areas of study on the domain bulletin board. You can find a complete list of student jobs in Lesson 13.
This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered in the previous grade.
- Nursery Rhymes and Fables/Rimas y fábulas infantiles (Kindergarten)
- Stories/Cuentos (Kindergarten)
The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Adventure Stories: Tales from the Edge of the World. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.
- My Name is Gabito/Me llamo Gabito by Monica Brown
- Tomas and the Galápagos Adventure by Carolyn Lunn
- The Astronaut with a Song for the Stars: The Story of Dr. Ellen Ochoa by Julia Finley Mosca
- Mae Among the Stars by Roda Ahmed
- Shark Lady: The True Story of How Eugenie Clark Became the Ocean’s Most Fearless Scientist by Jess Keating
- Manfish by Jennifer Berne
- Keep On! The Story of Matthew Henson, Co-Discoverer of the North Pole by Deborah Hopkinson
- The Top of the World: Climbing Mount Everest by Steve Jenkins
Grade 2: Up, Up, and Away: The Age of Aviation/¡A volar! La era de la aviación
With this domain, students head up, up, and away with an introduction to the soaring history of aviation. Students learn the stories of early aviators, such as the Montgolfier brothers, the Wright brothers, Aída de Acosta, and Amelia Earhart.
During the unit, students study the science of flight, including the physics concept of lift, and research the social impacts of the world of flight. Finally, students let their research skills take flight as they explore key figures from the world of aviation.
The lessons in this domain build on earlier Grade 2 CKLA and Amplify Caminos domains about the westward expansion, early Greek civilizations, and Greek myths, and lay the foundation for learning about other periods of world history in future grades.
This unit builds upon the following Amplify CKLA and Amplify Caminos units that students will have encountered earlier in the year.
- The Ancient Greek Civilization/La civilización griega antigua (Grade 2)
- Greek Myths/Mitos griegos (Grade 2)
- Westward Expansion/La expansión hacia el oeste (Grade 2)
The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Up, Up, and Away: The Age of Aviation. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.
- Up and Away!: How Two Brothers Invented the Hot-Air Balloon by Jason Henry
- The Glorious Flight: Across the Channel with Louis Blériot by Alice and Martin Provensen
- The Flying Girl: How Aída de Acosta Learned to Soar by Margarita Engle
- Wood, Wire, Wings: Emma Lilian Todd Invents an Airplane by Kirsten Larson
- Helicopter Man: Igor Sikorsky and His Amazing Invention by Edwin Brit Wyckoff
- The Tuskegee Airmen Story by Lynn Homan and Thomas Reilly
- Skyward: The Story of Female Pilots in WWII by Sally Deng
- Aim for the Skies: Jerrie Mock and Joan Merriam Smith’s Race to Complete Amelia Earhart’s Quest by Aimee Bissonette
Grade 3: All That Jazz/Jazz y más
This domain teaches students about the vibrant music, poetry, and culture of the Jazz Age in the United States. Students learn about famous writers and musicians like Langston Hughes, Louis Armstrong, Billie Holiday, Melba Liston, Tito Puente, and Miles Davis. They study how the jazz art form took root in the South, then spread to the North to become the sound of the Harlem Renaissance, eventually connecting people around the world in musical expression.
During this unit, students perform guided research to further explore both the history of jazz and what jazz is today. They develop research skills and then use those skills to find deeper connections between the stories and music of the Jazz Age and music today. As students learn about the world of jazz, they collaborate and share ideas with their classmates. They also practice sharing feedback focused on their written work, and, at the end of the unit, students present their research to the group.
The lessons give students opportunities to dive into the rhythms and stories of jazz, utilizing the knowledge sequence in this unit to:
- Collaboratively generate research questions about jazz, jazz musicians, contemporary musicians from the state where they live or have lived, and the evolution of jazz music.
- Utilize Read-Alouds, independent reading, and partner reading to learn about the Jazz Age, the Harlem Renaissance, jazz music, and biographies of celebrated jazz musicians and writers.
- Research the answers to their generated questions, gather information, write a short research essay about a famous jazz musician, write a short essay about a contemporary musician from the state where they live or have lived, and give a presentation about their research.
Within this unit, students have opportunities to:
- Ask relevant questions and make pertinent comments
- Identify details in texts
- Determine key ideas of texts by evaluating details
- Make text-based inferences
- Generate questions based on prior knowledge and gathered information
- Synthesize details across texts to demonstrate comprehension
- Discuss and explain an author’s purpose
- Identify and cite reliable primary and secondary sources of information
- Compose a well-organized and focused informative essay
- Make connections between topics
- Present information using appropriate media
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.
- Birth of the Cool: How Jazz Great Miles Davis Found His Sound by Kathleen Cornell Berman
- Little Melba and Her Big Trombone by Kathryn Russell-Brown
- Benny Goodman and Teddy Wilson: Taking the Stage as the First Black and White Jazz Band in History by Lesa Cline-Ransome
- Tito Puente, Mambo King by Monica Brown
- Drum Dream Girl: How One Girl’s Courage Changed Music by Margarita Engle
- Duke Ellington: The Piano Prince and His Orchestra by Andrea Pinkney
In this unit, students also read the poem “Harlem” by Langston Hughes. (Available for free through the Academy of American Poets website and the Poetry Foundation website, with recorded audio available through the website for John Hancock College Preparatory High School.)
Grade 4: Energy: Past, Present, and Future/Energía: pasado, presente y futuro
With this domain, students become tomorrow’s problem solvers in this study of energy in the United States. Analytical reading skills are developed by examining the challenges of early energy innovators. Students then read about current energy practices and young energy change-makers across the world.
Throughout the unit, students conduct research into different sources of energy and present a proposal, putting them in the shoes of future energy innovators. They also use the knowledge sequence in this unit to:
- Collaboratively analyze texts to identify cause-effect and problem-solution relationships.
- Generate questions and conduct research about energy.
- Write an opinion essay making their case for a fuel of the future.
- Create energy proposals using primary and secondary resources.
This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades as well as earlier in the year.
- Plants/Plantas (Grade K)
- The History of the Earth/La historia de la Tierra (Grade 1)
- Eureka! Student Inventor/¡Eureka! El arte de la invención (Grade 4)
The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Energy: Past, Present, and Future. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.
- Buried Sunlight: How Fossil Fuels Have Changed the Earth by Molly Bang and Penny Chisholm
- Energy Island: How One Community Harnessed the Wind and Changed their World by Allan Drummond
- The Boy Who Harnessed the Wind: Picture Book Edition by William Kamkwamba and Bryan Mealer
Grade 5: Beyond Juneteenth: 1865 to present/Más allá de Juneteenth: de 1865 al presente
Within this domain, Students learn about General Granger’s announcement in Galveston, Texas on June 19, 1865, a day marked in history as Juneteenth. Texts and multimedia sources will support foundational knowledge-building about the end of slavery in the United States. A review of the first freedom announcement, President Lincoln’s Emancipation Proclamation, provides students with background knowledge to further emphasize the significance of Juneteenth in American history.
This unit also takes students on a journey beyond Juneteenth, as they study specific contributions of African Americans from 1865 to the present day. Students participate in a virtual field trip to Emancipation Park in Houston, Texas and use the knowledge sequence in this unit to:
- Collaboratively generate research questions about Juneteenth, The Great Migration, innovators and inventors, education, the humanities, activists, and allies.
- Use Read-Alouds, independent, and partner reading to learn about African American contributions from 1865 to the present.
- Research to find answers to their generated questions, gather information, and write a four-chapter Beyond Juneteenth book.
This unit builds upon the following Amplify CKLA units that students will have encountered in previous grades.
- Native Americans/Los nativos americanos (Grade K)
- A New Nation: American Independence/Una nueva nación: la independencia de los Estados Unidos
(Grade 1) - The U.S. Civil War/La Guerra Civil de los Estados Unidos (Grade 2)
- Immigration/La inmigración (Grade 2)
- Native Americans/Los nativos americanos (Grade 5)
The specific core content targeted in these domains is particularly relevant to the Read-Alouds students will hear in Beyond Juneteenth: 1865 to present. The background knowledge students bring to this unit will greatly enhance their understanding of the trade books used in this unit.
Instruction in this unit revolves around the following collection of high-interest authentic trade books. One copy of each trade book is included with the unit materials.
- All Different Now: Juneteenth, the First Day of Freedom by Angela Johnson
- The Great Migration: An American Story by Jacob Lawrence
- Sing a Song: How “Lift Every Voice and Sing” Inspired Generations by Kelly Starling Lyons
- Side by Side/ Lado a lado: The Story of Dolores Huerta and Cesar Chavez/ La Historia de Dolores Huerta y Cesar Chavez by Monica Brown
- Of Thee I Sing: A Letter to My Daughters by Barack Obama
Amplify CKLA Review for Alabama
A powerful partnership
Amplify Science was developed by the science education experts at the University of California, Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify.
The Lawrence Hall of Science
The University of California, Berkeley’s Lawrence Hall of Science is a recognized leader in PreK-12 science education, producing groundbreaking curriculum products for more than 40 years, including the international award-winning Seeds of Science/Roots of Reading®. The Hall’s curriculum materials are used in one in four classrooms across the nation.
Amplify
Amplify has been pioneering digital education products for more than 15 years, empowering teachers across the country to offer more personalized instruction and accelerate the potential of their students to become more active, engaged learners. Amplify has supported more than 200,000 educators and three million students in all 50 states.
Elementary school curriculum
Grade K
- Needs of Plants and Animals
- Pushes and Pulls
- Sunlight and Water
Grade 1
- Animal and Plant Defenses
- Light and Sound
- Spinning Earth
Grade 2
- Plant and Animal Relationships
- Properties of Materials
- Changing Landforms
Grade 3
- Balancing Forces
- Inheritance and Traits
- Environments and Survival
- Weather and Climate
Grade 4
- Energy Conversions
- Vision and Light
- Earth’s Features
- Waves, Energy, and Information
Grade 5
- Patterns of Earth and Sky
- Modeling Matter
- The Earth System
- Ecosystem Restoration
Middle school curriculum – Domain Model
Earth and Space Science
- Launch:
Geology on Mars - Plate Motion
- Engineering Internship:
Plate Motion - Rock Transformations
- Earth, Moon, and Sun
- Ocean, Atmosphere, and Climate
- Weather Patterns
- Earth’s Changing Climate
- Engineering Internship:
Earth’s Changing Climate
Life Science
- Launch:
Microbiome - Metabolism
- Engineering Internship:
Metabolism - Traits and Reproduction
- Populations and Resources
- Matter and Energy in Ecosystems
- Natural Selection
- Engineering Internship: Natural Selection
- Evolutionary History
Physical Science
- Launch:
Harnessing Human Energy - Force and Motion
- Engineering Internship:
Force and Motion - Magnetic Fields
- Thermal Energy
- Phase Change
- Engineering Internship: Phase Change
- Chemical Reactions
- Light Waves
Middle school curriculum – Integrated Model
Grade 6
- Launch:
Microbiome - Metabolism
- Engineering Internship:
Metabolism - Traits and Reproduction
- Thermal Energy
- Ocean, Atmosphere, and Climate
- Weather Patterns
- Earth’s Changing Climate
- Engineering Internship:
Earth’s Changing Climate
Grade 7
- Launch:
Geology on Mars - Plate Motion
- Engineering Internship:
Plate Motion - Rock Transformations
- Phase Change
- Engineering Internship: Phase Change
- Chemical Reactions
- Populations and Resources
- Matter and Energy in Ecosystems
Grade 8
- Launch:
Harnessing Human Energy - Force and Motion
- Engineering Internship:
Force and Motion - Magnetic Fields
- Light Waves
- Earth, Moon, and Sun
- Natural Selection
- Engineering Internship: Natural Selection
- Evolutionary History
Standards correlations
Download a full correlation to the Arizona Science Standards.
Spanish-language support
Amplify Science is committed to providing support to meet the needs of all learners, including multiple access points for Spanish-speaking students. Developed in conjunction with Spanish-language experts and classroom teachers, multiple components are available in Spanish across the Amplify Science curriculum.
Spanish-language materials include:
| COMPONENT | TEACHER/STUDENT |
| Student Investigation Notebooks (K–8) | Student |
| Science articles (6–8) | Student |
| Student Books (K–5) | Student |
| Video transcripts (6–8) | Student |
| Digital simulation translation key (6–8) | Student |
| Printed classroom materials (K–8) (Unit and chapter questions, key concepts, vocabulary cards, etc.) | Teacher and student |
| Copymasters (K–8) | Teacher |
| Assessments (K–8) | Teacher |
Contact your Arizona representative directly
Thomas Gearhart
Account Executive, Southwest
Email: tgearhart@amplify.com
Phone: (505) 206-7661
Access curriculum now
To begin your review, click the button to access the online digital curriculum.
Watch the video walkthroughs
Elementary school
Middle school
Welcome, Arizona reviewers!
Inspiring the next generation of Arizona scientists, engineers, and curious citizens. Amplify Science is a brand-new, engaging core curriculum designed for three-dimensional, phenomena-based learning.

A powerful partnership
Amplify Science was developed by the science education experts at the University of California, Berkeley’s Lawrence Hall of Science and the digital learning team at Amplify.
The Lawrence Hall of Science
The University of California, Berkeley’s Lawrence Hall of Science is a recognized leader in PreK-12 science education, producing groundbreaking curriculum products for more than 40 years, including the international award-winning Seeds of Science/Roots of Reading®. The Hall’s curriculum materials are used in one in four classrooms across the nation.
Amplify
Amplify has been pioneering digital education products for more than 15 years, empowering teachers across the country to offer more personalized instruction and accelerate the potential of their students to become more active, engaged learners. Amplify has supported more than 200,000 educators and three million students in all 50 states.
Elementary school curriculum
Grade K
- Needs of Plants and Animals
- Pushes and Pulls
- Sunlight and Water
Grade 1
- Animal and Plant Defenses
- Light and Sound
- Spinning Earth
Grade 2
- Plant and Animal Relationships
- Properties of Materials
- Changing Landforms
Grade 3
- Balancing Forces
- Inheritance and Traits
- Environments and Survival
- Weather and Climate
Grade 4
- Energy Conversions
- Vision and Light
- Earth’s Features
- Waves, Energy, and Information
Grade 5
- Patterns of Earth and Sky
- Modeling Matter
- The Earth System
- Ecosystem Restoration
Middle school curriculum – Domain Model
Earth and Space Science
- Launch:
Geology on Mars - Plate Motion
- Engineering Internship:
Plate Motion - Rock Transformations
- Earth, Moon, and Sun
- Ocean, Atmosphere, and Climate
- Weather Patterns
- Earth’s Changing Climate
- Engineering Internship:
Earth’s Changing Climate
Life Science
- Launch:
Microbiome - Metabolism
- Engineering Internship:
Metabolism - Traits and Reproduction
- Populations and Resources
- Matter and Energy in Ecosystems
- Natural Selection
- Engineering Internship: Natural Selection
- Evolutionary History
Physical Science
- Light Waves
- Launch:
Harnessing Human Energy - Force and Motion
- Engineering Internship:
Force and Motion - Magnetic Fields
- Thermal Energy
- Phase Change
- Engineering Internship: Phase Change
- Chemical Reactions
Middle school curriculum – Integrated Model
Grade 6
- Launch:
Microbiome - Metabolism
- Engineering Internship:
Metabolism - Traits and Reproduction
- Thermal Energy
- Ocean, Atmosphere, and Climate
- Weather Patterns
- Earth’s Changing Climate
- Engineering Internship:
Earth’s Changing Climate
Grade 7
- Launch:
Geology on Mars - Plate Motion
- Engineering Internship:
Plate Motion - Rock Transformations
- Phase Change
- Engineering Internship: Phase Change
- Chemical Reactions
- Populations and Resources
- Matter and Energy in Ecosystems
Grade 8
- Evolutionary History
- Launch:
Harnessing Human Energy - Force and Motion
- Engineering Internship:
Force and Motion - Magnetic Fields
- Light Waves
- Earth, Moon, and Sun
- Natural Selection
- Engineering Internship: Natural Selection
Standards correlations
Download a full correlation to the Arizona Science Standards.
Spanish-language support
Amplify Science is committed to providing support to meet the needs of all learners, including multiple access points for Spanish-speaking students. Developed in conjunction with Spanish-language experts and classroom teachers, multiple components are available in Spanish across the Amplify Science curriculum.
Spanish-language materials include:
Program Guide
For more information about the program, see our
Amplify Science Digital Program Guide.
Watch the video walkthroughs
Elementary school
Middle school
Demo access and your Arizona representative
To request demo access, please contact your Account Executive.
Thomas Gearhart
Senior Account Executive
Western, Eastern, and Southern AZ
Email: tgearhart@amplify.com
Phone: (505) 206-7661
Yvonne Rohde
Senior Account Executive
Northern AZ
Email: yrohde@amplify.com
Phone: (480) 673-0019
Laina Armbuster
Account Executive
Accounts 3,500 and below
Email: larmbuster@amplify.com
Phone: (602) 791-4135
2025
September 18, 2025
Edutopia: “Using Virtual Manipulatives in Math Class”
August 19, 2025
Education Week: “Here’s Why It’s Important for Teachers to Have a Say in Curriculum”
August 18, 2025
Investors Hangout: “Amplify Classroom Revolutionizes K-12 Teaching Experience”
August 5, 2025
WhaTech: “K-12 Online Education Market Set for Strong Expansion, Reaching $349.77 Billion by 2029”
August 4, 2025
Education Week: “Districts Using ‘High-Quality’ Reading Curricula Still Supplement With Other Materials. Why?”
July 9, 2025
K-12 Dive: “Youngest students see big reading gains post-COVID on DIBELS assessment”
June 25, 2025
The 74: “How Districts in Georgia, Maryland and D.C. Are Raising Reading Proficiency”
May 28, 2025
Open PR: “K-12 Online Education Market Forecast 2025-2034: Comprehensive Analysis And Growth Opportunities”
May 27, 2025
District Administration: “Early literacy: How to implement programs that start strong”
May 20, 2025
EdSource: “California schools prepare to introduce universal reading screening”
April 23, 2025
The 74: “Eric Adams Expands Reading, Math Curriculum Mandates to All NYC Middle Schools”
April 21, 2025
Daily News: “NYC expanding reading, math curriculum overhaul to more schools”
March 19, 2025
Education Next: “School Reinvention in Practice”
February 28, 2025
K-12 Dive, “Test yourself on this week’s K-12 news”
February 26, 2025
K-12 Dive: “Only 56% of K-2 students are ready to read”
January 24, 2025
Chalkbeat Philadelphia: “Two AI-powered charter schools could soon open in Pennsylvania”
January 16, 2025
Tech & Learning: “What is Polypad and How Can Teachers Use It?”
2024
December 18, 2024
EdSource: “State takes another step toward mandatory testing for reading difficulties in 2025”
December 6, 2024
Chalkbeat Philadelphia: “Philadelphia is now spending over $100 million on its curriculum overhaul. Here’s a breakdown.”
November 27, 2024
Lincoln Journal Star: “Lincoln Public Schools drops a classification rating on statewide assessment”
November 6, 2024
EdNC: “New K-3 literacy data shows growth in skills for North Carolina students”
October 1, 2024
The 74: “As NY District Implements Science of Reading, Parents Push for New Focus on Math”
September 18, 2024
Tech & Learning: “Tech & Learning Announces Winners of Best for Back to School 2024”
August 22, 2024
Chalkbeat Philadelphia: “Philadelphia school board renews charters, funds tutoring and a new science curriculum”
August 2, 2024
EdNC: “‘Dedication of our teachers’ praised in an update on the state’s science of reading journey”
July 31, 2024
The 74: “Classroom Case Study: To Maximize the Impact of Curriculum Mandates, Follow the Science of Reading”
July 23, 2024
Chalkbeat: “Should teachers customize their lessons or just stick to the ‘script’?”
July 7, 2024
The Economist: “Will artificial intelligence transform school?”
June 24, 2024
Chalkbeat: “Math instruction overhaul: NYC unveils new curriculum mandate for middle and high schools”
June 6, 2024
EdNC: “Perspective | Teachers are the heroes of the literacy story in North Carolina”
May 24, 2024
The Dallas Morning News: “How Don Quixote changed a Dallas public school classroom”
May 2, 2024
Akron.com: “Tutoring program at Summit Academy Akron Elementary School attracts national interest”
April 25, 2024
Edutopia: “Using Tech Tools to Energize Young Students’ Math Learning”
April 4, 2024
EdNC: “State Board hears update on district ESSER spending, literacy data, and Restart schools”
March 22, 2024
Thomas B Fordham Institute: “Five takeaways from Ohio’s baseline survey of elementary reading curricula”
March 15, 2024
The 74: “New Data: Despite K-2 Reading Gains, Students Face a ‘Much Harder Journey’ Ahead”
March 5, 2024
The 74: “Case Study: How One Texas School District Is Repurposing Staff Development Time to Embrace the Science of Reading”
February 21, 2024
Times Record News: “UPDATED: Texas Education Commissioner Mike Morath likes what he sees at local school”
February 19, 2024
Chalkbeat: “Chicago Public Schools recover from pandemic declines more than other districts, study shows”
February 7, 2024
The 74: “Building Oral Language Skills and Equity Through High-Quality Reading Curriculum”
2023
December 19, 2023
The 74: “Best Education Articles of 2023: Our 23 Most Important Stories About Students, Schools & Learning Recovery ”
December 8, 2023
Education Week: “Aligned Science Curriculum, Better Scores? Research Finds a Connection”
December 6, 2023
WRAL News: “Reading readiness rises in NC’s K-3 classrooms, new data shows”
November 27, 2023
The Dallas Morning News: “Dallas’ new lessons aim to keep kids on track, but some worry about limiting teachers”
November 2, 2023
Fort Worth Report: “Black students in Fort Worth ISD still struggle to read at grade level”
October 31, 2023
Chicago Tribune: “Lake Forest-area schools take stock of state grades; ‘While we celebrate our successes, we acknowledge that the journey … is ongoing’”
October 19, 2023
Chalkbeat: “NYC eyes middle and high school literacy overhaul. It’s asking families to weigh in.”
October 16, 2023
The 74: “As Virginia Rolls Out Ambitious Statewide High-Dosage Tutoring Effort This Week, 3 Keys to Success”
October 6, 2023
Language Magazine: “Embracing Bilingual Assessment”
September 18, 2023
Tech & Learning: “Best for Back to School 2023”
September 18, 2023
Chalkbeat: “Chicago Public Schools hired hundreds of tutors with federal COVID money. Can they keep them?”
September 7, 2023
EdNC: “Perspective | Union County Public Schools empowers educators, elevates readers”
August 14, 2023
Chicago Parent: “Common Core Math: How to Help Your Kids”
August 6, 2023
The News & Observer: “NC sees big increase in reading skills among K-3 students. Is the state back on track?”
August 4, 2023
The 74: “Slow Literacy Gains, Long COVID in Kids: 7 Insights into Pandemic Recovery and Aftermath in U.S. Schools”
August 3, 2023
EdNC: “State Board of Education: New reading data, parental leave, and a call to support public schools”
July 28, 2023
Houston Public Media: “New literacy curriculum is among the many changes coming to HISD”
July 17, 2023
Houston Chronicle: “Mike Miles says HISD schools will teach the ‘science of reading.’ Here’s what that means.”
