{"version":"1.0.0","segments":[{"speaker":"Pam","startTime":1.05,"endTime":4.53,"body":"Hey, fellow mathematicians."},{"speaker":"Pam","startTime":1.05,"endTime":4.53,"body":"Welcome to the podcast where"},{"speaker":"Pam","startTime":4.53,"endTime":7.38,"body":"Math is Figure-Out-Able. I'm"},{"speaker":"Pam","startTime":4.53,"endTime":7.38,"body":"Pam."},{"speaker":"Kim","startTime":7.71,"endTime":8.43,"body":"And I'm Kim."},{"speaker":"Pam","startTime":8.64,"endTime":10.92,"body":"And you've found a place"},{"speaker":"Pam","startTime":8.64,"endTime":10.92,"body":"where math is not about"},{"speaker":"Pam","startTime":10.92,"endTime":14.16,"body":"memorizing and mimicking,"},{"speaker":"Pam","startTime":10.92,"endTime":14.16,"body":"waiting to be told or shown what"},{"speaker":"Pam","startTime":14.16,"endTime":17.76,"body":"to do. But it's about making"},{"speaker":"Pam","startTime":14.16,"endTime":17.76,"body":"sense of problems, noticing"},{"speaker":"Pam","startTime":17.76,"endTime":21.6,"body":"patterns, and reasoning using"},{"speaker":"Pam","startTime":17.76,"endTime":21.6,"body":"mathematical relationships. We"},{"speaker":"Pam","startTime":21.6,"endTime":26.22,"body":"can mentor mathematicians as we"},{"speaker":"Pam","startTime":21.6,"endTime":26.22,"body":"co-create meaning together. Not"},{"speaker":"Pam","startTime":26.22,"endTime":29.58,"body":"only are algorithms not"},{"speaker":"Pam","startTime":26.22,"endTime":29.58,"body":"particularly helpful in teaching"},{"speaker":"Pam","startTime":29.58,"endTime":33.06,"body":"mathematics, but rotely"},{"speaker":"Pam","startTime":29.58,"endTime":33.06,"body":"repeating steps actually keep"},{"speaker":"Pam","startTime":33.06,"endTime":36.54,"body":"students from being the"},{"speaker":"Pam","startTime":33.06,"endTime":36.54,"body":"mathematicians they can be. Hey"},{"speaker":"Pam","startTime":36.54,"endTime":36.99,"body":"Kim?"},{"speaker":"Kim","startTime":37.44,"endTime":37.68,"body":"Yeah?"},{"speaker":"Pam","startTime":37.71,"endTime":42.09,"body":"Did you know that as of"},{"speaker":"Pam","startTime":37.71,"endTime":42.09,"body":"today, at the time we are"},{"speaker":"Pam","startTime":42.09,"endTime":49.11,"body":"recording this, we have over"},{"speaker":"Pam","startTime":42.09,"endTime":49.11,"body":"250K downloads. In fact we have,"},{"speaker":"Kim","startTime":49.11,"endTime":49.83,"body":"Oh, my gosh! That's great!"},{"speaker":"Pam","startTime":49.83,"endTime":53.61,"body":"...267,000 downloads of the"},{"speaker":"Pam","startTime":49.83,"endTime":53.61,"body":"podcast."},{"speaker":"Kim","startTime":53.94,"endTime":55.14,"body":"That is super fun!"},{"speaker":"Pam","startTime":55.35,"endTime":57.57,"body":"I mean, I actually have no"},{"speaker":"Pam","startTime":55.35,"endTime":57.57,"body":"idea if that's really any good,"},{"speaker":"Pam","startTime":57.6,"endTime":61.29,"body":"but it sounds good, doesn't it?"},{"speaker":"Pam","startTime":57.6,"endTime":61.29,"body":"I mean, it sounds amazing!"},{"speaker":"Pam","startTime":61.32,"endTime":64.89,"body":"That's like a quarter million!"},{"speaker":"Pam","startTime":61.32,"endTime":64.89,"body":"We're at over a quarter million"},{"speaker":"Pam","startTime":64.89,"endTime":67.32,"body":"downloads, since I don't know."},{"speaker":"Pam","startTime":64.89,"endTime":67.32,"body":"Hey, let's go for a million."},{"speaker":"Pam","startTime":67.35,"endTime":70.53,"body":"Whoa! Alright, ya'll. Tell your"},{"speaker":"Pam","startTime":67.35,"endTime":70.53,"body":"friends. Tell everybody. Let's"},{"speaker":"Pam","startTime":70.53,"endTime":73.68,"body":"get a million downloads. That"},{"speaker":"Pam","startTime":70.53,"endTime":73.68,"body":"will be exciting. Anyway, I'm"},{"speaker":"Pam","startTime":73.68,"endTime":74.1,"body":"thrilled."},{"speaker":"Kim","startTime":74.49,"endTime":74.76,"body":"Yeah."},{"speaker":"Pam","startTime":75.09,"endTime":76.35,"body":"Who knew? Who knew we"},{"speaker":"Pam","startTime":75.09,"endTime":76.35,"body":"would."},{"speaker":"Kim","startTime":76.77,"endTime":78.57,"body":"Who knew people wanted to"},{"speaker":"Kim","startTime":76.77,"endTime":78.57,"body":"hear us talk about stuff."},{"speaker":"Pam","startTime":80.07,"endTime":80.1,"body":"(unclear)."},{"speaker":"Kim","startTime":80.13,"endTime":82.02,"body":"Sue did. Sue did actually."},{"speaker":"Pam","startTime":82.05,"endTime":82.2,"body":"Sue did."},{"speaker":"Kim","startTime":82.2,"endTime":82.62,"body":"We should tell her that."