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 20, 2024
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on March 20, 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 mathematicians! Welcome to the podcast where Math is Figure-Out-Able! I'm Pam Harris.
Kim 00:06
And I'm Kim Montague.
Pam 00:07
And 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 others thinking. Hey, Kim.
Kim 00:22
Hey, we did a problem last week and this week. It was 144 minus 36. What is wrong with me?
Pam 00:29
Hey, Kim. How's it going?
Kim 00:30
Hi.
Pam 00:33
(unclear)
Kim 00:33
(unclear). I really don't have this many focus issues. Oh, goodness.
Pam 00:38
You're doing great. Hey, we're all human, right? We're all human.
Kim 00:42
144 minus 36. That's the problem. Ya'll, pause and solve it, and then come back to hear how we're going to solve it.
Pam 00:49
Whether you want it or not. That's the problem. Bam.
Kim 00:52
Alright.
Pam 00:53
Okay.
Kim 00:54
You want to go first or you want me to? I'm going to go first. I'm going to go.
Pam 00:56
Yep, go ahead, go ahead.
Kim 00:57
Alright, I... Oh, I kind of like 144. But I'm going to go 144 minus 36 is not super nice. So, I'm going to shift that problem up a bit, and I'm going to shift it by 4, so I can do what you love and have the friendly number be what I'm subtracting. So, I'm going to go my new problem that's equivalent is 148 minus 40. And that's just 108.
Pam 01:25
Nice, nice. Just an equivalent problem. Finding the difference (unclear) shifted up.
Kim 01:29
Yep.
Pam 01:29
Very cool. I'm going to think a little multiplicatively.
Kim 01:32
Okie dokie.
Pam 01:33
So, I'm thinking about 144 as twelve 12s and 36 as three 12s.
Kim 01:40
Yep.
Pam 01:40
And so, twelve 12 minus three 12s is nine 12s. Now, that's a little tricky because at that point do I know nine 12s? Well, I'm so glad that you went first because I can look at your 108, and go, "Yeah, that is nine 12s. Bam." Otherwise, I'll be honest, nine 12s, I have to think about just a little bit. And I usually do something like it's not 84. It's not 96 Oh, it's gotta be 108.
Kim 02:03
Yeah, yeah. You know what, though?
Pam 02:04
(unclear). Yeah.
Kim 02:06
Some people would say, "Oh, well, students can't do that." There's a lot of kids who, for whatever reason, love the 12. I don't know what it is Cooper, my younger, like was obsessed with the 12. And when he was in third grade, and he was probably not paying attention like his mom. You know, he would like do all kinds of weird things with 12s for, I don't know, is it because it's the biggest fact? I'm not sure. But he owns 12 super well to really high numbers. So, you know, why not (unclear).
Pam 02:34
I mean, there's some super nice things that you can do with them. Yeah, absolutely.
Kim 02:38
Alright, everyone, we want to see your strategy. What are you doing? Bring some new stuff to us. Is it anything like ours or something super cool and different? Represent your thinking. And when you get there on social media to post your thinking, comment on other people's thinking.
Pam 02:53
Yeah, and tag me and use the hashtag MathStratChat. And check out our next MathStratChat problem that we'll post Wednesday evenings around 7, Central Time, and pop back here to hear how we're thinking about the problem. Thank you for being part of the Math is Figure-Out-Able movement. Because Math is Figure-Out-Able!