July 11, 2023
The 74: “‘Education’s Long COVID’: New Data Shows Recovery Stalled for Most Students”
July 6, 2023
Houston Chronicle: “HISD superintendent gives voluntary schools one last chance to back out of New Education System”
June 29, 2023
The Report Card: “Larry Berger on Curriculum”
June 2, 2023
EdWeek Market Brief:”K-12 Dealmaking: Substitute Teaching Startup Secures $38M; Amplify Raises Undisclosed Series C”
May 25, 2023
The 74: “Expanding Access to Tutors: Nonprofit Grants $6 Million to 32 Learning Organizations Across 20 States to Help More Students”
April 21, 2023
The 74: “The ‘Transformation is Real’ as Science of Reading Takes Hold in N.C. Schools”
April 18, 2023
The 74: “Louisiana District Ravaged by Hurricane & COVID is Bouncing Back with Science”
April 5, 2023
WFAE: “NC midyear reading data shows gains, but third-grade goals remain elusive”
April 5, 2023
EdNC: “K-3 students show growth in literacy skills, mid-year DPI data show”
March 24, 2023
The 74: “COVID & School Recovery: Critics Warn Washington Bill Would Reduce Classroom Learning Time By 4 Hours a Week”
March 24, 2023
Edutopia: “Using Collective Leadership to Make a Major Shift in Your District”
March 15, 2023
K-12 Dive: “California at center of latest push for science-based reading approaches”
March 7, 2023
District Administration: “ESSER pressure: How one district intends to spend wisely as deadline looms”
March 3, 2023
The 74: “‘The Other Long COVID’ Affecting Kids: Missed Opportunities”
March 2, 2023
3 WTKR: “More students on track to learn to read in 2022-2023 school year since start of pandemic, researchers say”
March 2, 2023
ABC 7: “Reading skills rebounding for young students following pandemic disruptions”
March 1, 2023
K-12 Dive: “By The Numbers: DIBELS testing shows improved reading progress over last two years”
February 27, 2023
The 74: “Exclusive: Despite K-2 Reading Gains, Results Flat for 3rd Grade ‘COVID Kids’”
February 27, 2023
Education Week: “Students’ Early Literacy Skills Are Rebounding. See What the Data Show”
February 7, 2023
The 74: “Using High-Quality Curriculum Doesn’t Mean You Can’t Still Have Fun Learning”
January 13, 2023
NPR: “Can a middle school class help scientists create a cooler place to play?”
January 6, 2023
News & Record: “After a numbing low, NC students now heading in ‘right direction’ in reading, math”
January 5, 2023
CBS17.com: “K-3 students in NC make significant strides on literacy exams, DPI says”
2022
December 20, 2022
District Administration: “Literacy Under the Lights: 10 ways to bring the community back together”
December 14, 2022
The 74: “14 Charts This Year That Helped Us Better Understand Covid’s Impact On Students Teachers and Schools”
December 14, 2022
The 74: “Learning Loss Is Worse than NAEP Showed. Middle School Math Must Be the Priority”
November 21, 2022
Voicebot.ai: “SoapBox Labs Brings Child-Centered Voice AI to Dyslexia Detection Assessment”
October 24, 2022
Education Week: “Two Decades of Progress, Nearly Gone: National Math, Reading Scores Hit Historic Lows”
October 20, 2022
The 74: “Exclusive Literacy Data: Small Gains Since Last Fall, But No Reading Rebound”
August 30, 2022
The 74: “Test English Learners in the Languages They Speak at School and at Home”
August 29, 2022
WTKR TV NC: “News 3 investigates childhood literacy rates, raising money to give books to local kids for new school year”
August 28, 2022
EdNC: “Elementary students made growth last year in skills that lead to reading proficiency, new data show”
August 18, 2022
SHRM Blog: “The Great Resignation Skipped Us. Here’s why.”
August 16, 2022
Forbes: “Curious About Knowledge-Building Curricula? Check Out This Website”
July 20, 2022
District Administration: “Out-of-school STEM learning is much more powerful when it’s inclusive”
July 19, 2022
Chalkbeat: “The state of learning loss: 7 takeaways from the latest data”
June 28, 2022
The Preschool Podcast: “Early literacy strategies that stick with Darryl from Run-DMC and Makeda from Nickelodeon [Podcast]”
May 24, 2022
Forbes: “States That Want To Boost Literacy Should Keep An Eye On Texas”
April 24, 2022
Business Ecosystem Alliance: “Ecosystems in Education–Collaborating to Efficiently Serve the End User”
April 18, 2022
KQED Mind Shift: “Weighing the best strategies for reading intervention”
April 15, 2022
Fordham Institute: “Assessing a standards-aligned physical science curriculum”
March 23, 2022
The Baltimore Sun: “National test scores show student gains from in-person learning in all but a critical group: new and pre-readers | COMMENTARY”
March 15, 2022
NPR: “Two years ago schools shut down around the world. These are the biggest impacts”
March 11, 2022
The Hub – Dallas ISD: “Students at Greiner and Anson Jones Elementary find success in reading and writing with a new program”
March 10, 2022
NY Daily News: “Read it and weep: The new reading instruction emergency”
March 10, 2022
WISH TV Indianapolis: “Study shows student performance plummeted during pandemic”
March 9, 2022
New York Post: “Young students have suffered ‘alarming’ drops in reading skills during pandemic”
March 9, 2022
The Daily Caller: “Childhood Literacy Plummeted Following Pandemic Shutdowns, Studies Show”
March 8, 2022
The New York Times: “It’s ‘Alarming’: Children Are Severely Behind in Reading”
March 7, 2022
Education Next: “The Education Exchange: Pandemic Hurt Younger Students’ Learning Worse, Amplify Data Suggest”
February 28, 2022
The 74: “Our 12 Best Education Articles in February: Reflections on 700 Days of COVID Chaos, Setting a Bar for Unmasking in Schools, Burying Schools in Record Requests & More”
February 24, 2022
The Daily Advertiser: “Reading scores improve slightly, but pre-COVID reading levels are ‘the wrong goal’”
February 24, 2022
Wall Street Journal: “The School Shutdowns and Lost Literacy”
February 23, 2022
K-12 Dive: “DIBELS data illustrates pandemic reading setbacks”
February 22, 2022
ABC 7 Buffalo: “Children falling behind in reading”
February 18, 2022
The Carolina Journal: “Report: Elementary students lag in literacy due to pandemic”
February 16, 2022
The 74: “‘We Have First-Graders Who Can’t Sing the Alphabet Song’: Pandemic Continues to Push Young Readers Off Track, New Data Shows”
February 16, 2022
Education Week: “More Than 1 in 3 Children Who Started School in the Pandemic Need ‘Intensive’ Reading Help”
February 4, 2022
Literary Hub: “EXCLUSIVE: Watch Joshua Bennett Discuss A.R. Ammons’s poem “Cascadilla Falls”
January 26, 2022
The Ross Kaminsky Show: “Susan Lambert and the Literacy Gap”
January 19, 2022
K-12 Dive: “Report: Colorado reading law update boosts quality of literacy curriculum”
2021
December 15, 2021
Chalkbeat: “How Denver plans to address a drop in early elementary reading scores”
December 8, 2021
The SHRM Blog: “What’s the Best Work Perk of All? Contributing to the Social Good”
November 13, 2021
Hechinger Report: ‘The Reading Year’: First grade is critical for reading skills, but kids coming from disrupted kindergarten experiences are way behind”
October 20, 2021
Hechinger Report: “OPINION: Younger students were among those most hurt during the pandemic”
September 2, 2021
EdSurge: “An Edtech User’s Glossary to Speech Recognition and AI in the Classroom”
September, 2021
SIIA Education: “ED TECH SUCCESS STORIES”
August 23, 2021
CNN: “Irish tech firm helps kids’ voices be heard”
August 18, 2021
SoapBox Labs: “Can Speech Recognition Help Children Learn to Read?”
August 12, 2021
FOX Chicago Broadcast Interview: “Pandemic widens literacy gap for students”
August 3, 2021
T.H.E Journal: “More Students of Color at Risk in Reading After Pandemic”
July 28, 2021
The 74: “Early Reading Skills See a Rebound From In-Person Learning, But Racial Gaps Have Grown Wider, Tests Show”
July 28, 2021
K-12 Dive: “Reports: Math, reading progress slowed during first full school year of pandemic”
July 20, 2021
EdNC: “The mCLASS reading assessment tool is back in North Carolina classrooms, but it’s going to look different”
July 5, 2021
WBAL: “Baltimore students from all socio-economic backgrounds get a chance to ‘Amplify’ their learning skills”
June 15, 2021
Language Magazine: “Using Evidence to Overcome Adversity”
May 7, 2021
The Dallas Morning News: “How can a one-minute kindergarten test help teachers tackle the ‘COVID slide’?”
April 20, 2021
Education Week: “How Teachers and Curriculum Will Shape Ed Tech’s Future: A CEO Makes the Case”
March 24, 2021
The Hechinger Report: “OPINION: Children will need summer tutors to make up for pandemic learning loss”
March 23, 2021
Education Week: “Most States Fail to Measure Teachers’ Knowledge of the ‘Science of Reading,’ Report Says”
March 17, 2021
Axios: “How online education and tutoring could fight COVID learning loss”
March 16, 2021
USA Today: “Students are struggling to read behind masks and screens during COVID-19, but ‘expectations are no different’”
March 16, 2021
The 74: “Schools and COVID, a Year Later: 12 Months After Classrooms Closed, 12 Key Things We’ve Learned About How the Pandemic Disrupted Student Learning”
February 25, 2021
K–12 Dive: “Reading gaps widen in mid-year data, especially for K-1 students of color”
February 24, 2021
The 74: “One Year into Pandemic, Far Fewer Young Students are on Target to Learn How to Read, Tests Show”
February 17, 2021
NBC Los Angeles: “Local Students Design Rovers in Mission to Mars Student Challenge”
February 5, 2021
District Administration: “To save literacy, focus first on high-quality core instruction”
February 4, 2021
The Hechinger Report: “5 ways schools hope to fight Covid-19 learning loss”
January 5, 2021
The 74: “Science Matters Now More than Ever. The Time to Start Teaching It Is in Elementary School”
2020
December 15, 2020
Education Week: “Students’ Reading Losses Could Strain Schools’ Capacity to Help Them Catch Up”
December 9, 2020
Education Post: “How to Help Beginning Readers During the Pandemic”
December 3, 2020
American Consortium for Equity in Education: “The Importance of Quality Curriculum With Industry Voice”
September 29, 2020
The 74: “Beyond the Scantron: Ed Tech CEO Larry Berger on Why the Pandemic Is No Excuse to Abscond Accountability and ‘Disruptions Are Great Opportunities to Try Something New’”
May 25, 2020
The 74: “Class Disrupted Podcast Episode 2: Why Is My Child Doing So Many Worksheets Right Now?”
February 5, 2020
Getting Smart Podcast: “Larry Berger on EdTech Past and Future”
5 ways to boost biliteracy with the Science of Reading

Research shows that bilingual instruction (including dual language instruction and dual language immersion) supports the long-term success of dual language learners—in both languages, and beyond.
How do we best support those students?
More precisely, how are we serving our emergent bilingual students so that they can develop their biliteracy? This is a question posed by biliteracy expert and Amplify product specialist Alestra Flores Menéndez. And in our recent webinar Leveraging the Science of Reading to Boost Biliteracy, she and other experts attempt to answer it.
The power of biliteracy
Knowing more than one language is a powerful tool for opening up new worlds, meeting different people—or even just asking directions in an unfamiliar place.
But that’s not all. Bilingualism itself is a cognitive strength. Research conducted in 2015 by Claude Goldenberg and Kirstin Wagner links bilingualism to increased control over attention, improved working memory, greater awareness of the structure and form of language, and better abstract and symbolic representation skills.
“Our multilingual learners really are using their brains differently,” says Flores Menéndez.
And as with all students, we need to start early to make sure they’ve got their best shot at literacy.
The number of emerging bilingual students in our classrooms is growing, with 15.5% of them in grades K–3. That group includes the key developmental year—third grade.
Third grade is seen as the last year students learn to read before they start reading to learn. Without proficiency by fourth grade, they’re at risk of struggle across subjects.
And for many students, literacy is biliteracy. So how to make sure they get there?
Helping all multilingual learners succeed
“Bilingual instruction has been proven to be the most effective,” says Amplify biliteracy specialist Ana Torres, M.Ed., citing research by Virginia Thomas and Wayne Collier.
Other models (English immersion, transitional bilingual) are a fit for students with certain language profiles. As Torres notes, “We have to be intentional and purposeful to make sure there are positive outcomes for all students.”
But the proven impact of the bilingual model shows this: Knowledge of, and in, a second language builds from the first.
Foundational skills, vocabulary, and knowledge are essential, and all transfer to the second language—through explicit, research-based instruction.
Key elements of that instruction:
- Assessing literacy in both languages. “Assessing what [students] know in their native language is crucial to their success in acquiring that second language,” says Torres. A 2019 study at the University of Oregon looked at phonological awareness among Spanish-speaking pre-K students. (Phonological awareness represents the understanding that words are made up of a series of discrete sounds.) When assessed in English, 63% of students needed Tier 2 or 3 intervention. But when assessed in Spanish, only 21% did. “We need to look at the overall picture of students’ literacy,” Torres says. “Otherwise they’re going to get the wrong instruction.”
- Deliberately bridging from the native language to the new one. Spanish and English share many elements, among them letter sounds. If students know the sounds of the letter m in Spanish, they’ll be able to map that sound onto the same letter in English.
- Grounding in the Science of Reading. The Simple View of Reading has been validated in more than 150 studies across multiple languages. Foundational skills, vocabulary, and knowledge can all transfer through explicit instruction.
- Honoring students’ home languages, cultures, and community experiences. “It’s well documented that when children feel a sense of belonging, they’re more motivated to learn and experience more success in school,” says Menéndez. “Students should see themselves reflected positively in any curricular material.”
- Emphasizing knowledge. Perhaps you’re familiar with the iconic baseball study. Students with prior knowledge of baseball greatly outperformed their peers on reading comprehension—even those peers who were stronger readers. “Building knowledge is absolutely essential for literacy development,” says Menéndez.
Learn more
Explore Amplify Caminos.
Watch the full webinar: Leveraging the Science of Reading to Boost Biliteracy.
Biliteracy and Science of Reading principles in English and Spanish.
Read about The Importance of Dual Language Assessment in Early Literacy.
Binge our biliteracy podcast playlist.
S1-01: The journey from student to SpaceX engineer: Juan Vivas

In this episode, we join Eric Cross as he talks to supply chain engineer Juan Vivas of SpaceX about his experiences growing up as a Latino in STEM. Juan shares his story of moving to the United States to study engineering and becoming successful in his career as a scientist. Juan openly discusses the experiences that made a difference in his life and the teachers that inspired him along the way. He also shares his experience as an engineer in different fields, as well as what it’s like to work in the supply chain during COVID.
Explore more from Science Connections by visiting our main page.
Juan Vivas (00:00):
But to me, based on my experience so far, I think the best way to put it: An engineer is a technical problem-solver.
Eric Cross (00:28):
Welcome to Science Connections. I’m your host, Eric Cross. My guest today is Juan Vivas. Juan is a supply chain engineer for SpaceX. His career in STEM has pivoted from chemical engineering to working on foods like Cinnamon Toast Crunch to his current role at SpaceX, where he’s responsible for his work on Starlink, a technology that uses low-orbit satellites to provide internet access across the world. In this episode, Juan shares his story of how he became an engineer and how a thoughtful teacher used robotics to inspire him. I hope you enjoy this great conversation with Juan Vivas. Juan, thanks for being here.
Juan Vivas (01:14):
Yeah, yeah, of course! Super-excited to be here.
Eric Cross (01:19):
Hey, and starting off, I kind of like to ask your origin story. We were talking earlier about Marvel, and your journey of one working for…what I consider the closest thing that we have to SHIELD in the Marvel stories is SpaceX. Like with my own students, we talk about SpaceX like it’s a fictional thing, and we watch the rocket launches together and we watch the recovery and it’s so cool.
Juan Vivas (01:45):
Yeah.
Eric Cross (01:46):
And so when I knew that we were gonna be able to talk to you, I was excited. Like, I felt like I was a kid.
Juan Vivas (01:51):
<Laugh>
Eric Cross (01:51):
So I’d love to hear your origin story of you ultimately landing at SpaceX. And begin wherever kind of seems most natural to you.
Juan Vivas (01:59):
Yeah, yeah, of course. You know, I wasn’t one of those kids at from a young age I said “Oh, I’m gonna be an engineer.” Right? “I want to go and build all these things.” Where I grew up, and the social circle that I had, a lot of people were like doctors or lawyers. Just figured, you know, I’ll go to med school and go down the same path that 90% of like everyone else was gonna take. But in high school, I actually got into robotics. And, kind of like I mentioned, I wanted to do med school, that is what I figured I would end up doing. And then I got into robotics in high school. And I think that was what really kind of like changed my perspective of what I wanted to do, because basically these competitions were just—it was full-on driven by students. So we designed, programmed, and manufactured, like, the entire robot itself. And so through that I ended up doing a summer engineering program at the University of Maryland, the summer before going into my senior year in high school. And there we worked on a competition with underwater robots. And so we spent the entire summer, kind of similar scenario, designing a robot, manufacturing it, programming it. And then in the end it was like a competition in the buoyancy tank with different teams. And, you know, I think one thing that was really neat about that experience is that I got to hear Dr. John C. Mathers, who is a Nobel Prize physicist, speak to us in a room with, like, only 10 high school students. And just hearing his experience of where he started and the accomplishment that he’s been able to do, down in the STEM path, was really neat. And that summer was my final decision that I’m “OK, I know I want to be an engineer.” What’s interesting is I ended up choosing chemical engineering, instead of mechanical, which a lot of people, you know, based on all the experience that led me up to be an engineer, they asked me why I didn’t choose mechanical engineering. And I think one of the reasons why I chose chemical engineering is it’s very process-based. So one thing needs to happen, and there’s different inputs to that one step, and that step has an end-to-end reaction to it, right? So certain things need to happen in step one in order for step two to occur. And however the inputs happen in step one, it’s gonna affect the rest of the process. Honestly, very different than what I thought it was really gonna be. But what’s neat about chemical engineering is that it’s one of the most versatile engineering majors that you can have. Chemical engineering, because you work with a lot of process bases. Everything has a process, right? Everything needs to start with step one, and with, you know, step 10, whatever. And it’s all about optimization and improvement along those processes. So you can really take chemical engineering principles and apply ’em to different areas of a career, which is essentially the experience that I had in college. I had three internships with Dow Chemical where I did environmental health and safety, production, and supply-chain improvement. I then did research and development with Clorox. And then I did manufacturing engineering with General Mills. So really different job roles, different aspects, but same methodology applied.
Eric Cross (05:36):
I feel like there’s so much that you just said, <laugh> and I was trying to always, “I wanna ask him about that!” And in there, what I heard was there was a real pivotable, pivot moment in your life. Was the club…or was it a club, the robotics program? Or was that a class?
Juan Vivas (05:53):
You know, it was actually…it was VEX Robotics, specifically.
Eric Cross (05:56):
It was VEX! OK. Yeah, yeah. Really popular. And they still have it; I think we actually have some downstairs. So it was a club, and not necessarily a formal environment, where you were able to build. And it’s both collaborative and competitive, right? Like, there’s both aspects.
Juan Vivas (06:11):
Yep. Yep.
Eric Cross (06:11):
And, and then you had access to one of the only two facilities in the country that have these…were they buoyancy tanks?
Juan Vivas (06:20):
Buoyancy tanks, yep.
Eric Cross (06:21):
And there’s this book, Malcolm Gladwell’s Outliers, and then another similar book called Balance. It talks about how some of these innovators, like Steve Jobs and, and Bill Gates, they had access to things that other people didn’t. So, like, Bill Gates, I think at the University of Washington, had a computer that, you know, no one else did. And Jobs had one at, like, Hewlett-Packard. So it gave you this awesome headstart, where you’re able to test things in a real-life environment that kind of transfers into real-world skills. And then a few internships, so like, internships and mentors. So you had these people in the industry or people who were front-runners that were able to pour into you and give you these opportunities. And so it’s really neat to see how a program that starts as a club, kind of a competitive thing that introduced you to it and hooked you, then led to unfolding all of these opportunities that ultimately led you up to being here. And there’s one part—in looking at your LinkedIn profile, there’s a couple of really cool things that stand out. There’s a lot of cool things, but there’s two that really stood out. So one, working at SpaceX, and we’ll talk more about that, but I wanna go to General Mills and Cinnamon Toast Crunch. Because Cinnamon Toast Crunch is amazing.
Juan Vivas (07:39):
Yeah.
Eric Cross (07:39):
And you were part of the supply chain for that. In my head, I’m thinking, OK, like, what is he like responsible for? Like, getting the cinnamon and sugar?
Juan Vivas (07:51):
<Laugh>
Eric Cross (07:51):
What was, what did your job entail, when you were running that?
Juan Vivas (07:55):
There, I didn’t even know what I was gonna be doing until my first day. It was just, whatever the business need is, that’s where you’re gonna be put. So this was actually a high-priority plan for General Mills. And the production line that made Cinnamon Toast Crunch was split up into processes. So you have, they call it the process-process side, which is like literally raw materials, like making the cereal from scratch, baking it, adding the sugar, and then sending it to be packaged. And then you have the packaging-process side. so I was then placed as a packaging process lead, for the packaging side of that production line. So I was accountable for two packaging lines that packed out Cinnamon Toast Crunch. And that is where—that was actually my first real, you know, call it “real job,” like graduated college, going straight into the industry. I was a process lead for the packaging side of Cinnamon Toast Crunch.
Eric Cross (08:54):
So you went from cereal to rockets, <laugh>, which which is an amazing trajectory to have.
Juan Vivas (09:03):
Yeah. Yeah.
Eric Cross (09:04):
And when you kind of mentioned, back in your story about medical school, and, you know, it’s kinda like, what you see people doing, and you’re “OK, this is what I think I wanna do.” And then we have a perception in our mind about what a certain job’s gonna be like. And then reality hits. I think a lot of—when I ask my students, “What do you wanna do?” They think, like, “lawyer!” and when they think “lawyer!” they’re like, “I’m good at arguing!” Right? And until they find—until they talk to some lawyers and they find out like what that career can look like.
Juan Vivas (09:28):
Yeah.
Eric Cross (09:28):
You’re not just in the courtroom showing off your arguing skills. But, like, an engineer, when I talk to my students about what does it mean to be an engineer, often it’s very linear. It’s “I build bridges,” or, you know, maybe cars, but you’re a supply chain engineer. And, and that’s something that I think, now more than ever, it’s probably an incredibly critical role, especially considering that all of these supply constraints. Can you—what is a supply chain engineer? And what does it look like in your day-to-day? How is engineering rolled into that?
Juan Vivas (10:03):
Yeah, yeah. I think that’s an excellent question. I, too, once thought that engineering was just “I’m gonna be actually making something physical,” and like being super engineer-y about it. But, to me, based on my experience so far, I think the best way to put it: An engineer is a technical problem solver. As a supply chain engineer, specifically right now in my role at SpaceX…you know, as you can guess, the supply chain in the entire world is crazy. There’s no raw materials anywhere, and nothing can ever get on time. And so what I work on is I help our suppliers develop processes to meet the design criteria that we set up for like a specific part. As my job as a supply chain engineer, it’s “Can I take this design and make it manufacturable?” Right? “Can I go to any supplier and can they actually make this to the tolerance that the design engineer set them to be?” Nine out of 10 cases, the answer is no, essentially, is the best high-level way to put it.