},{"speaker":"Pam","startTime":82.62,"endTime":85.62,"body":"We should we should totally"},{"speaker":"Pam","startTime":82.62,"endTime":85.62,"body":"give her credit. We give. Sue is"},{"speaker":"Pam","startTime":85.62,"endTime":88.74,"body":"the one. In fact, here's a"},{"speaker":"Pam","startTime":85.62,"endTime":88.74,"body":"little short story. Sue is the"},{"speaker":"Pam","startTime":88.74,"endTime":92.13,"body":"one that. We used to, I don't"},{"speaker":"Pam","startTime":88.74,"endTime":92.13,"body":"know, go places, do things. We"},{"speaker":"Pam","startTime":92.13,"endTime":92.94,"body":"would put on workshops."},{"speaker":"Kim","startTime":92.94,"endTime":93.84,"body":"We would travel a lot,"},{"speaker":"Kim","startTime":92.94,"endTime":93.84,"body":"yeah."},{"speaker":"Pam","startTime":93.87,"endTime":96.09,"body":"Traveled together, and we'd"},{"speaker":"Pam","startTime":93.87,"endTime":96.09,"body":"be in the car and you...me,"},{"speaker":"Pam","startTime":96.48,"endTime":98.16,"body":"Kim...would beat stuff out,"},{"speaker":"Pam","startTime":96.48,"endTime":98.16,"body":"right?"},{"speaker":"Kim","startTime":98.16,"endTime":98.22,"body":"Yeah."},{"speaker":"Pam","startTime":98.31,"endTime":100.29,"body":"Like something would happen"},{"speaker":"Pam","startTime":98.31,"endTime":100.29,"body":"at the workshop. And we like,"},{"speaker":"Pam","startTime":100.29,"endTime":103.11,"body":"\"What do you think about...\" We"},{"speaker":"Pam","startTime":100.29,"endTime":103.11,"body":"would go back and forth. And"},{"speaker":"Pam","startTime":103.11,"endTime":105.78,"body":"Sue's a little bit quieter. She"},{"speaker":"Pam","startTime":103.11,"endTime":105.78,"body":"doesn't, you know, usually jump"},{"speaker":"Pam","startTime":105.78,"endTime":108.18,"body":"in as much. She doesn't"},{"speaker":"Pam","startTime":105.78,"endTime":108.18,"body":"interrupt us."},{"speaker":"Kim","startTime":109.29,"endTime":110.58,"body":"How could you (unclear)."},{"speaker":"Pam","startTime":110.67,"endTime":112.5,"body":"You have to interrupt, if"},{"speaker":"Pam","startTime":110.67,"endTime":112.5,"body":"you're going to get in between"},{"speaker":"Pam","startTime":112.5,"endTime":114.6,"body":"us, right? 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Hey, so another"},{"speaker":"Pam","startTime":125.91,"endTime":129.48,"body":"thing that we're going to just"},{"speaker":"Pam","startTime":129.48,"endTime":134.25,"body":"quietly announce is that"},{"speaker":"Pam","startTime":129.48,"endTime":134.25,"body":"something new, and cool, and I"},{"speaker":"Pam","startTime":134.25,"endTime":137.52,"body":"think you're going to like is"},{"speaker":"Pam","startTime":134.25,"endTime":137.52,"body":"coming this week. You're going"},{"speaker":"Pam","startTime":137.52,"endTime":140.91,"body":"to love it. Just kind of maybe"},{"speaker":"Pam","startTime":137.52,"endTime":140.91,"body":"be aware, podcast listeners,"},{"speaker":"Pam","startTime":140.91,"endTime":143.1,"body":"that something new is about to"},{"speaker":"Pam","startTime":140.91,"endTime":143.1,"body":"happen. Alright, moving on from"},{"speaker":"Pam","startTime":143.1,"endTime":143.28,"body":"that."},{"speaker":"Kim","startTime":143.28,"endTime":143.76,"body":"Very cool."},{"speaker":"Pam","startTime":143.76,"endTime":145.53,"body":"I'm not going to make too"},{"speaker":"Pam","startTime":143.76,"endTime":145.53,"body":"big a deal of it. There you go."},{"speaker":"Kim","startTime":145.53,"endTime":148.35,"body":"Okay so. We love hearing"},{"speaker":"Kim","startTime":145.53,"endTime":148.35,"body":"from listeners, right?"},{"speaker":"Pam","startTime":148.35,"endTime":148.62,"body":"Absolutely."},{"speaker":"Kim","startTime":148.62,"endTime":151.86,"body":"So much fun to get emails,"},{"speaker":"Kim","startTime":148.62,"endTime":151.86,"body":"and questions, and comments that"},{"speaker":"Kim","startTime":151.86,"endTime":154.08,"body":"they have (unclear) listening"},{"speaker":"Kim","startTime":151.86,"endTime":154.08,"body":"each week. And so, in this"},{"speaker":"Kim","startTime":154.08,"endTime":157.68,"body":"episode, we are going to"},{"speaker":"Kim","startTime":154.08,"endTime":157.68,"body":"actually answer a fantastic"},{"speaker":"Kim","startTime":157.71,"endTime":160.32,"body":"email question that we got from"},{"speaker":"Kim","startTime":157.71,"endTime":160.32,"body":"Amanda."},{"speaker":"Pam","startTime":160.53,"endTime":163.41,"body":"So, thanks, Amanda! Check"},{"speaker":"Pam","startTime":160.53,"endTime":163.41,"body":"out this. I'm actually going to"},{"speaker":"Pam","startTime":163.41,"endTime":166.08,"body":"read the email, everybody."},{"speaker":"Pam","startTime":163.41,"endTime":166.08,"body":"Ready? Because this is fun. Here"},{"speaker":"Pam","startTime":166.08,"endTime":169.47,"body":"we go. So, Amanda said \"Hi."