Math with Many Right Answers

The discussion matters more than the final answer.
The discussion matters more than the final answer.

One of the most persistent math myths in popular culture is the idea that mathematics is primarily about getting right answers.

The truth is, the answer doesn’t matter that much in math. What really matters is how you explain that answer. An answer is “right” if the explanation makes sense.

And if you don’t give an explanation, then you really aren’t doing mathematics at all.

Try This Number Puzzle

Here is a short sequence of numbers. Can you figure out the rule and fill in the next three blanks?

2, 3, 5, 7, ___, ___, ___, …

Remember, what’s important is not which numbers you pick, but rather how you explain your answer.

Possibility 1

Perhaps the sequence is the prime numbers?

2, 3, 5, 7, 11, 13, 17, …

The prime numbers make a wonderful sequence, though it isn’t the one I was thinking of.

Continue reading Math with Many Right Answers

Math(s) Teachers at Play #88 via mathematicsandcoding

From elementary to high school, manipulatives to Minecraft, there’s plenty of fun to be had at this month’s math education blog carnival:

Enjoy!
MTAP88

“So, here is issue 88 of the Math(s) Teachers at Play blog carnival. This acts as a round up of some cool blog posts that have been published since issue 87 over at cavmaths. As usual people have submitted entries, which I will supplement with some posts that I have really enjoyed reading in the last few weeks…”

Click here to read the blog carnival post at mathematicsandcoding.


[Feature photo (top) by Pratham Books, 88 cards photo by Bailey Weaver, both via Flickr (CC BY 2.0).]

Noticing Fractions in a Sidewalk

fraction-circle

My daughters didn’t want to admit to knowing me, when I stopped to take a picture of the sidewalk along a back street during our trip to Jeju. But aren’t those some wonderful fractions?

What do you see? What do you wonder?

Here is one of the relationships I noticed in the outer ring:

\frac{4 \frac {2}{2}}{20} = \frac {1}{4}

sidewalk

And this one’s a little trickier:

\frac{1 \frac {1}{2}}{12} = \frac {1}{8}

Can you find it in the picture?

Each square of the sidewalk is made from four smaller tiles, about 25 cm square, cut from lava rock. Some of the sidewalk tiles are cut from mostly-smooth rock, some bubbly, and some half-n-half.

I wonder how far we could go before we had to repeat a circle pattern?

Continue reading Noticing Fractions in a Sidewalk

Murphy Strikes My Paperbacks :(

The colors are supposed to go all the way off the edge.
The colors are supposed to go all the way off the edge. They worked just fine in the pre-publication proof…

Murphy’s Law struck today, and the paperback books that looked so good in the proof copies turned out to have a cover glitch, at least in the ones I ordered from Amazon. I’m working with CreateSpace to make sure it gets straightened out—but that means the books may show up as “unavailable” for awhile.

As with any print-on-demand glitch, if you got a badly printed book you can ask Customer Support to replace it.

It could be worse. The interior of the book is fine, at least in my copy. And of course, the ebook versions are totally unaffected.

If you are trying to use the discount code for newsletter subscribers, remember that it’s good through the end of the month. I may even extend the expiration date, if this cover problem persists, but I sure hope to have it fixed in a couple of days.

Playful Math Snacks: Proofs Without Words

sloyd squareThe July “Let’s Play Math” newsletter went out earlier this week to everyone who signed up for Tabletop Academy Press math updates.

Inspired by my recent Infinite Cake post, this month’s issue focuses on math proofs without words. What fun!

Sign Up Today

If you missed this month’s edition, no worries — there will be more playful math snacks coming soon. Click the link below to sign up today!

And remember: Newsletter subscribers are always the first to hear about new books, revisions, and sales or other promotions.

Happy Math Equation Day!

math equation day

Every Day Is Mathematics Day!

I’m still having fun with David Coffey’s meme, which started a couple of years ago with this blog post:

Make Your Own

Would you like to create a math holiday, too? Try one of these sign generators:

What kind of math will you celebrate? Leave a link to your Happy Math Day post in the comments below!

Math Teachers at Play #87 via CavMaths

mtap87

Puzzles, comics, problem-solving, and mathy conversations with kids‌—‌you’ll find all this and more at the new math education blog carnival. Check it out, click some links, and enjoy!

“Hello, and welcome to the 87th Edition of the monthly blog carnival “Math(s) Teachers at Play”. For those of you unaware, a blog carnival is a periodic post that travels from blog to blog. They take the form of a compilation post and contain links to current and recent posts on a similar topic. This is one of two English language blog carnivals around mathematics…

This month has been fairly busy in the way of maths blogs and we have a treat for you, so to start the carnival here are the submissions we received…”

Click here to go read Math(s) Teachers at Play 87.