Eric Cross (11:10):
When you’re solving these problems, is it this iterative process of going back and forth? Or is it just this aha-moment when you finally figure things out? ‘Cause I imagine they’re coming up with a design; you’re going back and saying, “Can this be manufactured?” or “Can it be done?” They’re saying no 90% of the time. And then are you the one responsible for kind of iterating on this, or changing it and then going back to them and telling them, asking them, until you get a yes? Is that—
Juan Vivas (11:33):
Yep. Yep, yep. Exactly. So we go through a process called Design for Manufacturing, DFMing. And where I essentially take, you know, the design engineer’s proposal, and then I have conversations with the suppliers, and then, that’s where the iteration begins. Where we go back and forth, back and forth, until we kind of meet in the middle to have something that can be manufacturable. Most of the times, in my experience, suppliers will always tell you no, just because they always want something that is manufactured really easily. And so you just gotta learn through experience. Like, when are they actually telling you something that’s a fact, versus when they’re just trying to you know, get out of a tolerance, or that “all right, all right, they mentioned that would just like make their jobs a little bit more difficult.”
Eric Cross (12:17):
So I’m hearing like there’s soft skills that are woven into the technical skills that you also need to be able to have.
Juan Vivas (12:23):
Oh, yes, absolutely. Yeah. I think, you know, as an engineer—and this is something, again, that I feel like you can only learn through experience—you’re gonna see that it’s not just you working to solve this one problem. Especially for a supply chain engineer. You’re talking with marketing; you’re talking with an industrial design team; you’re talking with logistics; you’re talking with procurement, materials management—just a whole set of people that don’t necessarily have technical background. Right? So sometimes, depending on the audience that I’m targeting, I’m always very, very peculiar on what is my target audience, right? How can I—how deep in my technical knowledge do I need to go? Because if I just, you know, talk straight Engineer, they either don’t care or they’re gonna be really confused about what I’m saying. So there is a stronghold of soft skills that definitely go into engineering, which I think are really important to communicate, you know, to, let’s say, students that are really interested in engineering. So you can be extremely smart and intelligent and really good at problem-solving, but if you don’t have those soft skills that you apply in the real world—’cause in the real world, you’re never only gonna be working with engineers, no matter like where you’re at—so having those soft skills to be able to manage with different backgrounds and different sort of people and different ways of thinking, it’s, I feel, really critical, for, for an engineer in the real world.
Eric Cross (13:50):
No, I think that’s a great point. It reminds me of teaching! And so many other professions where your ultimate goal is to really pour into this person in front of you and help develop them and create a sense of inquiry and wonder and personal growth and inspiration. But you’re also working within constraints and people and relationships. You know, you have your other teachers, you have parents, you have administrators, you have a district, you have communities, stakeholders. You have all of these different dynamics that you have to kind of navigate in order to ultimately help this child thrive. Versus just, like, being in the classroom: “OK, I just got <laugh>, the hundred or 200 students, just you and me. That’s it.” But that’s not the real world. And there’s this report that came out, I think Google ran it, Project Oxygen and Project Aristotle, and they asked the question, “What are the most effective traits of a good team and a manager?” And the top seven skills were all soft skills. So it is like exactly what you’re saying, where, yeah, it’s great that you have this technical aptitude, but if you’re not able to work with other people, problem-solve together, work with people of different backgrounds and perspectives, then you’re gonna run into some roadblocks. And that kind of dovetails, like, looking at things like if you looked at education from the perspective of an engineer. So you’re all about optimizing, right? Optimizing, working with what you got. When you look at education, are there any things that you would optimize to help improve the experience of students? Like, looking back, that you would fine-tune, that you think could provide better outcomes in the classroom?
Juan Vivas (15:28):
You know, I feel…I don’t know. Obviously I’m not a teacher. And I’m sure teachers just have so much stuff going on. But I think just like, finding…giving a chance to those students that you see a lot of potential in and really taking the time to mold them. You know, I did have a teacher who was able to mold me and give me that kind of one-on-one personal experience, right? I think honestly to me it just comes down to mentorship, and motivating students on what, you know, they’re passionate for. Like, putting them in front of engineers, right? Like finding engineers to come volunteer and explain to them. I genuinely believe it just takes one spark to really get a student on a trajectory where they can make an impact in the future. So to me, it comes down to, really, exposure. How much are you really exposing your students to…you know what, something I’ve learned, when I joined SpaceX, is that Elon doesn’t believe—well, you know, there there’s a lot of things that Elon believes and not believes in; there’s a whole different type of conversation!—but he doesn’t think that you can just take a curriculum, let’s say, and just apply it massively to everyone and expect like everyone to be it. That’s just naturally not how it works, right? Students learn at different paces; they have different sort of interests. This is actually why he created his own school for his kids in LA, called Ad Astra. You know, if you take that mentality, what that school is doing is that they’re working at the students’ pace and at the student’s interests, right? And I actually have a coworker who has his kids in that school. And I mean, these are one of the most brilliant kids I’ve ever known. Like, they are taking differential equations in the eighth grade. And I didn’t know what differential equations was until I was in college already and they told me, “This is a class you have to take.” <Laugh>. But it’s finding that crossway where, where is the curiosity of the student? What are they really interested in? and exposing them to that.
Eric Cross (17:51):
Yeah. And what I’m hearing of that is, in teacher-speak, a lot of personalized learning. Like you were talking about…is it Ad Astra?
Juan Vivas (17:59):
Ad Astra? Yep.
Eric Cross (18:01):
Ad Astra. You know, every student learns in their own way and they develop knowledge in their own way. And being able to personalize learning according to the students’ abilities and needs, and then accelerate or slow down, really produces some amazing effects. I know this is something that we as teachers try to do with the classroom. Scaling it is the challenge. But it’s great because even with people who are in charge of policy or people who have decision-making ability, hearing people from the top down saying, “Hey, look, this is what worked for me. This is how I was able to become successful. I had a teacher that was able to be a mentor to me because they knew me, they had a relationship with me, they were able to tap into my passions and use those passions to drive me to do or put me in programs that I might not have known about because they, they knew who I was.” And it’s not one-size-fits-all for everyone. So having—maybe it’s curriculum or learning experiences that are kind of modular, where students are able to maybe try on different things and get that exposure, I’m a big, big believer, like you are, in mentorship. That was a huge, huge thing in my life. Having mentors. It’s the reason why I became a science teacher. In seventh grade, I had a mentor who had us doing college-level science, you know, at UC San Diego. And it completely changed the trajectory of my life, in a direction that I wouldn’t have had without him. So I think that’s great. And it’s something that we as teachers would appreciate hearing. Going back to what you said…earlier you said your wife is a supply chain engineer as well. And so that means that there’s two people who are process-minded in the household. And this is kind of a lighter question, but I gotta wonder, do you have the most optimized flow for grocery shopping? <Laugh> Because…
Juan Vivas (19:49):
Yeah, I think we don’t spend more than like 20 minutes at a grocery store. Mind you, we only shop at Trader Joe’s and we have a very specific list before going in. And if you ever shop at Trader Joe’s, you just know where everything is ’cause it’s always there and it’s small, right? But yeah, like we’re, we’re in and out in like 15, 20 minutes. It’s great.
Eric Cross (20:11):
I love it. I love it. I feel like I’m that way by design. I go in with a purpose and this is exactly what I want. I know where the cookie butter is, <laugh>, I know where my coffee is, and then, OK, I’m in and out. Apple Pay or whatever I’m using. And then we’re good to go. Do you think…so as someone listening to this or some people even just becoming aware of supply chain engineering, what advice would you give someone that’s interested in pursuing this career path? If you maybe reverse-engineered your process, knowing what you know now, you were gonna give advice, you were that mentor, what are just some kind of tips or ideas or thoughts or trajectories that you’d think that they should aim for? I’m assuming like robotics….
Juan Vivas (20:56):
Yeah. You know, I think I would say definitely finding some sort of program that exposes you to a lot of things that you won’t be exposed to, like on a day-to-day basis, or something that you just can’t be exposed to naturally at school. And mentorship, honestly. I was born in Colombia and my parents were both—they’re still both professionals, but they were both professionals in Colombia. And when we moved to this country, this was like December of 1999. My parents started from scratch, and so they didn’t really grow up in the States, right? So when it was my time to go to college and do all of this stuff, it was just like me on my own figuring this stuff out. And, you know, they definitely made some mistakes when it came to college applications and whatnot. But once I was in college, I knew that the best way for my success was gonna be through mentorship. And that’s when I joined the, Society of Hispanic Professional Engineers, which is a nationwide organization. And each college, well, most college campuses, have their own chapter. In joining that, I was exposed to resume workshops, mock interviews—basically how do you even talk to a recruiter? Which is so critical, right? And personally that that organization was really what molded my actual professional career.
Eric Cross (22:19):
There’s this theme that I’m hearing, kind of weaving through this. And in addition to—as we’re talking about STEM and technical skills, in addition to that, there’s this thread that I’m receiving of…being able to form relationships with other people, for our students, is an important skill to teach and should be taught explicitly. Which isn’t…it’s not really a curriculum, right? Like, you don’t get tested on your ability to….conflict resolution or how to write an email or how to develop a relationship. And then the other part in I think what you just said is the aspect of community. Through this organization, you learned kind of some of these hidden rules, maybe I would call it.
Juan Vivas (23:04):
Yep.
Eric Cross (23:04):
It’s not that you didn’t have the…you had the aptitude. You had the drive. But there were these kind of hidden rules, and from moving to the US, you needed a community to be able to show you, so that you can kind of go through the proper steps.
Juan Vivas (23:16):
Exactly.
Eric Cross (23:17):
And so that created a lot of value for you.
Juan Vivas (23:19):
Yep.
Eric Cross (23:20):
Well, the last question that I have is, is just kind of a wondering. You have this awesome story, and the story continues to unfold. I gotta say, <laugh> I’m gonna be following your LinkedIn profile, because I think you just have kind of the coolest trajectory of going from, you know, General Mills, working in chemical engineering, and then ultimately it’s SpaceX. And every time I see the rocket taking off and landing, I’m gonna be thinking, thinking about you. So cool!
Juan Vivas (23:47):
Yeah. Yeah.
Eric Cross (23:49):
And personally, I have a hope that one day, one of my students will be at a company, you know, like SpaceX or Tesla or wherever, and one day I get to interview them and talk to them and see what they say. But the last question I want to ask is, is there, is there a teacher who inspired you, or a memorable experience that you have that made an impact on you?
Juan Vivas (24:16):
Yeah, yeah, of course. It was kind of you know, middle school going into high school. The way my school worked, everything was divided from pre-kindergarten, whatever, first to sixth grade, and then seventh grade to 12th grade. So I had a high school science teacher, Ms. Brown, Ms. Velda Brown, who, came from a small little island town on the east coast of Canada. Somehow landed, in the high school that I went to, to teach science. Going back to the beginning of the story where I mentioned that I figured whatever, I’ll go to med school. I played soccer, basketball, and, you know, I said, “I’ll figure it out once I graduate.” It might have been like life science in the eighth grade or something like that. But then she went on to teach me chemistry and physics as well. And when I was in the 10th grade, she approached me and she asked me if I wanted to join the robotics club. And I remember saying robotics? I don’t know. You know, naturally, in school, it’s different sorts of crowds: people that play sports and people that are like in like STEM clubs or whatever. And I was, “Ah, I don’t know; I don’t know how I feel about robotics; not really my thing….” But somehow she convinced me to join robotics. It’s me, coming into this group of kids that already knew each other, and they were all working on robotics. And I’m, “Yeah, I mean, I guess I’m just here to try this thing out.” It was a thing where we met every single Saturday at like seven in the morning. And there were times where I literally had to choose, “Do I go to like a soccer game or do I go to you help my team with robotics?” And I completely loved it. Like, I fell in love with the aspect of building something from scratch, and just making it operative. And she ended up just being a huge mentor for me in high school, actually. With her, with the help of her, I ended up opening the robotics club at my school. And before I left, we opened it up to middle schoolers. And then, you know, later, years later down the road when I was in college, I found out that it was now a whole-school thing. So there was an elementary robotics club at the school, the middle school one, and then the high school one were still a thing like years after I left. And that was like just so amazing to hear. But yeah, it was Ms. Velda Brown, my high school science teacher, that really took her time to mold me and get me into robotics, and really mentor me. And honestly, I’m sure you as teachers, you guys probably hear about it a lot, but you can have a lot of power in shaping a kid by just telling—believing in them, right? She believed in me so much that I would go on to be a successful engineer. And I’m. “OK, yeah, yeah, you’re just saying it.” But she spoke life into her students up to this day. I still speak about it with my wife, and when I’m in conversations about this, that if it wasn’t for my high school science teacher, I would not—well, no, I would probably not be an engineer right now.
Eric Cross (27:38):
Wow. Shout out to Ms. Velda Brown <laugh>. Would you say she spoke…I think one thing that just resonated with me is when you said she “spoke life” into you.
Juan Vivas (27:46):
Yeah.
Eric Cross (27:46):
That was really powerful. And I think we as teachers have that power and we don’t realize it. Because, you know, we get so we’re so familiar and living day-to-day, but we do have the power of life, speaking life, into our young people. And, yeah, that was—
Juan Vivas (28:03):
Absolutely, yeah. You know, I think obviously people grew up with different backgrounds, different communities, life situations, right? So imagine having like a student that is similar in that environment and then they just hear someone at their school, like, “Hey, you’re really good at this. why don’t you consider doing this?” And that’s when I feel teachers have that power. Where like they don’t necessarily know the background, but they can make that opportunity, or make that decision in the moment, to really shape a student’s life.
Eric Cross (28:37):
And we need to hear that. And I think, I hope that other teachers listening to this will be reminded that many times we don’t get to reap the harvest. We don’t get to see the <laugh> Juan Vivases at SpaceX. They just kind of go, and they disappear, and we hope for the best, and we get a new group. But every once in a while they come back, and we get to see what our watering or seed-planting was able to produce. And so, just know that you sharing your story for educators, and for definitely Ms. Brown, makes a huge difference and is a huge encouragement. So.
Juan Vivas (29:11):
You know, I think we touched on earlier, you know, how do I end up going from cereal to rockets, right? And I think it ties along with what I mentioned earlier of just taking—as an engineer, you’re really a critical problem solver, right? And you think that methodology. And if you find a way, you can apply it to different sectors. When I was doing a lot of like the packaging process stuff at General Mills, being a lead on a high-volume manufacturing line, what I do for SpaceX specifically, right now, I’m actually on the Starlink project. So if you’re up to date with Starlink, it’s, it’s essentially high reliable, fast internet that we’re providing to areas where usually people don’t have access to internet, right? Or maybe they do, but it’s extremely expensive. Because to an internet provider company, the benefit is not there, if they extend an entire internet fiber line out to their place because it’s only directed to them, right? So that’s, that’s essentially what Starlink is trying to solve. And this is the first time that SpaceX is facing a consumer packaging scenario. Before it was just rockets. And now they’re selling a product to consumers. They had never done that before, especially in a high-volume manufacturing setting. And so I am the supplier development engineer for all the consumer-facing packaging for the Starlink product itself. And that’s essentially how all those thoughts connected, where I had this experience coming from General Mills and packaging high-volume manufacturing. And then when Starlink started, they’re all, “Right, well, who knows anything about packaging?” Right? “We know so much about rockets, we need someone with this technical background.” And that’s essentially how I bridge over to SpaceX.
Eric Cross (31:11):
And so while you’re working at SpaceX, you’re working on Starlink, which I know you mentioned that—you said that it’s providing internet globally, which in and of itself, we—especially those of us that live in major cities—we kind of take for granted. Internet is like a utility. But we don’t maybe realize that in many parts of the world, internet is not reliable or even accessible.
Juan Vivas (31:33):
Right. Right.
Eric Cross (31:34):
I see every once in a while, I think, the StarlinK satellites sometimes are visible?
Juan Vivas (31:38):
Yep.
Eric Cross (31:39):
Low orbit?
Juan Vivas (31:39):
Yeah. Yeah. You can go—they’ll kind of be like a little train of bright stars that move along together. Yep.
Eric Cross (31:46):
And that must—that must feel…I mean, we all have jobs and we’re all doing different things, but you’re working on a project and you’re engineering something that actually can provide a lot of opportunities or close a gap in some parts of the world where they don’t have access to internet. They’re gonna be able to have access and be connected all over. I dunno, the word would be “existential.” Existential value. Like, what you’re doing is actually providing a service for people. Humanity. Like, addressing a critical need in many, many places around the world.
Juan Vivas (32:26):
Yeah. We’ve had stories where we have sent Starlink kids to a small school in a village in rural Chile, right in South America. And for the first time ever, they’ve had internet. We have supported disaster relief in Europe. I think this past summer, Europe had really bad floods. We sent Starlink kits out there. You know, the vision of working at an Elon Musk company and SpaceX and Starlink—this is all stuff that is being done for the first time in history. We have never, ever done anything like this before until now. And to be able to provide those that don’t have the access to—to your point, it’s kind of wild, right? Like we, we just take it for granted. “Oh yeah, I just have internet. Let me log on.” There are people on Earth right now that have never been on the internet. Or don’t even know what the internet is. And that’s essentially the, the gap that Startlink is starting to close.
Eric Cross (33:26):
Yeah. We think about that while my students are doing TikTok dances. <Laugh> And there are people who, you know, never, never been connected. And, it kind of makes me more like, just inside, if I can ask: What’s it like working at SpaceX? I showed my students what it’s like working at some of the Silicon Valley companies. ‘Cause just to show them there’s slides and food and, you know, they kind developed this ecosystem inside so that it’s really kind of homey to kind of keep you there, you know. When you’re working and there’s bikes and things like that. And that’s a very Silicon Valley type of thing. But, you know, in listening to you talk about SpaceX and Elon, you know, you’re with a really visionary kind of company, and when I hear you talk about it, there’s I can hear this passion, this, “we’re doing something.” Is that culture, like, pervasive everywhere? Are you around folks that kind of are on that same wavelength? Because I definitely get it from you as you talk about what you do.
Juan Vivas (34:28):
Yeah, yeah. Definitely. I think, as an engineer, you know, going to SpaceX and working at SpaceX, it’s essentially—personally, I believe right now in the US it’s like the mecca of engineering, right? Like, it is where engineering in this most, you know, shape and manner, it’s being applied. I think what’s really interesting is that the way that Elon looks at it is just iterate, and iterate fast, right? Like, fail and fail fast. I think as an engineer, you always want to have things perfect, right? And so you spend a lot of time in making a decision or investigating something or whatever. And working at SpaceX is the complete opposite. It’s just you know, “Assume, state your assumptions—like, what are you assuming right now? What are the risk at it? And just make a decision and then see what the result is.” You know, so it’s an environment where you learn, really quick.
Eric Cross (35:28):
You said something that I think was powerful and I hope, I think <laugh>, this is definitely, I’m gonna get a clip of this <laugh> of you saying it. Because it speaks directly to, I think, what a lot of students struggle with in the classroom, is there’s this competition or feeling that you always need to be right. And you need to be right the first try, on the first time. And a lot of times it’s because students will compare themselves to each other, or there’s a tremendous amount of pressure to be successful. But you said, “Fail and fail fast, iterate, state your assumptions.” And it sounds like this critical part of being an engineer or in what you do, like there’s no room for ego or attaching your identity or your sense of value or worth or ability to whether you’re able to solve a problem in the first try.
Juan Vivas (36:13):
Yep.
Eric Cross (36:14):
Like, you have to be OK with the cycle, is kind of what I’m hearing from you. Is that, is that right?
Juan Vivas (36:19):
Yep. Exactly. It only took six months to develop the product from scratch and launch it to the public, which is insane. Nowhere in the world will any company ever iterate that fast and come up with a brand-new project. But it’s because of that mentality—like you’re saying, it’s not about like just trying to make it perfect and have all this information. And I think Elon has learned this personally, you know, through Tesla and the beginning of SpaceX. It’s, “I can wait to have all this information, and most likely I’m still gonna be wrong after I make the decision.” So it’s, “Might as well take the risk, do the decision, and then just see where you learn from it, right?” And then you keep applying that, applying that. So it’s like you iterate, iterate, iterate, iterate until you get what you want.
Eric Cross (37:00):
I think this is even, like, great advice. I’m taking this personally because I get paralysis by analysis <laugh>.
Juan Vivas (37:06):
Yep.
Eric Cross (37:07):
You know, I’ll research something to death but then not actually execute. Like, I need to make a decision and do it and then course-correct along the way. Somebody once told me it’s a lot easier to turn a moving car than it is a car that’s sitting still. And so as you’re kind of flowing, you’re just making these adjustments along the way until you end up on the path that you want to be. So I think that there’s so many gems in the things that you’re saying right now. What I’m thinking through the lens of my seventh graders that want to work in any STEM field—I mean, really, any field in general, but especially engineering, especially the STEM fields—knowing that, pick it, make a decision, move forward, and then course-correct along the way. That’s what science looks like in the real world.
Juan Vivas (37:49):
Yep. Exactly. Yep. And definitely most important—and I feel like this is sometimes where, not necessarily education in general, but it’s just, we want students to, “OK, you need to get it right the perfect time, right?” But it’s like, every student is gonna think differently. A student is gonna take a different assumption based on their background and experiences. And I mean, you know, we can go a lot deeper in that, but the way a student is shaped, they’re gonna take certain assumptions. So that’s where it gets interesting. OK, why are you assuming that? Where’s your thought process in this?
Eric Cross (38:25):
And we all come from different backgrounds and mindsets and filters and biases that cause us to look at something a certain way. And it’s not just like calling it out, just going, “Hey look, this is what it is.” Like autopsy without blame, this is what I’m working with. Let’s discuss it openly. Right? And if we started that process earlier, you know, younger, in classrooms, we can de-stigmatize the right answer being the best answer more, as opposed to focusing on process as opposed to outcome. And then you kinda get used to wanting to go through the process. I look at it like video games and I talk to my students. I say, “You know, you don’t pick up a video game that’s brand-new and then play it and then you die once and you’re ‘Ah, I’m never gonna play this game again.’ You know, it just doesn’t work that way. You’re going through this iterative process, and no matter what you play, you’re trying things differently. You’re data collecting. And then you’re making new decisions based on the data that you collected.” And for some of my kids, they’ll just raise their hands, say, “No, I just get mad and throw the controller across the room.” <Laugh> But I go, “Yeah, and then you’ll try it again.”
Juan Vivas (39:33):
The best way to know how not to do something is to fail. And so you already…I mean, what is that famous quote? I think that’s why Thomas Edison’s, “Oh, I, did not fail 99 times. Right? I only found 99 times…” I mean, that is that is true. And I feel like at work in a SpaceX, that is something that probably the core of it comes from there. It’s you know, any failure, quote unquote, that you may take it as a failure, it’s really not. You’re just “OK, we, we tried that. It didn’t work. Like what are we gonna do next?” So it’s just like taking that learning and like moving off with it quickly.
Eric Cross (40:09):
I heard a couple of teachers say, “Things fail: First Attempt In Learning: F A I L.” And then another teacher, one of my mentor teachers, she said, “There’s no such thing as failure, just data, in science.”
Juan Vivas (40:20):
Mm-hmm. <affirmative>. Exactly. Yep.
Eric Cross (40:23):
And so I’ve always taken that to heart. And I share that with my own students, just, “A ‘no,’ a lot of times, will tell you more information than a ‘yes.’” ‘Cause if something works in the first try, you may not exactly know why it worked. It just did.
Juan Vivas (40:34):
Yeah. Yep.
Eric Cross (40:37):
So yeah. Well, I went on your time, brother. Dude. <laugh>. The time flew. It was…
Juan Vivas (40:46):
Yeah.
Eric Cross (40:47):
There were so many things I was trying to write out as you were talking, that I just felt like, “This guy is sharing so many gems!” But yeah, I want to thank you for taking time outta your day and for sharing that information for your passion for what you do. And, I don’t know, I think that students and teachers that listen to this will get an insight from a perspective that really matters. ‘Cause ultimately we’re, we’re trying to really prepare our students for real life. Maybe I’ll email you privately if I order a Tesla, if you can move me higher up the Cybertruck line. <laugh>
Juan Vivas (41:22):
Yeah. No promises.
