{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":0.9,"endTime":4.17,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":0.9,"endTime":4.17,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.17,"endTime":7.41,"body":"Math is Figure-Out-Able. I'm Pam"},{"speaker":"Pam","startTime":4.17,"endTime":7.41,"body":"Harris."},{"speaker":"Kim","startTime":7.71,"endTime":8.73,"body":"And I'm Kim Montague."},{"speaker":"Pam","startTime":8.88,"endTime":12.66,"body":"And this episode is a"},{"speaker":"Pam","startTime":8.88,"endTime":12.66,"body":"MathStratChat episode. What is"},{"speaker":"Pam","startTime":12.69,"endTime":15.33,"body":"MathStratChat? Well, every"},{"speaker":"Pam","startTime":12.69,"endTime":15.33,"body":"Wednesday evening, I throw out a"},{"speaker":"Pam","startTime":15.33,"endTime":17.97,"body":"math problem on Twitter,"},{"speaker":"Pam","startTime":15.33,"endTime":17.97,"body":"Facebook, Instagram, any social"},{"speaker":"Pam","startTime":17.97,"endTime":21.06,"body":"media we can find, and people"},{"speaker":"Pam","startTime":17.97,"endTime":21.06,"body":"from around the world chat about"},{"speaker":"Pam","startTime":21.06,"endTime":24.33,"body":"the strategies they use. About"},{"speaker":"Pam","startTime":21.06,"endTime":24.33,"body":"one percent of the time someone"},{"speaker":"Pam","startTime":24.33,"endTime":27.24,"body":"uses an algorithm. It's not very"},{"speaker":"Pam","startTime":24.33,"endTime":27.24,"body":"interesting, so we focus on the"},{"speaker":"Pam","startTime":27.24,"endTime":29.88,"body":"thinking that everyone else is"},{"speaker":"Pam","startTime":27.24,"endTime":29.88,"body":"doing. And it's super fun."},{"speaker":"Kim","startTime":30.66,"endTime":33.84,"body":"So, this Wednesday, our"},{"speaker":"Kim","startTime":30.66,"endTime":33.84,"body":"math problem was eleven-twelfths"},{"speaker":"Kim","startTime":33.87,"endTime":37.65,"body":"minus three-fourths. How would"},{"speaker":"Kim","startTime":33.87,"endTime":37.65,"body":"you solve this problem? Pause"},{"speaker":"Kim","startTime":37.65,"endTime":40.86,"body":"the podcast, solve it any way"},{"speaker":"Kim","startTime":37.65,"endTime":40.86,"body":"you want. The problem was"},{"speaker":"Kim","startTime":40.92,"endTime":43.86,"body":"eleven-twelfths minus"},{"speaker":"Kim","startTime":40.92,"endTime":43.86,"body":"three-fourths. Solve it, and"},{"speaker":"Kim","startTime":43.86,"endTime":45.6,"body":"then come back to hear how we"},{"speaker":"Kim","startTime":43.86,"endTime":45.6,"body":"solve it."},{"speaker":"Pam","startTime":46.53,"endTime":50.01,"body":"Alright, I'm going to go"},{"speaker":"Pam","startTime":46.53,"endTime":50.01,"body":"first today, Kim. I'm just going"},{"speaker":"Pam","startTime":50.01,"endTime":54.39,"body":"to do sort of what I would call"},{"speaker":"Pam","startTime":50.01,"endTime":54.39,"body":"a kind of a direct time"},{"speaker":"Pam","startTime":54.39,"endTime":58.71,"body":"strategy. I'm going to think"},{"speaker":"Pam","startTime":54.39,"endTime":58.71,"body":"about eleven-twelfths. And I'm"},{"speaker":"Pam","startTime":58.71,"endTime":63.39,"body":"picturing 11 on a clock. And I"},{"speaker":"Pam","startTime":58.71,"endTime":63.39,"body":"know that that's the 55 minute"},{"speaker":"Pam","startTime":63.39,"endTime":63.9,"body":"mark."