},{"speaker":"Pam","startTime":166.08,"endTime":169.47,"body":"First of all, I want to thank"},{"speaker":"Pam","startTime":169.47,"endTime":172.08,"body":"you.\" Well, Amanda, you're"},{"speaker":"Pam","startTime":169.47,"endTime":172.08,"body":"welcome. That's excellent. \"I"},{"speaker":"Pam","startTime":172.11,"endTime":175.92,"body":"have learned so much from you."},{"speaker":"Pam","startTime":172.11,"endTime":175.92,"body":"I'm a K-5 math coach. I've"},{"speaker":"Pam","startTime":175.92,"endTime":178.8,"body":"participated in your recent"},{"speaker":"Pam","startTime":175.92,"endTime":178.8,"body":"challenge including...\""},{"speaker":"Kim","startTime":178.8,"endTime":179.49,"body":"Woohoo! Challenges!"},{"speaker":"Pam","startTime":179.49,"endTime":182.34,"body":"Whohoo! Hey! In fact,"},{"speaker":"Pam","startTime":179.49,"endTime":182.34,"body":"ya'll, we're trying to become"},{"speaker":"Pam","startTime":182.34,"endTime":186.39,"body":"the challenge math educators."},{"speaker":"Pam","startTime":182.34,"endTime":186.39,"body":"Like, we want to be that in that"},{"speaker":"Pam","startTime":186.39,"endTime":189.66,"body":"space, where if someone says"},{"speaker":"Pam","startTime":186.39,"endTime":189.66,"body":"\"challenge\" and \"math class\","},{"speaker":"Pam","startTime":189.66,"endTime":191.97,"body":"and you're like, \"Oh, yeah.\""},{"speaker":"Pam","startTime":189.66,"endTime":191.97,"body":"Like. \"Join the Math is"},{"speaker":"Pam","startTime":191.97,"endTime":195.54,"body":"Figure-Out-Able challenges.\" She"},{"speaker":"Pam","startTime":191.97,"endTime":195.54,"body":"said she joined the backstage."},{"speaker":"Pam","startTime":195.87,"endTime":197.34,"body":"She has a shirt. Whoa!"},{"speaker":"Pam","startTime":195.87,"endTime":197.34,"body":"(unclear)."},{"speaker":"Kim","startTime":198.78,"endTime":200.16,"body":"(unclear). Everybody needs"},{"speaker":"Kim","startTime":198.78,"endTime":200.16,"body":"one of those."},{"speaker":"Pam","startTime":200.25,"endTime":202.83,"body":"Everybody needs one of"},{"speaker":"Pam","startTime":200.25,"endTime":202.83,"body":"those. Absolutely. We should. We"},{"speaker":"Pam","startTime":202.83,"endTime":204.39,"body":"sell somewhere, right? On the..."},{"speaker":"Kim","startTime":204.45,"endTime":204.66,"body":"Yeah."},{"speaker":"Pam","startTime":204.66,"endTime":205.14,"body":"On the website?"},{"speaker":"Kim","startTime":205.14,"endTime":205.68,"body":"On the website."},{"speaker":"Pam","startTime":205.89,"endTime":208.95,"body":"And to be clear, listeners,"},{"speaker":"Pam","startTime":205.89,"endTime":208.95,"body":"my goal on everything that we"},{"speaker":"Pam","startTime":208.95,"endTime":211.02,"body":"sell merch wise is to break"},{"speaker":"Pam","startTime":208.95,"endTime":211.02,"body":"even."},{"speaker":"Kim","startTime":211.02,"endTime":211.08,"body":"Yeah."},{"speaker":"Pam","startTime":211.14,"endTime":214.8,"body":"So, we price those things"},{"speaker":"Pam","startTime":211.14,"endTime":214.8,"body":"as absolutely... What's the word"},{"speaker":"Pam","startTime":214.8,"endTime":217.47,"body":"I want? Less? As least? As"},{"speaker":"Pam","startTime":214.8,"endTime":217.47,"body":"little? As..."},{"speaker":"Kim","startTime":217.89,"endTime":219.3,"body":"Less expensive as..."},{"speaker":"Pam","startTime":219.39,"endTime":220.11,"body":"Thank you."},{"speaker":"Kim","startTime":221.43,"endTime":222.33,"body":"(unclear) the right word"},{"speaker":"Kim","startTime":221.43,"endTime":222.33,"body":"is."},{"speaker":"Pam","startTime":222.36,"endTime":225.24,"body":"The cost is as little as we"},{"speaker":"Pam","startTime":222.36,"endTime":225.24,"body":"can make it, so..."},{"speaker":"Kim","startTime":225.24,"endTime":225.51,"body":"There you go."},{"speaker":"Pam","startTime":225.81,"endTime":228.42,"body":"So, I don't lose money. But"},{"speaker":"Pam","startTime":225.81,"endTime":228.42,"body":"it's literally that. Because you"},{"speaker":"Pam","startTime":228.42,"endTime":231.57,"body":"guys are teachers, I want it to"},{"speaker":"Pam","startTime":228.42,"endTime":231.57,"body":"be as affordable as possible."},{"speaker":"Pam","startTime":231.78,"endTime":234.36,"body":"And so, we do that on purpose."},{"speaker":"Pam","startTime":231.78,"endTime":234.36,"body":"Anyway, so great job getting"},{"speaker":"Pam","startTime":234.36,"endTime":236.97,"body":"your shirt, Amanda. Alright, so"},{"speaker":"Pam","startTime":234.36,"endTime":236.97,"body":"she said, \"I've watched your"},{"speaker":"Pam","startTime":236.97,"endTime":240.6,"body":"free class...\" Ah! So,"},{"speaker":"Pam","startTime":236.97,"endTime":240.6,"body":"listeners, if you don't know"},{"speaker":"Pam","startTime":240.6,"endTime":243.0,"body":"that we have a free workshop."