Education Bloggers: Share Your Post!

If you are a homeschooler or classroom teacher, student or independent learner, or anyone else who writes about math, now is the time to send in your favorite blog post for next week’s Playful Math Blog Carnival (formerly “Math Teachers at Play”).

Click here to submit your blog post

Don’t procrastinate: The deadline for entries is this Friday, April 20. The carnival will be posted next week at Following Learning blog.

Have you noticed a new math blogger on your block that you’d like to introduce to the rest of us? Feel free to submit another blogger’s post in addition to your own. Beginning bloggers are often shy about sharing, but like all of us, they love finding new readers.

Would You Like to Host the Carnival?

Help! I can’t keep the carnival going on my own.

Hosting the blog carnival can be a lot of work, but it’s fun to “meet” new bloggers through their submissions. And there’s a side-benefit: The carnival usually brings a nice little spike in traffic to your blog.

If you think you’d like to join in the fun, read the instructions on our Playful Math Blog Carnival homepage. Then leave a comment or email me to let me know which month you’d like to take.

Explore the Other Math Carnivals

While you’re waiting for next week’s carnival, you may enjoy:


[“L.A. County Fair” photo (top) by Omar Bárcena (CC BY 2.0) via Flickr.]


howtosolveproblemsWant to help your kids learn math? Claim your free 24-page problem-solving booklet, and sign up to hear about new books, revisions, and sales or other promotions.

Everyone Deserves to Enjoy Math

“In 2018, I want to change the world.

I want to make it possible for more children to claim math as their favorite subject.

Math is how we describe our world when words are not enough. Everyone deserves to speak math and to play math, to enjoy its beauty and its power.”

— Geoff White
The Grade 10 Math Crunch, or Hitting the Wall at Grade 10


Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Background photo by Bobby Johnson on Unsplash.

howtosolveproblemsWant to help your kids learn math? Claim your free 24-page problem-solving booklet, and sign up to hear about new books, revisions, and sales or other promotions.

Quotable: Keith Devlin on Mathematical Thinking

“At heart, mathematical thinking is little more than formalized common sense. It always has been. Which means it is something we can all do.”

— Keith Devlin
How Today’s Pros Solve Math Problems

If you have some time to spend pondering big ideas, dig into Devlin’s entire series of posts about what real-world mathematics looks like and the implications for math education:

And a related series on K–12 school math:

“Make no mistake about it, acquiring that modern-day mathematical skillset definitely requires spending time carrying out the various procedures. Your child or children will still spend time ‘doing math’ in the way you remember.

“But whereas the focus used to be on mastering the skills with the goal of carrying out the procedures accurately — something that, thanks to the learning capacity of the human brain, could be achieved without deep, conceptual understanding — the focus today is on that conceptual understanding.

“That is a very different goal, and quite frankly a much more difficult one to reach.”

— Keith Devlin
All The Mathematical Methods I Learned in My University Math Degree Became Obsolete in My Lifetime


howtosolveproblemsWant to help your kids learn math? Claim your free 24-page problem-solving booklet, and sign up to hear about new books, revisions, and sales or other promotions.

Playful Math Education Carnival 115—Women of Mathematics

Welcome to the 115th edition of the Playful Math Education Blog Carnival — a smorgasbord of links to bloggers all around the internet who have great ideas for learning, teaching, and playing around with math from preschool to pre-college.

In honor of Women’s History Month, this carnival features quotes from fifteen women mathematicians.

If you would like to jump straight to our featured blog posts, click here to see the Table of Contents.

Let the mathematical fun begin!

The Women of Mathematics

They came from many countries and followed a variety of interests.

They conquered new topics in mathematics and expanded the world’s understanding of old ones.

They wrestled with theorems, raised children, published articles, won awards, faced discrimination, led professional organizations, and kept going through both success and failure.

Some gained international renown, but most enjoyed quiet lives.

They studied, learned, and lived (and some still live) as most of us do — loving their families and friends, joking with colleagues, hoping to influence students.

I think you’ll find their words inspiring.

