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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 - February 19, 2025
In today’s MathStratChat, Pam and Kim discuss the MathStratChat problem shared on social media on February 19, 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 00:06
And I'm Kim
Pam 00:07
And this episode is a MathStratChat episode because we chat about our math strategies. Every Wednesday evening, I'll 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 00:20
Okay, this Wednesday, our math problem was 8 times 75. How would you solve this problem? Pause. Solve it however you'd like. The problem is 8 times 75.
Pam 00:30
Alright, ya'll, we're supposed to actually pause and solve that, and then come back. Here we are. KK, Kim, let's see. I'm going to go first this time, if you don't mind.
Kim 00:38
Yeah.
Pam 00:39
I would like to use an Over strategy.
Kim 00:41
Okie doke.
Pam 00:42
So, I'm going to think about ten 75s.
Kim 00:45
Mmhm.
Pam 00:46
And that's 750. Okay, but I only need eight 75s, so two 75s is 150. So, 750 minus that 150 is 600. Final answer.
Kim 00:59
Final answer. I am going to go... You used one of my favorite strategies, so I'm going to use one you mentioned last week that is my son's favorite strategies, and that is Double Halve.
Pam 01:10
Mmm, mmhm.
Kim 01:11
And so, I know that 8 times 75 is equivalent to 4 times 150. And I won't stop there, but I'll Double/Halve again, and I'll say that that is equivalent to 2 times 300. And I'm going to stop there because that is 600.
Pam 01:29
Awesome. I have a question.
Kim 01:30
Yeah?
Pam 01:31
Could you think about 8 times 75 using quarters? I don't do that well yet.
Kim 01:40
It's so funny because when you said ten 75s, I wondered if you were thinking about, like if you pictured the 3 quarters. I think it depends on how many 75s we're talking about.
Pam 01:52
Okay.
Kim 01:53
So, I don't know that I specifically thought about 3 quarters here.
Pam 02:00
I don't think you did, but could you?
Kim 02:03
Sure, and then I'd put...
Pam 02:06
I want to learn. I want to learn. I want to learn how you would think about quarters.
Kim 02:11
Well, I think that I would do... It's kind of like 8 times 25 times 3.
Pam 02:20
Okay.
Kim 02:21
So, then the 25 times 3 is the 3 quarters.
Pam 02:25
Mmhm.
Kim 02:26
So, then I would think, for each of the... Oh, how to explain. So, then I would have 24 quarters because I have 8 times 25 times 3.
Pam 02:39
Oh, okay, yeah.
Kim 02:40
So, then I know I have 24 quarters. But then I'd do some work to figure out the 24 quarters.
Pam 02:47
Okay, so I also got 8 times 3 times 25.
Kim 02:51
Mmhm.
Pam 02:52
And then I thought about 8 quarters to get 200.
Kim 02:58
Mmhm.
Pam 02:58
And then scaled that times 3.
Kim 03:00
Mmhm, that's great.
Pam 03:01
Okay, so I'm getting better.
Kim 03:02
Yeah, yeah.
Pam 03:02
I have to force myself to do that. That took some...
Kim 03:05
Well, good for you! That's fantastic! Yeah!
Pam 03:07
I want my brain to go there next time.
Kim 03:09
Yeah, okay. Super. Alright, well, we can't wait, every week, to see what you guys do in MathStratChat. Join us and let us know how you're thinking about the problems, and please comment on each other's strategies. People we love that.
Pam 03:21
Yeah, we do love it. We'll post the problems on Wednesday around 7:00 pm Central. When you answer, tag me, and use the hashtag MathStratChat, and then join us here to hear how we're thinking about the problem. We love having you as part of the Math is Figure-Out-Able movement. Math is Figure-Out-Able!