},{"speaker":"Pam","startTime":240.6,"endTime":243.0,"body":"Kim, tell us about it."},{"speaker":"Kim","startTime":243.45,"endTime":246.12,"body":"Oh, they got to see this,"},{"speaker":"Kim","startTime":243.45,"endTime":246.12,"body":"right? Development of"},{"speaker":"Kim","startTime":246.12,"endTime":247.41,"body":"Mathematical Reasoning."},{"speaker":"Pam","startTime":247.83,"endTime":248.13,"body":"Bam!"},{"speaker":"Kim","startTime":248.16,"endTime":251.61,"body":"It's amazing! It is the"},{"speaker":"Kim","startTime":248.16,"endTime":251.61,"body":"best free workshop you will"},{"speaker":"Kim","startTime":251.61,"endTime":253.59,"body":"ever, EVER get to see."},{"speaker":"Pam","startTime":254.16,"endTime":257.01,"body":"Totally cool. I went and"},{"speaker":"Pam","startTime":254.16,"endTime":257.01,"body":"did my most asked for"},{"speaker":"Pam","startTime":257.04,"endTime":259.41,"body":"professional learning with a"},{"speaker":"Pam","startTime":257.04,"endTime":259.41,"body":"group of teachers live. We"},{"speaker":"Pam","startTime":259.41,"endTime":262.65,"body":"videoed it, turned it into an"},{"speaker":"Pam","startTime":259.41,"endTime":262.65,"body":"asynchronous online worship, and"},{"speaker":"Pam","startTime":262.65,"endTime":264.3,"body":"it is available completely for"},{"speaker":"Pam","startTime":262.65,"endTime":264.3,"body":"free."},{"speaker":"Pam","startTime":264.69,"endTime":267.66,"body":"mathisfigureoutable.com/freeworkshop."},{"speaker":"Kim","startTime":267.81,"endTime":268.11,"body":"Yep."},{"speaker":"Pam","startTime":268.44,"endTime":271.56,"body":"Is it free-workshop? It's"},{"speaker":"Pam","startTime":268.44,"endTime":271.56,"body":"one of those."},{"speaker":"Kim","startTime":271.56,"endTime":271.92,"body":"I think it's freeworkshop."},{"speaker":"Pam","startTime":273.0,"endTime":275.04,"body":"If you'll just go to the"},{"speaker":"Pam","startTime":273.0,"endTime":275.04,"body":"website,"},{"speaker":"Pam","startTime":275.04,"endTime":277.35,"body":"mathisfigureoutable.com, one of"},{"speaker":"Pam","startTime":275.04,"endTime":277.35,"body":"the very first things that"},{"speaker":"Pam","startTime":277.35,"endTime":279.87,"body":"you'll get to is, like she said,"},{"speaker":"Pam","startTime":277.35,"endTime":279.87,"body":"Developing Mathematical"},{"speaker":"Pam","startTime":279.87,"endTime":282.81,"body":"Reasoning. Check it out totally"},{"speaker":"Pam","startTime":279.87,"endTime":282.81,"body":"free. 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We need one of"},{"speaker":"Pam","startTime":295.77,"endTime":298.47,"body":"those sound things, where we can"},{"speaker":"Pam","startTime":295.77,"endTime":298.47,"body":"go [Pam mimicks cheering"},{"speaker":"Pam","startTime":298.47,"endTime":300.33,"body":"applause]. We don't have one"},{"speaker":"Pam","startTime":298.47,"endTime":300.33,"body":"those."},{"speaker":"Kim","startTime":300.54,"endTime":301.17,"body":"We do not."},{"speaker":"Pam","startTime":301.62,"endTime":304.47,"body":"No, we do not. Kim's like,"},{"speaker":"Pam","startTime":301.62,"endTime":304.47,"body":"\"No, we are not adding that to"},{"speaker":"Pam","startTime":304.47,"endTime":307.59,"body":"the podcast.\" I'm kind of"},{"speaker":"Pam","startTime":304.47,"endTime":307.59,"body":"agreeing with that. But that"},{"speaker":"Pam","startTime":307.59,"endTime":309.9,"body":"means that I'm going to make"},{"speaker":"Pam","startTime":307.59,"endTime":309.9,"body":"those noises. Is that a good"},{"speaker":"Pam","startTime":309.9,"endTime":310.92,"body":"idea? I don't know. Okay, so."},{"speaker":"Kim","startTime":310.92,"endTime":313.14,"body":"She's done all the things"},{"speaker":"Kim","startTime":310.92,"endTime":313.14,"body":"Amanda's fabulous!"},{"speaker":"Pam","startTime":313.32,"endTime":316.05,"body":"Yeah. And you are going to"},{"speaker":"Pam","startTime":313.32,"endTime":316.05,"body":"love both the addition and"},{"speaker":"Pam","startTime":316.05,"endTime":318.36,"body":"multiplication workshops."},{"speaker":"Pam","startTime":316.05,"endTime":318.36,"body":"Absolutely love it. Let me tell"},{"speaker":"Pam","startTime":318.36,"endTime":321.42,"body":"you when I answered Amanda, one"},{"speaker":"Pam","startTime":318.36,"endTime":321.42,"body":"of the things that I said was"},{"speaker":"Pam","startTime":321.66,"endTime":325.05,"body":"like, \"Wonderful to have you in"},{"speaker":"Pam","startTime":321.66,"endTime":325.05,"body":"two workshops! However, now that"},{"speaker":"Pam","startTime":325.05,"endTime":328.41,"body":"we know that you're a leader, do"},{"speaker":"Pam","startTime":325.05,"endTime":328.41,"body":"you know that we have a thing"},{"speaker":"Pam","startTime":328.41,"endTime":329.88,"body":"called JourneyLEADER...