# The Colors-of-Fall Carnival: Playful Math #160

Welcome to the 160th 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 start the carnival with a puzzle/activity in honor of our 160th edition. But if you’d rather jump straight to our featured blog posts, click here to see the Table of Contents.

## Try This Puzzle/Activity

Appropriately for an October carnival, 160 is an evil number.

A number is evil if it has an even number of ones in binary form. Can you find the binary version of 160? (Hint: Exploding Dots.)

160 is also a polyiamond number. If you connect 9 equilateral triangles side-to-side, a complete set of 9-iamond shapes would have 160 pieces.

But sets that large can be overwhelming. Try playing with smaller sets of polyiamonds. Download some triangle-dot graph paper and see how many different polyiamond shapes you can make.

What do you notice? Does it make you wonder?

What designs can you create with your polyiamonds?

Photo by Daiga Ellaby on Unsplash

## Contents

And now, on to the main attraction: the blog posts. If you’d like to skip directly to your area of interest, click one of these links.

Would you like to see YOUR favorite blog post in next month’s playful math blog carnival? Submissions are always open!

## Talking Math with Kids

“It’s funny to me how S and N both have a low threshold for ‘school-ification.’ They’ll happily mathematize the world, but once it starts to feel like a lesson…”

—Jenna Laib, Rush Hour Conversations

• And if you haven’t sampled Danielson’s delicious stories about talking math with kids, here’s a tasty place to start: Canned pumpkin.

Image by Ilya Lisauskas from Pexels

## Exploring Elementary Arithmetic

“May your classroom be filled with math joy and rich math talk all year long.”

—Steve Wyborney, 170 New Esti-Mysteries

Photo by Tolga Ulkan on Unsplash

## Adventuring into Algebra and Geometry

“We all needed the opportunity to think for ourselves, and to experience success as a result. How else could we become resilient, confident, creative people?”

—Audrey McLaren, Playing in math using Desmos

Photo by Johannes Plenio on Unsplash

## Scaling the Slopes of High School Math

“Pose challenges to yourself. Get data sets you would like to see represented graphically and create those graphics. Learn by doing things.”

—Alberto Cairo, Getting Graphic with Alberto Cairo

Photo by Takahiro Sakamoto on Unsplash

## Enjoying Recreational Puzzles and Math Art

“Number theory is like poetry
they are both of the same kind
they start a fire in your mind…”

—Olga Taussky-Todd, Number theory is like poetry

Photo by Nadine Primeau on Unsplash

## Teaching with Wisdom and Grace

“You can never improve as a teacher unless at some point you listen to the students.”

—David Butler, Four levels of listening

• Betsy Mays (@Betsymays123) offers a printable template to give students a chance to show mastery of their test mistakes: Aftermath.

Photo by Annie Spratt on Unsplash

## Giving Credit Where It’s Due

The spooky cat picture is by bess.hamiti@gmail.com from Pixabay.

The polyiamonds chart is by Eric W. Weisstein. “Polyiamond.” From MathWorld–A Wolfram Web Resource. https://mathworld.wolfram.com/Polyiamond.html.

And that rounds up this edition of the Playful Math Education Blog Carnival. I hope you enjoyed the ride.

The next installment of our carnival will open sometime during the months of November-December at Nature Study Australia. Visit our blog carnival information page for more details.

We need volunteers! Classroom teachers, homeschoolers, unschoolers, or anyone who likes to play around with math (even if the only person you “teach” is yourself) — if you would like to take a turn hosting the Playful Math Education Blog Carnival, please speak up!

Photo by Sage Friedman on Unsplash

This site uses Akismet to reduce spam. Learn how your comment data is processed.