Notice, Wonder, Create

Many homeschooling parents dream of a mathematical magic bullet — a game, app, or book that will help their children learn math and enjoy it.

As in life, so also in math, there is no magic solution.

Do you want your children to learn math and enjoy it? Teach them to be Math Makers.

When they create their own math, students build deep, personal connections to math concepts. They think about the relationships between numbers, shapes, and patterns. Math becomes personal.

Toys, hobbies, favorite stories — all can be fodder for math creation.

Where Do Math Makers Get Ideas?

Let the child choose something to think about.

Make an “I Notice” list. How does that item relate to math? What patterns or shapes can you see?

Or how would the story characters use numbers in their daily lives? Would they cook, or go shopping? Might they build something? Would they decorate it with a design? What would they count or measure?

Make an “I Wonder” list. How many different ways might you turn the things you noticed into questions? What else might you ask?

Then turn one of your noticings or wonderings into a math story, poem, puzzle, drawing, or game. Create your own math. Share your creation with family and friends.

Now Get Published

Join the Student Math Makers team. We’d love to add your math creation to our collection and share it with viewers all around the world!

Download a Math Makers Invitation and Submission Form below:

CREDITS: Feature photo (top) by MI PHAM via Unsplash.com.

New! Your Student Can Be a Math Maker

When children create their own math, they build a deep understanding of mathematical concepts and relationships.

And it’s fun!

So take a break from your normal math program to play with creative math. Students can:

Check Out the Gallery

We have a few entries already in the Student Math Makers Gallery.

Click Here To Visit the Gallery

Join the Student Math Makers

We’d love to add your students’ math to our collection and share it with viewers all around the world!

To submit a math creation, download a Math Makers Invitation and Submission Form below:

CREDITS: “Creating Math Puzzles by Sian Zelbo, the author of Camp Logic, via NaturalMath.com.

Prealgebra & Geometry Games Now Available

Publication Day!

Prealgebra & Geometry: Math Games for Middle School hits the online bookstores today.

Check Your Favorite Store

You can prepare your children for high school math by playing with positive and negative integers, number properties, mixed operations, algebraic functions, coordinate geometry, and more. Prealgebra & Geometry features 41 kid-tested games, offering a variety of challenges for students in 4–9th grades and beyond.

A true understanding of mathematics requires more than the ability to memorize procedures. This book helps your children learn to think mathematically, giving them a strong foundation for future learning.

And don’t worry if you’ve forgotten all the math you learned in school. I’ve included plenty of definitions and explanations throughout the book. It’s like having a painless math refresher course as you play.

Continue reading Prealgebra & Geometry Games Now Available

Math Journals: Save the Cat!

Puck is concerned that some people don’t understand the idea behind the Math Rebel journals. He decided to create a journaling prompt so your children can experience the joy of creative reasoning (and save cats from their mortal enemy!)

Journaling is a great way to help children learn to see with mathematical eyes. Not just to remember what we tell them, but to create their own math.

Many people know it’s important for students to do hands-on experiments in science. But Puck realized that most adults don’t know how to do a math experiment.

So Puck created this Cat Escape puzzle…

Continue reading Math Journals: Save the Cat!

Math Journals and Creative Reasoning

Learning math requires more than mastering number facts and memorizing rules. At its heart, math is a way of thinking.

So more than anything else, we need to teach our kids to think mathematically. To make sense of math concepts and persevere in figuring things out. To notice the numbers, shapes, and patterns all around. To wonder about big ideas.

Journaling is a great way to help children learn to see with mathematical eyes. Not just to remember what we tell them, but to create their own math.

Get started with creative math journaling today. Visit the Make 100 Math Rebels Kickstarter page to download the free “How To Be a Math Rebel” sampler pictured above, which contains one of my all-time favorite math prompts.

Make 100 Math Rebels

It doesn’t matter whether your students are homeschooled or in a classroom, distance learning or in person. Everyone can enjoy the experience of playing around with math.

Puzzle from the free Math Rebel Sampler.

Continue reading Math Journals and Creative Reasoning

A New Resource for Playful Math

Are you looking for new ways to explore math with your kids?

Would you like an easy, no-prep resource for creative problem-solving, number play, math art, word problems, mini-essays, brainteasers, patterns, research projects, and much more?

Check out the Make 100 Math Rebels Kickstarter project, which just might transform your child’s experience of math.

What Is a Math Rebel?

Math rebels believe in Truth. We refuse to accept something just because the teacher or textbook says it. We want to see the connections between math concepts and to understand why things work.

Math rebels care about Justice. We resist society’s push for speed and conformity. We reject the cultural narrative that math has only One Right Answer.

Math rebels celebrate Creative Reasoning. We delight in finding new ways to look at math topics. We want to think deeply about ideas, and we are confident in our ability to figure things out.

Launch your family’s math rebellion today with my free printable PDF booklet, “How To Be a Math Rebel,” available only on the Make 100 Math Rebels Kickstarter page.

Here’s the link again:

Make 100 Math Rebels on Kickstarter

If you like what you see, I’d love to have your support. The more people we can get backing the project in the early days, the more likely Kickstarter will promote it to new readers.

What Is Multiplication, Anyway?

At some point during the process of teaching multiplication to our children, we really need to come to terms with this question:

What IS multiplication?

Did your device hide the video? Find it on YouTube here.

“What’s my answer? It’s not one that society’s going to like. Because society expects — demands, even — that mathematics be concrete, real-world, absolute, having definitive answers.

    I can’t give a definitive answer.

      Multiplication manifests itself in different ways. So maybe the word ‘is’ there is just too absolute. And it’s actually at odds with what mathematicians do.

        Mathematicians do attend to real-world, practical scenarios — by stepping away from them, looking at a bigger picture.”

        —James Tanton, What is Multiplication?

        For Further Study

        You may also enjoy these posts from my blog archive:

        Memorizing the Times Table: A Life Skills Approach

        Continuing on my theme of times table facts, here’s the inimitable James Tanton:

        Did your device hide the video? Find it on YouTube here.

        “If our task is to memorize this table, please make it about mathematics — about thinking your way through a challenge, and what can I do to make my life easier.”

        —James Tanton, Making Memorising Multiplication Facts (if one really must) a meaningful Life Skill Lesson

        For Further Study

        You may also enjoy my blog post series about working through the times tables, paying attention to mathematical relationships (and a bit of prealgebra) along the way.

        Times Tables Series

        Click the button to see the whole series. Scroll down to the first post to go through it in order.

        Only Three Facts to Memorize

        A comment from a friend got me playing around with multiplication. I found a few videos from some of my favorite math people, so I’ll be sharing over the next few days.

        Here’s one from Sonya Post of Learning Well at Home. Also, Sonya just hosted Playful Math Education Carnival #143, which is well worth your time to explore!

        Did your device hide the video? Find it on YouTube here.

        “When students have to drill multiplication facts, it’s frustrating, unproductive and it makes them hate math. A better way to master the multiplication table is work on the skills that allow students to multiply quickly and efficiently.”

        —Sonya Post, Why We Don’t Drill Multiplication Facts – What We Do Instead

        Doubling and Halving

        Making doubles and halves are a great foundation for all sorts of math.

        Do you ever play the doubling game with your children? One player picks a starting number, and then you take turns doubling it until your mental math skills run out. How far can you go?

        Or try the halving game: One player chooses a starting number, and you take turns cutting it in half. How tiny can you go?

        As Sonya demonstrated, these skills help your child master their multiplication facts. And they are fantastic preparation for exponents and logarithms, too!