\""},{"speaker":"Kim","startTime":329.91,"endTime":330.24,"body":"Yeah."},{"speaker":"Pam","startTime":330.24,"endTime":332.31,"body":"\"...which is not time"},{"speaker":"Pam","startTime":330.24,"endTime":332.31,"body":"sensitive. You can sign up at"},{"speaker":"Pam","startTime":332.31,"endTime":334.53,"body":"any time.\" So, leaders, if"},{"speaker":"Pam","startTime":332.31,"endTime":334.53,"body":"you're listening right now, or"},{"speaker":"Pam","startTime":334.53,"endTime":338.22,"body":"anyone who might be interested"},{"speaker":"Pam","startTime":334.53,"endTime":338.22,"body":"in taking two workshops, for"},{"speaker":"Pam","startTime":338.22,"endTime":342.93,"body":"just a little bit more, you get"},{"speaker":"Pam","startTime":338.22,"endTime":342.93,"body":"access to all my online"},{"speaker":"Pam","startTime":342.93,"endTime":346.26,"body":"workshops plus extra leader"},{"speaker":"Pam","startTime":342.93,"endTime":346.26,"body":"support, plus everything"},{"speaker":"Pam","startTime":346.26,"endTime":347.31,"body":"wonderful in Journey."},{"speaker":"Kim","startTime":347.7,"endTime":347.79,"body":"Yeah."},{"speaker":"Pam","startTime":347.79,"endTime":351.39,"body":"So, leaders, make sure that"},{"speaker":"Pam","startTime":347.79,"endTime":351.39,"body":"you're aware that we can do you"},{"speaker":"Pam","startTime":351.39,"endTime":352.35,"body":"better, so."},{"speaker":"Kim","startTime":352.35,"endTime":352.59,"body":"Yeah."},{"speaker":"Pam","startTime":352.95,"endTime":355.83,"body":"Anyway, so I told her about"},{"speaker":"Pam","startTime":352.95,"endTime":355.83,"body":"that in the reply. Cool. So,"},{"speaker":"Pam","startTime":355.83,"endTime":359.46,"body":"then, she said, \"I'm looking"},{"speaker":"Pam","startTime":355.83,"endTime":359.46,"body":"really closely at your 16 page"},{"speaker":"Pam","startTime":359.49,"endTime":362.43,"body":"booklet that you shared at the"},{"speaker":"Pam","startTime":359.49,"endTime":362.43,"body":"recent challenge.\""},{"speaker":"Kim","startTime":362.46,"endTime":365.67,"body":"Yeah, that might be one of"},{"speaker":"Kim","startTime":362.46,"endTime":365.67,"body":"my favorite freebies."},{"speaker":"Pam","startTime":365.76,"endTime":368.1,"body":"Yeah. Like, we give away a"},{"speaker":"Pam","startTime":365.76,"endTime":368.1,"body":"lot of stuff, right? We're"},{"speaker":"Pam","startTime":368.1,"endTime":370.53,"body":"trying to flood the earth with"},{"speaker":"Pam","startTime":368.1,"endTime":370.53,"body":"real math and real math"},{"speaker":"Pam","startTime":370.53,"endTime":374.25,"body":"teaching, so we created a free"},{"speaker":"Pam","startTime":370.53,"endTime":374.25,"body":"ebooklet that's called the..."},{"speaker":"Pam","startTime":374.28,"endTime":377.88,"body":"Mmm, what is it called? We named"},{"speaker":"Pam","startTime":374.28,"endTime":377.88,"body":"it a couple different things."},{"speaker":"Pam","startTime":378.12,"endTime":379.65,"body":"Major Numeracy Strategies."},{"speaker":"Kim","startTime":379.92,"endTime":380.76,"body":"Yeah, I think so."},{"speaker":"Pam","startTime":380.94,"endTime":382.98,"body":"Yeah. Where you can get"},{"speaker":"Pam","startTime":380.94,"endTime":382.98,"body":"that at"},{"speaker":"Pam","startTime":382.98,"endTime":388.32,"body":"mathisfigureoutable.com/big."},{"speaker":"Pam","startTime":382.98,"endTime":388.32,"body":"Like B-I-G. Big. Because it's"},{"speaker":"Pam","startTime":388.32,"endTime":389.43,"body":"big, ya'll."},{"speaker":"Kim","startTime":389.46,"endTime":389.64,"body":"Yeah."},{"speaker":"Pam","startTime":389.64,"endTime":391.32,"body":"So, if you have not"},{"speaker":"Pam","startTime":389.64,"endTime":391.32,"body":"downloaded that yet, check it"},{"speaker":"Pam","startTime":391.32,"endTime":394.26,"body":"out. Anyway, so she had"},{"speaker":"Pam","startTime":391.32,"endTime":394.26,"body":"downloaded it. We've given it to"},{"speaker":"Pam","startTime":394.29,"endTime":397.11,"body":"all of our last challenge"},{"speaker":"Pam","startTime":394.29,"endTime":397.11,"body":"participants. She said, \"Without"},{"speaker":"Pam","startTime":397.23,"endTime":400.92,"body":"writing a very long email"},{"speaker":"Pam","startTime":397.23,"endTime":400.92,"body":"(chuckle, chuckle), I'm really"},{"speaker":"Pam","startTime":400.92,"endTime":403.23,"body":"thinking about how to support"},{"speaker":"Pam","startTime":400.92,"endTime":403.23,"body":"teachers, both in their"},{"speaker":"Pam","startTime":403.23,"endTime":407.16,"body":"identities as mathematicians.