{"version":"1.0.0","segments":[{"speaker":"Pam Harris","startTime":0.96,"endTime":3.33,"body":"Hey fellow"},{"speaker":"Pam Harris","startTime":0.96,"endTime":3.33,"body":"mathematicians. Welcome to the"},{"speaker":"Pam Harris","startTime":3.33,"endTime":6.93,"body":"podcast where Math is"},{"speaker":"Pam Harris","startTime":3.33,"endTime":6.93,"body":"Figure-Out-Able. I'm Pam."},{"speaker":"Kim Montague","startTime":7.2,"endTime":7.92,"body":"And I'm Kim."},{"speaker":"Pam Harris","startTime":8.16,"endTime":12.15,"body":"And this episode is"},{"speaker":"Pam Harris","startTime":8.16,"endTime":12.15,"body":"a MathStratChat episode. What is"},{"speaker":"Pam Harris","startTime":12.18,"endTime":15.24,"body":"MathStratChat? Every Wednesday"},{"speaker":"Pam Harris","startTime":12.18,"endTime":15.24,"body":"evening, I throw out a math"},{"speaker":"Pam Harris","startTime":15.24,"endTime":18.24,"body":"problem on Twitter, Facebook and"},{"speaker":"Pam Harris","startTime":15.24,"endTime":18.24,"body":"Instagram. People from around"},{"speaker":"Pam Harris","startTime":18.24,"endTime":21.21,"body":"the world chat about the"},{"speaker":"Pam Harris","startTime":18.24,"endTime":21.21,"body":"strategies they use. It is super"},{"speaker":"Pam Harris","startTime":21.21,"endTime":22.44,"body":"fun to see everyone's thinking."},{"speaker":"Kim Montague","startTime":23.01,"endTime":25.974,"body":"So this Wednesday,"},{"speaker":"Kim Montague","startTime":23.01,"endTime":25.974,"body":"our math problem was three"},{"speaker":"Kim Montague","startTime":26.04,"endTime":30.06,"body":"fourths of 15. How would you"},{"speaker":"Kim Montague","startTime":26.04,"endTime":30.06,"body":"solve this problem? Go ahead and"},{"speaker":"Kim Montague","startTime":30.125,"endTime":33.947,"body":"pause the podcast, solve the"},{"speaker":"Kim Montague","startTime":30.125,"endTime":33.947,"body":"problem any way you want. The"},{"speaker":"Kim Montague","startTime":34.013,"endTime":38.23,"body":"problem is three fourths of 15."},{"speaker":"Kim Montague","startTime":34.013,"endTime":38.23,"body":"Solve it, then come back to hear"},{"speaker":"Kim Montague","startTime":38.295,"endTime":42.446,"body":"how we solved it and go. (pause)"},{"speaker":"Kim Montague","startTime":38.295,"endTime":42.446,"body":"Okay, Pam, is it okay with you"},{"speaker":"Kim Montague","startTime":42.512,"endTime":44.16,"body":"if I go first, this time?"},{"speaker":"Pam Harris","startTime":44.16,"endTime":45.18,"body":"You can go first"},{"speaker":"Pam Harris","startTime":44.16,"endTime":45.18,"body":"this time."},{"speaker":"Kim Montague","startTime":45.27,"endTime":46.2,"body":"Okay, cool."},{"speaker":"Pam Harris","startTime":46.41,"endTime":46.83,"body":"All right."},{"speaker":"Kim Montague","startTime":46.84,"endTime":51.22,"body":"So when I see"},{"speaker":"Kim Montague","startTime":46.84,"endTime":51.22,"body":"three fourths of 15, it makes me"},{"speaker":"Kim Montague","startTime":51.22,"endTime":54.37,"body":"think about how a couple of"},{"speaker":"Kim Montague","startTime":51.22,"endTime":54.37,"body":"weeks ago we had three fourths"},{"speaker":"Kim Montague","startTime":54.37,"endTime":60.43,"body":"of 10. And so I know that three"},{"speaker":"Kim Montague","startTime":54.37,"endTime":60.43,"body":"fourths of 10 is seven and a"},{"speaker":"Kim Montague","startTime":60.43,"endTime":66.61,"body":"half or 7.5. And so then,"},{"speaker":"Kim Montague","startTime":60.43,"endTime":66.61,"body":"because I needed to think about"},{"speaker":"Kim Montague","startTime":66.64,"endTime":71.08,"body":"three fourths of 10 and three"},{"speaker":"Kim Montague","startTime":66.64,"endTime":71.08,"body":"fourths of five, then that's"},{"speaker":"Kim Montague","startTime":71.08,"endTime":78.97,"body":"just half as much. And half of"},{"speaker":"Kim Montague","startTime":71.08,"endTime":78.97,"body":"7.5 is 3.75. So I have three"},{"speaker":"Kim Montague","startTime":78.97,"endTime":85.81,"body":"fourths of 10 is 7.5. And three"},{"speaker":"Kim Montague","startTime":78.97,"endTime":85.81,"body":"fourths of five is 3.75. So"},{"speaker":"Kim Montague","startTime":85.81,"endTime":86.17,"body":"together..."