Playing with Math: A Carnival of Carnivals

Posted on by Denise Gaskins

The Playful Math Education Carnival (formerly “Math Teachers at Play”) is a monthly collection of mathy fun: tips, tidbits, games, activities, and more.

It’s like a free online magazine of mathematical adventures. If you like to learn new things and play around with ideas, you are sure to find something of interest.

Visit the Current Carnival

Normally, I post a blog about each month’s carnival as it goes live. But this year has been anything but normal!

First there was my daughter’s medical issue, which took up months of my time. Happily, that is resolved and she’s doing well, back to all her normal-life activities.

Then there was the big storm that dropped a tree on our house. (Don’t worry, we’re all fine!) Cleaning up from that has taken months of work and more than a dozen bonfires — and we’re still far from done.

But I have climbed out from under the To-Do list enough to notice my blogging negligence. So without further ado, here are all the carnivals I missed, full of great mathy activities and games to play with your kids…

Playful Math Carnival 163 at 1001 Math Problems

First up, Sian’s delightful collection of math projects, puzzles, and games posted in March. Don’t worry that these may be out-of-date, because playful math is evergreen.

Visit Carnival 163

Playful Math Carnival 164 at Leap of Dave

Dave took over to host April’s carnival, with puzzles, movies, games, and math poetry. Plus a John Conway quote: “Playing games IS mathematics.”

Visit Carnival 164

Playful Math Carnival 165 at Nature Study Australia

Jo put together an especially varied carnival, full of mathy goodness. She writes, “If you have always thought math is about right and wrong, yes and no, be prepared to be stretched and amazed at the fun ways math can be played with!”

Visit Carnival 165

Playful Math Carnival 166 at Math Mama Writes

Sue filled our summer break (or winter, for those down under) with puzzles, games, and more — even a peek at three upcoming math novels. And if you struggle with fractions, don’t miss Henri Picciotto’s Fractions on Grids.

Visit Carnival 166

Playful Math Carnival 167 at Learning Well at Home

Finally, this month’s carnival: Sonya found plenty of mathy goodness to enjoy, including the “seriously addictive” Number Hive game.

Visit Carnival 167

Would You Like To Host a Carnival?

The carnival is a joint effort. We need more volunteers.

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up!

Find Out How To Volunteer

As always, you can browse the further-past editions of the Playful Math Carnival by scrolling backward down my blog.

 
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Thank you for reading!

“Playing with Math: A Carnival of Carnivals,” copyright © 2023 by Denise Gaskins. Image at the top of the post copyright © Casey Horner / Unsplash.

Introducing the Playful Math Subscription Plan

Posted on by Denise Gaskins

Do you have good intentions to play math with your children, but never seem to follow through?

When I was homeschooling, I found it easy to fall into a rut.

Do the next lesson in our workbook, and then the one after that, day after day.

Math became just another chore.

Yes, I knew better! But it’s so easy to just follow what’s in front of you. And searching out new ways to play with math takes time.

Playful Math Made Easy

So now I’m offering something new to help you jump out of your math rut, the Playful Math Activities Subscription on Patreon.

Continue reading Introducing the Playful Math Subscription Plan

Celebrating Math with Pi Day

Posted on by Denise Gaskins

Are your students doing anything special for Pi Day?

Back when we were homeschooling, my kids and I always felt stir-crazy after two months with no significant break. We needed a day off — and what better way could we spend it than to play math all afternoon?

I love any excuse to celebrate math!

Pi Day is March 14. If you write dates in the month/date format, then 3/14 at 1:59 is about as close as the calendar can get to 3.14159etc.

(Otherwise, you can celebrate Pi Approximation Day on July 22, or 22/7.)

Unfortunately, most of the activities on teacher blogs and Pinterest focus on the pi/pie wordplay or on memorizing the digits. With a bit of digging, however, I found a few puzzles that let us sink our metaphorical teeth into real mathematical meat.

What’s the Big Deal? Why Pi?

In math, symmetry is beautiful, and the most completely symmetric object in the (Euclidean) mathematical plane is the circle. No matter how you turn it, expand it, or shrink it, the circle remains essentially the same.

Every circle you can imagine is the exact image of every other circle there is.

