(**) Learning 101

Topic outline

• General

  Collapse all Expand all

• You Can Learn Anything

  Learning Rules

  One Rule to Rule Them All

  Spend the majority of your time on tasks barely beyond your current level of mastery.

  Other rules

  1. Test yourself frequently.
  2. Make an inventory of the skills you need to know. Make sure you can distinguish similar-looking problems that have totally different solutions.
  3. Elaborate whatever you haven't mastered yet. Communicate, represent, teach. Include concrete examples.

  • Get Organized

    • Organizing Your Math Things - Keep your stuff organized
    • Using a Calendar - Keep your time commitments organized

    
    

    Leveling Up Your Brain

    • You Can Grow Your Brain
    • How to Grow Your Brain
      • Learning Scientists - List and describe the main strategies. How would each apply to math? How would each apply to your other courses?
      • How We Learn vs How We Think We Learn. A research-oriented YouTube video. https://www.youtube.com/watch?v=oxZzoVp5jmI

• You Can Learn Math - Mindset
  • • Four Key Messages
      • Video
      • Worksheet
    • Article: 
      • You Can Grow Your Intelligence
      • Question: Many "growth mindset" interventions in schools have been disappointing. [Optional reading: "A Mindset 'Revolution'".] Write down as many possible reasons. Note form is acceptable.

• You Can Learn Math - Resources
  • Calculators Online

    • Desmos Graphing Calculator
    • Desmos Scientific Calculator
    • Symbolab
    • Wolfram Alpha

     

    Calculators Physical

    • Scientific: Casio FX-991ESPLUS2 . Excellent, user-friendly, affordable.
    • Graphing: Casio FX-9750GII. Though not particularly great, it's far better than the abominably overpriced no-innovation-for-decades-because-they-have-a-monopoly Luciferian tool (aka TI-83 or TI-84). Your best bet? Ask your teacher if you can use a free graphing calculator online instead. (See Desmos above.)

    
    
    

    Assessments

    • Elementary Arithmetic Concept Inventory
    • Arithmetic Concept Inventory
    • Algebraic Concept Inventory
    • Year-End Review Meeeting

     

     

    Math Paper

    These are all formatted 2 pages of each type. So print double-sided to save paper!

    • Variety of Grid Paper
    • 1cm Grid Paper
    • 1cm Dot Paper
    • Isometric Dot Paper

     

     

• You Can Learn Math - Methods
  • Studying On Your own

     

    • Frayer Models - How to Study Vocabulary
    • Example, Elaboration, Exercise
      • What it should look like
      • Landscape (horizontal)
      • Portrait (vertical)
    • How to Do Routine Homework
    • Unit Study Guides
    • Tracy Zager's Thinking Questions
    • 
    • Source: https://x.com/Carousel_Learn/status/1796483620988997637

     

• You Can Learn to Teach Math
  •  

    Math Resources

    • Craig Barton - Perhaps the most practical implementations of research in math education I've ever seen.
    • Dan Meyer Blog - How to drive up math curiosity and meaningful thinking?
    • Peter Liljedahl - Math Education Professor at Simon Fraser University
    • YouCubed - Jo Boaler's math education website. Viva la revolución! [Even if I don't agree with everything she says.]
    • Which One Doesn't Belong?
    • Jo Boaler's 4 Boosting Messages - Can you guess which one I partially disagree with?
    • Reddit Compilation
    • Khan Academy homepage - Make an account then and sign up for the Bravo Math class, code: Q4MC2H.
    • PatrickJMT - Great videos for procedures, but not as strong on concepts.

     

    Math Facts

    • Math Fact Automaticity - Why kids MUST master their math facts and how to help them do it in a fun way.
    • Rocket Math - A carefully refined math facts fluency program that my kids enjoy so much they ask for it. Advice: Follow the instructions carefully! Years of experience, testing, and iteration have gone into those instructions.
    • Spaceship Math Worksheets - A free alternative to Rocket Math. It has far fewer features, but still offers incremental practice of a 1 or 2 equations at a time. It follows many of the recommendations of the link above.
    • Reflex Math - Paid, online games for math fact fluency.

     

     

    JUMP Math

    • Homepage
    • YouTube channel
    • New York Times article - Part I
    • New York Times article - Part II
    • The Myth of Ability - Book on Amazon
    • The End of Ignorance - Book on Amazon

     

     

    Learning About Learning

    • Daniel Willingham. My favorite cognitive scientist. Definitely read his book "Why Don't Students Like School?"
    • The Learning Scientists
    • Peak: The Science of Expertise
    • How We Learn vs How We Think We Learn
    • How do you teach science by video? Clarity, fluency, confidence? Think again.

     

    Test Video Section