},{"speaker":"Kim","startTime":64.41,"endTime":64.89,"body":"Okay."},{"speaker":"Pam","startTime":65.01,"endTime":69.48,"body":"So, 55 minutes. And then,"},{"speaker":"Pam","startTime":65.01,"endTime":69.48,"body":"3/4 of an hour is 45 minutes."},{"speaker":"Pam","startTime":69.48,"endTime":74.82,"body":"And bam! 55 minutes minus 45"},{"speaker":"Pam","startTime":69.48,"endTime":74.82,"body":"minutes is 10 minutes. And I got"},{"speaker":"Pam","startTime":74.82,"endTime":77.46,"body":"to be honest. As I was writing"},{"speaker":"Pam","startTime":74.82,"endTime":77.46,"body":"this, I actually wrote 55"},{"speaker":"Pam","startTime":77.58,"endTime":83.58,"body":"divided by 60. Like, \"fraction"},{"speaker":"Pam","startTime":77.58,"endTime":83.58,"body":"bar\" 60. So 55/60 minus 45/60."},{"speaker":"Pam","startTime":83.61,"endTime":86.55,"body":"Even though I only said 55"},{"speaker":"Pam","startTime":83.61,"endTime":86.55,"body":"minutes minus 45 minutes."},{"speaker":"Kim","startTime":86.79,"endTime":87.0,"body":"Yeah."},{"speaker":"Pam","startTime":87.0,"endTime":91.65,"body":"And that's 10/60. And then,"},{"speaker":"Pam","startTime":87.0,"endTime":91.65,"body":"I can think about those 10"},{"speaker":"Pam","startTime":92.1,"endTime":97.17,"body":"minutes out of the 60 minutes."},{"speaker":"Pam","startTime":92.1,"endTime":97.17,"body":"And I know that that's one 10"},{"speaker":"Pam","startTime":97.17,"endTime":99.63,"body":"minute chunk out of the six 10"},{"speaker":"Pam","startTime":97.17,"endTime":99.63,"body":"minute chunks, so that's"},{"speaker":"Pam","startTime":99.63,"endTime":101.07,"body":"equivalent to one-sixth."},{"speaker":"Kim","startTime":101.73,"endTime":102.33,"body":"Nice."},{"speaker":"Pam","startTime":102.72,"endTime":103.23,"body":"Cool, what did you do?"},{"speaker":"Kim","startTime":103.23,"endTime":104.64,"body":"I also thought about time."},{"speaker":"Pam","startTime":104.76,"endTime":105.09,"body":"Okay."},{"speaker":"Kim","startTime":105.24,"endTime":107.7,"body":"But I was kind of picturing"},{"speaker":"Kim","startTime":105.24,"endTime":107.7,"body":"the clock maybe a little bit"},{"speaker":"Kim","startTime":107.7,"endTime":110.88,"body":"differently. When I saw"},{"speaker":"Kim","startTime":107.7,"endTime":110.88,"body":"eleven-twelfths, I kind of"},{"speaker":"Kim","startTime":110.88,"endTime":115.65,"body":"looked at where the 11 would be,"},{"speaker":"Kim","startTime":110.88,"endTime":115.65,"body":"and I was thinking about those"},{"speaker":"Kim","startTime":115.65,"endTime":120.93,"body":"were 5 minute chunks. And so, I"},{"speaker":"Kim","startTime":115.65,"endTime":120.93,"body":"guess I kind of thought about 55"},{"speaker":"Kim","startTime":120.93,"endTime":127.08,"body":"minutes, but it was the eleven 5"},{"speaker":"Kim","startTime":120.93,"endTime":127.08,"body":"minute chunks. Does that make"},{"speaker":"Kim","startTime":127.08,"endTime":127.53,"body":"sense?"},{"speaker":"Pam","startTime":127.53,"endTime":127.56,"body":"Mmhmm."