\""},{"speaker":"Pam","startTime":403.23,"endTime":407.16,"body":"Absolutely! Like, I can't"},{"speaker":"Pam","startTime":407.16,"endTime":409.98,"body":"support that more. That's"},{"speaker":"Pam","startTime":407.16,"endTime":409.98,"body":"fabulous. She says, \"...which,"},{"speaker":"Pam","startTime":409.98,"endTime":412.65,"body":"sadly, most elementary school"},{"speaker":"Pam","startTime":409.98,"endTime":412.65,"body":"teachers do not feel they are"},{"speaker":"Pam","startTime":412.65,"endTime":415.59,"body":"mathematicians the way they know"},{"speaker":"Pam","startTime":412.65,"endTime":415.59,"body":"they are readers, writers.\""},{"speaker":"Kim","startTime":415.71,"endTime":416.07,"body":"Yeah."},{"speaker":"Pam","startTime":416.4,"endTime":419.16,"body":"Which is interesting,"},{"speaker":"Pam","startTime":416.4,"endTime":419.16,"body":"right? Like, I think that many"},{"speaker":"Pam","startTime":419.16,"endTime":421.41,"body":"elementary teachers would relate"},{"speaker":"Pam","startTime":419.16,"endTime":421.41,"body":"to that. They consider"},{"speaker":"Pam","startTime":421.41,"endTime":424.5,"body":"themselves readers and writers,"},{"speaker":"Pam","startTime":421.41,"endTime":424.5,"body":"and they teach that and they."},{"speaker":"Pam","startTime":424.71,"endTime":427.32,"body":"But as they teach math, they"},{"speaker":"Pam","startTime":424.71,"endTime":427.32,"body":"don't necessarily consider"},{"speaker":"Pam","startTime":427.32,"endTime":431.43,"body":"themselves mathematizing, even"},{"speaker":"Pam","startTime":427.32,"endTime":431.43,"body":"at that grade level. She said,"},{"speaker":"Pam","startTime":431.49,"endTime":434.55,"body":"\"...and how to help them up"},{"speaker":"Pam","startTime":431.49,"endTime":434.55,"body":"their math teaching game.\""},{"speaker":"Pam","startTime":434.88,"endTime":438.18,"body":"Fabulous. We support that goal."},{"speaker":"Pam","startTime":434.88,"endTime":438.18,"body":"Absolutely. Then, she says,"},{"speaker":"Pam","startTime":438.3,"endTime":440.97,"body":"\"There's a relatively finite"},{"speaker":"Pam","startTime":438.3,"endTime":440.97,"body":"group of strategies for early"},{"speaker":"Pam","startTime":440.97,"endTime":445.14,"body":"addition and subtraction, I"},{"speaker":"Pam","startTime":440.97,"endTime":445.14,"body":"think is...\" Oh, let me pause"},{"speaker":"Pam","startTime":445.14,"endTime":449.04,"body":"there. We would agree with that,"},{"speaker":"Pam","startTime":445.14,"endTime":449.04,"body":"that there is a relatively"},{"speaker":"Pam","startTime":449.04,"endTime":449.76,"body":"finite."},{"speaker":"Kim","startTime":449.79,"endTime":450.18,"body":"Yes."},{"speaker":"Pam","startTime":450.18,"endTime":453.09,"body":"(unclear) of strategies for"},{"speaker":"Pam","startTime":450.18,"endTime":453.09,"body":"not only early addition,"},{"speaker":"Pam","startTime":453.09,"endTime":457.59,"body":"subtraction, but really kind of"},{"speaker":"Pam","startTime":453.09,"endTime":457.59,"body":"everything we do. So, pick an"},{"speaker":"Pam","startTime":457.59,"endTime":462.66,"body":"operation, pick writing the"},{"speaker":"Pam","startTime":457.59,"endTime":462.66,"body":"equation of a line, writing a"},{"speaker":"Pam","startTime":462.66,"endTime":466.2,"body":"function rule for exponential"},{"speaker":"Pam","startTime":462.66,"endTime":466.2,"body":"data. Like, pick... I'm trying"},{"speaker":"Pam","startTime":466.2,"endTime":468.84,"body":"to think of a middle school"},{"speaker":"Pam","startTime":466.2,"endTime":468.84,"body":"example...solving a proportion."},{"speaker":"Pam","startTime":468.93,"endTime":473.79,"body":"Like, pick a thing, and I think"},{"speaker":"Pam","startTime":468.93,"endTime":473.79,"body":"there is a finite set of"},{"speaker":"Pam","startTime":473.79,"endTime":475.74,"body":"important strategies."},{"speaker":"Kim","startTime":475.74,"endTime":475.77,"body":"Mmhmm."},{"speaker":"Pam","startTime":476.16,"endTime":479.79,"body":"The strategies that we"},{"speaker":"Pam","startTime":476.16,"endTime":479.79,"body":"really want and need kids to"},{"speaker":"Pam","startTime":479.79,"endTime":483.93,"body":"own, so that they can sort of be"},{"speaker":"Pam","startTime":479.79,"endTime":483.93,"body":"successful enough."},{"speaker":"Kim","startTime":484.38,"endTime":484.77,"body":"Yeah."},{"speaker":"Pam","startTime":485.1,"endTime":487.71,"body":"So, that's important. We'll"},{"speaker":"Pam","startTime":485.1,"endTime":487.71,"body":"sort of grant you that. Then,"},{"speaker":"Pam","startTime":487.71,"endTime":491.37,"body":"she said, \"I think it's almost"},{"speaker":"Pam","startTime":487.71,"endTime":491.37,"body":"freeing for teachers because it"},{"speaker":"Pam","startTime":491.37,"endTime":496.62,"body":"can give them a measurable goal,"},{"speaker":"Pam","startTime":491.37,"endTime":496.62,"body":"as opposed to the vast openness"},{"speaker":"Pam","startTime":496.62,"endTime":499.74,"body":"that many felt from common"},{"speaker":"Pam","startTime":496.62,"endTime":499.74,"body":"core.