Thinking Thursday: Payday Puzzle

Thinking Thursday math journal prompt

Writing to Learn Math: Math journal explanations avoid the formality that turns so many students away from geometry proofs.

Do you want your children to develop the ability to reason creatively and figure out things on their own?

Help kids practice slowing down and taking the time to fully comprehend a math topic or problem-solving situation with these classic tools of learning: Notice. Wonder. Create.

Continue reading Thinking Thursday: Payday Puzzle

Thinking Thursday: Half Plus Three

Thinking Thursday math journal prompt

Writing to Learn Math: When students create their own math, they forge a personal connection to mathematical concepts and relationships. And it’s fun!

Do you want your children to develop the ability to reason creatively and figure out things on their own?

Help kids practice slowing down and taking the time to fully comprehend a math topic or problem-solving situation with these classic tools of learning: Notice. Wonder. Create.

Continue reading Thinking Thursday: Half Plus Three

Thinking Thursday: John Allen Paulos

Thinking Thursday math journal prompt

Writing to Learn Math: What did the author mean? Put the thought in your own words. Do you agree or disagree? Why?

Do you want your children to develop the ability to reason creatively and figure out things on their own?

Help kids practice slowing down and taking the time to fully comprehend a math topic or problem-solving situation with these classic tools of learning: Notice. Wonder. Create.

Continue reading Thinking Thursday: John Allen Paulos

FAQ: The Value of Math Rebellion

Math Rebels fight for truth, justice, and creative reasoning

I’ve been getting questions about my Math Journaling Adventures books:

“I’m so excited to try math journaling! We bought your Logbook Alpha, and my 11-year-old math-averse son is trying to be a math rebel at every turn.

    “But I feel uncomfortable with the idea of rebellion. Doesn’t he need to learn how to solve math problems the right way?”

    One of my favorite things about math is that there really is no “right” way to solve math problems.

    As I pointed out in my ongoing Mental Math series, even a problem as basic as 6+8 can be approached from many directions. So perhaps I should say, the “right” way is however the student wants to make sense of the problem.

    In math, sense-making and reasoning are always the most important things.

    Continue reading FAQ: The Value of Math Rebellion

    Thinking Thursday: Fibonacci Growth

    Thinking Thursday math journal prompt

    Writing to Learn Math: Number play doesn’t have to follow school math methods.

    Do you want your children to develop the ability to reason creatively and figure out things on their own?

    Help kids practice slowing down and taking the time to fully comprehend a math topic or problem-solving situation with these classic tools of learning: Notice. Wonder. Create.

    Continue reading Thinking Thursday: Fibonacci Growth

    Thinking Thursday: Dear Younger Me

    Thinking Thursday math journal prompt

    Writing to Learn Math: Writing helps students stretch their thinking and make sense of new ideas.

    Do you want your children to develop the ability to reason creatively and figure out things on their own?

    Help kids practice slowing down and taking the time to fully comprehend a math topic or problem-solving situation with these classic tools of learning: Notice. Wonder. Create.

    Continue reading Thinking Thursday: Dear Younger Me

    FAQ: Playful Math Journaling

    Girl student thinking about her math journal prompt

    Ever since the school year started, I’ve been getting questions about how to use my new Math Journaling Adventures logbooks.

    [SIDE NOTE: These logbooks are included in this month’s Thanksgiving Sale! You’ll get an automatic 10% discount off all print books, applied at checkout, no special code required.]

    “I love the way your math books get my children thinking.

      “Finally, they are having fun with math!

        “But sometimes I have no idea what the journaling prompt is all about or how to teach it. Where can I buy a solutions manual?”

        Um, that’s not how math journals work.

        The cool thing about journaling prompts is that they have no “right” answer. They are explorations into different parts of the world of math, nature walks in the land of numbers, shapes, and patterns. Springboards into whatever our children want to investigate, whatever sparks their interest.

        A few of the problem-solving prompts may have specific answers, but it really doesn’t matter if our kids find the exact solution a math professional might give. If they write what makes sense to them, they’ve accomplished the goal.

        If later, they think of something they hadn’t noticed, or they want to change their answer — well, that is mathematical thinking, too.

        Continue reading FAQ: Playful Math Journaling

        Thinking Thursday: Painting Blocks

        Thinking Thursday math journal prompt

        Writing to Learn Math: At its heart, geometry is all about seeing connections and relationships.

        Do you want your children to develop the ability to reason creatively and figure out things on their own?

        Help kids practice slowing down and taking the time to fully comprehend a math topic or problem-solving situation with these classic tools of learning: Notice. Wonder. Create.

        Continue reading Thinking Thursday: Painting Blocks

        Happy Pythagorean Triple Day!

        Pythagorean Theorem demonstrated with tangrams

        Thursday is Pythagorean Triple Day, one of the rarest math holidays.

        The numbers of Thursday’s date: 7/24/25 or 24/7/25, fit the pattern of the Pythagorean Theorem: 7 squared + 24 squared = 25 squared.

        Any three numbers that fit the a2 + b2 = c2 pattern form a Pythagorean Triple.

        Continue reading Happy Pythagorean Triple Day!

        Morning Coffee: What Is Mathematics?

        Morning Coffee Lifelong Learning for Parents

        One of the best ways we can help our children learn mathematics (or anything else) is to be lifelong learners ourselves.

        Here are a few stories to read as you sip your morning brew. . .

        Download your printable Morning Coffee journal

        This week’s rabbit hole started with a thought-provoking blog post by Sara Van Der Werf…

        “We are all mathematicians. We all have the power to notice, describe, and generalize patterns. You have all had this ability since birth.

          “If we believe this then every day we must plan lessons that allow students to act as mathematicians. We must put something in front of our students to notice. We must put something in front of our students to describe, to generalize.”

          —Sara Van Der Werf

          Read more about how to develop mathematical thinking in this fourth installment of professional development for homeschooling parents.

           
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          “Morning Coffee: What Is Mathematics?” copyright © 2025 by Denise Gaskins. Image at the top of post copyright © Kira auf der Heide / Unsplash.