},{"speaker":"Pam Harris","startTime":86.86,"endTime":89.74,"body":"You just know half"},{"speaker":"Pam Harris","startTime":86.86,"endTime":89.74,"body":"of 7.5? That's the thing, you"},{"speaker":"Pam Harris","startTime":89.74,"endTime":90.04,"body":"know?"},{"speaker":"Kim Montague","startTime":90.719,"endTime":94.199,"body":"Well, I actually"},{"speaker":"Kim Montague","startTime":90.719,"endTime":94.199,"body":"know half of 75 is 37 and a"},{"speaker":"Pam Harris","startTime":94.0,"endTime":94.84,"body":"Nice. I wish I"},{"speaker":"Pam Harris","startTime":94.0,"endTime":94.84,"body":"thought about that more. I still"},{"speaker":"Pam Harris","startTime":94.199,"endTime":94.709,"body":"half."},{"speaker":"Pam Harris","startTime":94.84,"endTime":96.01,"body":"think about half of seven and"},{"speaker":"Pam Harris","startTime":94.84,"endTime":96.01,"body":"half a half to get. Okay, cool."},{"speaker":"Pam Harris","startTime":96.01,"endTime":97.57,"body":"That's half of 75. That's nice."},{"speaker":"Pam Harris","startTime":96.01,"endTime":97.57,"body":"Okay."},{"speaker":"Pam Harris","startTime":97.75,"endTime":107.02,"body":"Okay, so then together, we got"},{"speaker":"Pam Harris","startTime":97.75,"endTime":107.02,"body":"11 and a quarter, 11.25."},{"speaker":"Pam Harris","startTime":112.1,"endTime":115.94,"body":"Nice. I like that. I like it."},{"speaker":"Pam Harris","startTime":112.1,"endTime":115.94,"body":"It's interesting to me that the"},{"speaker":"Pam Harris","startTime":115.94,"endTime":119.21,"body":"way you thought about it, you"},{"speaker":"Pam Harris","startTime":115.94,"endTime":119.21,"body":"had results that someone could"},{"speaker":"Pam Harris","startTime":119.21,"endTime":124.4,"body":"have thought about a half of 15"},{"speaker":"Pam Harris","startTime":119.21,"endTime":124.4,"body":"to get like half of 15. And then"},{"speaker":"Pam Harris","startTime":124.4,"endTime":128.18,"body":"half of that? I mean, do you see"},{"speaker":"Pam Harris","startTime":124.4,"endTime":128.18,"body":"what I am saying?"},{"speaker":"Kim Montague","startTime":128.21,"endTime":131.09,"body":"Yeah, I do."},{"speaker":"Kim Montague","startTime":128.21,"endTime":131.09,"body":"Because I split (unclear)."},{"speaker":"Pam Harris","startTime":131.0,"endTime":133.4,"body":"Yeah, you end up"},{"speaker":"Pam Harris","startTime":131.0,"endTime":133.4,"body":"with the same number. So half of"},{"speaker":"Pam Harris","startTime":133.4,"endTime":135.5,"body":"15, seven and a half and then"},{"speaker":"Pam Harris","startTime":133.4,"endTime":135.5,"body":"half of that three and"},{"speaker":"Pam Harris","startTime":135.5,"endTime":138.35,"body":"(unclear). But you did three"},{"speaker":"Pam Harris","startTime":135.5,"endTime":138.35,"body":"fourths of 10 and three fourths"},{"speaker":"Pam Harris","startTime":138.35,"endTime":142.43,"body":"of five, ending up with the same"},{"speaker":"Pam Harris","startTime":138.35,"endTime":142.43,"body":"sort of partial, helped me,"},{"speaker":"Pam Harris","startTime":142.46,"endTime":143.78,"body":"partial products?"},{"speaker":"Kim Montague","startTime":144.05,"endTime":144.8,"body":"Yeah."},{"speaker":"Pam Harris","startTime":144.86,"endTime":146.15,"body":"I think that's cool."},{"speaker":"Pam Harris","startTime":144.86,"endTime":146.15,"body":"Okay."},{"speaker":"Kim Montague","startTime":146.18,"endTime":146.9,"body":"That is cool."