{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":0.9,"endTime":4.11,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":0.9,"endTime":4.11,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.11,"endTime":7.2,"body":"Math is Figure-Out-Able! I'm"},{"speaker":"Pam","startTime":4.11,"endTime":7.2,"body":"Pam."},{"speaker":"Kim","startTime":7.47,"endTime":8.16,"body":"And I'm Kim."},{"speaker":"Pam","startTime":8.7,"endTime":12.63,"body":"And this episode is a"},{"speaker":"Pam","startTime":8.7,"endTime":12.63,"body":"MathStratChat episode. What is"},{"speaker":"Pam","startTime":12.63,"endTime":15.24,"body":"MathStratChat? Well, every"},{"speaker":"Pam","startTime":12.63,"endTime":15.24,"body":"Wednesday evening, I throw out a"},{"speaker":"Pam","startTime":15.24,"endTime":17.52,"body":"math problem on Twitter,"},{"speaker":"Pam","startTime":15.24,"endTime":17.52,"body":"Facebook, Instagram, all the"},{"speaker":"Pam","startTime":17.52,"endTime":20.46,"body":"social media, and people from"},{"speaker":"Pam","startTime":17.52,"endTime":20.46,"body":"around the world chat about the"},{"speaker":"Pam","startTime":20.46,"endTime":23.88,"body":"strategies they use. About one"},{"speaker":"Pam","startTime":20.46,"endTime":23.88,"body":"percent of the time someone uses"},{"speaker":"Pam","startTime":23.88,"endTime":26.34,"body":"an algorithm. That's not very"},{"speaker":"Pam","startTime":23.88,"endTime":26.34,"body":"interesting, so we just focus on"},{"speaker":"Pam","startTime":26.34,"endTime":29.91,"body":"what everybody else is thinking,"},{"speaker":"Pam","startTime":26.34,"endTime":29.91,"body":"and it's super fun to hear how"},{"speaker":"Pam","startTime":29.91,"endTime":31.74,"body":"people are reasoning about the"},{"speaker":"Pam","startTime":29.91,"endTime":31.74,"body":"relationships."},{"speaker":"Kim","startTime":32.159,"endTime":36.269,"body":"Absolutely. So, this"},{"speaker":"Kim","startTime":32.159,"endTime":36.269,"body":"Wednesday our math problem was"},{"speaker":"Kim","startTime":36.539,"endTime":40.799,"body":"five-sixths minus one-fourth."},{"speaker":"Kim","startTime":36.539,"endTime":40.799,"body":"How would you solve this"},{"speaker":"Kim","startTime":40.799,"endTime":44.009,"body":"problem? Pause the podcast,"},{"speaker":"Kim","startTime":40.799,"endTime":44.009,"body":"solve it any way you want."},{"speaker":"Kim","startTime":44.429,"endTime":47.909,"body":"Remember, that the problem was"},{"speaker":"Kim","startTime":44.429,"endTime":47.909,"body":"five-sixths minus one-fourth."},{"speaker":"Kim","startTime":48.059,"endTime":50.729,"body":"Solve it, and then come on back"},{"speaker":"Kim","startTime":48.059,"endTime":50.729,"body":"to hear how we solve it."},{"speaker":"Pam","startTime":51.69,"endTime":55.61,"body":"Alright, Kim. So, I've been"},{"speaker":"Pam","startTime":51.69,"endTime":55.61,"body":"thinking about what you did last"},{"speaker":"Pam","startTime":55.676,"endTime":59.531,"body":"time. I thought in our last"},{"speaker":"Pam","startTime":55.676,"endTime":59.531,"body":"problem because, listeners, you"},{"speaker":"Pam","startTime":59.597,"endTime":63.583,"body":"might notice that we're kind of"},{"speaker":"Pam","startTime":59.597,"endTime":63.583,"body":"doing problems in a sequence."},{"speaker":"Pam","startTime":63.648,"endTime":67.83,"body":"So, last week's problem could be"},{"speaker":"Pam","startTime":63.648,"endTime":67.83,"body":"somewhat related to this week's"},{"speaker":"Pam","startTime":67.896,"endTime":72.143,"body":"problem. So, this week's problem"},{"speaker":"Pam","startTime":67.896,"endTime":72.143,"body":"of five-sixths minus one-fourth,"},{"speaker":"Pam","startTime":72.209,"endTime":75.672,"body":"I decided to go with minutes."