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Jo Boaler: How to Learn Math | Lex Fridman Podcast #226

Jo Boaler is a professor of mathematics education at Stanford and the co-founder of youcubed. Please support this podcast by checking out our sponsors: - Truebill: https://truebill.com/lex - Fundrise: https://fundrise.com/lex - ExpressVPN: https://expressvpn.com/lexpod and use code LexPod to get 3 months free - Indeed: https://indeed.com/lex to get $75 credit - Stamps.com: https://stamps.com and use code LEX to get free postage & scale EPISODE LINKS: Jo's Twitter: https://twitter.com/joboaler youcubed: https://www.youcubed.org/ Jo's Books: https://amzn.to/2Y3S2xW Elastic by Leonard Mlodinow: https://amz.run/4tCk Deep Work by Cal Newport: https://amz.run/4tCl 3Blue1Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw Manim: https://github.com/3b1b/manim PODCAST INFO: Podcast website: https://lexfridman.com/podcast Apple Podcasts: https://apple.co/2lwqZIr Spotify: https://spoti.fi/2nEwCF8 RSS: https://lexfridman.com/feed/podcast/ Full episodes playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 Clips playlist: https://www.youtube.com/playlist?list=PLrAXtmErZgOeciFP3CBCIEElOJeitOr41 OUTLINE: 0:00 - Introduction 0:23 - What is beautiful about mathematics? 9:12 - How difficult should math really be? 17:31 - Students giving up on math 28:52 - Improving math education in schools 38:49 - Inspiring mathematical creativity 56:35 - youcubed 1:00:55 - Best methods for studying math 1:21:29 - Advice for young people SOCIAL: - Twitter: https://twitter.com/lexfridman - LinkedIn: https://www.linkedin.com/in/lexfridman - Facebook: https://www.facebook.com/lexfridman - Instagram: https://www.instagram.com/lexfridman - Medium: https://medium.com/@lexfridman - Reddit: https://reddit.com/r/lexfridman - Support on Patreon: https://www.patreon.com/lexfridman

Lex FridmanhostJo Boalerguest
Sep 27, 20211h 30mWatch on YouTube ↗

CHAPTERS

  1. 0:00 – 9:12

    Math as a creative, multi-solution art form (visual thinking & intuition)

    Jo Boaler frames the beauty of mathematics as creativity: multiple solution paths, multiple representations, and the freedom to see structure in different ways. She and Lex connect visualization, storytelling, and intuition to how experts (e.g., physicists) build deep understanding beyond executing algorithms.

    • Math is not “one method, one answer” but many ways of seeing and solving
    • Any math topic can be made visual; visualization should be central, not optional
    • Neuroscience supports multidimensional math experiences (visual, symbolic, verbal, physical)
    • Intuition often precedes formal proof; proof can take much longer than insight
    • Color-coding and representation choices can unlock understanding for learners/teachers
  2. 9:12 – 10:25

    Should math be hard? Productive struggle vs. the 'math brain' myth

    They discuss difficulty as an essential part of learning—struggle can be good for brain growth. The real danger is when students interpret struggle as evidence they “don’t have a math brain,” leading them to shut down.

    • Challenge is valuable when students believe they can succeed
    • Fixed mindset (“born with a math brain or not”) makes struggle feel like failure
    • Students often disengage the moment they label themselves as non-math people
    • Struggle is reframed as a positive signal of learning and brain change
  3. 10:25 – 17:29

    Different brains, inclusive access, and lessons from Soviet-style excellence

    Lex raises the question of individual differences in learning; Jo argues that opening math up in multiple modalities makes it accessible to more learners. They contrast US messages that sort students into “can/can’t” with a Soviet emphasis on excellence through effort—while noting the need for good teaching, not blame.

    • Teachers face diverse learners; single-method instruction excludes many students
    • Multidimensional teaching reduces barriers created by different learning styles/wirings
    • Soviet culture: excellence + hard work; US often implies innate ability separates students
    • Downside of effort-only narratives: blaming students instead of improving teaching
    • Intense, engaging math experiences (e.g., long camp sessions) can sustain attention
  4. 17:29 – 25:26

    When students give up: the pivotal middle-school years and the power of belief

    Jo identifies around 5th grade through middle school as a critical period when many students decide math “isn’t for me,” often due to tests and grading pressures. They explore the teacher’s role in shaping identity, including evidence that small messages of belief can change long-term outcomes.

    • Many students start giving up around 5th grade; middle school is pivotal for STEM identity
    • Shift to more tests/grades can damage confidence and curiosity
    • A single supportive teacher can permanently change a student’s relationship with math
    • Study: adding “I’m giving you this feedback because I believe in you” improved outcomes a year later
    • School systems often reward memorization and speed over deep, creative thinking
  5. 25:26 – 28:52

    Parents, math anxiety, and breaking generational messaging

    They discuss how parents’ math anxiety can transfer to children—especially when helping with homework. Jo offers practical guidance: avoid negative self-talk, model optimism, and use parent resources to support math in healthy ways.

    • Parent math anxiety predicts child achievement when parents help with homework
    • Negative statements (“I was bad at math”) can lower children’s performance, especially for girls
    • Advice: if anxious, avoid homework-help or change approach; ‘fake’ positive attitudes
    • Many adults still view math as memorizing one method—hard to shift without new experiences
    • Youcubed provides parent guides and strategies for supportive math interactions
  6. 28:52 – 32:53

    Rebuilding school math: 'Teaching to Big Ideas' and moving beyond standards checklists

    Jo critiques how standards get translated into narrow textbook exercises that fracture conceptual connections. She describes California’s emerging framework emphasizing big ideas, rich tasks, and conceptual networks rather than long lists of procedural micro-standards.