This is not true of other shapes. A rectangle may be short or tall. An ellipse may be fat or slim. A triangle may be squat, or stand upright, or lean off at a drunken angle. But circles are all the same, except for magnification. A circle three inches across is a perfect, point-for-point copy of a circle three miles across, or three millimeters.

What makes a circle so special and beautiful? Any child will tell you, what makes a circle is its roundness. Perfectly smooth and plump, but not too fat.

The definition of a circle is “all the points at a certain distance from the center.” Can you see why this definition forces absolute symmetry, with no pointy sides or bumped-out curves?

One way to express that perfect roundness in numbers is to compare it to the distance across. How many times would you have to walk back and forth across the middle of the circle to make the same distance as one trip around?

The ratio is the same for every circle, no matter which direction you walk.

That’s pi!

Puzzles with Pi

For all ages:

Sarah Carter created this fun variation on the classic Four 4s puzzle for Pi Day:

Using only the digits 3, 1, 4 once in each calculation, how many numbers can you make?

You can use any math you know: add, subtract, multiply, square roots, factorials, etc. You can concatenate the digits, putting them together to make a two-digit or three-digit number.

For older students:

1. Imagine the Earth as a perfect sphere with a long rope tightly wrapped around the equator. Then increase the length of the rope by 10 feet, and magically lift it off the Earth to float above the equator. Will an ant be able to squeeze under the rope without touching it? What about a cat? A person?

2. If you ride a bicycle over a puddle of water, the wheels will leave wet marks on the road. Obviously, each wheel leaves a periodic pattern. How the two patterns are related? Do they overlap? Does their relative position depend on the length of the puddle? The bicycle? The size of the wheels?

3. Draw a semicircle. Along its diameter draw smaller semicircles (not necessarily the same size) that touch each other. Because there are no spaces in between, the sum of the diameters of the small semicircles must equal the diameter of the large one. What about their perimeter, the sum of their arc lengths?

4. Choose any smallish number N. How can you cut a circular shape into N parts of equal area with lines of equal lengths, using only a straight-edge and compass? Hint: The lines don’t have to be straight.

[Solutions at Alexander Bogomolny’s Pi Page. Scroll down to “Extras.”]

It can be of no practical use to know that Pi is irrational, but if we can know, it surely would be intolerable not to know.

— Edward Titchmarsh

For More Information

Here are a few pi-related links you may find interesting:

Or for pure silliness:

Have fun playing math with your kids!

John Reid, CC BY-SA 3.0 via Wikimedia Commons

Running Out of Time for the Math Games

Posted on by Denise Gaskins

We have less than 36 hours to go on the Tabletop Math Games Collection Kickstarter.

Thank you so much to everyone who has backed these fun books. Your encouragement and support keep me going!

For procrastinators, get thee to the Kickstarter:

Order Your Books Now ❯

Don’t Put It Off

Most of my books eventually show up in the regular online bookstores, making it easy to delay purchasing.

But these are not typical paperback or hardcover books. Instead, they’re designed to lay flat so players can use the gameboards or easily refer to rules as they play.

I don’t know whether the online bookstores will stock these titles.

But I do know we’re counting down the hours on our Tabletop Math Games Collection Kickstarter campaign.

Do you really want to miss out?

Scroll down for a peek at what other people say about my math games.

Then order your copy today, and have fun playing math with your kids!

Readers Love These Games

👍 “When I’m asked about resources for math games, Denise Gaskins is one of the first names I mention.”
—Dan Finkel, creator of the Prime Climb math board game

❤️ “If I could go back in time, I would play a lot more games.”
—Carla Roesler, homeschooling parent

👍 “The directions are clear, it is easy for parents to pick up and use, yet it gets to the heart of mathematical thinking in a fun, engaging way.”
—Casey Maupin, homeschooling parent

❤️ “The games are easy to put into practice (even for a mom of 4 with 2 toddlers) and something my daughter would participate in willingly or even enjoy (which is saying a lot for a teen who doesn’t always appreciate a challenge). Clever, helpful, and creative in ways I’d never come up with.”
—Casey Baldwin, homeschooling parent

Visit the Kickstarter ❯

Why I Love Math Games

Posted on by Denise Gaskins

To everyone who has supported my Tabletop Math Games Collection Kickstarter project: thank you ever so much! We’ve blown past our funding target and the first two Stretch Goals. And the Kickstarter folks awarded us the “Project We Love” tag. 😻

If you haven’t backed the project yet, check out what you’re missing:

Visit the Kickstarter ❯

Why I Love Math Games

Math games build mental flexibility and strategic reasoning in players of all ages. And even people who hated math in school can enjoy the friendly challenge of a game.

