{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":0.9,"endTime":4.2,"body":"Hey, fellow mathematicians!"},{"speaker":"Pam","startTime":0.9,"endTime":4.2,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.2,"endTime":6.99,"body":"Math is Figure-Out-Able. I'm"},{"speaker":"Pam","startTime":4.2,"endTime":6.99,"body":"Pam."},{"speaker":"Pam","startTime":7.24,"endTime":12.07,"body":"And this episode is a"},{"speaker":"Pam","startTime":7.24,"endTime":12.07,"body":"MathStratChat episode. What is"},{"speaker":"Kim","startTime":7.26,"endTime":7.98,"body":"And I'm Kim."},{"speaker":"Kim","startTime":12.1,"endTime":14.5,"body":"MathStratChat? Well, every"},{"speaker":"Kim","startTime":12.1,"endTime":14.5,"body":"Wednesday evening, I throw out a"},{"speaker":"Kim","startTime":14.5,"endTime":17.44,"body":"math problem on social media,"},{"speaker":"Kim","startTime":14.5,"endTime":17.44,"body":"Twitter, Facebook, Instagram."},{"speaker":"Kim","startTime":17.71,"endTime":20.5,"body":"People from all around the world"},{"speaker":"Kim","startTime":17.71,"endTime":20.5,"body":"chat about the strategies they"},{"speaker":"Kim","startTime":20.5,"endTime":23.38,"body":"use. We love seeing everyone's"},{"speaker":"Kim","startTime":20.5,"endTime":23.38,"body":"thinking."},{"speaker":"Kim","startTime":24.22,"endTime":27.1,"body":"Sure, do. So, this"},{"speaker":"Kim","startTime":24.22,"endTime":27.1,"body":"Wednesday, our math problem was"},{"speaker":"Kim","startTime":27.1,"endTime":32.14,"body":"2 minus 8.9. How would you solve"},{"speaker":"Kim","startTime":27.1,"endTime":32.14,"body":"this problem? Pause the podcast,"},{"speaker":"Kim","startTime":32.17,"endTime":36.67,"body":"solve it any way you want. The"},{"speaker":"Kim","startTime":32.17,"endTime":36.67,"body":"problem was 2 minus 8 and 9/10."},{"speaker":"Kim","startTime":36.7,"endTime":39.28,"body":"Solve it, and then come back to"},{"speaker":"Kim","startTime":36.7,"endTime":39.28,"body":"hear how we solved it."},{"speaker":"Pam","startTime":39.91,"endTime":42.82,"body":"Alright, so we got a little"},{"speaker":"Pam","startTime":39.91,"endTime":42.82,"body":"integer work going on here."},{"speaker":"Kim","startTime":42.82,"endTime":43.0,"body":"Yeah, we do."},{"speaker":"Pam","startTime":43.03,"endTime":44.08,"body":"Nice. Nice."},{"speaker":"Pam","startTime":44.0,"endTime":46.28,"body":"Hey, I'm just going to"},{"speaker":"Pam","startTime":44.0,"endTime":46.28,"body":"point out one quick thing. You"},{"speaker":"Kim","startTime":44.08,"endTime":44.41,"body":"Yeah."},{"speaker":"Kim","startTime":46.28,"endTime":49.25,"body":"might notice that whenever we"},{"speaker":"Kim","startTime":46.28,"endTime":49.25,"body":"use decimals, Kim is really"},{"speaker":"Kim","startTime":49.25,"endTime":53.69,"body":"particular to say the problem in"},{"speaker":"Kim","startTime":49.25,"endTime":53.69,"body":"point language and in tenths"},{"speaker":"Kim","startTime":53.69,"endTime":59.54,"body":"language. So 8.9 and 8 and 9/10."},{"speaker":"Kim","startTime":53.69,"endTime":59.54,"body":"And we think that that makes"},{"speaker":"Kim","startTime":59.54,"endTime":63.26,"body":"sense. We think that students"},{"speaker":"Kim","startTime":59.54,"endTime":63.26,"body":"ought to hear both. So, we'll"},{"speaker":"Kim","startTime":63.26,"endTime":66.11,"body":"just throw that out there."