Eric Cross (41:24):
<laugh>
Juan Vivas (41:25):
Yeah. No, I appreciate you guys having me, having me here, and be able to speak on my experience. And hopefully it sparks a couple, one, even if it’s just one teacher that will spark another student, that is already success there. So.
Eric Cross (41:42):
Well I know, I know what you said resonates with me and it fills my cup. And I’m excited. So I’m already thinking of some ideas of things that I can do, just because of this conversation, and I know other people will as well. And, again, this is Juan Vivas, who’s a supply development engineer at SpaceX. He’s worked at some amazing places. And someone who believes deeply in not only the power of the technical skills, but the heart skills, and how community makes a huge impact in his life. It made a huge impact in him ultimately becoming a scientist, and now working on a project at SpaceX, Starlink, that is going to provide access to the world, to the web. And that’ll ultimately help us solve more problems and innovate and create some solutions that will benefit everybody. Thank you, sir. Appreciate you.
Juan Vivas (42:30):
Yeah, thank you. Thank you so much, Eric. Appreciate it.
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Meet the guest
Juan Vivas is a chemical engineer currently working as a Supplier Development Engineer at SpaceX. Juan got his start at the University of Florida, where he led the Society of Hispanic Engineers (SHPE) as vice president. He’s worked for companies like Clorox, Dow Chemical, and General Mills. Juan lives in Los Angeles, California with his wife and two dogs.

About Science Connections: The podcast
Welcome to Science Connections: The Podcast! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher.
Our new activity page: Inside the renovation
Our new activity page: Inside the renovation
Winter Wrap-Up 01: Problem-solving and facilitating classroom discussions

As we prep for an exciting new season of Math Teacher Lounge: The Podcast, hosts Bethany Lockhart Johnson and Dan Meyer are looking back at the amazing speakers and conversations from past episodes and sharing some of their favorites!
First up: A season 2 double feature of the power of problem-solving with Fawn Nguyen and Facilitating Classroom Discussions with authors Christy Hermann Thompson and Kassia Omohundro Wedekind.
Fawn is a specialist on Amplify’s advanced math team and a former math teacher and math coach—so she knows her stuff! You’ll hear about her five criteria for good problem-solving problems, and the power and importance of exposing all students to problem-solving.
Then, we’ll move into Bethany and Dan’s conversation with Christy and Kassia to learn how hands-down conversations allow students to become better listeners and the steps you can take to implement hands-down conversations in your classroom.
Explore more from Math Teacher Lounge by visiting our main page.
Dan Meyer: (00:01)
Hey folks. Welcome back to Math Teacher Lounge. My name is Dan Meyer.
Bethany Lockhart Johnson: (00:03)
And I’m Bethany Lockhart Johnson. Hello! Happy New Year! Hello, Dan Meyer.
Dan Meyer: (00:09)
HNY, Bethany. HNY to you and to all of the listeners out there in Math Teacher Lounge. HNY is the abbreviation that I use sometimes.
Bethany Lockhart Johnson: (00:18)
Oh, is that what that is? Is that—I wasn’t sure what that was. If on my birthday you send me HBD…no.
Dan Meyer: (00:25)
Yeah.
Bethany Lockhart Johnson: (00:25)
No. Unacceptable.
Dan Meyer: (00:27)
I will. No, you want the full thing. To demonstrate my care for your birthday, I gotta spell the whole thing out. I’m just trying to stay relevant. You know, I’m just trying to stay relevant and youthful. So I’m using The Abreevs.
Bethany Lockhart Johnson: (00:38)
The Brevvies.
Dan Meyer: (00:40)
To the extent of even abbreviating the word “abbreviation.” . So, any New Year’s resolutions you wanna share with the listeners, Bethany? While you think, I’ll just share mine real quick here. This is the year of the perfect Wordle streak for yours truly, Dan Meyer. I’m going the full 365. Watch. Watch me do it, folks. I’m naming it here. Live on air. recorded on air. Perfect Wordle year. What you got for the listeners, Bethany?
Bethany Lockhart Johnson: (01:10)
Let’s see. It’s raining very hard here in Southern California, and my newest resolution is to embrace nature. My child wants nothing more than to go and splash in all the puddles.
Dan Meyer: (01:22)
Nice.
Bethany Lockhart Johnson: (01:23)
And be amongst the mud. And what I’m gonna keep telling myself—and so far, so far, I’ve been doing pretty good with this—thrive, child. Splash. Squish. We can dry you off. You will not melt. So I want to keep finding opportunities. Like, for instance, my response is, “It’s pouring rain. Let’s stay under covers and let’s read this book together!” And his response is like, banging on the windows, like, “Please let me go outside.” So I myself have some rain boots. I’m going to go forth and splash with my child. So hopefully you’ll see me doing that a bit more.
Dan Meyer: (02:08)
Love that.
Bethany Lockhart Johnson: (02:09)
Ask me what I’m doing. I’m outside, splashing in nature.
Dan Meyer: (02:12)
I don’t wanna put words in your mouth, but I have felt a bit like parenting is a means for rounding out aspects of my own personality that I have felt are—or habits or hobbies that are lacking. Like, I’ve never been real outdoorsy or into camping, but I don’t want that to limit my own kids’ aspirations or interests. So let’s do the thing that’s not super natural for me, for their own sake. Which is kind of what I’m hearing a little bit from you, which—that sounds exciting.
Bethany Lockhart Johnson: (02:35)
Do you wanna go camping together? Like, our families?
Dan Meyer: (02:38)
Uhhh. Let’s take this one off the air. I also love something that’s more relevant to a teachers audience that you said, that I think is super interesting, is how there’s ways that we can make the jobs harder for ourselves, that are optional. And what I hear from you is like, “I’m just not gonna freak out. We’re getting wet. We’re getting soggy. And I’m just not gonna freak out.” And I just think that that’s interesting to think about, the things that we take on, you know, that’s optional. Freaking out is optional, sometimes. And there’s other areas, I think, for parenting or for teaching, where it’s like, “Oh, do I really need to choose this particular battle?” And to reconsider that.
Bethany Lockhart Johnson: (03:19)
And in that spirit, our whole Wordle episode that we talked about? Do you remember you talked about how beautiful Wordle mistakes are, and how you keep learning from mistakes? I mean, you obviously want the final correct answer, but just, you know, when you get on a losing streak, Dan, I hope you’ll continue to pat yourself on the back.
Dan Meyer: (03:38)
Well, I will not be taking on a losing streak, or even lose one day. This is what’s gonna happen here. I’m just speaking that and putting it out in the universe.
Bethany Lockhart Johnson: (03:49)
Speak it!
Dan Meyer: (03:50)
But if it happens, I will be taking a long break from all human interaction. And lamenting, as I do.
Bethany Lockhart Johnson: (03:59)
Camping. Dan’s off in the woods, weeping.
Dan Meyer: (04:01)
That’s right. That’s right. Yeah. Well, we wanna share with you folks—an exciting programming note is that we are currently working very hard on producing a special fifth season of this podcast. You thought the other seasons were special? Let me tell you, this fifth season gives new meaning to the word “special.” And we can’t wait to tell you more about that. But in the meantime, Bethany, you wanna tell ’em what we’re up to in the meantime?
Bethany Lockhart Johnson: (04:26)
Well, Dan and I went back and we were having a conversation about some of our most favorite conversations, or the conversations that people bring up to us. Like, when we were at the CMC conference, or NCTM, folks, when we talk about the podcast, they’re like, “Oh, I loved this one.” “Oh, I love this one.” And that, to me, I don’t know, that is exciting. And so, while we’re putting together this new season over these next few weeks, we’re gonna feature a few of our favorite conversations from our first four seasons. Dan, four seasons!
Dan Meyer: (04:59)
We’ve been at this for four seasons! And I do want to just emphasize something you said, Bethany: that all of our conversations are our favorite conversations. They’re all our special children. What we just felt like you, the listeners, did not quite learn enough from some of these, and so we really needed you to hear them again to make sure you got everything that you should get out of them. So, let’s tell ’em who’s up first. And who’s up first is a conversation we had about problem-solving with Fawn Nguyen, who’s an advanced math team specialist here at Amplify. Been a former math coach, math teacher. Just really done the work, is what I’d say about Fawn.
Bethany Lockhart Johnson: (05:38)
If you have been listening to this podcast, you’re like, “Whoa, whoa. Wait, I have not missed an episode. I didn’t hear Fawn’s interview.” That is because we used to be video only, not podcasts. So this conversation with Fawn was from, what, our second season?
Dan Meyer: (05:55)
Yeah.
Bethany Lockhart Johnson: (05:56)
And we were on video. And another thing about it is it was, this is a conversation that, when folks talk about problem-solving, a lot of the responses we’ve gotten are like, “Wait, I’ve never thought of problem-solving this way.” In fact, you’ll hear us say that exact thing . So we really appreciated the time with Fawn. And yeah.
Dan Meyer: (06:17)
Enjoy it, folks. Especially enjoy Fawn’s—I think a four-part?—definition of problem-solving, a word that’s often kind of mushily defined. And Fawn really goes into, I think, precision and depth on it. So hope you folks enjoy it.
Dan Meyer: (06:35)
Give a wave, Fawn, to the camera. Would you? Cool. Fawn has been a teacher for a very long time. She is someone who could have left the classroom at any point and taken any number of jobs in the math-teaching universe. But I’ve always admired that Fawn has taught kids for a very long time, and that has given her, in my view, just a lot of clarity on what is important to her about students. I’ve seen her not get upset or obsessed with certain kinds of small niche issues that a lot of us, like, they get a lot of us down in the classroom, sometimes. And she’s maintained a laser focus on among many other things, problem-solving as a virtue in mathematics classrooms. So, please welcome Fawn to our show. Fawn, thanks so much for being here.
Fawn Nguyen: (07:18)
Hey, thank you so much. Thank you. I am so excited and honored that you guys invited me for this, Bethany and Dan.
Bethany Lockhart Johnson: (07:24)
Thank you for being here.
Fawn Nguyen: (07:26)
I love you, Bethany. Dan, I can tolerate, but I love you.
Dan Meyer: (07:30)
I really worked myself up there on that complimentary opening for you, and that’s how you get me back, here? OK. Problem-solving is fully on the consciousness of math teachers. Every math teacher knows that they need to say, like, “Yeah, oh, problem-solving. Yes. Love it. Do it. I dig it.” But even so, I feel like it’s become kind of a buzzword. Like, it’s not always obvious what that means…or am I doing problem-solving, really? So we’re curious: As someone who is a problem-solving expert, who is asked all over the world to talk about problem-solving: How do I know if I’m doing problem-solving in my classroom?
Fawn Nguyen: (08:12)
This is not my definition of it, but—nor am I an expert, by the way, Dan, thank you! but I try really, really hard and work on it!—my definition—or it’s not my definition, but I like it because it’s short and honest—is “problem-solving is what we do when we don’t know what to do.” And so—
Bethany Lockhart Johnson: (08:32)
Ooh!
Fawn Nguyen: (08:32)
—with that mind-frame, I’m hoping teachers think more about what they task. Because I think it gets mislabeled a lot, as to what is problem-solving. If the kids already know what to do, there’s a solution path. Then it’s not problem-solving.
Dan Meyer: (08:48)
Yeah. So what are examples then? An example of, like, I might call something problem-solving, but it it fails that particular definition that you just proposed there. Very short, very honest definition.
Fawn Nguyen: (08:59)
Just, it needs to have constraint and contradiction to what the kids think naturally. It should come as a surprise. There’s an element of surprise in it. There’s tension.
Dan Meyer: (09:11)
Maybe if there’s harder numbers or, you know, decimals or fractions in the same kind of procedure…I can feel myself thinking, “Yeah, this is hard. This is problem-solving. Problem-solving equals hard. But we already know what to do.”
Fawn Nguyen: (09:27)
Or just word problems. That’s the most common thing. As soon as it just has words attached to the math, it becomes problem-solving. But that’s just coding it to me. That’s just coding it with words, wrapping it around. It doesn’t mean anything until we read through and see if there’s true problem-solving in it.
Bethany Lockhart Johnson: (09:45)
Like, what’s the moment that it becomes problem-solving? In the way that you envision it?
Fawn Nguyen: (09:53)
Well, I think there’s the bigger problem-solving of really bringing a task…I wanna call it left field. It just—we rarely ever, if ever, see it in the regular coursework, but it can also be problem-solving if we just take what we expect the children to do at the end of the unit, how about we front-load that? To me, that’s also problem-solving. And I’m trying to encourage teachers to do that last problem first. The task writers put more thought—not that they don’t do the rest of it!—but you know, this is a special one, because they label it “challenge,” or “enrichment,” or “are you ready for more?” I’ve seen those. And so it is this really special problem. And I would love for us to think about “do that first.” Because my biggest fear is that because it comes at the end, that not all the children are involved. And so that to me is the saddest part. Because we might not get to it, right? In mathematics, we always think, “OK, well, let’s do these problems and then we don’t have time for the rest.” But I think that’s your richest task right there, is at the very end. So why don’t we front-load it, start it, and it’s OK—of course it’s OK!—that we don’t all get it. But the exposure to all students is so important. Talk about, you know, equity. Talk about that, everybody gets the same thing. If everyone dug into that first one with everybody’s collaboration, and we get to share that, and then we leave it, because “Yeah, OK, now we learn more of the other stuff, right? That hopefully support. And then we can go back. And now everybody had a chance to go get into it, and then we can come back to it as, as many problems, we need to go back to it.”
Bethany Lockhart Johnson: (11:37)
And that feels so powerful. Because it feels like—as a teacher, I’m thinking it would also inform my work, how I approach the unit, and how I approach the next steps. Right? Like, what kind of work would we be doing if I let it, if I allow it, to change the way that I approach the unit.
Dan Meyer: (11:58)
Yeah. What you’re describing is so powerful, and really asks a lot of the task designers as well, I think. There are problem-solving tasks that really require, like, abstract knowledge of the way formulas and variables fit together. And what I love about what Amplify is doing with their problem-solving, what you’re helping them do, is that they start with a true low floor that can draw in every student. And they might get stuck at different places; that’s fine. But everyone has a way in. That’s exciting.
Fawn Nguyen: (12:24)
It’s a big deal for me to have this opportunity and this trust, to integrate problem-solving into the curriculum, make it intentional. It’s difficult to implement. It is, to be honest. Because for me, what is a good task? This makes one of my four criteria: One is, it is non-routine. It is simply stated. Simply stated—that’s like your low floor. And then has multiple solutions. And the fourth: This makes it. Because that the teacher enjoys solving it. And so you have to enjoy solving it to bring it. Because so that way I can say to my kids, “This is my gift.” It really is, Because, you know, it has so much fun and joy. And I appreciate the struggle. And I wanna illustrate an example. For example, let’s say Dan and I are classmates. And I know that Dan gets A’s on his tests and the lowest score he ever got was an 89%. I, on the other hand, just sitting right next to him, I average D. I have a D average on everything. While Bethany, our amazing and wonderful teacher, brings in a problem. And when she brings it in, she says, “I worked on this problem. I found this problem; I worked on it; and I struggled with it. And it was amazing. I enjoyed it so much, I’m sharing it with you.” And all of a sudden it’s like, “OK!” And I”m sitting there, right? My teacher loves this problem so much; she’s bringing it in to share with us. And now, all of a sudden, it’s not, you know…and I know she only gives us non-routine. When she talks about problem-solving, it’s non-routine. So it’s not directly tied to the textbook that I’ve been struggling with. So it gives me a chance, it gives me a chance to contribute. To think differently. And now, suddenly I look forward to working with Dan, because in this space, in this problem-solving space, Dan is no longer Mr. Know-It-All. And so that’s what I mean by—I am saying this a hundred times, and I will not stop saying it—problem-solving levels the playing field. Our world is filled with unsolved problems. Are you kidding me? Right? We look around us, we have so many things that are not solvable, or people are working on it, and yet in mathematics, what happens? The bell rings; we start; and we solve everything during that time, and we leave. And that’s…yeah. No! No! We need to wrestle with problems.
Dan Meyer: (15:04)
And that was our conversation with Fawn Nguyen, which we first released way back in November, 2021. You folks can follow Fawn on Twitter at Fawn P Nguyen. Um, that’s @ F A W N P N G U Y E N.
Bethany Lockhart Johnson: (15:18)
So our episode today is a double feature. We are featuring another conversation that we loved from Season Two. This is a conversation with Christy Hermann Thompson and Kassia Omohundro Wedekind. They’re authors of the book, “Hands Down, Speak Out: Listening and Talking Across Literacy and Math.” And I don’t know if you remember, but not only did we have a conversation with them, but we did a whole book study on Facebook, a Facebook Live book study, over the course of several months. And it was one of my most favorite things. And then they did a webinar at the end. So our conversation with them on the podcast for me felt like such a beautiful dive into their book. And you know, I’ve said it before, you think you have something down in the classroom, you’re like, “Oh, hand-raising, I’ve got that down.” You think you have it down, but then somebody says, “OK, but have you ever considered thiiiis?” You know, and it just—
Dan Meyer: (16:17)
NOT that??
Bethany Lockhart Johnson: (16:18)
, Not that? Something totally different? And I loved talking with them. They’re a lot of fun. And I loved the book.
Dan Meyer: (16:23)
Wonderful conversation, great book. Very provocative ideas. Yeah. As someone who’s like, “OK, classroom management, I gotta get the hand-raising going…”. In the classroom before we talked, they offered a really potent challenge to some really standard classroom management ideas. Yeah. Loved it.
Bethany Lockhart Johnson: (16:40)
And this conversation also offers some really practical tips for facilitating student conversations. So we think you’ll enjoy it. Here’s our conversation with Christy and Kassia.
Bethany Lockhart Johnson: (16:53)
So today we are talking about “Hands Down, Speak Out: Listening and Talking Across Literacy and Math, K—5.” And we have the authors here, Kassia Omohundro Wedekind and Christy Hermann Thompson. Before we begin, let’s define what a hands-down conversation is. A hands-down conversation is just another way to structure discourse in your classroom. So in a typical classroom, you might see students raising their hand and waiting on a teacher to call on them before they share their ideas or engage in discussion. But in a hands-down conversation, it’s students’ ideas and voices that are taking the lead, and teachers are stepping back and focusing on listening and facilitating. Hello! Welcome to the Lounge.
Kassia Omohundro Wedekind: (17:44)
Thank you. We’re excited to be here. We’re fans of Season One. So we’re ready to go.
Dan Meyer: (17:50)
I was a secondary teacher but I still found so much to love about the book. I think facilitating conversations is just generally challenging, and perhaps even more so in math, where answers feel so tightly dialed-in, in lots of ways. But I loved it. I would love for you to just explain to our audience, what is a hands-down conversation and how does that contrast with what might be standard practice for some people? For some classes?
Christy Hermann Thompson: (18:13)
We just started using the term hands-down conversation because we wanted to differentiate the fact that there are different times to have different types of dialogue in the math classroom, in the literacy classroom. And we use this as one of our tools. Right? It’s not that every day, all day long, we’re very against hand-raising and should never see that again. We find that having this as one of our tools will be where we make really clear to the students that this is a moment where we’re turning it over to you to negotiate the space and make the decisions about when your voice comes in and who speaks next. You know, carry on kind of like that dinner table or that playground or, you know, whatever is your natural habitat for talk. And bringing that into the classroom and then hoping that it also someday transfers back out of the classroom back into the real world.
Bethany Lockhart Johnson: (19:09)
For the teachers who feel like that’s terrifying to have students just start speaking, and speaking without any sort of control or my little equity sticks, my little popsicle sticks, or my popcorn, or whatever other thing they’re using, what would you say is the first step?
Christy Hermann Thompson: (19:25)
So I think recognizing and naming that fear is part of it. And then saying to yourself, “What’s the worst that could happen here?” You know, I think the worst that could happen is that nobody talks and it’s totally silent. Or on the other hand, everybody talks at the same time. And both of those things will happen! And so what? It’s gonna be messy. And if you just acknowledge that it’s gonna look messy, and that’s part of growing; that every child as they learn—and every adult—is messy as they grow.
Kassia Omohundro Wedekind: (19:59)
And we have to see what kinds of things will happen in a hands-down conversation. Like there’s no prerequisite. You just start and then you see what happens. And those are the signs that tell you, “What can help this community grow as talkers and listeners? If everyone’s talking at the same time, and they’re kind of pushing each other over with their words by saying, “I have something to add!” “I have something to add!” or something like that, that’s a common thing that sometimes happens at the beginning. Then you know that the next step is to do some work about how to hold your thoughts back, how to add, wait for a space in the conversation to talk. And those are all things we need people to know out in the world.
Bethany Lockhart Johnson: (20:41)
So can you give an example of a micro-lesson that…well, first, what do you define as a micro-lesson? And then, what’s an example of one that maybe somebody who wants to dip their toe into the world of hands-down conversations that they could try?
Christy Hermann Thompson: (20:56)
The reason we call them micro-lessons is because we wanted to differentiate from the term mini lesson, which is out there and tends to describe about 10 or 15 minutes that might take place at the beginning of a work period of time. And this is much smaller than that. We usually follow a pretty predictable structure of naming. Here’s this thing that’s so helpful when we’re having conversations, and we love to especially be able to name something that a student had done: “Kaylee did this yesterday and it really helped us.” So what we might call that is, “And then here’s how Kaylee and other people might do that. They might do something like this.” And, you know, having a little anchor chart, so there’s a visual reminder of that skill. “So when we’re having a conversation today, you could try…”. And that’s basically a micro-lesson, just in a nutshell.
Kassia Omohundro Wedekind: (21:51)
When I was doing these hands-down conversations and I had more space for myself to listen as a teacher, I’m like, “Well, look at those kids, like, slumped onto the ground, like, pulling the carpet apart, but they’re having this amazing conversation!” And so I learned that listening is a lot broader. So in this lesson that I’m thinking about, we just talk with kids about what are lots of different ways that listening can look like. Sometimes with younger kids, I’ll take pictures of them listening in different ways and we’ll notice things about them together. And then we invite them to talk with their Turn and Talk partner about like, “How do you like to be listened to?” Or “Tell me about how you listen.” And just kind of broaden that. And really, I like to think that like the micro-lessons are for the kids, but also I’m saying those things to say them for myself. Like, “Remember, you don’t have to insist that kids are staring each other down in the eyes all the time. Like, “It’s OK when they’re doing other things. There’s other ways of listening.” So I think I’ve learned as much from the micro-lessons each time I do them as the kids that I’m trying to help grow as listeners and talkers, as well.
Dan Meyer: (23:00)
You folks have a lot of really eloquent ideals you express, around democratic classrooms and engagement. But you also have just some very tangible, practical…even down to, like, how a teacher positions their body in space and the way they use their eyes to connect. I think it would be really helpful for teachers to hear that it’s not just they’re signing on to a manifesto of sorts, but there’s ways they can act their way into the beliefs that you both expressed here.
Christy Hermann Thompson: (23:26)
When I’m starting hands-down conversation work, if I put myself a little bit outside of the circle and look down, and give myself a clipboard, it, it helps me bite my tongue and it helps me give better wait time and see what the kids are doing before I have that tendency to jump in and teach and do lots of teacher-y things.
Bethany Lockhart Johnson: (23:48)
Kassia and Christy, thank you so much for joining us. We are so excited to have this conversation and to share your work. This is exciting. And I feel like this conversation is just the beginning of a deeper dive into this book.
Kassia Omohundro Wedekind: (24:01)
Thanks for having us.
Christy Hermann Thompson: (24:02)
Thank you.
Dan Meyer: (24:03)
Thank you both.
Bethany Lockhart Johnson: (24:06)
Thanks so much for listening to our conversations with Fawn Nguyen and Christy Hermann Thompson and Kassia Omohundro Wedekind, both of which were released in 2021, part of our second season. And, you know, we hoped you enjoyed listening to it for a first, second, maybe third, fourth time.