},{"speaker":"Kim","startTime":128.699,"endTime":133.079,"body":"And then, I was thinking"},{"speaker":"Kim","startTime":128.699,"endTime":133.079,"body":"about the three-fourths, where"},{"speaker":"Kim","startTime":133.109,"endTime":137.579,"body":"three-fourths would be on the"},{"speaker":"Kim","startTime":133.109,"endTime":137.579,"body":"clock. And so, that would put"},{"speaker":"Kim","startTime":137.579,"endTime":140.369,"body":"me... Like, I kind of pictured a"},{"speaker":"Kim","startTime":137.579,"endTime":140.369,"body":"pie to be honest with you."},{"speaker":"Kim","startTime":140.399,"endTime":145.319,"body":"Three-fourths would put me on"},{"speaker":"Kim","startTime":140.399,"endTime":145.319,"body":"the nine 5 minute chunks."},{"speaker":"Pam","startTime":145.8,"endTime":145.83,"body":"Mmhmm."},{"speaker":"Kim","startTime":146.01,"endTime":148.53,"body":"So, the minute hand would"},{"speaker":"Kim","startTime":146.01,"endTime":148.53,"body":"be on the 9. So, then I thought"},{"speaker":"Kim","startTime":148.53,"endTime":154.65,"body":"about 11/12 minus 9/12 would be"},{"speaker":"Kim","startTime":148.53,"endTime":154.65,"body":"2/12, which is equivalent to"},{"speaker":"Kim","startTime":154.65,"endTime":155.58,"body":"1/6."},{"speaker":"Pam","startTime":156.0,"endTime":156.39,"body":"Cool."},{"speaker":"Kim","startTime":157.08,"endTime":157.5,"body":"Yeah."},{"speaker":"Pam","startTime":157.68,"endTime":159.93,"body":"When you got to the 2/12,"},{"speaker":"Pam","startTime":157.68,"endTime":159.93,"body":"did you... Oh, sorry. What were"},{"speaker":"Pam","startTime":159.93,"endTime":160.29,"body":"you going to say?"},{"speaker":"Kim","startTime":160.32,"endTime":161.22,"body":"No, go ahead, go ahead."},{"speaker":"Pam","startTime":161.34,"endTime":163.53,"body":"When you got to"},{"speaker":"Pam","startTime":161.34,"endTime":163.53,"body":"two-twelfths. Did you just"},{"speaker":"Pam","startTime":163.53,"endTime":165.57,"body":"like... That just screams"},{"speaker":"Pam","startTime":163.53,"endTime":165.57,"body":"one-sixth? Or did you think"},{"speaker":"Pam","startTime":165.57,"endTime":167.31,"body":"about it in terms of chunks of"},{"speaker":"Pam","startTime":165.57,"endTime":167.31,"body":"time?"},{"speaker":"Kim","startTime":167.82,"endTime":170.49,"body":"I didn't. It just screamed"},{"speaker":"Kim","startTime":167.82,"endTime":170.49,"body":"one-sixth to me."},{"speaker":"Pam","startTime":170.58,"endTime":172.83,"body":"Could you? Could you think"},{"speaker":"Pam","startTime":170.58,"endTime":172.83,"body":"about two-twelfths?"},{"speaker":"Kim","startTime":174.63,"endTime":176.31,"body":"Two-twelfths... Well, it's"},{"speaker":"Kim","startTime":174.63,"endTime":176.31,"body":"kind of like what I said a"},{"speaker":"Kim","startTime":176.31,"endTime":182.52,"body":"couple of weeks ago where 2/12"},{"speaker":"Kim","startTime":176.31,"endTime":182.52,"body":"then actually makes me think of"},{"speaker":"Kim","startTime":182.61,"endTime":187.62,"body":"10 minutes out of 60 minutes,"},{"speaker":"Kim","startTime":182.61,"endTime":187.62,"body":"which is equivalent to 1/6."},{"speaker":"Pam","startTime":188.01,"endTime":189.45,"body":"Yeah, totally. Cool."},{"speaker":"Kim","startTime":189.45,"endTime":189.66,"body":"Yeah."},{"speaker":"Pam","startTime":189.84,"endTime":190.65,"body":"You were going to say"},{"speaker":"Pam","startTime":189.84,"endTime":190.65,"body":"something?"