},{"speaker":"Kim","startTime":63.26,"endTime":66.11,"body":"Alright, Kim. I'm curious. How"},{"speaker":"Kim","startTime":66.11,"endTime":69.11,"body":"were you thinking about 2"},{"speaker":"Kim","startTime":66.11,"endTime":69.11,"body":"subtract 8.9?"},{"speaker":"Kim","startTime":69.35,"endTime":75.301,"body":"Okay, so the first thing I"},{"speaker":"Kim","startTime":69.35,"endTime":75.301,"body":"did was start a number line. And"},{"speaker":"Kim","startTime":75.402,"endTime":81.454,"body":"I put 2 on kind of the right"},{"speaker":"Kim","startTime":75.402,"endTime":81.454,"body":"side, and then I made a jump of"},{"speaker":"Kim","startTime":81.555,"endTime":87.607,"body":"to subtract 8. And I did mark"},{"speaker":"Kim","startTime":81.555,"endTime":87.607,"body":"down where 0 would be, just to"},{"speaker":"Kim","startTime":87.708,"endTime":93.962,"body":"kind of orient myself. But when"},{"speaker":"Kim","startTime":87.708,"endTime":93.962,"body":"I jumped back 8, then I landed"},{"speaker":"Kim","startTime":94.063,"endTime":100.418,"body":"on negative 6. And then, I knew"},{"speaker":"Kim","startTime":94.063,"endTime":100.418,"body":"I still needed to remove $0.90,"},{"speaker":"Kim","startTime":100.519,"endTime":106.874,"body":"or 0.9, or nine-tenths. So, then"},{"speaker":"Kim","startTime":100.519,"endTime":106.874,"body":"I made one more jump back of a"},{"speaker":"Kim","startTime":106.975,"endTime":112.019,"body":"smaller jump of 0.9, and I"},{"speaker":"Kim","startTime":106.975,"endTime":112.019,"body":"landed on negative 6.9."},{"speaker":"Pam","startTime":113.83,"endTime":118.12,"body":"So, a jump back of 0.9 is"},{"speaker":"Pam","startTime":113.83,"endTime":118.12,"body":"negative 6.9. That's not"},{"speaker":"Pam","startTime":118.12,"endTime":122.44,"body":"negative 5.1 or some weird"},{"speaker":"Pam","startTime":118.12,"endTime":122.44,"body":"(unclear) back that direction."},{"speaker":"Kim","startTime":122.5,"endTime":122.83,"body":"Nope."},{"speaker":"Pam","startTime":123.19,"endTime":127.39,"body":"Can you... How did you know"},{"speaker":"Pam","startTime":123.19,"endTime":127.39,"body":"that 2 minus 8 was negative 6? I"},{"speaker":"Pam","startTime":127.39,"endTime":130.18,"body":"know you said 0 was in there,"},{"speaker":"Pam","startTime":127.39,"endTime":130.18,"body":"but can you just like say that"},{"speaker":"Pam","startTime":130.18,"endTime":130.6,"body":"out loud?"},{"speaker":"Kim","startTime":130.66,"endTime":135.656,"body":"Yeah. So, if I had gone"},{"speaker":"Kim","startTime":130.66,"endTime":135.656,"body":"from 2 to 0, then that would be"},{"speaker":"Pam","startTime":131.0,"endTime":152.57,"body":"Cool. So, you sort of could"},{"speaker":"Pam","startTime":131.0,"endTime":152.57,"body":"think about that 0 in there as"},{"speaker":"Pam","startTime":135.747,"endTime":141.199,"body":"a jump of minus 2. And then, if"},{"speaker":"Pam","startTime":135.747,"endTime":141.199,"body":"I went from 2 to negative 6,"},{"speaker":"Pam","startTime":141.289,"endTime":146.468,"body":"then that would be another"},{"speaker":"Pam","startTime":141.289,"endTime":146.468,"body":"amount of minus 6. So, minus 2"},{"speaker":"Pam","startTime":146.559,"endTime":148.74,"body":"and minus 6 was minus 8."