},{"speaker":"Pam Harris","startTime":147.06,"endTime":148.41,"body":"My brain is going,"},{"speaker":"Pam Harris","startTime":147.06,"endTime":148.41,"body":"going, going."},{"speaker":"Kim Montague","startTime":148.43,"endTime":150.32,"body":"I know, I'm"},{"speaker":"Kim Montague","startTime":148.43,"endTime":150.32,"body":"staring at my paper now. Okay,"},{"speaker":"Kim Montague","startTime":150.32,"endTime":150.65,"body":"what did you do?"},{"speaker":"Pam Harris","startTime":151.05,"endTime":154.518,"body":"I feel super Kim,"},{"speaker":"Pam Harris","startTime":151.05,"endTime":154.518,"body":"like with this strategy. I'm so"},{"speaker":"Pam Harris","startTime":154.589,"endTime":158.978,"body":"proud of myself because I went"},{"speaker":"Pam Harris","startTime":154.589,"endTime":158.978,"body":"somewhere that I would not have"},{"speaker":"Pam Harris","startTime":159.049,"endTime":163.65,"body":"gone just a few years ago. So I,"},{"speaker":"Pam Harris","startTime":159.049,"endTime":163.65,"body":"somehow three fourths of 15 just"},{"speaker":"Pam Harris","startTime":163.721,"endTime":168.109,"body":"screamed at me three fourths of"},{"speaker":"Pam Harris","startTime":163.721,"endTime":168.109,"body":"16. And so three fourths of 16"},{"speaker":"Pam Harris","startTime":168.18,"endTime":172.498,"body":"that's just 12. Right? I can"},{"speaker":"Pam Harris","startTime":168.18,"endTime":172.498,"body":"just and if we have to, we could"},{"speaker":"Pam Harris","startTime":172.569,"endTime":176.675,"body":"talk about a fourth of 16 is"},{"speaker":"Pam Harris","startTime":172.569,"endTime":176.675,"body":"four and three of those 12 or"},{"speaker":"Pam Harris","startTime":176.746,"endTime":180.993,"body":"back one is... anyway. So if"},{"speaker":"Pam Harris","startTime":176.746,"endTime":180.993,"body":"three fourths of 16 is 12, then"},{"speaker":"Pam Harris","startTime":181.064,"endTime":185.311,"body":"all I have to do is subtract"},{"speaker":"Pam Harris","startTime":181.064,"endTime":185.311,"body":"three fourths of one. Oh, yeah."},{"speaker":"Pam Harris","startTime":185.382,"endTime":189.912,"body":"And three fourths of one is just"},{"speaker":"Pam Harris","startTime":185.382,"endTime":189.912,"body":"three fourths, right. So what's"},{"speaker":"Pam Harris","startTime":189.983,"endTime":194.16,"body":"12 minus three quarters. That's"},{"speaker":"Pam Harris","startTime":189.983,"endTime":194.16,"body":"just 11 and a quarter? Bam!"},{"speaker":"Kim Montague","startTime":194.1,"endTime":194.58,"body":"I like."},{"speaker":"Pam Harris","startTime":194.79,"endTime":195.24,"body":"I was really..."},{"speaker":"Kim Montague","startTime":195.24,"endTime":196.53,"body":"Oh, very over of"},{"speaker":"Kim Montague","startTime":195.24,"endTime":196.53,"body":"you."},{"speaker":"Pam Harris","startTime":196.0,"endTime":199.51,"body":"It was very over of"},{"speaker":"Pam Harris","startTime":196.0,"endTime":199.51,"body":"me and I was so excited when I"},{"speaker":"Pam Harris","startTime":199.51,"endTime":201.88,"body":"got to the fact that it was,"},{"speaker":"Pam Harris","startTime":199.51,"endTime":201.88,"body":"when I was like, \"Okay, so now I"},{"speaker":"Pam Harris","startTime":201.88,"endTime":206.2,"body":"just need to find three fourths"},{"speaker":"Pam Harris","startTime":201.88,"endTime":206.2,"body":"of ONE.\" I hadn't thought that"},{"speaker":"Pam Harris","startTime":206.2,"endTime":208.33,"body":"far ahead. I was like, \"I'm"},{"speaker":"Pam Harris","startTime":206.2,"endTime":208.33,"body":"gonna over thing.\" Because it"},{"speaker":"Pam Harris","startTime":208.33,"endTime":211.66,"body":"felt,  yeah three fourths of 16"},{"speaker":"Pam Harris","startTime":208.33,"endTime":211.66,"body":"just felt so good. And then when"},{"speaker":"Pam Harris","startTime":211.66,"endTime":214.18,"body":"I figured out all I had to do"},{"speaker":"Pam Harris","startTime":211.66,"endTime":214.18,"body":"was these three fourths of one."