},{"speaker":"Kim","startTime":192.24,"endTime":193.41,"body":"No, I don't think so."},{"speaker":"Pam","startTime":193.74,"endTime":194.52,"body":"Nice. Alright."},{"speaker":"Kim","startTime":194.52,"endTime":195.45,"body":"I don't remember what I was"},{"speaker":"Kim","startTime":194.52,"endTime":195.45,"body":"going to say."},{"speaker":"Kim","startTime":195.84,"endTime":199.56,"body":"Okay, listeners, we can't wait"},{"speaker":"Kim","startTime":195.84,"endTime":199.56,"body":"to hear your math strategy. I"},{"speaker":"Kim","startTime":199.56,"endTime":202.62,"body":"wonder if it was like Pam's, or"},{"speaker":"Kim","startTime":199.56,"endTime":202.62,"body":"like mine, or something entirely"},{"speaker":"Kim","startTime":202.62,"endTime":205.29,"body":"different. Represent your"},{"speaker":"Kim","startTime":202.62,"endTime":205.29,"body":"thinking, take a picture of your"},{"speaker":"Kim","startTime":205.29,"endTime":208.68,"body":"work or screenshot your phone,"},{"speaker":"Kim","startTime":205.29,"endTime":208.68,"body":"and tell the world on social"},{"speaker":"Kim","startTime":208.68,"endTime":211.23,"body":"media, so we can see what you"},{"speaker":"Kim","startTime":208.68,"endTime":211.23,"body":"were doing. While you're there,"},{"speaker":"Kim","startTime":211.23,"endTime":213.93,"body":"check out what other people did"},{"speaker":"Kim","startTime":211.23,"endTime":213.93,"body":"and comment on their thinking."},{"speaker":"Pam","startTime":214.26,"endTime":217.29,"body":"Yeah, and what do you do?"},{"speaker":"Pam","startTime":214.26,"endTime":217.29,"body":"Tag me on Twitter at @PWHarris."},{"speaker":"Pam","startTime":217.32,"endTime":221.28,"body":"Or Instagram, PamHarris_math. Or"},{"speaker":"Pam","startTime":217.32,"endTime":221.28,"body":"Facebook, Pam Harris, author,"},{"speaker":"Pam","startTime":221.28,"endTime":223.65,"body":"mathematics education. Or you"},{"speaker":"Pam","startTime":221.28,"endTime":223.65,"body":"can also look Math is"},{"speaker":"Pam","startTime":223.68,"endTime":227.55,"body":"Figure-Out-Able and use the"},{"speaker":"Pam","startTime":223.68,"endTime":227.55,"body":"hashtag MathStratChat. So, make"},{"speaker":"Pam","startTime":227.55,"endTime":231.36,"body":"sure you check out our"},{"speaker":"Pam","startTime":227.55,"endTime":231.36,"body":"MathStratChat problem every week"},{"speaker":"Pam","startTime":231.36,"endTime":233.82,"body":"that we post on Wednesday"},{"speaker":"Pam","startTime":231.36,"endTime":233.82,"body":"evenings here in the States in"},{"speaker":"Pam","startTime":233.82,"endTime":237.51,"body":"Central Time, and then pop back"},{"speaker":"Pam","startTime":233.82,"endTime":237.51,"body":"here to hear how we are thinking"},{"speaker":"Pam","startTime":237.51,"endTime":240.6,"body":"about the problem. We love"},{"speaker":"Pam","startTime":237.51,"endTime":240.6,"body":"having you as part of the Math"},{"speaker":"Pam","startTime":240.6,"endTime":243.69,"body":"is Figure-Out-Able movement, so"},{"speaker":"Pam","startTime":240.6,"endTime":243.69,"body":"let's keep spreading the word"},{"speaker":"Pam","startTime":243.75,"endTime":245.52,"body":"that Math is Figure-Out-Able!"}]}