Dan Meyer: (24:24)
Let’s be real. There’s some real fans out there.
Bethany Lockhart Johnson: (24:26)
We loved it then. We love it now!
Dan Meyer: (24:28)
Yep, yep, yep. Please keep in touch with the show by following us on Twitter at MTL Show, and join our Facebook group, the Math Teacher Lounge community. We’d love to hear from you there. And please stay tuned for more info on what we’re cooking up here in the Math Teacher Lounge. Thank you folks for listening. Take care, Bethany.
Bethany Lockhart Johnson: (24:47)
Bye now.
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Meet the guests
Fawn Nguyen
Fawn began her work with Amplify in 2022 as a Math Advance Team Specialist. She was a math coach for a K-8 school district for three years, and a middle school teacher for 30 years before that. Fawn has also received a number of accolades as an educator.
Christy Thompson
Christy Thompson is a Literacy Coach in Fairfax County Public Schools in Virginia. She has spent her teaching and coaching career particularly focused on listening to and learning from the talk of our youngest students.
Kassia Omohundro Wedekind
Kassia Omohundro Wedekind spent many wonderful years as a classroom teacher and math coach in Fairfax County Public Schools in Virginia and now splits her time between being an independent math coach and an editor at Stenhouse Publishers. Her favorite days are spent in classrooms learning from the many ways children talk, listen and negotiate meaning together.


About Math Teacher Lounge: The podcast
Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.
Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!
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Winter Wrap-Up 02: Mathematizing Children’s Literature

While we’re hard at work producing the exciting fifth season of Math Teacher Lounge: The Podcast, we’re continuing to share some of our favorite conversations from our first four seasons. This time around, we’re revisiting our popular episode that connected literacy and math!
In this episode, we sit down with Allison Hintz and Antony Smith, authors of Mathematizing Children’s Literature, to talk about what would happen if we were to approach children’s literature, and life, through a math lens–and how we can apply those same techniques to classroom teaching!
Explore more from Math Teacher Lounge by visiting our main page.
Bethany Lockhart Johnson (00:02):
Hi, I’m Bethany Lockhart Johnson.
Dan Meyer (00:04):
Hi, I’m Dan Meyer.
Bethany Lockhart Johnson (00:05):
And we are so excited for another episode of Math Teacher Lounge. And as you know, podcast format; you’re listening now. I think one beautiful thing about the podcast format is that it gives us a little bit more time to have these rich conversations. And I promise I won’t do it, but I could talk to our guests for hours, hours! Authors Allison Hintz and Tony Smith have just released Mathematizing Children’s Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion. And today we get to talk to the authors. Allison, Tony, welcome. Welcome to the lounge.
Allison Hintz (00:53):
Thank you. We’re so grateful to be here.
Bethany Lockhart Johnson (00:55):
We’re so excited to have you here. And I wanna say that my very first—was it my first math conference? Maybe it was my first math conference—up in Seattle, the CGI conference, and I’m all like, you know, wide-eyed and just like, “Can this be a place for me, this math community?” Re-envisioning my relationship with math and thinking about myself as a math teacher, what? And I went to your session on mathematizing children’s literature, and I was just so fired up. I was so wowed by your ideas, your energy, and your passion for students’ thinking. And I feel like as I read this book, I felt like I was hanging out with you. Like you were just so encouraging all the way through. Of educators, of other folks working with young people, and really guiding us how to listen with joy and with an open curious mind.
Dan Meyer (02:03):
Yeah. I would love to hear a bit about the genesis of this book for you folks. Like, I’m coming at this from a secondary educator lens. I’ve got small kids, so that’s also part of my interest here. But I love any book, any idea that seeks to merge what seems like two disparate worlds. Like it’s often the case that we feel like, well, there’s approaches for ELA and approaches for math, and they’re kind of separate disciplines. And these poor elementary teachers have to learn all of them and be experts at all of them. And here you both come along and say, “Hey, what if they are the same kind of technique?” Can you just speak to how this came about?
Allison Hintz (02:38):
Definitely. Tony, do you wanna take a try? Do you want me to start us off?
Antony Smith (02:42):
I can start. We oftentimes present and talk together and so we kinda switch back and forth. So that’s just how we are. So probably about eight or nine years ago, Allison and I, our offices were next to each other on our small campus. We’re both professors and we just happened to have a few children’s books that we looked at together and we were just thumbing through the pages. We really liked children’s literature. And we noticed that I would stop at certain points wondering about character motive or plot or sequence of events or language use. And Allison would stop at very different points in the book and notice number and concepts or something about mathematics. And that’s when we started to wonder, what would it be like if we were sharing a children’s book with a group of children and we put our ideas together? Where would we stop? What would we talk about? What would we ask children about in terms of their thinking and what they notice?
Allison Hintz (03:42):
And so we started playing with these questions that we had and started approaching stories with multiple lenses to see what kinds of things would children notice and what kinds of things might they say. And we were also on our own journey in trying to understand how to plan for and facilitate lively discussions and classrooms that surface really complex mathematics. And it felt like stories were a place where that might be a fruitful context for hearing children’s thinking. We’ve worked with a lot of teachers and students in our region. We live in the Seattle area and we’ve applied for some funding over time that’s really helped us be in a lot of community-based organizations and educational contexts and libraries and pediatricians’ offices and classrooms, various classrooms, and see what’s interesting about this and what might teachers and children do with stories that would surface complex mathematics to think about together.
Antony Smith (04:41):
Over time, we came to the realization that if we wanted to hear children’s ideas, we had to stop bombarding them with questions. <laugh> Yeah. And at first it made it worse that we were asking them math and literacy questions at the same time. And so we realized that what we needed to do was to back off and to ask children what they noticed and wondered.
Bethany Lockhart Johnson (05:01):
Can you say more about that and how that kind of evolved into mathematizing children’s literature?
Antony Smith (05:07):
We did work with a number of very thoughtful, talented classroom teachers and children’s librarians in public library systems who were just so masterful at asking open-ended prompts and questions, rather than kind of like the de facto reading quiz, that a read-aloud can become, which I’ve always disliked as a literacy educator. And we realized in our observing these read-alouds or interactive read-alouds or shared reading experiences that given the opportunity in the space and an adult who was actually listening, that children came up with all of the ideas we would have asked them about and more. So we didn’t have to be bombarding them with questions. They were already much more thoughtful than what would’ve been sufficient to answer our questions.
Allison Hintz (05:58):
And much like mathematics, it was really an iterative process. You know, we had some clunky read-aloud discussions where we were trying to accomplish so much and toggling multiple chart papers and different colored pens and all sorts of “how do we capture these ideas” and “do we separate ’em? do we keep ’em together?” And so it’s really been over time that with partners, we’ve learned these ways of having multiple reads of the same story that allow us to hear what children notice and wonder, and then to delve more deeply into their questions and their ideas through multiple reads where we might spotlight literary ideas that they notice; we might spotlight mathematical ideas that they notice. We might make purposeful integrations between those. But we found it to be most productive—and Kristin Gray really help us think about this—to have an open Notice and Wonder, get everything out much like an open-strategy share. We welcome here, record all the ideas, and it goes all over everywhere. You know, it can be a really not math-y noticing! And those are amazing! So there’s a lot of, um, yes, there is a ladybug on this page! The grandma is wearing green triangle earrings! Oh, your grandma wears green earrings! I mean, it all comes out.
Bethany Lockhart Johnson (07:27):
Wait, have you been in my classroom? ‘Cause that’s exactly— <laugh>
Allison Hintz (07:29):
<laugh> And then, you know, we think of it a lot like if math teachers might use the 5 Practices for selecting and sequencing, or if you might move from an open-strategy share to a targeted share, how can we get out all the questions that children are asking and then step back from them, take some time to really think about what they’re telling us they’re curious about, and plan some purposeful, intentional subsequent discussions that can delve more deeply into their ideas.
Dan Meyer (08:02):
I’d love to go into that a little bit more if that’s all right. Um, I’m gonna speak from someone who doesn’t have an elementary background and I’m gonna voice some worries that I had, some anxiety. One anxiety I have like in a classroom or a curriculum is when there’s no room for student ideas. Right? When it’s like, oh, there’s just room for the curriculum author or the teacher here. That is a sadness. But I when I see an instructional environment like you’re describing here, where there is openness to all kinds of different student ideas, of different levels of formality, from different kinds of cultural fonts of knowledge or wherever, I also get a little bit nervous because that, like, increases the risk that a student might come to understand that “my ideas are not good enough,” whereas in the class with no room for their ideas from their home or their language or their hobbies, like, they’re not gonna internalize the message that, “that wasn’t good enough.” And so I’m really curious as you move from the open Notice and Wonder where kids share all of themselves with you, and then you move to a targeted focus on some sort of disciplinary objective, how do you navigate that tension and help students feel like their contributions are valuable, even though we aren’t taking them up per se?
Allison Hintz (09:18):
That’s such an important question. I mean, I think we’ve grappled with this broadly in math education. I think any time we’re thinking about which ideas we choose to take up to pursue to consider, we have a responsibility to think carefully about whose ideas are being taken up and heard and considered. And so one of the tensions I hear you naming, I think, Dan, is when we engage in lively discussion where children’s thinking’s at the center, how do we make sure to upend and interrupt kinda status norms that run the risk of being deepened? Um, and I think by paying attention to whose ideas are taken up as much as which ideas are taken up, and what’s the mathematics we wanna explore is one tension. Um, another tension I might hear you naming is, you know, the complications that teachers face with time and pressure and coverage, and which mathematics ends up getting worked on. And, um, you know, it’s something we’ve really had to struggle with in mathematics education, where we move to more discussion-oriented classrooms that are really centered in sense-making to know that it takes a lot of time to do this thoughtful, thoughtful work. Um, does that begin to get at some of the tensions you’re raising? Is there, is there more you’re thinking about?
Dan Meyer (10:53):
I think it’s really helpful that you kind of broadened the scope of the question beyond your book to “this is an issue that we are, you know, really challenged by and focused on broadly in math education.” And, um, I appreciate you bringing the element in of whose idea—not just which idea is taken up, but whose idea is taken up—is an opportunity where, let’s say, multiple people raise an idea that is towards an objective the teacher has, they have the opportunity to disrupt certain kinds of status, like ideas about status, in that moment. From your perspective, like, are there techniques to say, I don’t know, parking-lot certain kinds of questions and say like, “Hey, like these are awesome”? I don’t know. I just know that I see kids at like ninth grade. They are very reticent, often. They’ve internalized totally this sense of like, “I’m not gonna just, like, share about the pants the grandma’s wearing, you know; that will not be received well.” And so I’m just kinda wondering how that happens and like, what are the ways we can disrupt that? That process?
Antony Smith (11:54):
So thinking about that, Dan, from the teacher’s perspective, in those kinds of scenarios where you wanna honor each child’s contribution, a couple of things that come to mind: One is that by, you know, initially by modeling what I as a teacher, something that I notice or wonder about, helps kind of set the expectation for what kind of response would be encouraged. And it’s broad, but it gives an example. And then also we really try to record or to chart all of the ideas that are shared so that we can revisit and honor those together. And then either later or on another day, if we choose one or two of those to explore in some way within a more focused read, then another thing that we do is have the idea investigation afterward that continues that thought, but goes back to being as open-ended as possible, so that those students or children who maybe didn’t have their idea as the one that was focused on by the group could go back to that or explore some other idea of their own, so that the idea investigation isn’t a lockstep extension activity, which is why we don’t call it that. So they could again bring in their own perspective. But I have to say from the teacher’s point of view, there is that moment of potential panic <laugh> because there is that power transfer when you’re asking children to help steer where this is going. And if you really mean it, you have to let them steer a little bit. And that can be terrifying. And, um, I always think of one teacher, Ashley, we worked with who read an adorable book, Stack the Cats, by Susie Ghahremani. And in that book, there’s a point where there are eight cats and they’re kind of trying to be a tower of cats and they fall and they’re sort of in the air on that page. And she asked her first graders—she stopped, and she asked, “How, do you think, how will the cats land?” And for about a minute and a half, the entire <laugh> class, was silent. They had their little papers; they had chart paper; they had clipboards; they had everything they needed. But that unusual phenomenon of a group of six- and seven-year-olds actually just sitting and thinking and not being peppered with activities was really stressful, but amazing. And then, after about the 90 seconds, they started out into their exploration of how the eight cats might land. They just needed a minute to think. And it’s so rare that we’re able to let children have that.
Allison Hintz (14:40):
In that same moment, Ashley, who’s a learning partner to us, she turned to us kind of quietly, like, “Should I pose a different question?” And <laugh>, we’re like, “No, let’s stick with it. Let’s see what happens.” So I think it creates this space too, this thinking culture, right? And this culture of “what does that mean to really pose a rich task?That’s open-ended, where there’s multiple access points?” Those eight cats could land in so many different ways. And there was broad access, there was a wide range of all the cats landing, and one’s on their feet, ’cause cats always land on their feet <laugh>, and there was every combination. And so, um, I think what’s really interesting—and to me, this brings back to your wonder, Dan—is, you know, “What’s the risk in openness?” And there’s always risk in openness. Um, it’s scary as a teacher, right? If I’m not the authority of knowledge and I don’t have control over where we’re gonna go, it might get into places that I didn’t anticipate. Or I don’t really feel as solid in the math as I want to. Or I don’t know what it sounds like to stick with silence and wait time, to know if my students are really in productive struggle or if that question was a flop. And so, um, I think this is some practice space for young mathematicians and teachers of mathematics, and just teachers, to explore with that openness and kind of the risk of the openness required for complex thinking to emerge.
Bethany Lockhart Johnson (16:12):
You know, it feels like the way you’re both describing this, it really is a culture shift, right? I kept feeling like I was given permission to be a beginner as I read this book. Like I was really…I loved how you said, I believe it was you, Allison, when you were in the class, you had a couple index card that you kept on your clipboard and that as you walked around, you were like, “Hey, if I don’t know what to ask, I ask one of these questions.” You know? And just this idea that, that, like Dan was saying, there is that loss of control, but that’s also a way to create this culture where students ideas are valued and we are allowing students to really generate the questions, which I thought was such an important idea to explore.
Allison Hintz (17:00):
We started this work long ago, super-excited about math-y books. And we saw a lot of potential in them and we still do. But the limitation we saw is that math-y books, they, they put forth a certain mathematics to be curious about. In some ways they tell you what mathematics to think about. So we started asking ourselves what would happen if we considered any story a chance to engage as mathematical sense-makers. And we started playing with non-math-y books and we got to a place where we could consider every story an opportunity to engage in mathematical thinking. And so we started noticing things over times, oh, these books tend to be really math-y. We call those text-dependent. We’d have to pay attention to the mathematics to understand the story. Whereas this pile of stories, these, they’re not overtly math-y. You could really enjoy the story and not pay attention to mathematics and have an amazing conversation. But what would happen if we thought of about this story as mathematical sense-makers and how might it deepen our understanding of the story? And then this other teetering pile of books, these are books where, you know, children didn’t tend to engage as overtly as mathematicians in it, but there’s opportunities in this story to go back to something—to a moment, to an illustration, to a comment—and think as mathematicians. And those were more about illustration exploring. And so, as we notice these different kinds of books, we really broaden what we thought about. And I think one of the things we really wanna think about in community through this book is what happens if we approach any story, every story, as mathematical sense-makers, because stories are alive in children’s lives, in homes and communities and in schools. And it’s a broad opportunity that we wanna take up. I was thinking, as I stay in this strait for just a moment about book selection, before we move into that process, um, Bethany in a previous MTL, you talked about representation.
Bethany Lockhart Johnson (19:12):
Mm, yeah.
Allison Hintz (19:14):
And do you remember when you shared the image of hair braiding?
Bethany Lockhart Johnson (19:19):
Yes. Vividly, yes. <laugh>.
Allison Hintz (19:22):
Yeah. And can you say just what that meant to you? What that….
Bethany Lockhart Johnson (19:27):
Yeah. Well, it was from a conference; Sunil Singh had used it and was talking about the artistry in mathematics and beauty in hair braiding. And, um, particularly, he was showing this particular image of this Black woman with her hair braided in profile and looking at the angles and the symmetry. And I shared that, you know, I spent so many hours in the beauty shop with my aunties and my mom and my grandma and continue to, to this day, that it just, it struck me immediately as familiar. And it struck me immediately as seeing an image that was reflective of my lived reality, projected as valuable and worthwhile for consideration in the world of mathematics. Which is not what I felt as a student of mathematics as a young adult or child. So it was this beautiful moment of, for me, the power of when we see images and we allow opportunities for re-envisioning what may be a common practice for that student, or may be something that they see every day.
Allison Hintz (20:44):
And in that same way, that image that was put up, we wanna think really carefully about representation in the stories that we select. And when we think of stories as mirrors or windows, we really wanna be mindful in story selection of whose stories are told and whose stories are heard. And when you said that you would sit down to listen to a story and you felt at ease or that you saw an image and you saw yourself that can be and should be something we really think carefully about when we select the stories that we select.
Dan Meyer (21:21):
It’s a wider path for representation of different kinds of people in literature, because people’s stories seem so much more present and towards the surface of their lives, versus, say, the abstractions and numbers and shapes in mathematics. It feels like more of a struggle to find ways to show people, hey, like you’re here, this, this place belongs to you. So in all these reasons, I think it’s really great you folks are using literature, which has this history of humanities, literally humanities, as a vehicle for mathematics. That seems pretty special here.
Antony Smith (21:56):
We both go to libraries and bookstores and look through books as often as we can, but also our partner, a children’s librarian, Mie-Mie Wu, helped us go through—when we would meet, she would bring three or four hundred books at a time.
Bethany Lockhart Johnson (22:13):
When you described her wheeling in the cart, oh, I wish I been in that room! <Laugh>
Antony Smith (22:18):
And the cart was, you know, probably three or four times bigger than she was sometimes. And we would go through hundreds of books and look at them and listen to her thoughts as a skilled librarian sharing with families, diverse families, and what catches the attention of a three-year-old sitting with her grandfather. And that was really a valuable, helpful experience. And it’s a partnership that continues. So in Last Stop on Market Street—and this is in the book; we talk about this, this children’s book quite a bit—in this story, CJ with his Nana, his grandmother, are riding the bus to the last stop on Market Street in San Francisco, to go, as we will find out, to help serve in a soup kitchen to help the community. And the teacher, Susan Hadreas, had the children record their ideas. She charted them in an open Notice and Wonder read. And one of the ideas that a young boy noticed was that CJ on the bus…a man with a guitar starts playing the guitar on the bus and CJ closes his eyes and it says CJ’s chest grew full. And he was lost in the sound and the sound gave him the feeling of magic. So this boy said, “I wonder, what does that feel like if you’re feeling the magic? What’s that?” And that was one of many ideas in the open Notice and Wonder, and Allison will talk about the math lens read, but first Susan went back and read with them. She had that idea, she circled it on the chart paper, and another day that week, she said, let’s go back and visit this story we really liked. And remember, we wondered what feeling the magic was like. Let’s go back through and let’s keep track of all the feelings and emotions that CJ had across the journey to the soup kitchen in this book. And so they did another read of the story; they were very familiar with it, of course, but they noticed new things and they also, every few pages, stopped and she helped chart all of the emotions that CJ experienced from envy to excitement to sadness. There’s a huge range in this book. And it was fascinating.
Allison Hintz (24:36):
I think one of the things that the children noticed was that CJ’s feelings were shaped by community. And that he shaped and shaped…he was shaped by and helped shape his community. And so the ways that he felt across the story were impacted by the other characters that he comes across. The guitar man on the bus. The bus driver who can pull a coin out from behind someone’s ear. The lady with the butterflies in the jar. Nana helping him to see the rainbow. And the students started, you know, being curious about that. How do we shape and how are we shaped by community? What communities are we a part of? This class is one community. I’m in many communities across my life. And they started to quantify the number of people in the story. So Mrs. Hedreas went back for a math lens read, and she said, let’s just keep track of and pay attention to how many people are in CJ’s life in this day. Because I can hear you starting to think about quantity. This class at the same time in other areas of the day had been working on counting collections, how to keep track, so they got out their tools. Some people pulled out ten frames, some people pulled out clipboards. They had a wide range of things they could use to help them keep track. They developed their own strategy, keep track however you want. She did a quicker read through it, flipping the pages, and then they get into these debates: <laugh> “We already counted that person!” “But they took their hat off and put it down to collect money!
Antony Smith (26:10):
“What about the dog?”
Allison Hintz (26:11):
“That’s the same person!” “Yeah, there’s a dog pound in his community!” <laugh> “Do animals count in our community?”
Bethany Lockhart Johnson (26:17):
I love it!
Allison Hintz (26:17):
“Yes, they count!” Uh, and so we went through and quantified and there was really this understanding as you saw these people throughout the story that communities can be of different sizes, but community has impact. And you have responsibility in your community to show up and to lean in and to know that bringing your full, authentic, vulnerable self, you shape people and they shape you. And what communities are people a part of. And it turned into this really interesting discussion about quantity and helped us think more about quantity and community. I think a really important moment for us and for that class was the transition from being people who almost did mathematics to a story, like counted things on a page, um, count acorns on a page in an autumn book, to being mathematicians who thought within the story.
Antony Smith (27:17):
And then two idea investigations that came from that —not at the same time, of course, but with the same group of children—one was they identified an emotion of their own and wrote and drew about that. And also, who helped them address or get out of or acknowledge that emotion. And then the other idea investigation was that all of the children drew or kind of mapped out a community that they were part of. Whether it was their neighborhood or their classroom or their soccer team or whatever it was. And so then those investigations strengthened the connections of those concepts to the lives of those children.
Bethany Lockhart Johnson (28:05):
Well, I, actually wanted to ask you about idea investigations. Because I feel like that was such an important invitation in your book. And the way I understood the idea investigation is you’re really paying attention to what’s coming up in your other reads. Right? And then these are opportunities to extend the thinking, or like you said, to extend a particular aspect: What’s your community? Can we map your community? Or what’s a particular emotion? And it was in such contrast to what I think I have probably done in my classroom more than once, which was like, “Oh, we read this story about seals. So now my story problem is gonna be about seals, right? <laugh> Like in the story, you know, Jojo, the seal had five balls. <laugh> So if Jojo still had five balls and two of them bounced away…” You know, or whatever. Right? But that’s not what an idea investigation is. Right?
Allison Hintz (29:03):
Yeah. I think this is where we also had some stumbles and can totally relate to what you’re saying as previous classroom teachers as well. We have come to a place where we are pretty in favor of a super open-ended idea investigation that takes up the things that have surfaced in the multiple reads and making sure it’s a rich task with many, many ways children can engage with that. There’s many, many, many right answers or ways to engage. Less is more there. So we moved way away from, like, even a worksheet that might have an idea from it to blank paper and math tools and places to get into some productive struggle around some of the complex things that were raised.
Antony Smith (29:59):
A challenge with worksheets is that they put a frame around children’s ideas. So either there are only three lines to write on, or there’s only a small box to draw in. Whereas a blank page really opens up the possibility. Um, and so—is it Ann Jonas who wrote Splash!? sorry, I don’t have it in front of me—the book Splash!, about animals that end up in and out of the pond, including a cat that is not happy about ending up in the pond, an idea investigation after that for very young children was, with the list of the different creatures displayed at the front of the room: On blank paper, hey, draw your own pond and decide how many of which and each type of animal you want in your pond and then write about it. Just on blank paper. And so that allowed some children to draw, like, three giant goldfish. But other children drew 17 frogs and three cats. And, and just, it lets children follow—
Bethany Lockhart Johnson (31:02):
It was theirs, right? It was theirs.