},{"speaker":"Pam","startTime":72.209,"endTime":75.672,"body":"And so, I thought about"},{"speaker":"Pam","startTime":75.737,"endTime":79.985,"body":"five-sixths of an hour. I had to"},{"speaker":"Pam","startTime":75.737,"endTime":79.985,"body":"think about what one-sixth of an"},{"speaker":"Pam","startTime":80.05,"endTime":84.036,"body":"hour is, and so a sixth of an"},{"speaker":"Pam","startTime":80.05,"endTime":84.036,"body":"hour, that's like 60 divided by"},{"speaker":"Pam","startTime":84.102,"endTime":88.023,"body":"6, is sort of 10 minutes. And"},{"speaker":"Pam","startTime":84.102,"endTime":88.023,"body":"so, a 10 minute chunk would be"},{"speaker":"Pam","startTime":88.088,"endTime":92.205,"body":"1/6 of an hour. I'm going to be"},{"speaker":"Pam","startTime":88.088,"endTime":92.205,"body":"real Kim-like, and I'm going to"},{"speaker":"Pam","startTime":92.27,"endTime":96.191,"body":"back up that one-sixth from the"},{"speaker":"Pam","startTime":92.27,"endTime":96.191,"body":"total. I could do 5 times 10"},{"speaker":"Pam","startTime":96.256,"endTime":100.308,"body":"minutes, but instead I'm going"},{"speaker":"Pam","startTime":96.256,"endTime":100.308,"body":"to take 10 minutes away from 60"},{"speaker":"Pam","startTime":100.373,"endTime":104.359,"body":"minutes, so I ended up with 50"},{"speaker":"Pam","startTime":100.373,"endTime":104.359,"body":"minutes. So, 5/6 of an hour is"},{"speaker":"Pam","startTime":104.425,"endTime":108.672,"body":"50 minutes. 1/4 of an hour is 15"},{"speaker":"Pam","startTime":104.425,"endTime":108.672,"body":"minutes, so 50 minutes minus 15."},{"speaker":"Pam","startTime":108.738,"endTime":112.593,"body":"Is that 35 minutes? So, then,"},{"speaker":"Pam","startTime":108.738,"endTime":112.593,"body":"I'm thinking about 35/60. And"},{"speaker":"Pam","startTime":112.658,"endTime":116.906,"body":"honestly how I go from 35/60. If"},{"speaker":"Pam","startTime":112.658,"endTime":116.906,"body":"I wanted to create an equivalent"},{"speaker":"Pam","startTime":116.971,"endTime":120.565,"body":"fraction that had no common"},{"speaker":"Pam","startTime":116.971,"endTime":120.565,"body":"factors, then I would think"},{"speaker":"Pam","startTime":120.631,"endTime":124.552,"body":"about where 35 is on a clock,"},{"speaker":"Pam","startTime":120.631,"endTime":124.552,"body":"and that's on the seven. And I"},{"speaker":"Pam","startTime":124.617,"endTime":128.669,"body":"know that then it's 7 out of the"},{"speaker":"Pam","startTime":124.617,"endTime":128.669,"body":"12, 5 minute chunks, or 7/12."},{"speaker":"Kim","startTime":129.06,"endTime":133.59,"body":"Nice. It's really funny"},{"speaker":"Kim","startTime":129.06,"endTime":133.59,"body":"that you did what I did because"},{"speaker":"Kim","startTime":133.62,"endTime":135.87,"body":"I did what you did last week."},{"speaker":"Pam","startTime":136.11,"endTime":136.95,"body":"Last week?"},{"speaker":"Kim","startTime":137.13,"endTime":137.49,"body":"Yeah, I did."},{"speaker":"Pam","startTime":137.49,"endTime":141.45,"body":"Can I just tell you how fun"},{"speaker":"Pam","startTime":137.49,"endTime":141.45,"body":"it is for me when I see 35/60"},{"speaker":"Pam","startTime":141.81,"endTime":146.85,"body":"that I don't even... I've gotten"},{"speaker":"Pam","startTime":141.81,"endTime":146.85,"body":"so I've had enough practice,"},{"speaker":"Pam","startTime":146.85,"endTime":149.58,"body":"enough experience. That's the"},{"speaker":"Pam","startTime":146.85,"endTime":149.58,"body":"word I want. Enough experience"},{"speaker":"Pam","startTime":149.58,"endTime":154.38,"body":"thinking about time now and"},{"speaker":"Pam","startTime":149.58,"endTime":154.38,"body":"using a clock as a model that I"},{"speaker":"Pam","startTime":154.38,"endTime":156.87,"body":"see that 35, and it just"},{"speaker":"Pam","startTime":154.38,"endTime":156.87,"body":"instantly, bam, 7."