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.

Math Makers: Write a Poem

Last week, I mentioned my new project, the Student Math Makers Gallery where children and teens can share their original math creations with the world.

So this week, I’m offering inspiration to get your children’s creative juices flowing.

Let’s Write Math Poetry

April is National Poetry Month, and it’s also Mathematics and Statistics Awareness Month.

What better way to celebrate than writing math poetry?

  • Write a poem about a math concept or idea, using your favorite style of verse.
  • Or write a poem about any subject, using a mathematical constraint.
  • Or both: write a poem about math, constrained by math.

Here are some examples…

Continue reading Math Makers: Write a Poem

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.

Playful Math Carnival 144: Anniversary Edition

Welcome to the 144th edition of the Playful Math Education Blog Carnival — 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.

Bookmark this post, so you can take your time browsing.

There’s so much playful math to enjoy!

By tradition, we would start the carnival with a puzzle/activity in honor of our 144th edition. But this time, I want to take a peek back at the history of our carnival.

But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

Continue reading Playful Math Carnival 144: Anniversary Edition

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.

Math Advent Calendars for 2020

Would you like to add some no-preparation-required fun to your math lessons this month?

Check out these creative mathematical Advent calendars, each featuring one puzzle or activity per day for December 1–24.

Some of the calendars may show a previous year’s date. (This is 2020 after all!) But the puzzles are evergreen — you can enjoy them anytime.

For more Advent-math links, visit Colleen Young’s Mathematical Advent Calendars post. And don’t miss my massive blog post Holiday Math Puzzles and Activities for Christmas, Winter Break.

Playing with a Hundred Chart #36: Cover 100 Squares

Patrick Vennebush shared this puzzle from his new book, One-Hundred Problems Involving the Number 100:

It’s easy to cover a hundred chart with 100 small squares: 10 rows of 10 squares = 100.

It’s easy to cover a hundred chart with one big square: one 10×10 square = 100.

But can you cover the chart with 20 squares? Or with 57 squares? The squares do NOT have to be all the same size.

If we only consider squares with whole-number sides, so they exactly fit on the grid, then:

  • What numbers of squares work to cover the chart?
  • What numbers don’t work — and can you prove it?

Click to read the original puzzle along with some teaching tips at Patrick’s blog:

Covering 100 Squares

If you’d like some printable hundred charts for coloring in squares, download my free Hundred Charts Galore! file from my publisher’s online store:

Hundred Charts Galore!

And discover more ways to play with these printables in my classic blog post: 30+ Things to Do with a Hundred Chart.

Playful Math Education 142

Welcome to the 142nd edition of the Playful Math Education Blog Carnival — 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.

Bookmark this post, so you can take your time browsing.

Seriously, plan on coming back to this post several times. There’s so much playful math to enjoy!

By tradition, we start the carnival with a puzzle/activity in honor of our 142nd edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

Activity: Planar Graphs

According to the OEIS Wiki, 142 is “the number of planar graphs with six vertices.”

What does that mean?

And how can our students play with it?

A planar graph is a set of vertices connected (or not) by edges. Each edge links two vertices, and the edges cannot intersect each other. The graph doesn’t have to be fully connected, and individual vertices may float free.

Children can model planar graphs with three-dimensional constructions using small balls of playdough (vertices) connected by toothpicks (edges).

Let’s start with something smaller than 142. If you roll four balls of playdough, how many different ways can you connect them? The picture shows five possibilities. How many more can you find?

Sort your planar graphs into categories. How are they similar? How are they different?

A wise mathematician once said, “Learning is having new questions to ask.” How many different questions can you think of to ask about planar graphs?

Play the Planarity game to untangle connected planar graphs (or check your phone store for a similar app).

Or play Sprouts, a pencil-and-paper planar-graph game.

For deeper study, elementary and middle-school students will enjoy Joel David Hamkins’s Graph coloring & chromatic numbers and Graph theory for kids. Older students can dive into Oscar Levin’s Discrete Mathematics: An Open Introduction. Here’s the section on planar graphs.

[“Geöffneter Berg” by Paul Klee, 1914.]

Click here for all the mathy goodness!

Parallel and Perpendicular Art

I love this easy-but-beautiful math art project!

1. Print a page of dotty or lined graph paper for each student. You’ll also need a ruler and a large assortment of markers or colored pencils.

2. Students draw a line across the page, lining up their ruler with the grid points. The first line can be vertical, horizontal, or diagonal.

3. Keep drawing lines, but NEVER cross a line you’ve already drawn. Following the grid will create many lines parallel or perpendicular to each other. What angles can you identify?

4. Color as desired. For a stained-glass effect, outline the colored areas with a black Sharpie marker.

Look for more math art ideas in my FREE new book Geometric Coloring Designs 2: Create Your Own Art. Visit my publisher’s online store and click the “Free Books” button.

CREDITS: I saw this project at Cindy’s Love2Learn2Day blog. She got the idea from Zachary‘s MathActivities site.