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Homeschooling? Check Out These Math Goodies

How to Homeschool Math: A long page full of my best tips on homeschooling math in a low-stress, creative, playful way. No matter which curriculum you use—unschoolers, too!

Get my email series “8 Weeks of Playful Math” plus regular activity ideas and other updates when you join my email newsletter.

My Let’s Play Math Sampler ebook contains short excerpts from my most popular books. You can get it for free!

Math Game Monday: How Close to 100?

math game how close to 100

This game reinforces the most important model for understanding numerical and algebraic multiplication.

Many parents remember struggling to learn math. We hope to provide a better experience for our children. And one of the best ways for children to enjoy learning is through hands-on play.

So what are you waiting for? Let’s play some math!

How Close to 100?

Math Concepts: area model for multiplication.

Players: two or three.

Equipment: blank hundred chart or graph paper, two six-sided dice, pencil or marker.

Continue reading Math Game Monday: How Close to 100?

Thinking Thursday: Digit Sums

Thinking Thursday math journal prompt

Writing to Learn Math: People learn math by playing with ideas. A math journal can be like a science lab book.

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: Digit Sums

If Not Methods: Reasoning About Subtraction

Father and son reasoning about subtraction

We’ve been examining the fact that, while there may be only one right answer to a math problem, but there’s never only one right way to get that answer.

What matters in math is the journey. How do your children make sense of the problem and reason their way to that answer?

As always, real math is not about the answers but the thinking.

But if we don’t want to give our children a method, how can we teach? What if we pose a problem and the child doesn’t know how to solve it?

What if our children get stumped on a subtraction calculation like 431 – 86?

Continue reading If Not Methods: Reasoning About Subtraction

Spring Sale on Let’s Play Math

Let's Play Math book by Denise Gaskins

Spring 2024 Sale: Save 20% off Let’s Play Math: How Families Can Learn Math Together and Enjoy It in ebook or paperback!

Shop Now ❱

As school wraps up for the year in the U.S., many homeschoolers turn their minds to planning for next fall. That makes spring a great time to discover how to transform your child’s experience of math through playful discovery!

Continue reading Spring Sale on Let’s Play Math

Math Game Monday: Push the Penny

Math game push the penny

Many parents remember struggling to learn math. We hope to provide a better experience for our children.

And one of the best ways for children to enjoy learning is through hands-on play.

This game offers young children a chance to practice counting and early addition skills while racing to beat their parents.

Push the Penny

Math Concepts: addition to one hundred, thinking ahead.

Players: two or more.

Equipment: playing cards (remove face cards and jokers), a hundred chart, and a penny or other small token.

Continue reading Math Game Monday: Push the Penny

Podcast: How to Transform Math Lessons without Changing your Curriculum

Homeschooling math together - photo

I have a new podcast interview, and I think you’ll enjoy it!

Check out Pam Barnhill’s 10 Minutes to a Better Homeschool on your favorite podcast app, or listen on the website:

Go to the podcast ❱

Here’s a couple of excerpts…

Continue reading Podcast: How to Transform Math Lessons without Changing your Curriculum

Thinking Thursday: Strange Customers

Thinking Thursday math journal prompt

Writing to Learn Math: Problem-solving cares less about whether an answer is right and more about whether a solution makes sense.

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: Strange Customers

Musings: If Not Methods, Then What?

Last week, I quoted Pam Harris calling out a foundational myth of math education, the idea that we need to teach kids the methods that work on even the most difficult math problems.

“We have a misconception in math education that we think we need to teach methods so that kids can answer the craziest kind of a particular problem.

    “We would be far better served to teach kids to think about the most common kinds of questions WELL, and let technology handle the crankiest.”

    —Pam Harris

    Since many of us grew up in schools that taught these methods, they may feel like the only sensible approach to math. Without the standard procedures, how will our kids learn to do math?

    If we don’t teach subtraction with borrowing/renaming, how can students figure out calculations like 431 − 86? If we don’t teach fraction rules, how will they handle problems like 1 1/2 ÷ 3/8?

    Continue reading Musings: If Not Methods, Then What?

    Celebrating Spring with Playful Math Carnival 172

    Playful Math Carnival 172

    Welcome to the 172nd edition of the Playful Math Blog Carnival, a buffet 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.

    The carnival went on hiatus for a couple of months due to unexpected life issues facing our volunteer hosts. But we’re back now, and ready to celebrate!

    By tradition, we start the carnival with a puzzle in honor of our 172nd edition. But if you’d rather jump straight to our featured blog posts, click here for the Table of Contents.

    Try This: Lazy Caterers and Clock-Binary Numbers

    172 is a lazy caterer number: Imaging a caterer who brought a single large pie to serve the whole party. He needs to cut it into as many pieces as he can, using the fewest (straight) cuts he can get away with.

    • If each guest gets one piece of pie, what sizes of parties (numbers of people) can the lazy caterer serve?
    • Can you find a pattern in the lazy caterer sequence?

    But for those of you who have followed the carnival for years, you may remember we played with the lazy caterer back in Playful Math 106. (That time, the caterer was serving pizza.) So here’s a bonus activity we’ve never done before…

    The first several stages of a pattern are as follows:

    Clock Binary pattern image

    • What do you notice about this pattern of shapes?
    • What is the next shape in the sequence?
    • Can you figure out how the shape below fits into the pattern?

    Clock Binary puzzle image

    This pattern sequence was named clock binary by its creator, noelements-setempty.

    • What questions can you ask about this sequence?
    • How are these shapes like the binary numbers?
    • How are they different?

    Click here for all the mathy goodness!

    Math Game Monday: The Partitions Game

    The Partitions math game

    Many parents remember struggling to learn math. We hope to provide a better experience for our children.

    And one of the best ways for children to enjoy learning is through hands-on play.

    This game features the Cuisenaire rods, but you may play with any math manipulative based on length: Montessori bead chains, Mortensen or Math-U-See blocks, etc. Or draw pictures on graph paper.

    The Partitions Game

    Math Concepts: partitions, part/whole, addition, multiplication, algebra.

    Players: two or more.

    Equipment: Cuisenaire rods (or other math manipulatives) or graph paper, pencil and paper (optional).

    Continue reading Math Game Monday: The Partitions Game