Antony Smith (31:04):
Their idea. <laugh> And that comes partly from, I think, as Allison mentioned, we both were classroom teachers before moving into academia. And I remember giving children worksheets, particularly math worksheets, where they weren’t necessarily bad, but right at the bottom, it says like, explain your strategy. And it gives two lines.
Bethany Lockhart Johnson (31:23):
Right! <laugh>
Antony Smith (31:25):
The only thing a seven-year-old can write there is “I thought.” Or “I solved it.” <laugh> And that’s not where we need to go.
Dan Meyer (31:34):
Yeah. If I could just ask the indulgence of the primary crowd here, like, I’m trying to make sense of all this. And I just wanna like, offer my perspective. My summary statement of what’s going on here. I’m trying to—I love how you both came here—
Bethany Lockhart Johnson (31:45):
<laughs> How ya doin’, Dan? How ya doin’?
Dan Meyer (31:47):
<laughs> I’m, ah, A, I’m loving this a lot. Um, B, I came in here loving how you folks are broadening the work of primary education to kind of find commonalities between these sometimes seemingly disparate kinds of teaching in ELA and math. Love that, I wanna say. But I think you folks are describing, with all these teachers you observed and your own work, is the work of attaching meaning to what students might not realize yet has meaning. Or they might think it only has one kind of meaning. But you, the teacher, with their knowledge, realizes that there are many more dimensions of meaning that can be attached to those thoughts. And I’m hearing that from you folks, when you describe A, what math is and the power of a teacher to name a thing as mathematical. Like, “Oh, you didn’t think math was that, but math is noticing; math is wondering; math is asking questions,” for one. But also this work you’re describing of how, like, first the task has to invite lots of student thoughts and then to say like, “Oh, I see that there’s a similarity to these two.” And to raise those up for a conversation or to ask a question like to extend one person’s, one student’s question a little bit more. But it’s always…I’m just hearing you folks attaching more meaning than the student might have originally thought. I appreciate the conversation. That’s really interesting.
Bethany Lockhart Johnson (33:03):
Well, and now that the book is out, I think it’s gonna keep evolving, right? Now that it’s gonna be in the hands of teachers and librarians and educators and caregivers, it’s exciting to see kind of where it goes next. Which actually brings us to our MTL challenge. Dan Meyer, do you wanna share?
Dan Meyer (33:22):
Math Teacher Lounge, we have a challenge for the folks who listen and we’d love for them to hop into the Facebook group Math Teacher Lounge, or hit us up on Twitter at @MTLShow and just, like, kind of exercise beyond listening, exercise the ideas you folks are talking about, some kind of a challenge that can help us dive deeper into your ideas. So what would you folks suggest for our crowd, for our listeners?
Allison Hintz (33:42):
I would love to invite people to playfully experiment with a favorite story, with a story that’s new to you. I would love to invite listeners to sit with a story maybe on your own, and just ask yourself as a mathematician: What do you notice and wonder in this story? Don’t feel any pressure. Maybe sit with a child or some children and listen to what they notice and wonder. Like, really listen! Don’t ask questions! But hear their questions and place children at the center and consider multiple reads. Consider continuing to pursue their questions. And we have a planning template that might support people in kind of sketching out some ideas if you’re open to playing with that too.
Bethany Lockhart Johnson (34:34):
And we will post—
Dan Meyer (34:36):
That’s awesome.
Bethany Lockhart Johnson (34:36):
—a link for that planning template in our Facebook group and on Twitter as well. So thank you so much for that resource, because I think it’ll definitely help. It could help you, like you said, it could help you kind of organize your thoughts or help you think about this work in a new way. So thank you for that resource and thank you for the amazing resource that is Mathematizing Children’s Literature. I am so excited to continue to engage with you both and with listeners as they dive into this book. If folks want to engage with you more, where can they find you? How can they reach you?
Allison Hintz (35:12):
Well, we’re on Twitter.
Bethany Lockhart Johnson (35:14):
Great.
Dan Meyer (35:15):
What’s your home address? <laugh>
Bethany Lockhart Johnson (35:24):
Wait, let me try that again. <laugh> ‘Cause it does sound like I’m like, <fake ominous voice> “Where can they find you?”
Allison Hintz (35:29):
4-2-5…. <laughs>
Antony Smith (35:32):
At the bookstore!
Bethany Lockhart Johnson (35:34):
Y’all, if folks want to continue this conversation or share these ideas or the math challenge, how can they tag you? How can they, they reach you on the World Wide Web, besides the Math Teacher Lounge Facebook group?
Antony Smith (35:50):
Yeah. Well, we are both on Twitter, and we’ve been trying to promote the hashtag #MathematizingChildrensLiterature. It’s very long, but once you type it once, your phone or computer…
Bethany Lockhart Johnson (36:01):
Easy. Yeah, those click, right? Is that what it is now?
Antony Smith (36:03):
<laugh> The other is that we do for our project, we have an Instagram account that is @MathematizeChildren’sLiterature.
Allison Hintz (36:11):
We care really deeply about hearing from people. You know, we think our ideas are constantly evolving and that there’s such exciting room to grow. And we just felt compelled to share what we were learning now so that together we could learn and build vibrant experiences for young children and teachers and families through stories. So we want to hear from people! We wanna learn about stories that are important in your lives and what children say, and grow these ideas together.
Bethany Lockhart Johnson (36:42):
And credit to Dan, you told me you went and ordered a bunch of the books they have on the suggested read list.
Dan Meyer (36:48):
Oh my gosh.
Bethany Lockhart Johnson (36:49):
You read ’em to your son.
Dan Meyer (36:50):
I got such a side-eye from my significant others around here for what I dropped on Amazon in one night! <laugh> Uh, all these books I didn’t have. Some of them I did. We are not fully illiterate around here! We do love the written word at the Meyer household! But there were a bunch that that I grabbed. I’m morseling them out day by day.
Bethany Lockhart Johnson (37:09):
Wait, at bedtime I read my one-year-old One Is a Snail, Ten Is a Crab. <laugh> And let me tell you, he had vigorous pointing and “Da? Da da da da?”
Allison Hintz (37:22):
<laugh> Aww, da da!
Bethany Lockhart Johnson (37:22):
So hey, we’re on the road. <laugh> <music> Deeply grateful, not only for your work and your beautiful book and your work, but also for the invitation to dive into the world of children’s literature in a way that many of us have not before. And it’s fun! Thank you, Tony. And thank you, Allison. And thanks for hanging out in the lounge.
Allison Hintz (37:48):
Thanks for having the lounge!
Antony Smith (37:49):
It’s been fun!
Allison Hintz (37:52):
Thank you both.
Stay connected!
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We’ll also share new and exciting free resources for your classroom every month.
Meet the guest
Allison B. Hintz: Dr. Hintz’s research and teaching are in the area of mathematics education. Her focus on mathematics came about during her years as a fifth grade teacher – it was alongside her students that she developed her own positive identity as a mathematician! Today she studies teaching and learning, specifically facilitating engaging discussion. Her research and teaching happen in partnership with educators and children in formal and informal settings and focuses on beliefs and practices that support all children in lively mathematics learning. She is a co-author, with Elham Kazemi, of Intentional Talk: How to Structure and Lead Productive Mathematical Discussions.
Twitter: @allisonhintz124
Antony T. Smith: Antony T. Smith is an associate professor of literacy education at the University of Washington, Bothell. He works alongside teachers to create engaging literacy-mathematics learning experiences through exploring and discussing children’s literature. He is committed to the concepts of motivation, engagement, challenge, and creativity in literacy teaching and learning.
Twitter: @smithant Instagram: mathematizechildrensliterature


About Math Teacher Lounge: The podcast
Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.
Join the Math Teacher Lounge Facebook group to continue the conversation, view exclusive content, interact with fellow educators, participate in giveaways, and more!
You might also like:
Math Teacher Lounge episode: Howie Hua on making math viral

K—12 math instruction has come a long way from having students memorize times tables. Thanks to innovative instructors like Howie Hua, it’s gone all the way to TikTok. And it’s gone viral.
Bethany Lockhart Johnson and Dan Meyer recently talked to Howie Hua on Math Teacher Lounge—now a podcast!
Meet Howie Hua
Howie Hua is a lecturer at Fresno State. He teaches math to future elementary math teachers. That’s a good thing, because he doesn’t just make math “come alive.” He makes it go viral.
He has more than 32,000 followers on TikTok (@howie_hua), where his brief, punchy math explainer videos have garnered nearly 500,000 likes.
That’s why Bethany Lockhart Johnson was so excited to talk to him on the podcast, she says. “He is inviting us to think about how we ask questions in mathematics in ways that get people buzzing. His ideas and thoughts have gone viral and people are in conversation in a way that we long for them to be, out in the streets shouting about mathematics.”
(Fun fact: Hua can also throw a rifle 15 feet in the air, do a back flip, and catch it. Don’t believe us? Check out his TikTok.)
Questions are as important as answers
“I think people don’t want to watch a 20-minute YouTube video on something math-related. Maybe they just want a short one-minute explainer,” says Hua.
Even in one minute, Hua shines new light on math functions and concepts—and more.
“People want to understand what’s actually happening,” says Hua. “For example, I got so many nice comments when I explained the long division algorithm. I said, ‘Let’s visualize it.’ It’s not just connecting the permutation and the combination formulas. People want to know what’s happening rather than just ‘Use this formula to get an answer.’”
Dan Meyer shares a couple of Hua’s most popular TikToks:
- Test Talk: Reduce test anxiety by having students talk in a group about a test for five minutes before putting pencil to paper.
- How do you calculate … ? In his Mental Math Mondays series, Hua asks viewers to tell him exactly how they solve a given arithmetic problem. “One of my favorite hobbies is to listen to how people think about math,” says Hua. “So if you want to make my day, comment or stitch this video with how you would calculate 17 plus 18 in your head.”
Hua says that to ask “Hey, how would you think about this?” does more than give him insight. Asking questions helps build community, and shows people that there are many ways to arrive at an answer.
Says Hua: “It really goes to show that math is a creative subject. ‘Hey, can we find another way? What’s another way that we can do this?’ I tell my students, the beauty is in us, not the final answer.”
Join the challenge
Here’s Hua’s Math Teacher Lounge challenge for this episode:
- Walk around and find something that you can count, take a picture, and then ask around: “Hey, how would you count these?” See if their way is the same as yours—or if it blows your mind.
- Share your pictures and thoughts by tagging us (@MTLShow) and Howie (@Howie_Hua) on Twitter, and sharing them in the Math Teacher Lounge Facebook group as well.
Bonus: Did you do the daily Wordle before you read this post? You might have learned something about teaching math—listen to the podcast to find out why (and to hear why on earth Dan Meyer would start his guesses with “PYGMY”)
The Math Teacher Lounge podcast is available on all major streaming platforms and on mathteacherlounge.com. Math Teacher Lounge is presented by Amplify and Desmos. Visit Amplify’s website to find out more about Amplify Math.
Embracing artificial intelligence in the math classroom

Artificial intelligence seems to be everywhere these days. We use it when we ask Alexa or Siri for the morning weather report. We use it when GPS tells us how to best avoid traffic. We use it when we chill at the end of the day with a recommendation from Netflix.
But what about during the day—and specifically, at school? Even more specifically, can AI be leveraged to enhance the math classroom?
“While AI is an amazing tool, you’ve really got to make sure that you are focusing in on your expertise as well,” says veteran math educator and STEM instructional coach Kristen Moore, “And saying, ‘How can I use this to make something better?’ and not just, ‘How can I use this to make something?’”
In this post, we’ll talk about the current state of AI in math education, and how it can support educators in making math better. (SPOILER: It’s not going to replace you!)
First, some STEM learning for us: What is artificial intelligence?
Artificial intelligence, or AI, refers to the development of computer systems able to perform tasks that typically require human intelligence.
It involves creating algorithms and systems that enable computers to learn from data, adapt to new situations, and make decisions or predictions.
AI aims to mimic human cognitive functions such as understanding language, recognizing patterns, solving problems, and making decisions. It encompasses a range of techniques and technologies, including machine learning, neural networks, natural language processing, and robotics.
The term “artificial intelligence” was introduced in 1956. The availability of vast amounts of data and advancements in computer power in the 2010s led to additional breakthroughs. And with the proliferation of smartphones, smart devices, and the internet, AI technologies began to work their way into our homes, cars, pockets, and everyday lives.
What’s the state of AI in education?
AI is already commonplace in schools and classrooms. Here are just a few examples:
- Adaptive learning: This software uses AI algorithms to adjust the difficulty and content of lessons based on a student’s performance, helping students remain engaged and challenged at their optimal level.
- Assistive technologies: AI helps students with disabilities by providing assistive technologies like text-to-speech and speech-to-text tools, making educational content more accessible.
- Plagiarism detection: These tools use AI algorithms to identify instances of copied or unoriginal content in students’ assignments, essays, and projects.
- Data analysis for teachers: AI analyzes data from student assessments to identify trends and insights, helping teachers make informed decisions about instructional strategies. It can also predict students’ performance trends, helping teachers identify at-risk students early and intervene to provide additional support.
- Grammar, spelling, and style checkers: AI can provide real-time feedback to students (and teachers!) on their writing work.
Embracing AI technology in your math classroom
While AI is not here to replace teachers, it is here to stay. And experts say it’s only going to become more commonplace. But despite how common AI is already—both outside and inside school—not all teachers are familiar with its numerous applications and potential. Now is a great time for educators to start exploring its uses and get ahead of the curve.
Here are a few easy entry points for math teachers.
ChatGPT: A common AI tool, ChatGPT is designed to understand and generate human-like text based on the input it receives. It’s trained on a wide range of internet text, which enables it to generate responses to a vast array of prompts and questions.
Most students have likely experimented with ChatGPT, while teachers—though aware of it—are less likely to use it. ChatGPT has highly practical applications for both groups, though—including in the math (and science) classroom.
It can, for example, help teachers plan interesting, relevant math lessons for their students. Kristen Moore, who discusses this topic on Math Teacher Lounge, suggests that math teachers use ChatGPT to:
- Connect topics to student interests and vice-versa. (Teachers can ask ChatGPT for real-life applications of polynomials and select those that might pique student interest, or ask about math applications derived from students’ hobbies and pursuits.)
- Generate word problems (including step-by-step solutions), lessons, projects and rubrics, and more.
Toward the (near) future
As AI advances, it will continue to revolutionize education. Here are a few time-saving ways that educators can look forward to using it in their classrooms.
- AI tutors: AI-powered virtual tutors will help math students with homework questions and provide explanations for various concepts. These tutors can be available at home 24/7, allowing students to seek an AI homework helper whenever they need it.
- Automatic graders: Some AI tools can automatically grade math work, including multiple-choice and short-answer assignments. These tutors can be available at home 24/7 in any household with internet access, allowing students to seek more personalized instruction.
- Personalized learning paths: These AI-powered platforms will work particularly well for math students by adapting to each student’s skill level and pace, offering tailored exercises and challenges that cater to their strengths and identify areas of improvement. They will analyze students’ performance and adjust the difficulty of content, ensuring that students get targeted support and opportunities to progress.
More to explore
To dive deeper into AI in math education—and get rolling with AI in your classroom—check out this two-episode mini-series on our Math Teacher Lounge podcast focused on just that:
- Season 5, Episode 7: Discerning the role of AI in education with former teacher, current education technology entrepreneur, and general partner at Reach Capital Jennifer Carolan, who has a lot to share about how AI can partner with educators to foster social learning opportunities.
- Season 5, Episode 8: Utilizing AI as a teaching tool with educator Kristen Moore, who discusses how she uses ChatGPT to revolutionize student learning and streamline lesson planning.
“I’m a believer that learning is inherently social,” says Carolan, who is quick to emphasize how technology can enhance that quality, not replace it. The same can be said for the role teachers play in the classroom—a role technology can support, but never take away. To learn more about this topic (and discuss it with your fellow educators!), head to our Math Teacher Lounge community!
S1-04: Connecting with students and caregivers in the science classroom: Ryan Rudkin

In this special episode, our host Eric Cross sits down with veteran middle school teacher Ryan Rudkin. Ryan shares her expertise after almost two decades in the classroom, discussing ways to incorporate aspects of problem-based learning into the K–8 science classroom. Eric and Ryan talk about how to increase parent engagement, involve community members, and add excitement to lessons.
Explore more from Science Connections by visiting our main page.
Ryan Renee Rudkin (00:00):
I know there’s other goals in mind, you know, standards and test scores. But at the end of the day, I wanna come back and I want them to come back.
Eric Cross (00:35):
My name’s Eric Cross, host of our science podcast, and I am with Ryan Rudkin, middle-school teacher out here in California just to the north up near Sacramento? El Dorado Hills?
Ryan Renee Rudkin (00:46):
Yeah. 20 miles east of Sacramento.
Eric Cross (00:49):
Nice. And I am down here in San Diego. And so Ryan, to start off, what I wanna do is ask you about your origin story, like a superhero. So how did you become a middle-school science teacher to become part of this elite profession of science folks that get to do awesome things with kids?
Ryan Renee Rudkin (01:08):
I would agree with you that it is definitely an elite profession. I got my credential and I thought I was gonna teach third or fourth grade elementary school. And the second day I got called for a sub job for middle school. And I just thought, “We’ll take it,” you know? And by second period, I knew: This is where I belong. The kids, middle school, students are just a species of their own. And you have to appreciate them. And if you do appreciate them, then you’re in the right spot. And I quickly looked at my coursework and I was able to get authorizations in science, history, and English, and I love science. So I chose science. And the rest is history. It’s been a wild ride and I wouldn’t have changed or asked for anything different. I love it.
Eric Cross (02:02):
I definitely agree with you. So, your history—you’ve been in various middle-school classrooms. Can you tell us a little bit about that? What classrooms have you been in? What disciplines of science have you taught or are currently teaching?
Ryan Renee Rudkin (02:14):
I was hired for seventh grade life science, and then I did that for a few years and then I got moved into eighth physical science, and I was there for 12 years. Love eighth grade science. I love eighth graders. Chemistry and physics are my favorite. There’s just so much opportunity for just awesome labs, great conversations, student discourse, all of that. And then the past three years I’ve been in sixth grade and now we’re integrated. So,a sixth grade integrated science and I also teach social studies and a technology design class.
Eric Cross (02:52):
Oh, nice. What do you do in your technology design class? That sounds cool.
Ryan Renee Rudkin (02:56):
Right now it’s mostly internet media and we use WeVideo, it’s an editing-video program, and we produce and put on our school weekly news bulletin. And then we weave in other projects. We do some interdisciplinary projects. Right now my students are working on a mythology God, Goddess, and Monster project that relates to our social studies curriculum. And we’re learning about Greece. So yeah, we just try to give them added projects and they’re using the WeVideo platform. By sixth grade, they’re coming to us now with wonderful skills with all the tech. I mean, if I need help, I ask them like, “How do you do something on Google Docs?” Or, “How do you do something on Drive?” The kids are definitely tech-savvy.
Eric Cross (03:49):
They must love being the teacher in the classroom. They get to—it kind of switches power roles, where they get to teach the teacher something.
Ryan Renee Rudkin (03:56):
Yes. And especially WeVideo, sometimes we’ve had some hiccups, and the kids show everybody, and that’s part of the design class. They’re trying to solve—we’re teaching them how to solve their own problems. So if there’s any kind of issue with anything with the technology, honestly, I usually tell them, “Go ask a friend,” or we kind of shout out, “Hey, who knows how to troubleshoot this?” And the kids are eager to help each other, which is nice.
Eric Cross (04:21):
And they have this authentic experience where they’re actually doing real problem-solving, as opposed to something that we manufactured. Like, those are real things that we have to deal with in life. And that’s exactly like how we solve it, right? We just go ask people! We look it up, and the ahas are genuine too. Throughout!
Ryan Renee Rudkin (04:36):
Yes, especially thinking on the fly. Especially yesterday, I was in the middle of teaching and my laptop froze, and it’s like, “OK, everybodytake a couple minutes, you know, work on this, this, or that while I switch out laptops!” And so I’m modeling, too, how to solve my own problems. And I think it teaches the kids how to do that too.
Eric Cross (04:59):
I’ve always thought it was interesting that when teachers get to teach in real time, how do we handle stress and frustration when it’s really happening? And I think the tech—at times, failure is the real one where you feel this chill or this sweat that kind of comes over you and you’re trying to present or cast or the video won’t play and things like that. I think I’ve done enough times in my years of teaching where now my students know what to do, or they want to come up and help, and we’re good with it. But I remember in the beginning when those things would kind of glitch or go wrong or the wifi goes down, and you’re like, OK, what do we need now?
Ryan Renee Rudkin (05:33):
I think it’s honestly, after the fact, when I think in the moment, I’m not thinking of feeling stressed, but just afterwards, then I’m like, “Oh my gosh, this has just been a wild day.” But yeah, you just have to kind of go with it. And that’s just the beast of middle school. I just added to the list of why we love it.
Eric Cross (05:53):
You said something about interdisciplinary work, and I wanna kind of ask about that. Because it sounds like you’ve had your hand in several different areas of science and grade levels. Working, doing design courses, working with tech. Are there certain lessons that are your favorites to teach? The ones that you really enjoy, or that no matter what, you’re like, “We need to do this; this is such a rich experience for students”?
Ryan Renee Rudkin (06:17):
Yeah. I definitely try to do lessons or activities along the way. I like to do projects at the end of my units. When I taught physics, we did a project and it was mainly an assessment tool called the Wheeling and Dealing. The kids, they would all get a different car. And then they to sell their car. And so they had to pretend to be a car salesman, and they did that with their knowledge of the physics unit. So everything we did on forces and speed and motion. So I like doing culminating projects like that. And you’re kind of tricking them into assessing them.
Eric Cross (06:57):
When I think about your car salesman project, I’m thinking of a bunch of students, but they’re like on Shark Tank, but they’re just littler versions. And they’re doing these sales pitches, but they’re speaking in scientific terms as they’re trying to do it. Do you record these or do they just exist in the classroom?
Ryan Renee Rudkin (07:12):
No…And that was a long time ago, when I taught eighth grade. I wish I had; I wish I had recorded. That was definitely—it was fun, ’cause the kids, they would get their little piece of paper and they—some of ’em didn’t know what car it was. And so they’re like “A Boo… A Boo-gatti? What’s a Boo-gatti?” And then someone from across the room would be like, “Ooh, I want it! Here, I’ll trade you my Ford Focus!” And <laugh> so they would kind of wheel-and-deal which car they would…and then once they got their choice, then they would do the project.
Eric Cross (07:44):
So they’re really embodying this persona of a car salesman. The wheeling and doing back-and-forth and trying to trade a Bugatti for a Ford Focus. <Laugh>
Ryan Renee Rudkin (07:53):
I know. <Laugh> I like to make my class, my learning environment, enjoyable. You know, I gotta be there; they gotta be there. So I know there’s other goals in mind—you know, standards and test scores—but at the end of the day, I wanna come back, and I want them to come back. And I just have that as a priority.
Eric Cross (08:18):
Well, based on the projects that you’re doing and the way that you approach education with students, I can see why middle-school students would want to come back, even if they had the option not to. Just because of the cool things that you’re doing. Now we’re on this—hopefully, fingers crossed—tail end of COVID in the classroom and schools, and I know it’s impacted all of us differently. Has student engagement changed since COVID and if so, how, and what have you done in these last two years to maybe adjust your approach, to continue that engagement and that richness that you provide for your kids?
Ryan Renee Rudkin (08:57):
I definitely—I think for me, I recognize that when the students are in my classroom, I want them to, I dunno, for lack of a better word, just escape the noise at home. And I know we’ve always had students that are going through divorce situations or their dog died, other things, but I think with COVID, it’s definitely been compounded. And just creating a safe place for the kids to want to be and…it’s hard. We’ve had a lot of students that have been out, absent, for various reasons and on quarantine. And they’re struggling with doing work from home, ’cause their parents are stressed and their parents are dealing with their work issues. And so I think just having grace for the kids and just keeping…I don’t know, I guess like I said, I’ve always had student engagement as top of my list.