},{"speaker":"Pam","startTime":152.57,"endTime":153.5,"body":"kind of being helpful."},{"speaker":"Kim","startTime":153.68,"endTime":156.02,"body":"Yeah, it's kind of a"},{"speaker":"Kim","startTime":153.68,"endTime":156.02,"body":"benchmark to make sure that I'm"},{"speaker":"Kim","startTime":156.17,"endTime":157.22,"body":"on the right track."},{"speaker":"Pam","startTime":157.49,"endTime":160.64,"body":"Yeah, totally. So, I'm a"},{"speaker":"Pam","startTime":157.49,"endTime":160.64,"body":"little curious that you didn't"},{"speaker":"Pam","startTime":160.64,"endTime":164.78,"body":"use an Over strategy. That would"},{"speaker":"Pam","startTime":160.64,"endTime":164.78,"body":"typically be your go to."},{"speaker":"Kim","startTime":164.78,"endTime":169.291,"body":"It would be. You know what?"},{"speaker":"Kim","startTime":164.78,"endTime":169.291,"body":"And I think it's because I'm"},{"speaker":"Kim","startTime":169.372,"endTime":174.448,"body":"less familiar with integer work."},{"speaker":"Kim","startTime":169.372,"endTime":174.448,"body":"I mean, I obviously can, and I"},{"speaker":"Kim","startTime":174.528,"endTime":179.523,"body":"have a few strategies. But it's"},{"speaker":"Kim","startTime":174.528,"endTime":179.523,"body":"been a little while. And so, I"},{"speaker":"Kim","startTime":179.604,"endTime":184.599,"body":"think what happens is when I'm"},{"speaker":"Kim","startTime":179.604,"endTime":184.599,"body":"less in it, maybe I revert to a"},{"speaker":"Kim","startTime":184.68,"endTime":186.05,"body":"simpler strategy."},{"speaker":"Pam","startTime":186.41,"endTime":187.82,"body":"A less sophisticated"},{"speaker":"Pam","startTime":186.41,"endTime":187.82,"body":"strategy?"},{"speaker":"Kim","startTime":187.82,"endTime":188.81,"body":"Yeah."},{"speaker":"Pam","startTime":188.0,"endTime":192.38,"body":"Yeah. So, I'll just go."},{"speaker":"Pam","startTime":188.0,"endTime":192.38,"body":"I'll play with an Over strategy"},{"speaker":"Pam","startTime":192.38,"endTime":198.29,"body":"then. So, 2 subtract 8.9 is"},{"speaker":"Pam","startTime":192.38,"endTime":198.29,"body":"really close to 2 subtract 9."},{"speaker":"Pam","startTime":199.28,"endTime":203.57,"body":"So, 2 subtract 9, if I kind of"},{"speaker":"Pam","startTime":199.28,"endTime":203.57,"body":"think about 2 to 0 is two, then"},{"speaker":"Pam","startTime":203.57,"endTime":207.92,"body":"I got to subtract 7 more. So,"},{"speaker":"Pam","startTime":203.57,"endTime":207.92,"body":"I'm at negative 7. 2 subtract 9"},{"speaker":"Pam","startTime":207.92,"endTime":211.04,"body":"is negative 7. But I've"},{"speaker":"Pam","startTime":207.92,"endTime":211.04,"body":"subtracted a bit too much, so I"},{"speaker":"Pam","startTime":211.04,"endTime":217.1,"body":"need to adjust a 2 by a tenth to"},{"speaker":"Pam","startTime":211.04,"endTime":217.1,"body":"the right. And that would also"},{"speaker":"Pam","startTime":217.1,"endTime":218.93,"body":"be negative 6.9. Yeah."},{"speaker":"Kim","startTime":220.22,"endTime":223.089,"body":"I actually like your"},{"speaker":"Kim","startTime":220.22,"endTime":223.089,"body":"strategy better. I wish thought"},{"speaker":"Kim","startTime":223.144,"endTime":226.509,"body":"about that. It didn't even occur"},{"speaker":"Kim","startTime":223.144,"endTime":226.509,"body":"to me to be perfectly honest"},{"speaker":"Kim","startTime":226.565,"endTime":228.11,"body":"with you when I saw the 8.9."