Musings: Mathematical Beauty

photo of child making footprints on the beach

Memories…

We were eclectic homeschoolers back in the Dark Ages before there was an internet. Our primary curriculum was the public library.

As we went along, I noticed how many of our homeschooling friends felt uncomfortable with math, and even hated or feared the subject.

Math anxiety runs rampant in Western culture. By one researcher’s estimate, more than 90% of adults experience some level of math anxiety — that is, discomfort, avoidance, and even emotional pain when faced with a math calculation.

So I became a sort of “math evangelist” in the homeschooling community, spreading the news that we can find beauty and fun even in math.

Continue reading Musings: Mathematical Beauty

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.

     
    * * *

    Are you looking for more creative ways to play math with your kids? Check out all my books, printable activities, and cool mathy merch at Denise Gaskins’ Playful Math Store. Or join my email newsletter.

    This blog is reader-supported. If you’d like to help fund the blog on an on-going basis, then please join me on Patreon for mathy inspiration, tips, and an ever-growing archive of printable activities.

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

    Musings: Math Is a Social Game

    photo of three young girls talking about numbers

    Childhood Memories

    When I was in school, math was something each person did on their own for homework, quizzes or tests.

    Even when the teacher sent us to work on the chalkboard, each person did their own problem. We would never think to collaborate on math.

    To look at someone else’s answer was considered cheating.

    Continue reading Musings: Math Is a Social Game

    Morning Coffee: Anyone Can Learn Math

    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:

    Once again, my rabbit hole started with a thought-provoking blog post from Dan Finkel…

    “Not everyone can become a great artist — but a great artist can come from anywhere.”
    —Ego, from Ratatouille

      “Ego’s parsing of the phrase anyone can cook is not obvious, and it’s not really the primary meaning of the phrase. The truth is, there are really three meanings all wrapped up there: anyone can learn to have the joy and pleasure of cooking in their life, even if they don’t become a master chef. Some people will get serious about it. And the visionaries who change the way we think about the art can come from anywhere — lock them out of the field and we all suffer.”
      —Dan Finkel

      Read more about how anyone can learn math in this third installment of professional development for homeschooling parents.

       
      * * *

      Are you looking for more creative ways to play math with your kids? Check out all my books, printable activities, and cool mathy merch at Denise Gaskins’ Playful Math Store. Or join my email newsletter.

      This blog is reader-supported. If you’d like to help fund the blog on an on-going basis, then please join me on Patreon for mathy inspiration, tips, and an ever-growing archive of printable activities.

      “Morning Coffee: Anyone Can Learn Math” copyright © 2025 by Denise Gaskins. Image at the top of post copyright © Kira auf der Heide / Unsplash.

      Math Journal: Playing with My Own Ignorance

      photo of a girl wondering about math

      Mary Everest Boole, wife of English mathematician George Boole, once described algebra as “thinking logically about the fact of our own ignorance.”

      This definition made me chuckle. Like any human being, I am ignorant on many things, but I usually avoid thinking about that.

      So I wondered what would happen if I took Mrs. Boole’s advice and tried thinking logically about my ignorance.

      How far could I go?

      Perhaps you’d like to try this experiment with your children. All you need is a pen and paper or a whiteboard and markers and a bit of curiosity.

      Math Journaling Adventures series by Denise GaskinsAnd if you enjoy this exploration, check out my Math Journaling Adventures project to discover how playful writing activities can help your students learn mathematics. Preorder your books today!

      Continue reading Math Journal: Playing with My Own Ignorance

      Morning Coffee: When Math Makes You Feel Stupid

      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 newsletter from Dan Finkel, which led me to his blog…

      “Everyone who learns math is familiar with the experience of being stuck on some new idea or problem, banging their head against it, and then, when they finally understand the answer (or having someone tell them), feeling stupid. There’s something fundamental in the nature of mathematics that makes it easy once you get it, and impossible before.

        “These jumps in comprehension can be thrilling, and they’re one reason math is so fun. But they do create a challenge for the student. The evidence that you learned something hard is that you feel like you’re stupid. That stupidity is essential to the process. Students need to know this feeling is the norm when it comes to learning math.”

        —Dan Finkel and Katherine Cook, The centrality of stupidity in mathematics

        Read more about the value of feeling stupid in this second installment of professional development for homeschooling parents.

         
        * * *

        Are you looking for more creative ways to play math with your kids? Check out all my books, printable activities, and cool mathy merch at Denise Gaskins’ Playful Math Store. Or join my email newsletter.

        This blog is reader-supported. If you’d like to help fund the blog on an on-going basis, then please join me on Patreon for mathy inspiration, tips, and an ever-growing archive of printable activities.

        “Morning Coffee: When Math Makes You Feel Stupid” copyright © 2025 by Denise Gaskins. Image at the top of post copyright © Kira auf der Heide / Unsplash.

        Why I Love the Math Journaling Adventures Series

        Mother and daughter doing homework outdoors

        Math Journaling Adventures series by Denise GaskinsMy Math Journaling Adventures Series is now available on Kickstarter.

        I love these books!

        Writing is one of the best ways to learn math deeply, because wrestling our thoughts into words forces us to figure out what we really believe.

        It’s the natural, no-stress way to build our children’s understanding and confidence.

        Hit the button to visit the campaign and order your books:

        Math Journaling Adventures Kickstarter ❯

        Continue reading Why I Love the Math Journaling Adventures Series

        Math Journaling Adventures Launched: Order Your Copy Today

        Math Journaling Adventures: Creative Logbooks for All Ages

        And so it begins: the Math Journaling Adventures is LIVE on Kickstarter!

        Check It Out ❯

        ⭐ Don’t delay! First-day backers get the best deals. Choose one of the Earlybird rewards:

        • Earlybird 2-Logbook Sets in Digital, Paperback, Spiral-Bound, or Hardcover
        • Earlybird Everything Bundles in Digital or Paperback

        To have a successful campaign, we need plenty of people to back the project early. The more supporters we get in these early days, the more likely the Kickstarter platform folks will help spread the news for us.

        Continue reading Math Journaling Adventures Launched: Order Your Copy Today