Eric Cross (10:06):
It sounds like—the things I hear you say really have to do with who these students are as people.
Ryan Renee Rudkin (10:12):
Yeah.
Eric Cross (10:13):
And then as a second, who they are as students. How do relationships fit into your engagement? ‘Cause I’m hearing this connection that you seem to be making with kids as you’re talking about things that are beyond academics: their home life, how they’re impacted.
Ryan Renee Rudkin (10:28):
Yes.
Eric Cross (10:28):
Is there anything that you do to build these relationships, or to connect with your students, to make them feel wanted or feel connected to the classroom or to you?
Ryan Renee Rudkin (10:37):
Yeah, I do. I do a few things to build those connections. And again, this timeframe in their life is so out of their control, their peer relationships, relationships with their parents. And when they’re in my classroom, I want them to feel loved and appreciated. Something I do it’s called Phone Fridays. And in one of the social media groups, someone posted about it, and I’ve been doing it for over a year now, actually. So on Fridays I call parents and give good news. And so I’ll pick maybe one or two students. And it could be academic reasons. It could be behavior, I’ve seen a slight improvement of behavior. Maybe a role model in the classroom. And my goal is to get everybody every trimester. So everybody gets a phone call by the end of the trimester. And it’s funny ’cause sometimes the parents are a little like “Uh-oh”! When they pick up, they see the caller ID, and their school’s calling. ‘Cause Some kids don’t get good calls. So it’s a really—I would say every single parent that I’ve called, I usually get a follow-up email, either to me or my admin, just saying it’s such a cool idea I do this; thank you so much. And yeah, I just call and give good news and just put ’em on the spot. And usually the kids are a little embarrassed, but you can tell, even though they’re kind of—I think they’re faking it, that they’re embarrassed! ‘Cause You know that they got the Phone Friday, and everybody’s like, “Who’s gonna get the phone Friday?!” And so it’s a very big deal in my class.
Eric Cross (12:07):
What a great way to—I mean, it seems like that hits on so many levels. You’re making these positive calls home. You’re praising publicly, which a lot of times can happen where students can get criticized or redirected publicly and then praised privately, which is a lot of times the reverse what we should be doing. But here you are praising them publicly. And then you’re not only building a relationship with yourself, but you’re also connecting them with their parent or whoever is caring for them, because now when they go home, there’s this, “Hey, your teacher called; you’re doing awesome!” So it’s this kind of triangle that’s forming there. I think that’s super-cool and a great thing for teachers to do.
Ryan Renee Rudkin (12:45):
It takes, you know, the last five minutes of my class. I do it every class. And then I have a system. Like I said, I keep track of all the kids. That way, by the end of the trimester I’ve gotten everybody. Sometimes I let the students, whoever I call first, then I let them pick a peer and I tell them, “OK, we have to have a solid reason. Why are we calling?” And a couple times they’ll have a student, like one of my energized ones, they’ll raise their hand. “How About me? How about me?” And I and the kids kind of laugh a little and I said, “Well, how about this? Let’s make a goal. How about next week we’re gonna make a goal and we’re gonna have a reason to call home.” So just working on the kids that need a little push in the right direction. That’s other reasoning to it. But yeah, it’s fun. I love it.
Eric Cross (13:33):
And you have the community. You have this goal setting. We were talking a little earlier about this transition—so you’re becoming this…your school’s going through the IB process, is that right?
Ryan Renee Rudkin (13:44):
Yes.
Eric Cross (13:44):
And we were talking about the ATL skills and one of them is goal-setting management. You already kind of organically do this in your classroom, which is really neat. I know being an IB teacher, a lot of times I find the things that I’ve already been doing and find, “Oh, this is actually an approach to learning!” or “This is something that has a title!” I just thought it was just being helpful! Ah…So the kids are connected. You have this process where you’re calling parents; it’s working; students are involved, so it’s building this community. Now you’re engaging students. Do you have any favorite student engagement tools that you use in your classroom or when you’re teaching that you feel like you get a lot of bang for your buck? There’s so many things out there these days. And so many approaches, tools, web apps. Do you have any favorites that you use?
Ryan Renee Rudkin (14:40):
No. Nothing comes up top of my mind right now. Mostly just projects, like I said. And being excited. I think having my students see me excited about something…and I’m honest when we’re doing something that’s not quite my favorite, then I’m honest about that too. But just having my—like, we just started thermal energy this week and I told my students, I said, “OK guys, I’m gonna weave in some chemistry in there. I’m gonna weave in some particle motion,” and they’re like, “Oh! That’s when you taught eighth grade, huh!” Cause I talk a lot about when I taught eighth grade before. I don’t know, just showing my own enthusiasm, I think, is a good payoff to me. That’s a bang for your buck. Other things…I try to give ’em cool videos and Mark Grober, he’s definitely a favorite of mine I like to show my students. I like to bring in guest speakers from our community. When I taught eighth grade for physics, I always brought in a local CHP officer and they would bring in the radar and lidar guns and the kids would mark off the parking lot and they would calculate their speed. And then they would verify it with the radar gun. Two years ago when I taught math, I brought in a local landscaper company, a father-and-son outfit, and they showed the kids how they would do bids on jobs. And so, relate it to our chapter on volume and area. So just making that connection with real life. Plus it’s just a nice opportunity, too, for the community to come in. With our design class, put on our newscast. And then one of our units in our sixth grade curriculum is weather. And so I brought in a local weatheruh, chief meteorologist. And he actually talked to the students about his job as a meteorologist and then also being on the news and putting on a newscast. So we got him on our green screen and did a little like Mark Finan, you know, little cameo on our newscast for the week for school. So that was kind of cool.
Eric Cross (16:45):
They must have been excited.
Ryan Renee Rudkin (16:47):
Yeah. They’re pretty starstruck by him. So that was pretty fun.
Eric Cross (16:51):
This person was on their local news? So they would know him?
Ryan Renee Rudkin (16:56):
Yeah, he’s on Channel 3 out of Sacramento. Yeah. KCRA Channel 3, Mark Finan.
Eric Cross (17:00):
So all these guest speakers that you have…how do you reach out to these people? And you sound like you get a lot of success. Do you ever get nos? Like if I’m sitting here listening and that inspires me, but you’re getting celebrities and you see a few people…like, how do you reach out to them? And does everybody say yes? How does it go?
Ryan Renee Rudkin (17:21):
Well, usually at my back-to-school night, I always ask the parents if they have a career or hobby that could lend itself to the curriculum. And so sometimes I’ll hear about—students will talk about, like, “My mom’s a doctor.” And so I’ll reach out to parents and just say, “Hey, you know, your kiddo said, you’re a doctor. May I ask what type?” And most of the time the nos that I’ve received are just because of schedule conflicts. You just have to get creative! Look in your community and see what you have. People want to come and talk to kids. I’ve had some presentations that the person is so intelligent and amazing, but they just, weren’t very kid-friendly. I mean, that happens. Butsomeone knows someone. And just ask! I mean, it doesn’t hurt to ask to have ’em come out, come hang out for the day, with my students. Andone time I had a nurse practitioner she was in the cardiac unit. And so she brought in hearts and led a heart dissection with my students. And we did a station set-up. I’ve had elaborate ones like that, or just a mom come in to tell my students about her job as a nutritionist and relate it to our unit on metabolism. And so just did like a little 15-minute Q&A with the kids on nutrition. And I would just say, look at your community and/or post on social media. I always do that. Post in your school’s PTA groups. So the parents know someone, that’s for sure. Or someone’s retired. One time I had—I think he was a grandfather of one of the kids—he was into rocks. And he had a bunch of meteorites <laugh> and brought in his meteorites.
Eric Cross (19:15):
Bring in your rocks!
Ryan Renee Rudkin (19:15):
I know! Right? And he <laugh> just brought in his meteorite collection! I was like, sure, come on in!
Eric Cross (19:23):
That’s one of the things I love about being a middle-school teacher is that my students have such varied interests and I’ll get the Rock Kid every once in a while and he’ll come in and he’ll have all these rocks and crystals. And a lot of times there’s a grandfather that’s responsible for this inherited geologic treasure that they have.
Ryan Renee Rudkin (19:45):
Yeah, something like that—I mean rocks are not my favorites, but I don’t really tell the kids that. I was like, “Sure, yeah, come on in! We can have a whole-day lesson on rocks!”
Eric Cross (19:55):
<Weakly> “This is great!”
Ryan Renee Rudkin (19:58):
Just utilizing your resources. That’s all it’s about.
Eric Cross (20:02):
Well, I think the back-to-school night was really helpful. That’s something that’s super doable. You have a bunch of parents and you just simply ask, “Who do you know? What do you do?” And then just collecting that and then just asking people to come in. I’ve I’ve been reluctant to do it more often than I’ve wanted to, because I haven’t figured out—and maybe you can help me with this—I have three class periods a day plus other class periods that are not necessarily science. And I don’t want to dominate a person’s schedule. Do they tend to be willing to stay all day? Or do you do, one class gets it, and you record it? Like, how do you balance out the speakers with your school schedule?
Ryan Renee Rudkin (20:39):
Mostly they’ll they’ll just come for the whole day. When I taught eighth grade, I had five classes, so that was easy. That was an all-day thing. And then usually I’ll offer to call lunch, have lunch delivered, or snacks during the day. I mean—
Eric Cross (20:53):
Feeding them is key.
Ryan Renee Rudkin (20:54):
Yeah. Just something kind of nice. Donuts in the morning. I mean, you’d be very surprised. Most people that are in the field or retired, like I said, they’re more than willing to come. And even if they have to wait an hour, while you teach another class that doesn’t pertain to it, then they’ll either leave or come back or just hang out in the back and pretend to be a student during that history class that you have.
Eric Cross (21:20):
It’s my own limiting belief where I feel guilty. I don’t think about it. I need to think about it through the perspective that you do, that these people WANT to talk. I just assume everybody’s so busy. But I do know, the times I’ve had speakers come out, at the end of the day, they’re so energized or they’re so happy or they’re so grateful. ‘Cause They’re like, “This is what it’s like to teach every day?” I’m like, “Yeah, this is what it’s like.”
Ryan Renee Rudkin (21:42):
I think too, a lot of parents…usually being being in the stops at elementary. A Lot of parents don’t get the opportunity to come help out in the classroom, because the middle school kids, you know, it’s not very cool or it’s just not needed like in the elementary classes. So a lot of times, like I said, you’d be surprised. A lot of the parents they’re more than happy to come and hang out. And again, some students, they don’t want their mom or dad to be there, but then I talk it up. I’m like, “Everyone’s gonna be so like impressed that your dad’s a doctor,” or “your mom’s a doctor” or —so then I kind of like downplay it. Like, “Oh, whatever, you’re you’re faking it. It’ll be fine. Don’t be embarrassed.” Leading up to their parent coming into the classroom.
Eric Cross (22:36):
Right. Kind of redirect that energy toward something positive. With guest speakers, projects, pacing, all these awesome things that you have going on, how do you find balance as a teacher, as a person? And what encouragement would you give to new or aspiring teachers? We work in a profession that will take as much as you give it. And you fall asleep at night worrying about other people’s kids and we love it. And teachers by personality can just give and give and give and give. But in order for us to last—I’m thinking about those new teachers who are going into it, who are gonna go in and be there before the sun gets up and stay after the sun gets down. How do you maintain balance, taking care of yourself? You’ve been in education for—how long have you been teaching for?
Ryan Renee Rudkin (23:29):
Sixteen. This is my 16th year.
Eric Cross (23:31):
Enough to be that veteran. So how do you find balance? And then, what encouragement would you give to new or aspiring teachers?
Ryan Renee Rudkin (23:39):
I would say each year, pick one or two things to add on. You can’t add on 10 things, even though you’re gonna find 10 things that are awesome. But just make a little list, put ’em in a file, and every year, just get good at what you do and then just add on one or two things. And reflect on what’s not going well that you can get rid of to make room to add something else. Try to be patient with yourself. And don’t reinvent the wheel. There’s so many things out there that you can borrow and make it your own. Again, I think that’s a time-saver, just leaning on your colleagues. And take lots of notes, because then when you do it again next year, you can refresh yourself and, “Oh yeah, this lesson, wasn’t the best…” What can you add in to make it a little bit better? And yeah, I would say just take on one or two things each year. And then by the time you get to, you know, being a veteran, you can do all these awesome things and it’ll feel natural ’cause you’ve been practicing and just adding in one thing at a time. I coached Science Olympiad a bunch of years ago, and Science Olympiad is so rewarding. It’s just so amazing.
Eric Cross (24:59):
What is Science Olympiad, for the people who’ve never heard of it?
Ryan Renee Rudkin (25:03):
Oh, Science Olympiad is so awesome. Google it. I think it’s just ScienceOlympiad.org. It’s 23 different events across all disciplines of science, different topics. And then you have a team of 15 students. And so your 15 students have to cover the 23 events. So for example, if the student’s on the anatomy team, usually there’s a team of two kids they’re gonna study and learn. They provide all the rules and the guidelines. So the students learn and study whatever the parameters are for that year. And then they take a test. And then they compete against other schools. And there’s build events, the engineering events, they can build things like trebuchets matchbox cars or mousetrap cars. Oh gosh, there’s all kinds of things. There’s like a Rube Goldberg device. It changes every year. And it’s so rewarding to see the kids; they pick their area of science that they love. And sometimes you have to put them on an event that they don’t know, and then they end up loving it. It’s so rewarding as a teacher to see these kids that are just on fire and you know that one day they’re gonna go off and do amazing things. They just commit. They commit to their event. And then they blow it outta the water and they win medals and just the recognition…it’s super, it’s just an amazing program.
Eric Cross (26:42):
One of the competitions that’s really low-tech that I’ve taken into my classroom is Write It, Do It. Have you done that one before?
Ryan Renee Rudkin (26:50):
Oh, yes. Yeah. That’s one. Yep.
Eric Cross (26:52):
It’s such a low-tech, simple one to do, but it teaches such great skills. And for those people who haven’t heard of the Write It, Do It project, you create kinda some abstract art out of random crafts. That’s very difficult to describe. You have pipe cleaners and foam and balls and you know, all these different things. And you make it. And then one person on the team is the writer, and they look at it and they write the procedures, and then their teammate, who’s in a different room and doesn’t get to see it, gets all the materials to build it and the procedures, and they have to rebuild it as closely as possible to the actual original. Even though they don’t get to see the original. So they have to rely on their partner’s ability to write procedures step-by-step. And it was fun to watch my students become teammates in that. And they learned how to communicate in a really fun competition. So I expanded it to do it with all of my students as an activity, just to teach them how write descriptively, to write procedurally, to be technical writers. And it’s, it’s fun! It’s fun to see what they build based on what the students say. <Laugh> And it’s also fun to watch them interact with each other, which for seventh graders, usually it’s conflict. <Laugh> But, like, playful conflict. <Laugh> It’s pretty funny to see what they build.
Ryan Renee Rudkin (28:11):
They’re like, “Man, what are you talking about? That doesn’t mean this; it means this!”
Eric Cross (28:16):
<Laugh> I know part of me feels guilty, but not enough to stop the project. ‘Cause I know for some of ’em, it’s gonna be a really trial by fire being able to practice their skills with writing procedures.
Ryan Renee Rudkin (28:27):
But they’re learning among themselves how to provide more details and to be more thorough with their writing and and their thoughts, put their thoughts onto paper. So yeah, that’s a funny event. Definitely.
Eric Cross (28:41):
Earlier you had mentioned something about connecting your kids with kids and students outside of your classroom. What is it that you do with that? Because I thought that was a really cool project. Can you speak to that a little bit?
Ryan Renee Rudkin (28:57):
Yes, I’ve done—they haven’t had it in a few years, but there’s something called the Pringles Challenge. And if you Google that, I’m sure it’s on the Internet still. So you sign your class up, or your classes, and you get partnered with another school somewhere in the U.S., someplace else. And you decide individually teams, whatever they build. And they make a package to ship a single Pringle chip through the mail. And then you actually mail a Pringle chip through the mail. And then your partner team or partner school, they send their chips to you and then you open everything and then you can take pictures and video. And then there was a whole scoring process where you would score when you receive the chips. And then you input all the data on the website so you can see like how your—and most schools would trade pictures, so that the kids found out how their chip survived. March Mammal Madness is so much fun. Again, Google that.
Eric Cross (30:01):
Did you say March Mammal Madness?
Ryan Renee Rudkin (30:02):
Yes.
Eric Cross (30:03):
Like March Madness, with mammals?
Ryan Renee Rudkin (30:05):
Yes.
Eric Cross (30:05):
- What is this?
Ryan Renee Rudkin (30:06):
It starts up in March. And you can sign your students up. And that one—it’s not too interactive with other schools, but this is opportunity to get the kids interacting within your site or within your district. Or if you have teacher friends at other schools. There’s like 60…I think it’s 64 animals? And they have this massive bracket that they post. And then you can have the students, I did it—it would be very time-consuming to have the kids individually research each animal. So I just gave one animal per student and so as a class we researched all the animals and then, I think it’s every three days or so, they have these bouts. And it’s all posted on YouTube. Google it. It’s kind of fun.
Eric Cross (30:56):
I’ve already got the website up, ready to go! Folks, everybody who needs to Google this: <articulates carefully> March Mammal Madness. And is it Arizona State University? Is that the main site, ASU?
Ryan Renee Rudkin (31:04):
Yes.
Eric Cross (31:04):
So people, listen to this. Check it out. March Mammal Madness. Look, I’m doing this! I’m already,—you’ve already sold me on this.
Ryan Renee Rudkin (31:14):
It is so much fun, oh my gosh. And then, then the kids—each round, they pick their pick, just like basketball. They do their picks and then you wait for the video. And they do it live on—I think it’s live on Instagram, or the next day on YouTube. And then the kids get all excited. And then usually the kids, whatever animal they got as their research animal, they’re rooting for that one to win, the whole thing.
Eric Cross (31:42):
But we still have time; we still have time to—
Ryan Renee Rudkin (31:45):
You can jump in anytime. Even if it’s already started, you can jump into it. It usually lasts—I believe it’s a two-week from beginning to end. When they do the first round, the wild card, and then all the way to the winner, I believe it’s a two-week process. Oh, maybe three, actually.
Eric Cross (31:59):
I’m already seeing this lead-up to the video being watched in class to see…I’m already thinking about like, “How do I prevent my students from finding the video?” Or like, “When does it go live so that I could be the one to show them so they didn’t go find it early?”
Ryan Renee Rudkin (32:13):
It takes time out of the class, but I believe it’s one of those things where you have to just…it takes 10 minutes out of the class, but it’s important. So when they each round and then the next day, they release the YouTube video. Last year, when it got down to the final round, we were on spring break. And so I told my students, “You guys, let’s do some optional Zooms. And so I had a bunch of kids log on and we all watched the videos together. So that was kind of fun. And then this year, the other thing, the first time I’ve ever done this and it’s going really well is—on social media, I was talking with one of the teachers from Ohio who teaches science and she and I decided we’re gonna do penpals for our students this year. Paper-And-Pen penpals. So that’s been a lot of fun. We just partnered up all the students, her students and my students, and once a month we send and receive the letters to each other. So that’s been a really cool experience.
Eric Cross (33:14):
If you keep doing that, and you need more teachers to be involved, can my students be penpals with your students?
Ryan Renee Rudkin (33:20):
Yeah!
Eric Cross (33:20):
If you open it up to more people? I think that, to get a letter, old-school? Letter in the mail? It would be so exciting.
Ryan Renee Rudkin (33:28):
It is. We mail them, the teacher and I, we just put them all together in one package. But yeah, it’s an actual handwritten letter.
Eric Cross (33:37):
The only letters I feel like I get in the mail now are bills.
Ryan Renee Rudkin (33:42):
Right? Exactly.
Eric Cross (33:42):
But I feel like the digital version of that is if someone calls me, it’s probably bad news. I don’t know if I’m the only one that’s like that, but I’m like, “Who’s calling me? Why aren’t you texting me? What’s going on? Text me first, then call! I need to know who’s going on, and if you’re unknown, you’re going to voicemail.
Ryan Renee Rudkin (34:00):
Exactly. The penpals has been a lot of fun.
Eric Cross (34:03):
You’ve been in education for a while. You’re on the other side of what it’s like to be a student in the classroom. Which can be surreal in itself, when we think about our own experiences as being a student. Is there a teacher or a learning experience that’s had an impact on you while you were a student in school that really stands out to you? And you can interpret the question however you want. But is there someone that’s memorable or an experience that’s memorable that you still carry with you today?
Ryan Renee Rudkin (34:32):
Definitely. My favorite teacher, and we actually still keep in contact on social media is Mrs. Sheldon. She was my fifth and sixth grade teacher. I had the pleasure when I was in elementary school, I was in an all-day contained GATE class—Gifted and Talented Education class. I vividly remember doing so many amazing projects. We built this big, giant—she brought in a big ol’, like, TV box. It was big, big, big. And you could stick like three kids inside there, standing up shoulder-to-shoulder. And we built this big dragon. The head, and we had the whole rest of the class in a big sheet behind us, and we would do a little parade around the school. And she had that thing for years after. They had to repair it every year, and they would do the little parade around school. She did a lot of traveling and when we would go on vacation and then come back, that was always the big deal: “Where did Mrs Sheldon go?” And she had sand from Egypt and pictures from the rainforest. And later when I became a teacher and then I looked her up and we reconnected I did ask her, “Did you go to those places? Or did you, like, lie about it? <Laugh> To get us engaged?
Eric Cross (35:52):
You went for the real questions!
Ryan Renee Rudkin (35:54):
I did. And she laughed and thought that was funny. And she did travel for real. But yeah, she’s an amazing woman. We still keep in contact. And I remember, you know, little things…like we would be out there doing our PE time and she’d have her long skirt, you know, dress on, with her tennies, and she’s out there playing kickball with us. Just a very kindhearted, smart, amazing woman. I’m very fortunate and I’m grateful that we are able to keep in contact. Love social media for that reason. So.
Eric Cross (36:33):
Yeah. And that’s Miss Sheldon?
Ryan Renee Rudkin (36:35):
Mrs. Sheldon. Marlene Sheldon. Yeah.
Eric Cross (36:37):
Shout-Out to Marlene Sheldon influencing the next generation of teachers, with engagement with your world travels and all those different things.
Eric Cross (37:04):
Ryan, thank you so much for one, serving our students. And in the classroom, our middle-school students who need us. I think that middle school especially, elementary school, those years are when students are really starting to decide, “What am I good at?” And the experiences that we create for our students really shape what they believe they can do. These really cool, engaging experiences, these projects that you’re giving them, whether they’re doing these car sales, Shark Tanks, or they’re doing penpals, or you have guest speakers, or they’re designing planets. These are things that students don’t forget. And then when they move on to higher grades, they remember more than anything, I think, how they felt about something. And it sounds like you’re crafting these awesome experiences. And so I just wanna thank you for your time. I know as a teacher it’s very short. And I thank you for being on the podcast with us.
Ryan Renee Rudkin (38:04):
Thank you. This has been a great experience. I just—I really enjoy my students. And I feel very, very grateful and very blessed for finding where I belong.
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Meet the guest
Ryan Rudkin is a middle school science educator near Sacremento, California. Although she originally thought she would teach elementary students, Ryan connected with middle school and never looked back. Now in her 16th year in the classroom, Ryan also supports teachers in her district with professional development. Ryan’s favorite part of teaching science is seeing students grapple with concepts and explore phenomena.