},{"speaker":"Pam","startTime":228.36,"endTime":231.54,"body":"Well, so listeners might"},{"speaker":"Pam","startTime":228.36,"endTime":231.54,"body":"find it interesting that this is"},{"speaker":"Pam","startTime":231.54,"endTime":235.92,"body":"a very typical thing. That when"},{"speaker":"Pam","startTime":231.54,"endTime":235.92,"body":"students do something new, they"},{"speaker":"Pam","startTime":235.95,"endTime":239.34,"body":"sort of go into a more difficult"},{"speaker":"Pam","startTime":235.95,"endTime":239.34,"body":"number system, or all of a"},{"speaker":"Pam","startTime":239.34,"endTime":242.13,"body":"sudden the numbers get bigger,"},{"speaker":"Pam","startTime":239.34,"endTime":242.13,"body":"or smaller, or more fractiony,"},{"speaker":"Pam","startTime":242.13,"endTime":244.68,"body":"more decimaly... In some way"},{"speaker":"Pam","startTime":242.13,"endTime":244.68,"body":"they're more complicated."},{"speaker":"Pam","startTime":244.98,"endTime":248.64,"body":"Students will often revert back,"},{"speaker":"Pam","startTime":244.98,"endTime":248.64,"body":"or people will often revert to"},{"speaker":"Pam","startTime":248.64,"endTime":250.26,"body":"something less sophisticated."},{"speaker":"Kim","startTime":250.29,"endTime":250.5,"body":"Yep."},{"speaker":"Pam","startTime":250.5,"endTime":253.59,"body":"Something they feel solid"},{"speaker":"Pam","startTime":250.5,"endTime":253.59,"body":"in. \"Yep, I'm confident.\" But"},{"speaker":"Pam","startTime":253.59,"endTime":257.79,"body":"then quickly be able to kind of"},{"speaker":"Pam","startTime":253.59,"endTime":257.79,"body":"pull in those other strategies"},{"speaker":"Pam","startTime":257.79,"endTime":260.7,"body":"that they had developed with"},{"speaker":"Pam","startTime":257.79,"endTime":260.7,"body":"easier number systems."},{"speaker":"Kim","startTime":260.73,"endTime":261.03,"body":"Yeah."},{"speaker":"Pam","startTime":261.06,"endTime":264.3,"body":"So, that's a thing to know"},{"speaker":"Pam","startTime":261.06,"endTime":264.3,"body":"and to just sort of expect."},{"speaker":"Pam","startTime":264.33,"endTime":265.23,"body":"That's going to happen. Yeah."},{"speaker":"Kim","startTime":265.26,"endTime":265.59,"body":"Yeah."},{"speaker":"Pam","startTime":265.62,"endTime":265.86,"body":"Cool."},{"speaker":"Kim","startTime":265.95,"endTime":268.83,"body":"Okay, we can't wait to see"},{"speaker":"Kim","startTime":265.95,"endTime":268.83,"body":"your strategies. I wonder if"},{"speaker":"Kim","startTime":268.83,"endTime":271.68,"body":"yours was like mine, or Pam's,"},{"speaker":"Kim","startTime":268.83,"endTime":271.68,"body":"or something entirely different."},{"speaker":"Kim","startTime":272.01,"endTime":274.38,"body":"Represent your thinking, take a"},{"speaker":"Kim","startTime":272.01,"endTime":274.38,"body":"picture of your work, or"},{"speaker":"Kim","startTime":274.38,"endTime":277.56,"body":"screenshot your phone, and tell"},{"speaker":"Kim","startTime":274.38,"endTime":277.56,"body":"the world on social media. While"},{"speaker":"Kim","startTime":277.56,"endTime":279.69,"body":"you're there, check out what"},{"speaker":"Kim","startTime":277.56,"endTime":279.69,"body":"other people did and comment on"},{"speaker":"Kim","startTime":279.69,"endTime":280.32,"body":"their thinking."