I love how the challenge of a well-fought math game pushes players of all ages to think more creatively and build fluency.

Games Promote Mathematical Thinking

Math games push students to develop a creatively logical approach to solving problems. In the stress-free struggle of a game, players learn to analyze situations and draw conclusions.

Even more importantly, games help children learn to enjoy the challenge of thinking hard. Their vocabulary grows as they discuss options and strategies with their fellow players. With their attention focused on their next move, they don’t notice how much they are learning.

And games are good medicine for math anxiety. Everyone knows it takes time to master the fine points of a game, so players can get stuck or make mistakes without losing face.

What’s Special About These New Books?

Readers of my Math You Can Play series know the joy of gaming can transform a child’s attitude toward math. But many of you tell me the books get lost on your bookshelves or in your ebook reading device. You’ve begged me to make math gaming more open-and-go.

So my new Tabletop Math Games Collection is designed to make it easier than ever for busy families and over-stressed teachers to play with math.

These books are written directly for young gamers and require only common household supplies like cards, dice, and scratch paper. Children can open to any page and start playing right away.

Not to mention the swag! I’m excited about the items we’ve created to go along with the books. The “Gaming in the Enchanted Forest” coloring page by fantasy artist Tanya Hales is absolutely delightful, and the enamel pins are a fun and colorful way to share your playful math joy.

Order Your Copy Today

Whether you’re a busy parent or an overworked teacher, you’ll love the Tabletop Math Games Collection — the natural, no-stress way to build your children’s understanding and confidence.

These are NOT the typical memory-and-speed-based math games you’ve probably seen online, but true battles of wit and skill (plus a bit of luck). Even the preschool games can be fun for adults, too.

Most of the games take only seconds to learn and less than 15 minutes to play, making them perfect ice-breakers for family gatherings, classroom warmups, or for launching a group game night.

So what are you waiting for? Grab some cards, dice, or graph paper, and let’s play some math!

Visit the Kickstarter ❯

 
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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.

If you liked this post, and want to show your one-time appreciation, the place to do that is PayPal: paypal.me/DeniseGaskinsMath. If you go that route, please include your email address in the notes section, so I can say thank you.

Which I am going to say right now. Thank you!

“__________” copyright © __________ by Denise Gaskins. Image at the top of the post copyright © __________ / Depositphotos.

Playful Math Education 162: The Math Games Carnival

Posted on by Denise Gaskins

Welcome to the 162nd 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 162nd 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

The number 162 is a palindromic product:

162 = 3 x 3 x 2 x 3 x 3
and 162 = 9 x 2 x 9

  • How would you define palindromic products?
  • What other numbers can you find that are palindromic products?
  • What do you notice about palindromic products?
  • What questions can you ask?

Make a conjecture about palindromic products. (A conjecture is a statement you think might be true.)

Make another conjecture. How many can you make? Can you think of a way to investigate whether your conjectures are true or false?

Click here for all the mathy goodness!

Launch Day! Act Now To Get the Earlybird Bonus

Posted on by Denise Gaskins

And so it begins: Tabletop Math Games Collection is LIVE on Kickstarter!

Check It Out

To have a successful campaign, we need plenty of people to back the project early. The more supporters we get — especially on the first day — the more likely the Kickstarter service folks will help spread the news for us.

So I’m offering a special bonus printable activity guide for everyone who joins the campaign at any pledge level during the first 48 hours of the campaign:

Geometric Coloring Designs 5: Advanced Tessellations is one of my favorite open-ended math art activities, which works with students from elementary to high school. And adults enjoy it, too!

The rest of the Geometric Coloring Designs series will show up as bonuses in future weeks, and early backers get them all. Whether you pledge on day 1 or day 21, your credit card won’t be charged until the campaign ends, so join early to lock in your bonus perks.

Let’s show the whole world how much fun it can be to play around with math!

Go to the Kickstarter

I’ve Never Done This Before…

Posted on by Denise Gaskins

My new math book series, the Tabletop Math Games Collection, launches exclusively on Kickstarter next week. I can hardly wait!

