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 - July 3, 2024
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on July 3, 2024.
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 we actually believe 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 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 thinking. What is so funny?
Kim 00:21
I was just thinking that if anyone tries to listen to this on double time, they're like, "No."
Pam 00:27
Somebody told me... No, somebody told me a week ago that they totally listened to us on double time, and I was like, "Wow! You think fast" because I often have people say to me, "Can you speak slower?" In fact, I actually had a speech guy once.
Kim 00:40
Yeah.
Pam 00:40
What is that thing called? Toastmasters. I don't know if you ever heard of Toastmasters. Yeah, I had a Toastmaster guy listen to me speak once, and he goes, "You really could be a good speaker if you slowed down." I was like, "Oh, okay."
Kim 00:53
Yeah.
Pam 00:53
Yeah, anyway. So, yeah, good luck. Good luck listening to that that fast. Go for it. (unclear).
Kim 00:57
You were especially fast just now.
Pam 00:59
Bam!
Kim 00:59
Alright, this Wednesday, the math problem was 949 plus 493. How would you solve this problem? Pause. Solve however you want. Listen, you write these problems so long ago. It's not like we've been staring at them, right?
Pam 01:17
We have not been, no. No.
Kim 01:18
These are always a fresh look, so sometimes I'm also thinking (unclear),
Pam 01:23
I mean, we could be a little behind the scenes here. We actually write these problems... Golly. Like, say I wrote like 12 problems today. Then we give them to our graphics people, and they write, they create the graphics for MathStratChat, and then, I don't know, two or three months from now, we would actually record how we solve it, right?
Kim 01:41
Yeah.
Pam 01:41
So, neither you or I have looked at them. We haven't thought about them for a very long time.
Kim 01:45
Yeah, yeah, yeah.
Pam 01:46
Here we are fresh. Alright, so the problem is.
Kim 01:48
(unclear) 949 plus 493
Pam 01:52
People are all, "Yeah, we solved it already. You guys were talking so long."
Kim 01:56
Can I go first? Because I really love something here.
Pam 01:59
Okay, go.
Kim 02:00
Alright, the problem... Well, first of all. Write the problem correctly, Kim. 940... I'm struggling today. Okay (unclear).
Pam 02:10
Hey, I got my erasable pen, so I'm on it.
Kim 02:12
The reason that I'm writing it is because what I want to do is rearrange a bit.
Pam 02:19
I had a feeling you might
Kim 02:20
Yeah. So I rearranged the digits and kept the place values. So, I actually wrote down an equation of the expression 999 plus 443. So, I just swapped the tens there.
Pam 02:39
So, instead of 949.
Kim 02:41
Yeah.
Pam 02:42
You said, "I'm going to take that 40, and I'm going to put it over. I'm going to give it to the 493." But the 493, you took the 90, and you gave it to the (unclear).
Kim 02:51
Yeah.
Pam 02:51
(unclear).
Kim 02:52
Mmhm.
Pam 02:52
Okay. And so you ended up with 999 plus 443. Nice.
Kim 02:55
Yeah. And then, you know, I just stole 1 and made it 1,000 plus 442. Which is 1,442.
Pam 03:04
Sweet! I really like it, and I think maybe you might have chosen like the most efficient of those, but I'm also going to swap place values a little bit.
Kim 03:12
Oh, okay.
Pam 03:13
So, that 949 I'm going to give away the 9. So, the 493 now becomes 499. And from that... Well, yeah. From the 493, I'm going to give that 3 back to the 940, so now it becomes 943 plus 499.
Kim 03:34
Yeah.
Pam 03:34
That's not as nice. So, that's like 942 plus 500. Yeah. So not as nice. I actually have to think about that. So, 942 plus 100 would be 1,042 plus 400 is 1,442.
Kim 03:52
Yeah.
Pam 03:52
I had to get over the 1,000 in order to add the other 400.
Kim 03:55
Yeah.
Pam 03:56
Yeah. Oh, well. Okay cool. I'm looking at it, wondering if there was something better to do. But I'm not sure.
Kim 04:03
I love that. Don't we wish all kids did that? All people would do that?
Pam 04:07
Like be able to swap those place (unclear)?
Kim 04:09
No. Would say, "I wonder if there was something else..."
Pam 04:12
Oh, yeah.
Kim 04:12
Like, that mathematical behavior is so desirable. Okay, I did it, but I'm still thinking. I love that. (unclear)
Pam 04:18
Well, yeah. Because like right now, I'm wondering about like 440... No. 443 plus... No. I think the one you did was still the best to get to 999 because that just then just falls right out. Yeah. (unclear).
Kim 04:33
Alright. Well, we can't wait to see what you all do each week, so join us on MathStratChat and let us know how you think about the problem.
Pam 04:41
And when you're there, comment on each other's strategies. Ya'll, we post the problems on Wednesdays at 7pm Central time. When you answer, tag me, and use the hashtag MathStratChat. And then come back here to hear how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement because Math is Figure-Out-Able!