# 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 - January 10, 2023

In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on January 10, 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 **00:00

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

**Kim **00:07

And I'm Kim.

**Pam **00:08

And it's short because this is a MathStratChat episode, where we chat 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 each other's thinking. Which, to be clear, is the best part when ya'll comment on each other's thinking.

**Kim **00:25

Oh, for sure.

**Pam **00:26

We love that.

**Kim **00:26

Yeah, I mean, we comment on what people are doing. But when they comment on each other's? That's super cool. When they say, "I did that too!" Alright, so this week, our math problem was two-eighths times four-fifths. How would you solve this problem? Pause the podcast. Solve before you listen. The problem is two-eighths times four-fifths. Solve it, and then come on back to how here we're going to... How? Mmm. Just listen.

**Pam **00:54

How's it going? There we go. Just listen. Just do it. Just do it. Alright, Kim, you go first.

**Kim **00:59

Okay.

**Pam **01:00

Two-eighths. The fraction two-eighths times the fraction four-fifths.

**Kim **01:03

Alright, I like this one because two-eighths is one-fourth. And one-fourth of four-fifths. One-fourth of 4 anything's is just one of them. So, one-fourth of four-fifths is just one-fifth.

**Pam **01:21

Nice. And it's funny, I wrote one-fourth. I'm not sure why. But I'll fix that now.

**Kim **01:24

Lots the fours.

**Pam **01:25

Yeah, as you said it. You literally said one-fourth, and I wrote one-fourth. And I was like, "No." I had to like, "Let's fix that." Okay, so...

**Kim **01:34

Oh, I'm so mad now!

**Pam **01:36

Did you want to do something else?

**Kim **01:37

Well... No, maybe I'll do it another time.

**Pam **01:43

Well, I don't know what I think about this, but I'm going to... So, I agree with you that two-eighths is one-fourth, is equivalent to one-fourth. So, one-fourth of four-fifths. I was going to think about a fourth, one-fourth, as a half of a half.

**Kim **01:59

Okay.

**Pam **02:00

So, a half of four-fifths. One-half of four-fifths. If I had 4 things, four-fifths, one-half of that would be two-fifths.

**Kim **02:09

Okay.

**Pam **02:10

But I need a half of that because I'm finding a fourth. And fourth is half of a half. So, a half of two-fifths would be one-fifth. That would be another way of thinking about it. What was your other? The thing that you wish you would have done? Were you thinking percentages?

**Kim **02:22

I was. I was. I'll do it another time.

**Pam **02:25

You don't want to do percentages now?

**Kim **02:26

I can if you want me to, but.

**Pam **02:28

Well, were you... Now, I'm super curious. Were you thinking 80%? Like, four-fifths?

**Kim **02:34

Yeah, I was thinking a fourth of 80%, which is 20%.

**Pam **02:37

Oh, that's interesting. I was going to say 80% of a fourth. But okay.

**Kim **02:42

80% of a fourth.

**Pam **02:44

Yeah, and you just... When you said percent...

**Kim **02:47

Wait, wait, wait. 80% of a fourth?

**Pam **02:48

(unclear) Is that right?

**Kim **02:50

I don't know. Is that right? (unclear).

**Pam **02:51

Well, because then you said you would think of 1/4 of 80%.

**Kim **02:54

Yeah, yeah.

**Pam **02:55

And I had just written 80% of 1/4. (unclear)

**Kim **02:57

Do you like that better?

**Pam **02:59

No! I like yours way better.

**Kim **03:02

(unclear) That's why I was like, "Oh, I guess." It's possible.

**Pam **03:05

Especially if you think of 1/4 as like 25. 0.25. 80% of that. Yuck. No, but a fourth of 80%.

**Kim **03:11

A fourth of 80%. Yeah.

**Pam **03:13

Is what? 20%. And that's equivalent to the one-fifth that we had found. Nice.

**Kim **03:16

Yeah.

**Pam **03:17

Cool.

**Kim **03:18

Cool. Alright, everyone, we can't wait to see what you are thinking. And we mean it! Share your strategy! Represent your thinking! And while you share it with us, tell the world on social media that you love MathStratChat.

**Pam **03:30

And you might be thinking, "Why do they always tell us to post our strategies?" So, ya'll, one of the reasons is when you commit, and you actually post your strategy, A, your brain will get more ingrained. You'll feel that strategy more. You'll get that track in your brain, will be a little bit more well traveled. But secondly, it will help us spread the Math is Figure-Out-Able movement. Because the more people that will post with MathStratChat, the more the world sees people chatting about their strategies, the more we can get more people saying, "Hey, what's happening there? That's interesting." And we can open the door to mathematics, to more and more people, which we like to do. (unclear).

**Kim **04:08

And I'm not going to lie.

**Pam **04:09

Oh. Yeah?

**Kim **04:10

I much prefer seeing people who have taken a picture of their hand written work.

**Pam **04:15

Yeah, that's fun.

**Kim **04:15

It's super fun. I mean, you can type it. But if you want to be cool, take a picture of what you're writing.

**Pam **04:22

And while you're there, tag me, and use the hashtag MathStratChat. And then, check out the MathStratChat problem that we'll post every Wednesday around 7pm Central Time. And come back here, and we'll tell you how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement. Let's keep spreading the word that Math is Figure-Out-Able!