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 1, 2023
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on November 1, 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 podcast where Math is Figure-Out-Able! I'm Pam Harris.
Kim 00:07
And I'm Kim Montague.
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 each other's thinking.
Kim 00:23
Okay, so this last Wednesday, our math problem was 249 plus 252. How are you thinking about this problem? Pause the podcast, solve it however you want. Remember, the problem was 249 plus 252. Solve it, and then come on back to hear how we're going to solve it.
Pam 00:41
Alright, Kim, today I am writing with a cactus pen.
Kim 00:46
Oh.
Pam 00:46
"What is a cactus pen?" you might ask. So, my daughter-in-law is about to have baby. I'm about to be grandma! And so, we had a baby shower for it, and it was super fun. And she is a succulent person.
Kim 00:57
Oh.
Pam 00:57
Meaning she loves cactuses, cacti. How do you say that? I don't even know. Anyway, so for the party, we had cactus pens. It's this brilliant green... You don't care. But it writes very nicely. It's actually a really nice. The only bummer is the lid doesn't fit. Like it's a... Anyway.
Kim 01:16
Would she... If I brought her some of my planters in the back, would she fill them with succelents? Oh my gosh, I...
Pam 01:21
She would love that!
Kim 01:22
Okay, we'll talk. Alright, solve the problem. Solve the problem.
Pam 01:25
Alright, 249 and 252. So, when I look at that problem...I'm just going to go first because...it feels a lot like 250.
Kim 01:33
Yeah.
Pam 01:33
Like, it's just screaming at me. 249, 252, I just like can hear 250. So, I'm thinking if I was just going to double 250, that's 500. But 249 would be down 1, so that would be 499. But 252 is then up 2, so that's 501.
Kim 01:55
I like it.
Pam 01:56
That's how I'm thinking about it. What were you thinking about?
Kim 01:58
Yeah. Maybe everybody should know we don't... We haven't seen the problems, right?
Pam 02:02
Yeah, these are cold.
Kim 02:04
Yeah, cold problems. So, I see the 250, 250 also. But then, when you started talking, I looked at it, and the other thing I thought was... I kinda thought 490 and 11. Which is kind of weird, maybe. But you know, I do...
Pam 02:21
Kind of weird? That's super weird. What do you? Where? (unclear).
Kim 02:25
So, I kind of stripped away the 240 and the 250 and called that 490.
Pam 02:30
240 and 250 is 490. Okay, okay.
Kim 02:34
And then, I know the 9 and 2 is 11. So you know, like...
Pam 02:38
Huh.
Kim 02:39
Kind of before I had a ton of ways to verbalize, what I would describe is I often did left to right. You know, before I got maybe more sophisticated?
Pam 02:49
Mmhm.
Kim 02:49
So, I was okay with the 240 and 250 being 490.
Pam 02:53
Mmhm. And then, you just tacked on the 11 after that?
Kim 02:56
Yeah, there was no difficulty with place value left, right. And then, I just added the 11.
Pam 03:02
And 490 and 11 is also 501. Okay, that totally works.
Kim 03:05
I think I would have done Over if the 249 was the second add in.
Pam 03:11
Ah. What would that have looked like? Like 252 plus 250?
Kim 03:16
Yeah.
Pam 03:17
So, that's 502.
Kim 03:18
502. And then, backup 1. Yeah.
Pam 03:20
And then, backup 1.
Kim 03:21
Yeah.
Pam 03:22
Oh, that makes a lot of sense. If that one. Yeah, nice. Cool.
Kim 03:26
Alright, we can't wait to see what you guys are thinking. If your strategy was like my weird strategy, or you saw the 250 like Pam, we'd love to hear that. Or you might be thinking of something entirely different. Represent your thinking because we'd love to see the modeling. Take a picture and screenshot your phone. Tell the world on social media. And while you're there, do the very important work of checking out other people's thinking and comment on their work.
Pam 03:51
Yeah, and tag me on social media. And make sure that you use the hashtag MathStratChat. And make sure you check out the next MathStratChat problem that we'll post on Wednesdays around 7pm Central Time. 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. Let's keep spreading the word that Math is Figure-Out-Able!