},{"speaker":"Kim","startTime":157.14,"endTime":157.38,"body":"Yeah."},{"speaker":"Pam","startTime":157.38,"endTime":159.57,"body":"It's just like"},{"speaker":"Pam","startTime":157.38,"endTime":159.57,"body":"seven-twelfths. Yeah. Okay, so"},{"speaker":"Pam","startTime":159.57,"endTime":162.87,"body":"you tried what I did last week."},{"speaker":"Pam","startTime":159.57,"endTime":162.87,"body":"Talk to us about that."},{"speaker":"Kim","startTime":163.23,"endTime":168.06,"body":"I did, I did. So, I was"},{"speaker":"Kim","startTime":163.23,"endTime":168.06,"body":"thinking about five 1/6s of a"},{"speaker":"Kim","startTime":168.06,"endTime":172.89,"body":"clock. And so, for each of"},{"speaker":"Kim","startTime":168.06,"endTime":172.89,"body":"those, If I thought about there"},{"speaker":"Kim","startTime":172.89,"endTime":176.19,"body":"are... Oh, let's see if I can"},{"speaker":"Kim","startTime":172.89,"endTime":176.19,"body":"explain this. Talking about your"},{"speaker":"Kim","startTime":176.19,"endTime":177.51,"body":"thinking is hard sometimes."},{"speaker":"Pam","startTime":178.23,"endTime":178.65,"body":"Absolutely."},{"speaker":"Kim","startTime":178.65,"endTime":184.8,"body":"So, if there are twelve 5"},{"speaker":"Kim","startTime":178.65,"endTime":184.8,"body":"minute chunks on a clock, but I"},{"speaker":"Kim","startTime":184.8,"endTime":188.91,"body":"was really wanting to think"},{"speaker":"Kim","startTime":184.8,"endTime":188.91,"body":"about it in terms of six chunks"},{"speaker":"Kim","startTime":188.91,"endTime":193.8,"body":"on the clock, then every two"},{"speaker":"Kim","startTime":188.91,"endTime":193.8,"body":"clicks of the 5 minute hand"},{"speaker":"Kim","startTime":193.92,"endTime":198.81,"body":"would be a 1/6. So, if my minute"},{"speaker":"Kim","startTime":193.92,"endTime":198.81,"body":"hand went from the 12, and it"},{"speaker":"Kim","startTime":198.81,"endTime":203.25,"body":"clicked all the way to the 2,"},{"speaker":"Kim","startTime":198.81,"endTime":203.25,"body":"then that would be a sixth of"},{"speaker":"Kim","startTime":203.25,"endTime":204.75,"body":"the clock. Does that make sense?"},{"speaker":"Pam","startTime":205.5,"endTime":209.91,"body":"Yeah. Because one-sixth is"},{"speaker":"Pam","startTime":205.5,"endTime":209.91,"body":"twice as big as one-twelfth."},{"speaker":"Kim","startTime":210.18,"endTime":210.6,"body":"Yeah."},{"speaker":"Pam","startTime":210.6,"endTime":212.22,"body":"That's what you're saying."},{"speaker":"Pam","startTime":210.6,"endTime":212.22,"body":"So, if you could think about"},{"speaker":"Pam","startTime":212.22,"endTime":215.46,"body":"twelfths being every time you go"},{"speaker":"Pam","startTime":212.22,"endTime":215.46,"body":"sort of to a number, if the"},{"speaker":"Pam","startTime":215.46,"endTime":217.8,"body":"minute hand goes to a number"},{"speaker":"Pam","startTime":215.46,"endTime":217.8,"body":"that's a twelfth, then you'd"},{"speaker":"Pam","startTime":217.8,"endTime":219.87,"body":"have to go 2 of those to get a"},{"speaker":"Pam","startTime":217.8,"endTime":219.87,"body":"sixth,"},{"speaker":"Kim","startTime":219.0,"endTime":219.45,"body":"Yes."},{"speaker":"Pam","startTime":219.45,"endTime":220.59,"body":"One-sixth, yeah."},{"speaker":"Kim","startTime":221.61,"endTime":226.56,"body":"Right. So, then that would"},{"speaker":"Kim","startTime":221.61,"endTime":226.56,"body":"mean that 5 of those 6 would be"},{"speaker":"Kim","startTime":226.59,"endTime":232.83,"body":"on the 10 of the clock. So, 10"},{"speaker":"Kim","startTime":226.59,"endTime":232.83,"body":"out of the 12, 5 minute chunks"},{"speaker":"Kim","startTime":232.86,"endTime":233.37,"body":"would be 5/6."