Get Notified When We Go Live
(free Kickstarter account required)

And I’m trying several new reward options I’ve never done before. (The “rewards” on Kickstarter are all the various things you can buy with your support pledge.)

Here’s a quick peek at a few of the new things to come.

This is going to be so much fun!

Math Games Book Boxes

You can choose from two sizes.

The smaller Math Games Book Box includes one paperback Math Games Booklet at your child’s level: Early Games, Primary Games, or Advanced Games. Plus one enamel pin, and either a set of cards and dice or a small whiteboard with markers.

The Mega Math Games Gift Box includes the spiral-bound Deluxe Omnibus book (which contains all three smaller books and more), plus all unlocked pin designs, and plenty of cards, dice, and other handy supplies shown above. (Colors will vary.)

Enamel Pins

Show your gaming spirit with these cool enamel pins.

By popular request, we have enamel pins in four designs. The first two are available immediately, and two more will unlock as Stretch Goals.

  • “Let’s Play Math” in cool spring colors
  • “Let’s Play Math” in warm fall colors
  • 🔒 [Locked] Deck of playing cards (unlocks at Stretch Goal #1)
  • 🔒 [Locked] Penrose triangle of rainbow blocks from the back of the playing cards (unlocks at Stretch Goal #3)

Pins are about 1″ diameter hard enamel, for the perfect combination of durability and fun color. Backed with a metal military-style butterfly clip for extra strength, so it won’t fall off your backpack or bag.

If you choose a reward level that includes pins, or buy them as an add-on to another level, be sure to fill out your post-campaign survey to tell me which design you want.

Limited International Shipping

Digital rewards are available worldwide.

For physical books and merchandise, I can offer shipping to a few countries with small-business-friendly tax laws:

  • UK, for books only (no merchandise)
  • European Union
  • Canada
  • Australia
  • New Zealand
  • South Africa
  • and the US, as always

You may owe import duties and VAT before you can claim your package. I have no control over the customs clearance process in your country, so you might want to check with your local customs officials or post office for details on what to expect.

Sign Up To Get Notified

Can You Help Me?

Posted on by Denise Gaskins

I’m finishing up my plans for the Tabletop Math Games Collection project and pledge levels. The Kickstarter launches in two weeks. Where did the time go?!

But I need help. Could you please take a few minutes to look over the project page and give me some feedback?

  • Preview & Comments Page
    (NO account required to see the preview, but you may need to log in if you want to leave a comment.)

It’s so hard to edit myself because I miss too many mistakes. So having new eyes on the page would be a great help in catching typos and making sure the descriptions make sense and are as clear as possible.

Here’s a screenshot of what you’ll see:

There’s a place to enter comments on the right. Or you can email me directly with anything you want to share.

There’s also a Notification link at the top left corner of the page, for anyone who hasn’t yet signed up for Kickstarter to tell you when the project launches.

Thank you so much for the feedback!

Yes, I’d Love To Help. Let’s Go!

New Project: The Tabletop Math Games Collection

Posted on by Denise Gaskins

Coming Soon! On January 30th, I’ll be launching a brand new book series, the Tabletop Math Games Collection.

And the Kickstarter prelaunch page is now live. That means you can sign up to get an email from Kickstarter as soon as the campaign launches:

Visit the Prelaunch Page ❯
(free Kickstarter account required)

Test Out 4 Free Sample Games

Math games build mental flexibility and strategic reasoning in players of all ages. And even people who hated math in school can enjoy the friendly challenge of a game.

I’ve put together a free printable sampler file, with four ready-to-play card games you can enjoy today.

I think you’ll love it!

Download the Sample File ❯

Help Your Kids Learn Math the Playful Way

  • Are you a parent trying to help your child learn math?
  • Or a teacher looking for ways to encourage creative thinking?
  • Or a gamer ready to try something new with your friends?

Then the Tabletop Math Games Collection is perfect for you.

These are NOT the typical memory-and-speed-based math games you’ve probably seen online, but true battles of wit and skill (plus a bit of luck). Even the preschool games can be fun for adults, too.

Most of the games take only seconds to learn and less than 15 minutes to play, making them perfect ice-breakers for family gatherings, classroom warmups, or for launching a group game night.

Don’t miss the fun!

Hit the button to visit the prelaunch page and sign up for notifications:

Get Notified ❯