“What I really am is a mathematician. Rather than being remembered as the first woman this or that, I would prefer to be remembered, as a mathematician should, simply for the theorems I have proved and the problems I have solved.”
Julia Robinson (1919–1985)

 

“All in all, I have found great delight and pleasure in the pursuit of mathematics. Along the way I have made great friends and worked with a number of creative and interesting people. I have been saved from boredom, dourness, and self-absorption. One cannot ask for more.”
Karen Uhlenbeck (b. 1942)

Continue reading Playful Math Education Carnival 115—Women of Mathematics

Funville Adventures: Blake’s Story

Today we have a guest post — an exclusive tale by Sasha Fradkin and Allison Bishop, authors of the new math storybook Funville Adventures. Enjoy!

Funville Adventures is a math-inspired fantasy that introduces children to the concept of functions, which are personified as magical beings with powers.

Each power corresponds to a transformation such as doubling in size, rotating, copying, or changing color. Some Funvillians have siblings with opposite powers that can reverse the effects and return an object to its original state, but other powers cannot be reversed.

In this way, kids are introduced to the mathematical concepts of invertible and non-invertible functions, domains, ranges, and even functionals, all without mathematical terminology.

We know about Funville because two siblings, Emmy and Leo, were magically transported there after they went down an abandoned slide.

When they came back, Emmy and Leo shared their adventures with their friends and also brought back the following manuscript written by their new friend Blake.

Blake’s Story

Hi everyone! My name is Blake and I live in Funville. Before I met my new friends Emmy and Leo, I didn’t know there were places outside of Funville, but now I do! Emmy explained to me that people from her world don’t know about Funvillians and our powers, so she suggested that I write to you and tell you a bit about myself.

Each Funvillian has a special power. My friend Doug’s power is to make things twice as big. He can look at a cookie and make it double in size! Which really isn’t fair but it’s still nice, since he’s good at sharing the now mega-cookies with the rest of us. His brother Harvey can make things twice as small. Sometimes when Doug and Harvey are arguing, they make the same thing big and then small and then big and small over and and over again, which is really quite funny to watch.

My power is to erase things. In comes in very handy when I want to redo a drawing or clean up a spill. But it gets tricky sometimes when I play games.

Games in Funville are the best! I imagine they must go somewhat differently where you are, since in Funville everyone uses their powers while playing. Emmy calls this “cheating,” but we think it’s all in good fun! It makes games very exciting, but it also makes it hard to decide who wins. If my friend Heather uses her power to make the soccer ball too heavy to move when the score is 1-to-1, we usually have to declare a tie and play something else (I suspect she does this whenever she’s bored of playing soccer).

For a while, every time I tried to use my power to play a game, it didn’t work very well. The first time I played checkers I accidentally erased the checkerboard. We drew it back on, but it took awhile, because we had to guess how many squares there should be, and we had to try it a few times before it looked right again. The second time I erased the scoreboard in the fifth inning of a baseball game because I wanted to start over, but then it got dark before we could finish the game.

I don’t even get invited to play Scrabble anymore because I always erase letters I don’t like. I know I probably shouldn’t do this, but I just can’t help myself! And then sometimes I even forget what the letters were by the end of the game, so now we have too many blank scrabble tiles and we don’t know what they should be.

But then Emmy and Leo taught me about games you can play on paper, which we hadn’t been playing in Funville before. Leo taught me how to play tic-tac-toe, and soon everyone in Funville was playing it! Well, I guess not the original version — we had to change it to tic-tac-elephant, so that my friend Constance could play (her power is to turn anything into an elephant).

And Emmy taught me how to play hangman, where you come up with a word and the other players have to try to guess it one letter at a time. Harvey always beats me at that one when he’s guessing, because he keeps making the parts of the hangman so small that I can’t see them and I forget they are there, and so I keep drawing the same arm over and over again while he gets more guesses. And I always beat him when I’m guessing, because I can erase the parts and he forgets, too!

Whenever we play these games, it’s mine to shine — whenever a game is finished, I can erase the paper, and we get to play all over again!

Sometimes it’s tough having a power that can’t be reversed, and I wish I was like Harvey and Doug, who can always undo each other’s mistakes. But other times I’m proud I can erase things. It’s not always what we want, but sometimes a clean slate is exactly what we need.

Your Turn to Play

Dear reader, now it’s your turn to have fun with powers!