    • Standards + textbooks often turn math into disconnected procedural fragments
    • Example: overly granular standards (e.g., ‘unit squares’) drive uninspiring questions
    • Alternative: map math as big ideas with connections (a conceptual network)
    • Design lessons around rich, deep activities that naturally integrate multiple concepts
    • Goal: help teachers and students see relationships across topics, not isolated skills
  7. 32:53 – 38:43

    Rethinking assessment: performance culture, grades, and better feedback loops

    Jo argues constant grading creates a performance culture that undermines deep learning. She recommends more formative approaches like rubrics, self-assessment, and descriptive feedback, reserving grades for truly summative moments.

    • Frequent grades/tests promote performance anxiety and shallow learning
    • Online gradebooks can intensify constant evaluation and comparison
    • Use rubrics to show learning trajectories and provide actionable next steps
    • Encourage student self-assessment and reflection instead of letter labels
    • Grades can be acceptable as end-of-course summaries, not daily measures
  8. 38:43 – 41:09

    Capturing curiosity early: groupitizing dots and valuing multiple perspectives

    Jo shares a simple first-day activity—briefly showing seven dots and asking students to group them without counting—to demonstrate that math welcomes diverse thinking. The activity illustrates how visual structuring predicts math success better than speeded fact tests.

    • Dot-image prompt reveals many legitimate ways to “see” the same quantity
    • ‘Groupitizing’ (structuring into groups) is linked to later math achievement
    • Demonstrates classroom norms: multiple strategies are valued, not just correctness
    • Challenges the idea that speed tests are the best measure of mathematical ability
    • Works across ages—from young children to graduate students
  9. 41:09 – 49:04

    Creativity, flexibility, and collaboration: preparing minds for the 21st century

    Jo argues schools overemphasize procedures computers can do, instead of developing elastic, creative problem-solvers. They highlight collaboration as a learnable skill and discuss a Stanford calculus experiment where students learned to collaborate and improved performance.

    • Modern world demands flexible, creative minds more than rote procedures
    • Math and creativity belong together: seeing problems in varied ways
    • Collaboration builds thinking; students must learn to value others’ perspectives
    • Stanford case: initial collaboration failed due to comparison/ego; training improved outcomes
    • Good collaboration requires listening, curiosity, and letting go of social comparison
  10. 49:04 – 54:25

    Textbooks vs. modern materials: what matters is task quality and student agency

    Lex defends textbooks as structured progress; Jo agrees textbooks can work if the content supports rich thinking. They critique rigid day-by-day exercise marching and discuss how US topic separation (e.g., year-long algebra) can narrow experiences compared to integrated approaches.

    • Textbooks can provide structure, but often enforce rigid, uninspiring routines
    • Students may feel constrained by ‘follow the book’ cultures
    • Quality of tasks matters more than format (book vs. handout vs. digital)
    • US often isolates algebra/geometry more than other countries, reducing variety
    • Language note: ‘maths’ reflects multidimensionality; ‘do the math’ reduces it to calculation
  11. 54:25 – 56:33

    Online learning, MOOCs, and how Youcubed was born

    Jo describes how online courses can scale great teaching—if they include active pedagogy rather than long lectures. Her early MOOC for teachers reached tens of thousands and led to founding Youcubed as a way to translate research into practical classroom resources.

    • Online education scales access, but many MOOCs are passive ‘talking head’ formats
    • Udacity-style pacing: short segments + immediate activity improves engagement
    • Jo’s first free MOOC drew ~30,000 teachers and sparked demand for ‘what next’
    • Youcubed created to make research-based best practices accessible and usable
    • Mission includes reducing math anxiety and showcasing math as creative and visual
  12. 56:33 – 1:00:56

    Inside Youcubed: Week of Inspirational Math, curriculum resources, and scaling constraints

    They explore Youcubed’s resources and impact, including massive adoption of the Week of Inspirational Math. Jo shares the challenge of producing enough high-quality tasks for every day of the year and describes complementary K–8 books built around big ideas and rich activities.

    • Youcubed: lessons, videos, teacher tools, and parent guidance; 52M+ site visitors
    • Week of Inspirational Math: try a week; teachers report ‘lights on’ vs. textbook ‘lights out’
    • Bridges the gap between academic research and classroom practice (no paywalls, accessible)
    • K–8 books organized by big ideas and rich tasks; often used as supplements
    • Goal: every math teacher knows Youcubed; challenge is production capacity
  13. 1:00:56 – 1:21:30

    How to study math: retrieval practice, reflection, deep work, and not giving up

    Jo advises students to study by actively testing themselves and generating questions rather than rereading explanations. They discuss reflective homework prompts, building focus as a skill, and the alarming reality that many students quit after two minutes of struggle.

    • Rereading feels like understanding; real learning comes from doing problems and self-quizzing
    • Ask ‘big idea’ reflection questions: what was learned, what was hard, why it matters
    • Deep problems cultivate flow and sustained attention; most students rarely experience this
    • Focus is trainable like a muscle; prolonged attention enables rewarding breakthroughs
    • Survey: students give up on average after ~2 minutes—persistence must be taught
  14. 1:21:30 – 1:30:40

    The future of education: data science, dissolving subject boundaries, and belief in limitless learning

    Jo closes with advice centered on self-belief and finding people who support your growth. She expresses optimism about education evolving—highlighting high-school data science adoption as a sign of real curricular change and envisioning more creative, integrated, technology-enabled learning environments.

    • Advice: believe you can learn anything; research struggles to find limits on learning
    • Seek mentors and communities that believe in you; distance from limiting voices
    • Education change is slow but real—data science now accepted as a math pathway in many states
    • Factory-model schooling may give way to more creative, learner-driven, tech-integrated systems
    • Future may reduce rigid subject boundaries as interdisciplinary domains grow

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