},{"speaker":"Pam Harris","startTime":214.21,"endTime":217.48,"body":"I mean, that's a moment you all"},{"speaker":"Pam Harris","startTime":214.21,"endTime":217.48,"body":"when you're like, \"Oh, Real Math"},{"speaker":"Pam Harris","startTime":217.48,"endTime":218.71,"body":"is so cool!\""},{"speaker":"Kim Montague","startTime":218.77,"endTime":219.76,"body":"It's really nice."},{"speaker":"Pam Harris","startTime":219.76,"endTime":220.57,"body":"It's really cool."},{"speaker":"Pam Harris","startTime":219.76,"endTime":220.57,"body":"All right."},{"speaker":"Kim Montague","startTime":220.57,"endTime":221.29,"body":"Well done."},{"speaker":"Pam Harris","startTime":222.07,"endTime":222.46,"body":"You too."},{"speaker":"Kim Montague","startTime":222.85,"endTime":225.94,"body":"Okay, so we can't"},{"speaker":"Kim Montague","startTime":222.85,"endTime":225.94,"body":"wait to see your math strategy."},{"speaker":"Kim Montague","startTime":225.97,"endTime":229.03,"body":"I wonder if your strategy was"},{"speaker":"Kim Montague","startTime":225.97,"endTime":229.03,"body":"like one of ours or something"},{"speaker":"Kim Montague","startTime":229.06,"endTime":232.27,"body":"entirely different. Represent"},{"speaker":"Kim Montague","startTime":229.06,"endTime":232.27,"body":"your thinking, take a picture of"},{"speaker":"Kim Montague","startTime":232.27,"endTime":234.46,"body":"your work or just take a"},{"speaker":"Kim Montague","startTime":232.27,"endTime":234.46,"body":"screenshot on your phone and"},{"speaker":"Kim Montague","startTime":234.46,"endTime":237.97,"body":"tell the world on social media."},{"speaker":"Kim Montague","startTime":234.46,"endTime":237.97,"body":"And while you're there, we'd"},{"speaker":"Kim Montague","startTime":237.97,"endTime":240.28,"body":"love it if you check out what"},{"speaker":"Kim Montague","startTime":237.97,"endTime":240.28,"body":"other people did and comment on"},{"speaker":"Kim Montague","startTime":240.28,"endTime":241.0,"body":"their thinking."},{"speaker":"Pam Harris","startTime":241.3,"endTime":243.85,"body":"Yeah, and tag me on"},{"speaker":"Pam Harris","startTime":241.3,"endTime":243.85,"body":"Twitter: @PWHarris. Or"},{"speaker":"Instagram","startTime":243.85,"endTime":248.05,"body":"Pam Harris_math. Or"},{"speaker":"Instagram","startTime":243.85,"endTime":248.05,"body":"Facebook: Pam Harris, Author"},{"speaker":"Instagram","startTime":248.05,"endTime":251.77,"body":"Mathematics Education. That is a"},{"speaker":"Instagram","startTime":248.05,"endTime":251.77,"body":"mouthful, and use the hashtag"},{"speaker":"Instagram","startTime":251.8,"endTime":255.28,"body":"MathStratChat. And make sure you"},{"speaker":"Instagram","startTime":251.8,"endTime":255.28,"body":"check out the MathStratChat"},{"speaker":"Instagram","startTime":255.28,"endTime":258.76,"body":"problem that we'll post next"},{"speaker":"Instagram","startTime":255.28,"endTime":258.76,"body":"Wednesday around 7pm Central"},{"speaker":"Instagram","startTime":258.76,"endTime":262.42,"body":"time, then pop back here to hear"},{"speaker":"Instagram","startTime":258.76,"endTime":262.42,"body":"what we're thinking about the"},{"speaker":"Instagram","startTime":262.42,"endTime":265.54,"body":"problem. We love having you as"},{"speaker":"Instagram","startTime":262.42,"endTime":265.54,"body":"part of the Math is"},{"speaker":"Instagram","startTime":265.57,"endTime":268.57,"body":"Figure-Out-Able movement. Let's"},{"speaker":"Instagram","startTime":265.57,"endTime":268.57,"body":"keep spreading the word that"},{"speaker":"Instagram","startTime":268.57,"endTime":270.22,"body":"Math is Figure-Out-Able."}]}