
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 - March 5, 2025
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 5, 2025.
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 mathers! Welcome to the podcast where Math is Figure-Out-Able. I'm Pam.
Kim 00:07
And I'm Kim.
Pam 00:08
And this episode is a MathStratChat episode because 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 is the best part.
Kim 00:22
It is the best part. And people love when you comment on their thinking. You know, when each other comment. That like gives you a little like puff of the chest and a high five. I love it. Okay, so this Wednesday, our math problem was 15 times 39. And we're curious, how would you solve this problem? Pause the podcast. Solve it first. The problem was 15 times 39.
Pam 00:42
Alright, Kim, I'll give you your head. What do you want to do?
Kim 00:45
I'm going to go with 15 times 40.
Pam 00:48
Choices. You're going to look at this, and you're just like, "Choices, choices."
Kim 00:51
I know, I know. I'm going to go 15 times 40.
Pam 00:53
Alright, you took mine, but I'll get another one.
Kim 00:55
Sorry. That's 600.
Pam 00:57
Okay.
Kim 00:58
Which is really, I'm kind of thinking 39 times 15 because I want fourty 15s.
Pam 01:02
Yeah.
Kim 01:03
And then back up one 15, so I think that's 585.
Pam 01:07
So because you know 15 times 40 is 600.
Kim 01:11
600, yeah.
Pam 01:11
Which you didn't say.
Kim 01:12
Oh! Oh, sorry. 15 times 40 is 600, but I have too many 15s, so I back up a 15.
Pam 01:18
Okay. And so, (unclear).
Kim 01:20
(unclear), Pam.
Pam 01:20
I did, actually. I said it out loud as you were going. Very nice. I'm going to guess that you know 15 times 4.
Kim 01:29
Yeah.
Pam 01:29
To know that 15 times 40. Do you know I did not used to know that?
Kim 01:33
Really?
Pam 01:34
Yeah. I do now. And I'm and I'm glad.
Kim 01:36
Is it because of clockwork? Like you know the clock fractions. (unclear).
Pam 01:41
You know, I just... I was the kid who memorized multiplication facts. And 15, I didn't memorize fifteens. So, it was...
Kim 01:48
Interesting.
Pam 01:49
Yeah. There was no... I didn't play with fifteens. Not until I started this work.
Kim 01:53
I am so happy for you.
Pam 01:54
Me too!
Kim 01:55
That you... Yeah.
Pam 01:57
Set me free. It's empowering. It's so empowering.
Kim 02:01
Well, and other people are really happy that you do too because a lot of work has been done over the years (unclear).
Pam 02:05
We are spreading the word (unclear).
Kim 02:07
Yeah, yeah. Alright, what you got?
Pam 02:08
Okay, so I'm thinking about fifteen 39s as ten 39s. And then I'm going to find half of those to get five 39s. I think that's what I'm going to do this time.
Kim 02:20
Yep.
Pam 02:20
So, ten 39s is 390. Half of that is 150 plus 40 is 190. You might have just seen how I just did that.
Kim 02:28
Mmhm.
Pam 02:29
And then 390 and 190 is like 400 and 180, which is 580. Whoa, I missed a 5 somewhere. If I'm going to be you, what did I do?
Kim 02:38
What did you say?
Pam 02:39
I don't know. 390. What's half of 390? Did I... Is that 195. Yes, that's where I screwed up.
Kim 02:47
Yeah.
Pam 02:48
Half of 390 is 195, so it's 585. Yeah. There was something else that I wanted to...
Kim 02:54
Wait, what did you say?
Pam 02:56
Oh, you're killing me. 585. Yeah?
Kim 02:58
No.
Pam 02:58
No.
Kim 02:59
You said 10 of them was 390.
Pam 03:01
Yeah.
Kim 03:01
Are you writing anything down?
Pam 03:02
I am.
Kim 03:02
And then 5... Write it down. And 5...
Pam 03:05
Write that down.
Kim 03:06
...is how much you say?
Pam 03:07
195.
Kim 03:08
Ah, I wrote down 145. It's me. It's not you.
Pam 03:11
Okay. 4. 9. They kind of look the same. It's all good. I'm kind of... I don't know if this is going to work, but you taught me that mathematicians try things, and then they might just back out of them if they don't go well.
Kim 03:22
Oh, sure. Yeah.
Pam 03:23
So, I'm super... Now, what was I going to do? Now, I've lost my train of thought. Come back, come back, come back.
Kim 03:28
Oh, I wonder something.
Pam 03:31
Well, I thought for a second about Doubling and Having, but that's dumb, right? Because then you would have 30 times 19.5. I mean, you could do that.
Kim 03:41
Mmhm.
Pam 03:42
Twenty 30s, and then get rid of half of a 30.
Kim 03:46
I mean, listen, it's just kind of fun to play. I don't know that there's...
Pam 03:49
Close to yours, right? If I do twenty 30s, that's like your fourty 15s. And then you subtracted one 15, and I would subtract half of 30.
Kim 03:59
Mmhm.
Pam 04:01
So, that's actually cool how it's connected. What were you playing with?
Kim 04:03
I just wrote down 15 times 39. And then I wrote 15 times 3 times 13.
Pam 04:10
Oh.
Kim 04:11
And I was going to wonder if I know anything about 45 times 13, which I thought at first was pretty gross. But also I know that 45 times 3 is 135, so it's just 450 plus
Pam and Kim 04:23
135.
Kim 04:24
Yeah.
Pam 04:24
Oh, that's not bad.
Kim 04:25
I don't know that I like, you know, love that problem, but it's kind of fun to mess around with it.
Pam 04:30
fifty 13s minus five 13s? No, I don't like that so much. Ha, nice. Okay, cool.
Kim 04:35
Alright.
Pam 04:35
That was fun.
Kim 04:37
We can't wait to see what you all do every week. Join us on MathStratChat, and let us know how you think about the problem and comment on each other's strategies.
Pam 04:45
We post the problems on Wednesday around 7:00 pm Central time. When you answer, tag me and use the hashtag MathStratChat. Then join us to hear how we're thinking about the problem. Thanks for being part of the Math is Figure-Out-Able movement! Math is Figure-Out-Able!