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.

Learning Math Requires Imagination

“Teach mathematics the way we learn any other subject: Make it visual, make it concrete, not dependent on meaningless, abstract symbols, employ all the senses!

If math is such an important subject (and it is) why teach it in a way that is dependent on a child’s weakest mental ability: memory, rather than her strongest mental ability: imagination?”

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

Mathematics and Imagination

How can we stir up our students’ imagination?

Teachers have struggled with this question for years — perhaps since the beginning of the profession.

Consider these comments by W. W. Sawyer in Mathematician’s Delight:

“Earlier we considered the argument, ‘Twice two must be four, because we cannot imagine it otherwise.’ This argument brings out clearly the connexion between reason and imagination: reason is in fact neither more nor less than an experiment carried out in the imagination.

“People often make mistakes when they reason about things they have never seen. Imagination does not always give us the correct answer. We can only argue correctly about things of which we have experience or which are reasonably like the things we know well. If our reasoning leads us to an untrue conclusion, we must revise the picture in our minds, and learn to imagine things as they are.

“When we find ourselves unable to reason (as one often does when presented with, say, a problem in algebra) it is because our imagination is not touched. One can begin to reason only when a clear picture has been formed in the imagination.

“Bad teaching is teaching which presents an endless procession of meaningless signs, words and rules, and fails to arouse the imagination.”


Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Background photo by Mehmet Kürşat Değer 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 to Think is Hard Work

Learning-to-Think

“Learning to think a problem through can be hard work‌—‌and that is exactly what makes it fun.”

—Denise Gaskins

Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Today’s quote is from my book Let’s Play Math: How Families Can Learn Math Together‌‌—‌And Enjoy It. Background photo courtesy of Chris_Parfitt (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.


Unending Digits… Why Not Keep It Simple?

Unending-digits

Unending digits …
Why not keep it simple, like
Twenty-two sevenths?

—Luke Anderson

Math Poetry Activity

Encourage your students to make their own Pi Day haiku with these tips from Mr. L’s Math:

And remember, Pi Day is also Albert Einstein’s birthday! Check out this series of short videos about his life and work: Happy Birthday, Einstein.

Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Today’s quote is from Luke Anderson, via TeachPi.org. Background photo courtesy of Robert Couse-Baker (CC BY 2.0) via Flickr.


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Quote: Living Mathematics

Only-dead-mathematics

Only dead mathematics can be taught where competition prevails: living mathematics must always be a communal possession.

— Mary Everest Boole

Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Today’s quote is from Mary Everest Boole. Background photo courtesy of State Library of Queensland, Australia (no known copyright) via Flickr.


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Get in the Math Car

Math-car

Get in the math car with a list of destinations and no map. Take whatever route you want, and marvel at the things you discover along the way.

— Nick Harris

Wednesday Wisdom features a quote to inspire my fellow homeschoolers and math education peeps. Today’s quote is from @Mr_Harris_Math, via Twitter. Background photo courtesy of Forrest Cavale (CC0 1.0) via Unsplash.


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