Math Journal: The 1-2-3 Puzzle

colorful numbers 1, 2, 3

Math Journaling Adventures series by Denise GaskinsThere’s still time to check out my Math Journaling Adventures project and discover how playful writing activities will help your students learn mathematics. Preorder your books today!

Meanwhile, here’s a math puzzle to share with your kids…

Write down any whole number. It can be a single-digit number, or as big as you like. For example:

64,861,287,124,425,928

Now, count up the number of even digits (including zeros), the number of odd digits, and the total number of digits your number contains. Write those counted numbers down in order, like this:

64,861,287,124,425,928
even 12, odd 5, total 17

Continue reading Math Journal: The 1-2-3 Puzzle

Only Two Days Left for Math Journaling Adventures

Math Journaling Adventures series by Denise Gaskins
  • If you’re a parent trying to help your child learn math…
  • Or a teacher looking for creative ideas for your classroom…
  • Or a homeschooling parent hoping to enrich your student’s understanding…

Then you’ll love the Math Journaling Adventures series because these logbooks guide your children to explore mathematics at a deeper level, building a strong foundation to support future learning.

It’s a fun way to enrich any math curriculum, and great for unschoolers, too.

But you have to ACT FAST: The Kickstarter campaign ends in 2 days!

Order Your Copy Today ❯

Continue reading Only Two Days Left for Math Journaling Adventures

Math Journal: Three Quick Number Games

photo of family playing a dice game

Math Journaling Adventures Kickstarter projectHere are three quick math games you can fit in whenever you have a few minutes’ free time. Have fun playing math with your kids!

And if you enjoy these games, check out my Math Journaling Adventures project to discover how similar playful writing activities can help your students learn mathematics. Preorder your books today!

Continue reading Math Journal: Three Quick Number Games

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

    Playful Math 179: Our Sweet Sixteen Carnival

    Welcome to the sweet-16 birthday edition of the Playful Math Carnival. Originally called Math Teachers at Play, our first carnival was published in February 2009.

    Each Playful Math Carnival offers a smorgasbord of delectable tidbits of mathy fun. It’s like a free online magazine devoted to learning, teaching, and playing around with math from preschool to high school.

    There’s so much playful math to enjoy!

    By tradition, we start the carnival with a math activity in honor of our 179th edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

    NOTE: Our wonderful volunteer hosts have kept the Playful Math Carnival going when so many other blog carnivals died off. If you’d like to sign up to host the carnival for a month, email Denise for information.

    Try These Prime Puzzles

    Did you know there are 179 even-numbered days this year?

    • How many even-numbered days will there be in a leap year?
    • But there are 365 days in a standard year and 366 in a leap year. Shouldn’t there be half that many even-numbered days?

    179 is a prime number, and it’s also a knockout prime. You can knock out any of the digits, and what’s left is still prime: 17, 19, or 79.

    • Can you find another knockout prime number?

    179 is a twin prime. That means that one of its odd-numbered neighbors is also prime.

    • Is the other twin 177 or 181? Can you tell without looking it up?
    • Why are twin primes limited to the odd numbers? That doesn’t seem fair!

    179 is also an emirp. That’s a special kind of prime that forms a different prime number when you write it backwards: 971 is also prime.

    • How many emirps can you find?

    “A palindrome is a word that when written in reverse results in the same word. for example, ‘racecar’ reversed is still ‘racecar’. Related to palindromes are semordnilaps. These are words that when written in reverse result in a distinct valid word. For example, ‘stressed’ written in reverse is ‘desserts’. Not all words are palindromes or semordnilaps.

      “While certainly not all numbers are palindromes, all non-palindromic numbers when written in reverse will form semordnilaps.

        “Narrowing to primes brings back the same trichotomy as with words: some numbers are emirps, some numbers are palindromic primes, but some are neither.”

        The On-Line Encyclopedia of Integer Sequences A006567

        Click here for all the mathy goodness!

        Morning Coffee: Professional Development for Homeschooling Parents and Other Teachers

        Morning Coffee Lifelong Learning for Parents

        Lately, I’ve spent most of my writing time thinking about the value of narration—the Charlotte Mason approach to teaching by getting kids to put ideas in their own words.

        For students, I’m writing a new series of Math Adventure Journals to get them thinking about math and putting those thoughts into words. If you’re interested, sign up to be notified when the Kickstarter goes live.

        But we parents can harness the value of narration in our own learning. After all, one of the best ways we can help our children learn mathematics (or anything else) is to be lifelong learners ourselves.

        To that end, I’ve decided to relaunch my “Morning Coffee” series of professional development posts for homeschooling parents.

        Here’s How It Works

        As I read articles and follow rabbit trails around the internet, I’ll collect the posts that speak to me. Then I’ll share these in a printable format with journaling pages for your response.

        Since I’m interested in math education, many of the articles I read will be about math—but the principles of learning apply to every subject we teach.

        To kick off the series, let’s start with one of my favorite articles ever…

        Morning Coffee # 1: Learning to Ask Good Questions

        Download your printable Morning Coffee journal

        David Butler’s post Twelve matchsticks: focus or funnel presents an interesting math puzzle. But even better, it opens up a rabbit hole of thought-provoking posts about how to talk with children—or anyone:

          “The approach where you have an idea in your head of how it should be done and you try to get the student to fill in the blanks is called funnelling. It’s actually a rather unpleasant experience as a student to be funnelled by a teacher. You don’t know what the teacher is getting at, and often you feel like there is a key piece of information they are withholding from you, and when it comes, the punchline feels rather flat.”

          The printable file includes links to three more articles as I follow the rabbit around the internet. Enjoy!

           
          * * *

          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: Professional Development for Homeschooling Parents and Other Teachers” copyright © 2025 by Denise Gaskins. Image at the top of post copyright © Kira auf der Heide / Unsplash.