},{"speaker":"Pam","startTime":233.37,"endTime":234.3,"body":"Mmhmm."},{"speaker":"Kim","startTime":235.17,"endTime":239.88,"body":"So, I just wrote down"},{"speaker":"Kim","startTime":235.17,"endTime":239.88,"body":"ten-twelfths. And then, I"},{"speaker":"Kim","startTime":239.88,"endTime":244.14,"body":"thought about the fourth of the"},{"speaker":"Kim","startTime":239.88,"endTime":244.14,"body":"clock would be like you"},{"speaker":"Kim","startTime":244.14,"endTime":248.73,"body":"described last week. It would be"},{"speaker":"Kim","startTime":244.14,"endTime":248.73,"body":"when the 5 minute hand, or the"},{"speaker":"Kim","startTime":249.3,"endTime":252.96,"body":"minute hand, had gone all the"},{"speaker":"Kim","startTime":249.3,"endTime":252.96,"body":"way to the 3. So, 3 out of 12."},{"speaker":"Kim","startTime":253.8,"endTime":257.79,"body":"So, then I wrote down... I had"},{"speaker":"Kim","startTime":253.8,"endTime":257.79,"body":"written down ten-twelfths minus"},{"speaker":"Kim","startTime":257.79,"endTime":261.72,"body":"three-twelfths, and then that"},{"speaker":"Kim","startTime":257.79,"endTime":261.72,"body":"gave me seven-twelfths. And it's"},{"speaker":"Kim","startTime":261.72,"endTime":264.66,"body":"funny that you say that because"},{"speaker":"Kim","startTime":261.72,"endTime":264.66,"body":"I was like, \"Oh, am I right?\""},{"speaker":"Kim","startTime":264.84,"endTime":269.67,"body":"But when I saw the 7, I was"},{"speaker":"Kim","startTime":264.84,"endTime":269.67,"body":"like, \"Oh, that's 35 minutes.\""},{"speaker":"Kim","startTime":269.7,"endTime":276.57,"body":"Like, you kind of describe. And"},{"speaker":"Kim","startTime":269.7,"endTime":276.57,"body":"I thought 7/12 is also 35/60, so"},{"speaker":"Kim","startTime":276.57,"endTime":278.85,"body":"I knew that I was correct."},{"speaker":"Pam","startTime":279.27,"endTime":283.53,"body":"Bam! Nice. So, I'm just"},{"speaker":"Pam","startTime":279.27,"endTime":283.53,"body":"going to ask you that took you a"},{"speaker":"Pam","startTime":283.53,"endTime":285.81,"body":"hot minute to explain to us your"},{"speaker":"Pam","startTime":283.53,"endTime":285.81,"body":"thinking."},{"speaker":"Kim","startTime":285.81,"endTime":287.43,"body":"Yes, it did."},{"speaker":"Pam","startTime":287.46,"endTime":290.76,"body":"Did it actually take you"},{"speaker":"Pam","startTime":287.46,"endTime":290.76,"body":"that long to... You know when"},{"speaker":"Pam","startTime":290.76,"endTime":291.6,"body":"you said, so I wrote (unclear)."},{"speaker":"Kim","startTime":291.6,"endTime":292.26,"body":"To think about?"},{"speaker":"Pam","startTime":292.29,"endTime":292.86,"body":"Yeah."},{"speaker":"Kim","startTime":293.61,"endTime":296.67,"body":"No, it didn't. You know, I"},{"speaker":"Kim","startTime":293.61,"endTime":296.67,"body":"kind of closed my eyes, and I"},{"speaker":"Kim","startTime":296.67,"endTime":300.75,"body":"pictured the clock, and so when"},{"speaker":"Kim","startTime":296.67,"endTime":300.75,"body":"I pictured 5/6 I knew right"},{"speaker":"Kim","startTime":300.75,"endTime":303.72,"body":"away, \"Oh, that's on the 10.\""},{"speaker":"Kim","startTime":300.75,"endTime":303.72,"body":"But I don't know that saying"},{"speaker":"Kim","startTime":303.78,"endTime":305.76,"body":"\"That's on the 10.\" (unclear)."},{"speaker":"Pam","startTime":305.76,"endTime":307.71,"body":"Would explan your thinking."},{"speaker":"Pam","startTime":305.76,"endTime":307.71,"body":"Yeah."