Talk with your children about ideas inspired by the Funville Adventures story.

For example, think of one of your favorite games to play on paper. (If you don’t have any, you can think of board games instead.) Would having Blake’s power help in the game?

Blake also mentions his friends Doug, Harvey, and Constance in his story. Would one of their powers be more useful? Or funnier?

Come up with your own powers that you’d like to have while playing each of your favorite games.

For inspiration, enjoy this father’s conversation with his son after reading Funville Adventures.

And if you’d like, you can play The Function Machine Game to experiment with functions of numbers. Be sure to let your kids have a turn making up function rules for you to solve!

Ready for More?


About the Authors

Sasha (A.O.) Fradkin has loved math from an early age and seeks to share that love of math with others. After receiving her PhD in mathematics from Princeton University, she worked for several years as a professional mathematician and taught enrichment math to children ages 4-10 at the Golden Key Russian School. Currently, Sasha is the Head of Math at the Main Line Classical Academy, an elementary school in Bryn Mawr, PA. She develops their math curriculum and teaches children in grades K-5. She writes a blog, Musings of a Mathematical Mom, about her teaching as well as various math adventures with her two daughters, and enjoys pondering exciting and engaging ways to present the beauty of mathematics to young children.

Allison (A.B.) Bishop grew up with a passion for writing and initially disliked math because it was presented as formulaic. She belatedly discovered the creative side of mathematics and science, and now sees it as a vital component of the curiosity that drives her life. She is currently a professor of computer science at Columbia University as well as a quantitative researcher at the Investors Exchange. She remains an avid fiction enthusiast and writer, and is always seeking new ways to expose young minds to creative mathematical thinking and fuel their scientific curiosity.

Cultivate Mathematical Curiosity

“Cultivating thinking skills is the main reason for teaching math. It is the mind’s perfect playground for shaping up.

To begin developing thinking, you must first have a child who is curious. For without curiosity, there is only forced thinking.

The problem with traditional math is it jumps to the punchline.

Absolutely no mystery or suspense is developed in traditional math books. Why? Apparently, someone thought math was without mystery. That math is a definitive subject of rules and algorithms that all have been discovered.

We must persuade children that math is a worthy pursuit through interesting stories, examining quirky math properties, and asking good questions.”

— Lacy Coker
5 Tips to Cultivate Math Curiosity

The Mind’s Perfect Playground

My K-2nd-grade homeschool co-op math class will be following many of the tips in Lacy’s article.

Our topic is “Math Storytime,” so we’ll be starting with picture books, exploring the ideas they bring up, and finding things to notice and wonder about.

I’m looking forward to it.

But picture books aren’t just for little kids. They can be great discussion-starters at any age. Have you enjoyed math books with your students?

I’d love to hear your suggestions!


Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Background photo courtesy of Bekah Russom on Unsplash.

howtosolveproblemsWant to help your kids learn math? Claim your free 24-page problem-solving booklet, and sign up to hear about new books, revisions, and sales or other promotions.

Learning Mathematics Is a Deep Mystery

Of all the myths about mathematics, the one I find most blatantly wrong is the idea that some people are just born knowing the answers. In my experience, when you confront a genuine puzzle, you start out not knowing, no matter who you are.

Moreover, “knowing” the answers can be a trap; learning mathematics is about looking at what you thought you understood and seeing that there’s deeper mystery there than you realised.

— Dan Finkel
A Mathematician at Play Puzzle #1

Puzzles for Learning Mathematics

If you’d like to practice learning mathematics by confronting genuine puzzles, Dan’s “A Mathematician at Play” series looks like a wonderful place to start.

Some of these puzzles are classics, others are original. All of them involve some kind of thinking or insight that strikes me as pretty, or surprising, or delightful.

— Dan Finkel
A Mathematician at Play Puzzle #1

Dan plans to post new puzzles on the Math 4 Love blog every Monday for the next few months. And sharing spoilers on each following Friday, if you want to verify your answers.

Check it out!


Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Background photo courtesy of Amy on Unsplash.

howtosolveproblemsWant to help your kids learn math? Claim your free 24-page problem-solving booklet, and sign up to hear about new books, revisions, and sales or other promotions.