# Math is Figure-Out-Able!

Math teacher educator Pam Harris and her cohost Kim Montague answer the question: If not algorithms, then what? Join them for ~15-30 minutes every Tuesday as they cast their vision for mathematics education and give actionable items to help teachers teach math that is Figure-Out-Able. See www.MathisFigureOutAble.com for more great resources!

## Math is Figure-Out-Able!

# #MathStratChat - November 29, 2023

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 29, 2023.

Note: It’s more fun if you try to solve the problem, share it on social media, comment on others strategies, before you listen to Pam and Kim’s strategies.

Check out #MathStratChat on your favorite social media site and join in the conversation.

Twitter: @PWHarris

Instagram: Pam Harris_math

Facebook: Pam Harris, author, mathematics education

Want more? Check out the archive of all of our #MathStratChat posts!

**Pam **00:01

Hey, fellow mathematicians! Welcome to the podcast where Math is Figure-Out-Able! I'm Pam.

**Both Pam and Kim **00:09

(laughs).

**Pam **00:09

What's so funny? And your Kim.

**Kim **00:11

I wasn't listening.

**Pam **00:12

And this episode is a MathStratChat episode where we, Pam and Kim, talk about our math strategies. Every Wednesday evening, I throw out a math problem on social media and people from around the world chat about the strategies they use and comment on others thinking, Hey, Kim, it's your turn. Go.

**Kim **00:31

I do this every week. Okay, so the problem is five-tenths times four-thirds. How would you solve this problem? Pause the podcast, solve it, and come back and listen to how we're going to solve it. The problem is five-tenths times four-thirds.

**Pam **00:46

Alright, Kim, I can't wait to hear what you're thinking.

**Kim **00:48

Okay. So, I'm thinking five-tenths is half. So, I'm just saying half of four-thirds, which is two-thirds.

**Pam **00:57

And you think you can just do that. You can just think one-half of four-thirds, and you're done.

**Kim **01:02

Yep.

**Pam **01:03

Two-thirds. Nice. Okay, so since you took kind of the obvious one.

**Kim **01:07

Yep.

**Pam **01:08

I'm going to use the commutative property, and I'm going to think about... Well, I'm also going to think of five-tenths as one-half.

**Kim **01:13

Okay.

**Pam **01:14

But I'm going to think of four-thirds of one-half.

**Kim **01:16

Okay.

**Pam **01:17

So, four-thirds of anything is one of those things and another third of that thing.

**Kim **01:23

Yep.

**Pam **01:23

Four-thirds is three-thirds and one more third.

**Kim **01:26

Mmhm.

**Pam **01:26

So, four-thirds or one and a third of one-half. So, I've got one of one-half is (unclear). And a third of one-half is one-sixth.

**Kim **01:36

Yep.

**Pam **01:37

So, third of one-half is a... So, now I have a half and a sixth. And I'm thinking about that as three-sixth and one-sixth. So, that's three-sixth and one-sixth is four-sixth. And you got two-thirds, which is equivalent to my four-sixth. What do you think?

**Kim **01:53

I take it.

**Pam **01:54

Bam!

**Both Pam and Kim **01:55

(unclear).

**Kim **01:56

I'm wondering what's on your paper. Do you have something on your paper?

**Pam **01:59

I literally wrote 1 and 1/3 of. I wrote the word "of".

**Kim **02:09

Mmhm.

**Pam **02:09

One-half. And then, I wrote equals one-half plus one-sixth. And then, I wrote equals three-sixth plus one-sixth equals four-sixth.

**Kim **02:11

Mmhm. So, writing what you wrote was probably quite a bit quicker than what you just said. Yeah.

**Pam **02:19

Yeah. Yeah, it was.

**Kim **02:20

Yeah. Cool.

**Pam **02:21

And honestly, the one-half of four-thirds just being a half of four anythings is 2 of those things. That was super quick. But I decided to do something else. Because I could.

**Kim **02:30

Yeah, because it's not just about quick, right? Like having a variety of things. And we're not rushing here. So.

**Pam **02:36

I was kind of curious if I could think about thirds of tenths. Yeah. But then, when you said a half, and I was like, "Oh, yeah, it's just a half. Hey, I can think about a third of a half."

**Kim **02:45

Yeah.

**Pam **02:45

Yeah. So, why not?

**Kim **02:46

Very cool. Alright, everyone. We can't... We can't see. Because you haven't told us yet.

**Pam **02:53

So, tell us! Put it on social media!

**Kim **02:55

It's a jumbled mess sometimes. We can't wait to see what you're going to do with this problem. Solve it. Share it. Comment.

**Pam **03:04

You're just over it, aren't you? Okay.

**Kim **03:05

We love you.

**Pam **03:07

Tag me on social media when do you do. Don't tag Kim whatever because she's not going to. She's going to ignore it. And use the hashtag MathStratChat. And make sure you check out our... Oh, wow. MathStratChat problem that we post every Wednesday around 7pm Central Time, and then come back here to hear how at least I'm thinking about the problem. Whether Kim is there or not. We're not sure. We love having you as part of the Math is Figure-Out-Able movement! Thanks for spreading the word that Math is Figure-Out-Able!