},{"speaker":"Kim","startTime":307.71,"endTime":310.98,"body":"Yeah. And when I saw 1/4, I"},{"speaker":"Kim","startTime":307.71,"endTime":310.98,"body":"was like, \"Oh, that's on the 3,"},{"speaker":"Kim","startTime":311.01,"endTime":314.76,"body":"so the 10 amount, minus the 3"},{"speaker":"Kim","startTime":311.01,"endTime":314.76,"body":"amount, that's the 7 amount.\""},{"speaker":"Kim","startTime":314.76,"endTime":318.81,"body":"And so, it went pretty quickly."},{"speaker":"Kim","startTime":314.76,"endTime":318.81,"body":"It's just talking about it takes"},{"speaker":"Kim","startTime":318.81,"endTime":321.45,"body":"a little bit of time to make"},{"speaker":"Kim","startTime":318.81,"endTime":321.45,"body":"sure that I'm making sense."},{"speaker":"Pam","startTime":321.51,"endTime":322.86,"body":"Sure. Absolutely. Cool."},{"speaker":"Kim","startTime":322.89,"endTime":323.22,"body":"Yeah."},{"speaker":"Pam","startTime":323.25,"endTime":323.85,"body":"Alright."},{"speaker":"Kim","startTime":324.15,"endTime":327.99,"body":"Alright, so we can't wait"},{"speaker":"Kim","startTime":324.15,"endTime":327.99,"body":"to hear your math strategy. I"},{"speaker":"Kim","startTime":327.99,"endTime":330.96,"body":"wonder if it was like Pam's, or"},{"speaker":"Kim","startTime":327.99,"endTime":330.96,"body":"maybe like mine, or something"},{"speaker":"Kim","startTime":330.96,"endTime":333.84,"body":"entirely different. Represent"},{"speaker":"Kim","startTime":330.96,"endTime":333.84,"body":"your thinking if you can, and"},{"speaker":"Kim","startTime":333.84,"endTime":336.36,"body":"take a picture of your work or"},{"speaker":"Kim","startTime":333.84,"endTime":336.36,"body":"screenshot your phone, and tell"},{"speaker":"Kim","startTime":336.36,"endTime":339.45,"body":"the world on social media. While"},{"speaker":"Kim","startTime":336.36,"endTime":339.45,"body":"you're there, we would love it"},{"speaker":"Kim","startTime":339.45,"endTime":342.03,"body":"if you checked out what other"},{"speaker":"Kim","startTime":339.45,"endTime":342.03,"body":"people did and comment on their"},{"speaker":"Kim","startTime":342.03,"endTime":342.87,"body":"thinking as well."},{"speaker":"Pam","startTime":343.02,"endTime":346.02,"body":"Yeah, and please tag me on"},{"speaker":"Pam","startTime":343.02,"endTime":346.02,"body":"Twitter at @PWHarris. Or"},{"speaker":"Pam","startTime":346.02,"endTime":350.07,"body":"Instagram, PamHarris_math. And"},{"speaker":"Pam","startTime":346.02,"endTime":350.07,"body":"Facebook, Pam Harris, author"},{"speaker":"Pam","startTime":350.07,"endTime":354.09,"body":"mathematics education. And use"},{"speaker":"Pam","startTime":350.07,"endTime":354.09,"body":"the hashtag MathStratChat. And"},{"speaker":"Pam","startTime":354.09,"endTime":356.79,"body":"make sure you check out the next"},{"speaker":"Pam","startTime":354.09,"endTime":356.79,"body":"MathStratChat problem every"},{"speaker":"Wednesday evening around 7","startTime":356.79,"endTime":362.28,"body":"00"},{"speaker":"Wednesday evening around 7","startTime":356.79,"endTime":362.28,"body":"p.m. Central Time. And pop back"},{"speaker":"Wednesday evening around 7","startTime":362.28,"endTime":365.73,"body":"here to hear how we're thinking"},{"speaker":"Wednesday evening around 7","startTime":362.28,"endTime":365.73,"body":"about the problem. We love"},{"speaker":"Wednesday evening around 7","startTime":365.73,"endTime":368.46,"body":"having you as part of the Math"},{"speaker":"Wednesday evening around 7","startTime":365.73,"endTime":368.46,"body":"is Figure-Out-Able movement."},{"speaker":"Wednesday evening around 7","startTime":368.73,"endTime":371.76,"body":"Let's keep spreading the word"},{"speaker":"Wednesday evening around 7","startTime":368.73,"endTime":371.76,"body":"that Math is Figure-Out-Able!"}]}