},{"speaker":"Pam","startTime":284.16,"endTime":286.26,"body":"While you were talking,"},{"speaker":"Pam","startTime":284.16,"endTime":286.26,"body":"I've totally looking at that"},{"speaker":"Pam","startTime":286.26,"endTime":288.69,"body":"problem wondering about a"},{"speaker":"Pam","startTime":286.26,"endTime":288.69,"body":"different. I was asking myself,"},{"speaker":"Pam","startTime":288.69,"endTime":291.06,"body":"\"Well, what's more sophisticated"},{"speaker":"Pam","startTime":288.69,"endTime":291.06,"body":"that you weren't thinking about,"},{"speaker":"Pam","startTime":291.06,"endTime":294.69,"body":"Pam?\" I'll just mentioned"},{"speaker":"Pam","startTime":291.06,"endTime":294.69,"body":"listeners. See, it's good that"},{"speaker":"Pam","startTime":294.69,"endTime":296.82,"body":"you listened to the whole thing."},{"speaker":"Pam","startTime":294.69,"endTime":296.82,"body":"I was thinking about constant"},{"speaker":"Pam","startTime":296.82,"endTime":299.1,"body":"difference. So, I'll just throw"},{"speaker":"Pam","startTime":296.82,"endTime":299.1,"body":"that out there and see if"},{"speaker":"Pam","startTime":299.1,"endTime":300.57,"body":"anybody wants to play with that."},{"speaker":"Kim","startTime":300.57,"endTime":300.81,"body":"Perfect."},{"speaker":"Pam","startTime":300.81,"endTime":303.12,"body":"Alright, while you're doing"},{"speaker":"Pam","startTime":300.81,"endTime":303.12,"body":"it, tag me on Twitter:"},{"speaker":"@PWHarris. On Instagram","startTime":303.15,"endTime":307.38,"body":"@Pam"},{"speaker":"@PWHarris. On Instagram","startTime":303.15,"endTime":307.38,"body":"Harris_math. And at Facebook:"},{"speaker":"@PWHarris. On Instagram","startTime":307.47,"endTime":310.86,"body":"Pam Harris, author mathematics"},{"speaker":"@PWHarris. On Instagram","startTime":307.47,"endTime":310.86,"body":"education. And use the hashtag"},{"speaker":"@PWHarris. On Instagram","startTime":310.86,"endTime":315.0,"body":"MathStratChat. So, make sure you"},{"speaker":"@PWHarris. On Instagram","startTime":310.86,"endTime":315.0,"body":"check out the MathStratChat"},{"speaker":"@PWHarris. On Instagram","startTime":315.0,"endTime":318.24,"body":"problem we post next Wednesday"},{"speaker":"@PWHarris. On Instagram","startTime":315.0,"endTime":318.24,"body":"at 7:00 p.m., Central Time, and"},{"speaker":"@PWHarris. On Instagram","startTime":318.24,"endTime":321.03,"body":"then pop back here to hear what"},{"speaker":"@PWHarris. On Instagram","startTime":318.24,"endTime":321.03,"body":"we're thinking about the"},{"speaker":"@PWHarris. On Instagram","startTime":321.03,"endTime":324.09,"body":"problem. We love having you as"},{"speaker":"@PWHarris. On Instagram","startTime":321.03,"endTime":324.09,"body":"part of the Math is"},{"speaker":"@PWHarris. On Instagram","startTime":324.12,"endTime":327.06,"body":"Figure-Out-Able movement. Let's"},{"speaker":"@PWHarris. On Instagram","startTime":324.12,"endTime":327.06,"body":"keep spreading the word that"},{"speaker":"@PWHarris. On Instagram","startTime":327.06,"endTime":328.83,"body":"Math is Figure-Out-Able!"}]}