About Science Connections: The podcast
Welcome to Science Connections: The Podcast! Science is changing before our eyes, now more than ever. So…how do we help kids figure that out? We will bring on educators, scientists, and more to discuss the importance of high-quality science instruction. In this episode, hear from our host Eric Cross about his work engaging students as a K-8 science teacher.
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S3 – 05. Developing an asset orientation with Lani Horn

In this episode, math education professor Lani Horn shares with us what it means to have an asset orientation towards students, contrasting it with a deficit orientation, and helping Bethany and Dan understand the many ways students experience one or the other. Their conversation hit both high notes and low notes and included a challenge that Bethany and Dan both found extremely valuable for helping a teacher develop an asset orientation towards their students.
Explore more from Math Teacher Lounge by visiting our main page.
Dan Meyer (00:03)
Welcome back to Math Teacher Lounge, folks. My name is Dan Meyer.
Bethany Lockhart Johnson (00:07):
And I’m Bethany Lockhart Johnson.
Dan Meyer (00:09):
We’re so excited to be here with you folks and with our guest today, tackling big questions about mathematics. I wanna ask Bethany first though: Bethany, it’s been kind of a challenging couple of years for those of us in education, near education, just in life in general, of course. But I woke up this morning and the sun was out; the weather was perfect and crisp here in Oakland; and I found myself feeling optimistic, a sense of hopefulness. And I was wondering to myself, “What is Bethany feeling hopeful about in math education right now?” What’s got you juiced up a little bit?
Bethany Lockhart Johnson (00:40):
I gotta say, that optimism, Dan, look at that! I can actually feel the sunshine just pouring through the microphone! So I thank you for asking. What am I feeling optimistic about in math education? Hmm. OK, this is gonna sound a little bit cop-out-y, but I have been so completely jazzed about not only our podcast, but the conversations that I’ve been seeing circulating in other math podcasts that are out there around curriculum, around new books coming out. It just feels like despite overwhelm, despite exhaustion, that most teachers really do love learning. And so there’s like that kernel. And so I just feel like there’s books on my shelf I wanna read; there’s podcasts in the queue I wanna listen to; and summertime is the best, best time to do it.
Dan Meyer (01:39):
People still feel hungry out there for learning. They know the importance of the craft and its impact on students. And, yeah, people are tired, but also it is so cool to see people still jazzed about learning more about how to teach students more effectively. Me, I’m excited right now, I have a very specific excitement right now, which is that today we announced that Desmos, where I work, and Amplify, our sponsor, are no longer gonna be two separate things. That we are joining together. That I, and all these people who have done so much work over the last 10 years developing digital math technology, we’re gonna go and work inside of Amplify as a division called Desmos Classroom. And we’re so excited that…what we cracked, I think, at Desmos, is a way of thinking about how teachers and their tools—computers, for instance—interact with students in math. And I love what we did there. But we never really cracked the question of, “How do you support entire school systems in taking up these ideas and tools?” And Amplify has really done that. So I’m super-excited to partner up there. That’s what I’m optimistic about and happy about.
Bethany Lockhart Johnson (02:40):
Congratulations! That’s a huge transition, and I’m just so excited about the amazing work that both Amplify and Desmos do. But then, the idea of Desmos being in more classrooms? Those tools being available for more students? With the reach? I mean, I’m just excited! It’s a big day, Dan.
Dan Meyer (03:00):
Thank you. Yes, exciting day. And I’m excited about also about our guest we’re bringing on today. How’s that for a segue? I’ll be excited to hear what our guest is excited about in math education. I just wanna say that what our guest, Lani Horn, Professor Lani Horn, has exposed us to is this idea of an asset orientation and its importance. And I do think I’m not over-exaggerating or overstating to say that the idea of an asset orientation towards students and their thinking has been possibly the most transformative idea for me in the last five years of being an educator. And adopting it has led to my favorite lessons, my favorite teaching experiences, my favorite relationships with students. I say all that—you know, I don’t wanna gas things up too much; is that too high of a bar here to have expectations? But it really has been tremendous! And Lani Horn gave a talk several years ago called “An Asset Orientation Is Everything,” which really changed the game up for me. And Bethany watched it as well. So that’s why I’m so excited to have on the person who gave that talk. And who’s done so much research around what an asset orientation offers students and teachers. So we’re bringing on today Lani Horn, who is a professor of mathematics education at Vanderbilt University, Peabody College, who centers her research on ways to make authentic mathematics, ambitious math teaching, accessible to students and teachers, particularly those who have been historically marginalized by our educational system. I think Lani has just a beating heart for students, yes, but also really respects the work of teaching in ways I think are so needed and sometimes uncommon in the world of math-education research. So Lani, thank you so much for coming on and joining us in the Lounge.
Lani Horn (04:41):
Thanks for having me.
Dan Meyer (04:44):
We would love to know what you are excited about and optimistic about right now in the world of mathematics education. What’s got you a little bit gassed up?
Lani Horn (04:52):
Up, gassed up? Hmm. Let me reframe it, ’cause I don’t know if I’m gassed up, but I’m cautiously hopeful that maybe that in the wake of the interrupted learning that’s been sort of widespread during the pandemic that maybe we’ll get some traction around more strategies for teaching in heterogeneous classrooms. Which I think every classroom is, to varying extents: a heterogeneous classroom. And I was talking with a colleague the other day about this idea of hmm, maybe modeling would be a really cool thing to focus teachers on. Doing some more mathematical modeling across the grade levels. Because it just seems like there’s a lot of opportunities for kids to kind of catch up on ideas and understandings that they may not have fully grasped because of interrupted learning, interrupted schooling. But also with room to engage in a lot of ideas. So we were playing with that and I was like, “Gosh, that’d be pretty cool if people took that on more broadly.” ‘Cause I don’t think that there’s been enough conversations about meaningful differentiation in that kind of way, like at the level of curriculum. So I would love to see an upsurge in interest in that kind of stuff, ’cause that’s a big place where I have a lot of passion, so I’m ready! I’m ready for people to ask questions about that. And actually it’s really very, very, very closely related to the topic today of having an asset orientation towards students.
Bethany Lockhart Johnson (06:34):
First of all, I’m so excited to have you on Math Teacher Lounge, have you in the Lounge, and get to talk to you, because when Dan sent me this talk, my first thing was, “Oh, I think I know what asset orientation is and looks like.” You know, you kind of hypothesize about what you think it’s going to be. And then you started talking and I’m like, “Wait, wait, why am I just hearing this now?” So I thought I knew what it was, but really I felt like there was so much to unpack. And I would just love for you to share with our listeners, in case they are like, “Oh, asset orientation, I know what that is. I’ve got it. My students have got it.” What is it? And why does it matter so much to our teachers?
Lani Horn (07:19):
The most obvious point is that asset is the opposite of deficit, right? And we know that deficit thinking is very harmful to students. That there’s a real teacher-expectation bias that that kids pick up on, that we communicate indirectly to students and that impacts their learning and their ability to meet our academic expectations and, other expectations in classrooms. So an asset orientation is looking for students’ strengths and trying to work from those strengths as a basis for your teaching.
Dan Meyer (07:54):
So that’s a really fantastic starting spot there. And I think what’s initially surprising to me about the research you cited in your talk, that is built around an asset orientation, is how…I think if you come at learning from a—I guess in research, they call a cognitivist frame, where learning happens when teachers say the right things that make a transfer from the teacher’s brain to the student’s brain. A lot of what you’re describing is very counterintuitive, I think. The asset orientation describes a teacher’s kind of subtle disposition. It’s not what, like what they’re saying exactly. It’s what they communicate in the subtext and the body language, that all emanates from some perspective on students and the idea that that filters down somehow and students pick up on that—like a smell in the air—and that determines a lot of their learning, I think is one part of your talk and the research that I thought was really surprising. How close is that to like how this actually works? And can you add to that description or pivot it a little bit?
Lani Horn (08:54):
Expansion of the sort of cognitive framing of teacher and student interaction…part of what’s really hard about developing and maintaining an asset orientation is that schools are organized in ways that rank and sort children. And so when we are just using the everyday language of schooling, sometimes we’re injecting these preconceived deficit notions of students into our talk and into how we’re thinking about, interpreting, looking at students. So not only is this interruption a sort of a cognitive lens on teacher-student interaction, but it’s really looking at how the social environment is setting teacher-student interaction to take on certain kinds of framings.
Dan Meyer (09:44):
This is what I mean about Lani having such a generous frame towards teachers and the work of teaching. I wonder, though, if you could help us make concrete how an asset and deficit orientation might play out in a hypothetical classroom interaction.
Lani Horn (10:00):
Sure. A really commonplace example is a teacher has a group of students. It’s October or November. So there’s already been a few assessments. And that gives the teacher an idea who the strong students are and who the struggling students are. And they’re having a classroom conversation. And someone who hasn’t performed well, a kid who hasn’t performed well on those assessments—the teacher poses a question. A kid who hasn’t performed well on the assessments is called on. And they sort of hesitate in formulating their response. And the teacher with that lens of “this is a struggling student” then may have to make a decision: “Do I persist? Do I support this kid? Do I help them formulate an answer? Do I try to draw out their thinking anyway? Or do I move on to a kid who is academically performed better in my class?” And I would say that a lot of teachers in that situation would very understandably say, “OK, I get it. You’re not a strong math student. You’re not confident in my class. I’m gonna move on because I need to get through this lesson to somebody who I know is gonna provide me with a correct answer.” And they do it also out of, sometimes, a sense of care, of not wanting to put that student on the spot. However, part of what is another unintended result of making that choice is instead of trying out that student’s thinking, listen to their sort of, maybe, hesitant answer, and trying to find the kernel in it that maybe could be supported and amplified, that kid then loses an opportunity to have their idea be a part of the whole class’s mathematical conversation. Completely common, completely understandable kind of interaction that I see all the time.
Bethany Lockhart Johnson (11:52):
That feels so huge. And that I can actually picture that happening.
Lani Horn (11:56):
Of course. We’ve all seen it. We’ve all done it.
Bethany Lockhart Johnson (11:58):
We’ve all seen it and done it. And I think it’s so key that you mention often it’s from a place of care. Of “I want that student to—look, I called on you; you’re a part of the conversation; you’re a part of our community.” But with it, I brought all of that other information that I think I have about that kiddo. Right? And how I think they’re struggling or navigating the question. And “Here, I’ll help by…” You know? But what I immediately thought of is how much the other students also pick up on that, right?
Lani Horn (12:36):
Of course.
Bethany Lockhart Johnson (12:36):
I remember this time, this student in my class, a student who had struggled on some of the work we were doing, she came up and she shared her work. And then another student kind of like, it was almost like a strange little pat on the back, like, “Look at that! You did it!” And like really said it in a tone of…like, you’re 5, where did that come from?? How had I set up that student to be—I really had to step back and say, “What role have I played in making this student seem like she wasn’t capable of what she had just solved?” It was such a learning moment for me. Because I don’t think teachers do it maliciously, you know, or even consciously.
Lani Horn (13:33):
Absolutely.
Bethany Lockhart Johnson (13:34):
And it was so huge.
Lani Horn (13:36):
Thanks for sharing that, Bethany, wow.
Dan Meyer (13:38):
Even in your description, Lani, you mentioned how the need to keep the class moving to fit, again, a policy that teachers didn’t impose, that we have 45 minutes and way too many standards to cover in that many days…I wanna ask you about growth mindset. It feels like every last teacher on earth has finally got the memo about growth mindset. We all know it’s the good mindset and that the bad one is fixed mindset. And we have the posters. The posters have been distributed. <laugh> A nationwide mobilization.
Bethany Lockhart Johnson (14:07):
I automatically pictured the posters.
Lani Horn (14:09):
<laugh> Of course.
Dan Meyer (14:11):
We’ve got the posters up, people! So we’re good! And now here comes asset orientation, which has some of the similar kinds of happy feelings, good vibes, about teaching and students and learning. So I was just wondering if you could help us kind of differentiate those two kinds of concepts.
Lani Horn (14:28):
I think that an asset orientation is something you’re never done cultivating. I think it’s an ongoing stance that you have to constantly reset and reexamine. And it is recognizing the links to the social categories that students inhabit, the identities that they bring with them, the bodies that they live in, the different abilities and disabilities. And it’s actually a place where, when you really engage this work in a meaningful way, I think it has the potential to make you kind of a better human being. Because you have to constantly say, “Gosh, why did I do that? What is it that my expectation was? Why am I having such a hard time with this particular student, finding something that they’re smart at, something that they’re really good at?” ‘Cause that’s the question. That’s the asset orientation question. You look at your students and you say, “What is it that they are smart about? How are they smart? I understand that school values this; I understand that my assessments value this; but what are they smart at? And how could I bring that into the meaningful work of my classroom?” Which is a very hard question sometimes.
Dan Meyer (16:03):
Yeah. Oh, so many thoughts here. Like one, I just feel like it’s such a value for teachers, for anyone, to have a big, clear, unanswerable-in-your-lifetime question to motivate your work in teaching. If you don’t have that, then the job is too small, basically. So I love that it’s a question that offers ways to dig in every single day. Every interaction is an opportunity, and it will never be answered. That’s wonderful. I love how I just feel like there’s…sometimes we have conversations with Lounge guests, Bethany, where it really gets out of the realm of the school. And it starts to creep on in to the personal life. It starts to creep on in to the spiritual life. And I find, with this sort of idea—the value of a human being—I feel when I have an asset orientation towards my key relationship in my life—my best friends, my spouse, all these things—that that’s an indication to me of a really big and valuable idea. And the question of the difference between growth mindset and asset orientation, I wonder if it’s relevant here that a growth mindset is a concept that was studied and originated by an education psychologist, Carol Dweck, and you are someone who operates with a social-cultural frame that considers more than the student’s mind in the unit of a student, but like what is going on and what are Bethany’s students perceiving in that moment you described, Bethany, that was you and a student, but everyone kind of feels what’s going on. I wonder if that’s a useful differentiator here. Do you have any thoughts about that?
Lani Horn (17:30):
Yes. I do think that the anthropological perspective that I take—where I really look at the cultural sources of these perspectives and these expectations and narratives, I would say, about who can learn math—are really, really important. And they’re part of what sometimes becomes invisible in the classroom. Though those are a really, really important part of the ongoing work of developing an asset orientation. And of course, I come to it from my own personal experience. I was an undergraduate math major. And sometimes by the time I got to my senior seminars, I was the only woman in the room. And you know, I felt that. I felt the stigma of low expectations. I felt the missed opportunities to dig deeper because people were trying to protect me from being wrong and embarrassing myself. And so on. So it’s personal. And of course we see this applying to other social categories as well. We know that the bias is not just against women in math, but people of color, against people with different kinds of abilities, and so on. So I think that that’s why it’s sort of this ongoing personal work. And I think, too, that we will inevitably in the course of committing ourselves to this find students who challenge us, especially in our society right now, the way things are so fractured. You know, what if you have a student in your classroom who holds political views that you find really odious? How do you find a way to engage that student in a way that respects what they do have to offer to your class, while also making sure that the class is a safe place for everybody? I mean, those are really, really complex dynamics to manage. And, you know, I can talk a lot about that too.
Dan Meyer (19:30):
What a job; what a job. Yeah.
Bethany Lockhart Johnson (19:33):
I was really struck, too, because I feel, like Dan said, we’ve gotten the posters. And not to undermine the power of growth mindset—I think it has impacted many, many students and communities—but it sometimes stops there. The conversation stops there. Well, you know, we have a chant we do every day. We have the poster on the wall. My students have a growth mindset. And I think what I really appreciated in your talk, and as I’ve learned about your work, is the invitation to teachers to be vulnerable and to really look at… I do feel like even sharing that story, you put a certain amount of vulnerability of, like, have I failed in some way? But I care about my students. I’m committed to cultivating a safe space. So I guess something I’m really curious about is: what do you think needs to happen or needs to be possible for teachers to further cultivate an asset orientation? Because even the ability to pause and to be reflective, sometimes it doesn’t seem possible. So I think it’s beyond just the teacher, but in the school, the district…what are some things you feel?
Lani Horn (20:49):
Are you letting me be the queen of designing schools? ‘Cause that’s a job I’ve always wanted! <laugh> OK. So if I were the queen of designing schools, teachers would have fewer student contacts.
Bethany Lockhart Johnson (21:04):
Say more.
Lani Horn (21:05):
When I taught high school, I had sometimes…I think the most I got was 180 student contacts a day.
Bethany Lockhart Johnson (21:12):
Wow.
Lani Horn (21:13):
So when you’re looking at 180 kids a day, that is just sort of a capacity issue. How am I supposed to really look meaningfully at each of those individual people and find what’s valuable and strong and smart about each of them? I think that in the U.S., teachers have more instructional time than any other developed country. We need more planning time. Because that’s an opportunity to consult with colleagues. Sometimes when we encounter students where we do have that personal struggle of, “Oh, gosh, I am really having a hard time connecting with you and seeing your strengths,” wouldn’t it be great to be able to go to their last year’s teacher or their English teacher or some other teacher and say, “Can you tell me about your experiences with this student? Because I’m really wanting to connect and I’m having trouble.” And wouldn’t that be wonderful if we had resources to do that? The other thing I would do is I would get rid of a lot of the meaningless accountability, which I have found has only amplified sort of the sorting, and sort of put a technocratic veneer over kids’ deficit thinking about their own selves. Kids get a printout saying that they’re “below basic” and you say, “Hey, that was a really good idea!” And they don’t believe you ’cause they have this printout that puts them in a different category, so there’s no way they could be good at math. So I think we’ve really done a lot of harm in the annual testing of kids in that way. Especially with the individual reporting. And often the metrics we’re using to do that are not designed to be disaggregated to the individual level. So we have a lot of measurement problems. I’m kind of going back to your question before, Dan, about what’s the difference between growth mindset and an asset orientation. I think that sometimes—I don’t think this is the way Carol Dweck intended it, but I think sometimes—and I’ve seen her rebut the way it’s been used in schools—but I think sometimes the way that growth mindset has been used in schools kind of brings it back to an individual problem: “We don’t have unequal funding in our school system! We don’t have systemic racism! We don’t have childhood poverty and malnourishment! It’s just about having the right mindset!” And we know that all of those other things have a huge impact on who engages in school and who’s able to get access to schooling and the formal learning that goes on there. And so there’s a little bit of an erasure that happens in the way that growth mindset has been taken up, and putting the onus back on students and teachers as opposed to going, “Wow, we’re in this system where the cards are stacked a certain way, and I have to somehow navigate that as a teacher and figure out how to hold you up in a system that is trying to push you down.” Which is a really different kind of job than to put a poster on my wall and do a chant in the morning.
Bethany Lockhart Johnson (24:39):
And I’m wondering, if you were looking at how you would hope that asset orientation gets brought into the classroom…it’s not another poster, right? What do you think would really help make some meaningful change around the way we think about that and teachers and systems take that on?
Lani Horn (24:59):
So I think that the important thing is helping teachers develop a vocabulary for recognizing students’ mathematical strengths in particular. Recognizing a strength is not, “Wow, you did really neat work!” or “You have really nice handwriting!” Those are not authentically mathematical strengths, right? So I try to think about—ah, for color theorem, “How cool! What a great way to be systematic!” You know, that being systematic, developing a good representation, asking a good question, asking the next “what if,” all of these are profoundly mathematical ways of thinking. And there’s more—I’m just giving you a few examples—that are not always recognized in classrooms that are built around quick and accurate calculation. Right? When that is the most valued form of smartness, kids who can do all these other great things, like, “Wow, that that is such a clear way of explaining the connection between that graph and that equation! I love it. That helps me see what’s happening every time that variable increases.” You know? I love when kids do that! That’s not quick and accurate calculation, right? One of the most heartbreaking things I’ve seen sometimes is teachers doing a really good job of pumping kids up and helping them feel mathematical and seeing their mathematical strengths in the everyday lessons…but then they get a standard assessment and are told they’re a C student. How do you support the messaging you’re doing in your teaching and in your interactions so that it aligns with assessment? And this is where the sorting mechanism of school kind of inhibits some of the ways that we really should be valuing kids in a way that would support their ongoing learning and their own particular flourishing.
Dan Meyer (26:59):
I love how you describe this whole process as a career-long trajectory, how one does not ever finish creating an asset orientation in oneself. I’m wondering if there is some way for teachers who are listening to start to experience, to enter into that kind of feedback loop, that experience, of what an asset orientation offers them and their students. Do you have some way for us to start digging in here? A challenge, if you will?
Lani Horn (27:24):
Yeah, sure. This is a process I learned from teachers I’ve worked with, so I did not make this up. It’s called a roster check. It’s where you take a roster of one of your classes, and you go through student by student and see if you can specifically name a way that that student is mathematically smart. And it’s a private exercise if you want it to be. And just sort of go through. And then for the students who you really struggle to name how they’re smart, step back and see if there’s some kind of a pattern. And when I’ve done this in PD, as an exercise, I’ve had teachers have some real light-bulb moments where they go, “Oh my gosh, I really don’t know the quiet girls in my classroom,” or “I really don’t know the multilingual learners in my classroom.” So they can sort of start to see a bias in who they’re interacting with and who’s been able to engage in ways that uncover what their unconscious bias might be. And sometimes it’s not unconscious bias. Sometimes it’s not necessarily a category like that. It’s just the kids who are more outspoken, the kids who are high achieving. It doesn’t have to necessarily be linked to an obvious social category. However, I do think that then what you can do with that list of kids who you don’t have a name for their strengths, is you can kind of take a couple of them a week and make that your project to really observe them a little more intentionally and a little more closely. Try mixing things up. Have a chat with them. Say, “Hey, so what do you like to do? What are the things that you like to do in the world? What are your hobbies?” So maybe you can start to get some insight that way. You can talk to other teachers. Most kids have something that they’re passionate about, something that animates them and wakes them up in the morning, and knowing that and finding ways to meaningfully tie that to their mathematical learning can be extremely powerful.
Bethany Lockhart Johnson (29:35):
Lani. I love that idea, taking that time to reflect and allow yourself to be vulnerable as you take a look at your biases and how that’s impacting your classroom space. I have learned so much from our conversation. I know we’re just scratching the surface of the work that you do. So if folks want to learn more, want to continue engaging in these ideas, where can they find you, or where can they find more about your work?
Lani Horn (29:58):
I’m pretty active on Twitter. My handle is @ilana_horn. No “e” on that. And I’ve written a couple of books for teachers. One is called Motivated. Another is called Strength in Numbers. People can check those out.
Bethany Lockhart Johnson (30:17):
I love it. For our listeners, we are thrilled to share this conversation with you, and we wanna hear how you take up this challenge: What do you uncover? What do you notice? What are you learning about an asset orientation? And you can share that by finding us on Twitter at @MTLshow, or you can also continue the conversation with us in our Facebook group, Math Teacher Lounge. We’re so excited to keep learning with you. And thanks for listening.
Lani Horn (30:42):
Bye! Thanks for having me.
Dan Meyer (30:44):
Bye, folks. Thank you.
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Meet the guest
Lani Horn centers her research on ways to make authentic mathematics accessible to students, particularly those who have been historically marginalized by our educational system. Professor Horn focuses primarily on mathematics teaching in two ways. First, Professor Horn looks at classroom practices that engage the most students in high-quality mathematics. Second, Professor Horn views teaching as a contextually-embedded practice – how school environments, communities, colleagues, and policies shape what is instructionally possible. All of this is unified through a pursuit to understand teacher learning as a situative phenomenon. Follow Professor Horn on Twitter.


About Math Teacher Lounge: The podcast
Math Teacher Lounge is a biweekly podcast created specifically for K–12 math educators. In each episode co-hosts Bethany Lockhart Johnson (@lockhartedu) and Dan Meyer (@ddmeyer) chat with guests, taking a deep dive into the math and educational topics you care about.
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