\" Now, I would suggest"},{"speaker":"Pam","startTime":499.74,"endTime":503.07,"body":"that, that was a little bit of"},{"speaker":"Pam","startTime":499.74,"endTime":503.07,"body":"an anachronistic. They didn't"},{"speaker":"Pam","startTime":503.07,"endTime":505.53,"body":"have to feel that from common"},{"speaker":"Pam","startTime":503.07,"endTime":505.53,"body":"core. I think they might have"},{"speaker":"Pam","startTime":505.53,"endTime":509.07,"body":"felt that more for materials"},{"speaker":"Pam","startTime":505.53,"endTime":509.07,"body":"that came along with common core"},{"speaker":"Pam","startTime":509.07,"endTime":511.89,"body":"that. Just like the standards"},{"speaker":"Pam","startTime":509.07,"endTime":511.89,"body":"themselves. But I would agree"},{"speaker":"Pam","startTime":511.89,"endTime":515.25,"body":"that many people felt this vast"},{"speaker":"Pam","startTime":511.89,"endTime":515.25,"body":"openness like that there was"},{"speaker":"Pam","startTime":515.25,"endTime":519.03,"body":"this infinite set of"},{"speaker":"Pam","startTime":515.25,"endTime":519.03,"body":"relationships and strategies,"},{"speaker":"Pam","startTime":519.03,"endTime":522.72,"body":"and so we should just teach the"},{"speaker":"Pam","startTime":519.03,"endTime":522.72,"body":"algorithm because \"What? What"},{"speaker":"Pam","startTime":522.72,"endTime":523.32,"body":"does all the rest of...\""},{"speaker":"Pam","startTime":522.72,"endTime":523.32,"body":"(unclear)"},{"speaker":"Kim","startTime":523.32,"endTime":524.82,"body":"Yeah, we can't teach it."},{"speaker":"Kim","startTime":523.32,"endTime":524.82,"body":"Yeah."},{"speaker":"Pam","startTime":524.85,"endTime":527.82,"body":"Yeah. We can't quantify it."},{"speaker":"Pam","startTime":524.85,"endTime":527.82,"body":"We can't, like, list it all out."},{"speaker":"Pam","startTime":528.42,"endTime":531.12,"body":"So, I agree with you. That was a"},{"speaker":"Pam","startTime":528.42,"endTime":531.12,"body":"little tricky for many people."},{"speaker":"Pam","startTime":531.18,"endTime":534.21,"body":"So, she says, \"I'm really"},{"speaker":"Pam","startTime":531.18,"endTime":534.21,"body":"looking forward to working with"},{"speaker":"Pam","startTime":534.21,"endTime":537.36,"body":"these strategies this year.\""},{"speaker":"Pam","startTime":534.21,"endTime":537.36,"body":"Well, Amanda, we think that's a"},{"speaker":"Pam","startTime":537.36,"endTime":539.7,"body":"fabulous idea. And we would"},{"speaker":"Pam","startTime":537.36,"endTime":539.7,"body":"encourage all leaders to do that"},{"speaker":"Pam","startTime":539.7,"endTime":544.08,"body":"very thing. Like download the"},{"speaker":"Pam","startTime":539.7,"endTime":544.08,"body":"/big...mathisfigureoutable.com/big...and"},{"speaker":"Pam","startTime":544.86,"endTime":547.23,"body":"use it all you want! Use it with"},{"speaker":"Pam","startTime":544.86,"endTime":547.23,"body":"your teachers. Use it with"},{"speaker":"Pam","startTime":547.23,"endTime":550.83,"body":"anybody that you work with. We"},{"speaker":"Pam","startTime":547.23,"endTime":550.83,"body":"are putting out that this is the"},{"speaker":"Pam","startTime":550.83,"endTime":554.28,"body":"research, this is the part of my"},{"speaker":"Pam","startTime":550.83,"endTime":554.28,"body":"work that I've done to say,"},{"speaker":"Pam","startTime":554.28,"endTime":557.25,"body":"\"Here are the important"},{"speaker":"Pam","startTime":554.28,"endTime":557.25,"body":"strategies, and it's this fairly"},{"speaker":"Pam","startTime":557.25,"endTime":561.57,"body":"limited finite set.\" Okay, so"},{"speaker":"Pam","startTime":557.25,"endTime":561.57,"body":"here's the meat, then, of her"},{"speaker":"Pam","startTime":561.57,"endTime":565.86,"body":"question. She says, \"So...\""},{"speaker":"Pam","startTime":561.57,"endTime":565.86,"body":"Thank you, Amanda. \"So, I have"},{"speaker":"Pam","startTime":565.86,"endTime":570.0,"body":"observed a common subtraction"},{"speaker":"Pam","startTime":565.86,"endTime":570.0,"body":"strategies that kids use that I"},{"speaker":"Pam","startTime":570.0,"endTime":573.75,"body":"think belongs on your early"},{"speaker":"Pam","startTime":570.0,"endTime":573.75,"body":"list.\" Then, she says, \"I'm not"},{"speaker":"Pam","startTime":573.75,"endTime":577.5,"body":"trying to be presumptuous here."},{"speaker":"Pam","startTime":573.75,"endTime":577.5,"body":"LOL. But I'm very interested in"},{"speaker":"Pam","startTime":577.5,"endTime":579.93,"body":"your reasoning why you didn't"},{"speaker":"Pam","startTime":577.5,"endTime":579.93,"body":"put it on?\" Well, that's"},{"speaker":"Pam","startTime":579.93,"endTime":583.44,"body":"fabulous, Amanda. Like, I really"},{"speaker":"Pam","startTime":579.93,"endTime":583.44,"body":"appreciate that. And may I"},{"speaker":"Pam","startTime":583.83,"endTime":588.96,"body":"invite everybody to push back."},{"speaker":"Pam","startTime":583.83,"endTime":588.96,"body":"Like, I would really invite your"},{"speaker":"Pam","startTime":588.96,"endTime":593.07,"body":"insights about what you think"},{"speaker":"Pam","startTime":588.96,"endTime":593.07,"body":"the major strategies are. And"},{"speaker":"Pam","startTime":593.1,"endTime":596.76,"body":"I'm going to tell you today what"},{"speaker":"Pam","startTime":593.1,"endTime":596.76,"body":"I think about your idea, and why"},{"speaker":"Pam","startTime":596.76,"endTime":600.03,"body":"we're going to include it or not"},{"speaker":"Pam","startTime":596.76,"endTime":600.03,"body":"on our major strategies list."},{"speaker":"Pam","startTime":600.36,"endTime":604.2,"body":"But if anybody else has other"},{"speaker":"Pam","startTime":600.36,"endTime":604.2,"body":"operations or areas in math"},{"speaker":"Pam","startTime":604.2,"endTime":606.75,"body":"where you think you've got a"},{"speaker":"Pam","startTime":604.2,"endTime":606.75,"body":"major strategy that I haven't"},{"speaker":"Pam","startTime":606.75,"endTime":610.86,"body":"considered, absolutely that is a"},{"speaker":"Pam","startTime":606.75,"endTime":610.86,"body":"possibility, that is maybe even"},{"speaker":"Pam","startTime":610.86,"endTime":613.62,"body":"a probability because there's a"},{"speaker":"Pam","startTime":610.86,"endTime":613.62,"body":"lot of math, and there's a lot"},{"speaker":"Pam","startTime":613.62,"endTime":616.86,"body":"of different things to consider."},{"speaker":"Pam","startTime":613.62,"endTime":616.86,"body":"I have thought really deeply for"},{"speaker":"Pam","startTime":616.86,"endTime":620.58,"body":"quite a while about the four"},{"speaker":"Pam","startTime":616.86,"endTime":620.58,"body":"operations, but I still want"},{"speaker":"Pam","startTime":620.58,"endTime":623.85,"body":"you're. I still would really"},{"speaker":"Pam","startTime":620.58,"endTime":623.85,"body":"welcome your input. Okay, Kim,"},{"speaker":"Pam","startTime":623.85,"endTime":625.8,"body":"is there any that you want to"},{"speaker":"Pam","startTime":623.85,"endTime":625.8,"body":"talk about before I read the"},{"speaker":"Pam","startTime":625.8,"endTime":626.43,"body":"rest of the email?"},{"speaker":"Kim","startTime":626.46,"endTime":629.28,"body":"Well, I'm interested to"},{"speaker":"Kim","startTime":626.46,"endTime":629.28,"body":"hear what the strategy is."},{"speaker":"Pam","startTime":629.31,"endTime":629.55,"body":"Right,"},{"speaker":"Pam","startTime":629.55,"endTime":635.43,"body":"right. Okay. So she said, Here"},{"speaker":"Pam","startTime":629.55,"endTime":635.43,"body":"it is: Take from the 10.\" Now"},{"speaker":"Pam","startTime":635.43,"endTime":638.46,"body":"remember, this is a small"},{"speaker":"Pam","startTime":635.43,"endTime":638.46,"body":"subtraction strategy, small"},{"speaker":"Pam","startTime":638.46,"endTime":641.64,"body":"number subtraction strategy. So,"},{"speaker":"Pam","startTime":638.46,"endTime":641.64,"body":"she said, \"For example: For 15"},{"speaker":"Pam","startTime":641.64,"endTime":646.89,"body":"minus 7. If it's a take from 10"},{"speaker":"Pam","startTime":641.64,"endTime":646.89,"body":"strategy for 15 minus 7, think"},{"speaker":"Pam","startTime":646.92,"endTime":651.69,"body":"10 minus 7 is 3. But then, you"},{"speaker":"Pam","startTime":646.92,"endTime":651.69,"body":"have to tack that 5 back on.\""},{"speaker":"Pam","startTime":651.69,"endTime":654.18,"body":"You sort of ignored the 5 in the"},{"speaker":"Pam","startTime":651.69,"endTime":654.18,"body":"15."},{"speaker":"Kim","startTime":654.18,"endTime":654.21,"body":"Mmhmm."},{"speaker":"Pam","startTime":654.21,"endTime":657.45,"body":"\"And you just like, 10"},{"speaker":"Pam","startTime":654.21,"endTime":657.45,"body":"minus 7, that's 3. Then, you're"},{"speaker":"Pam","startTime":657.45,"endTime":661.77,"body":"going to bring that 5 back that"},{"speaker":"Pam","startTime":657.45,"endTime":661.77,"body":"you ignored. So, 3 plus 5 is 8."},{"speaker":"Pam","startTime":662.37,"endTime":664.92,"body":"So, 15 minus 7 is 8.\" Does that"},{"speaker":"Pam","startTime":662.37,"endTime":664.92,"body":"make sense?"},{"speaker":"Kim","startTime":665.76,"endTime":665.79,"body":"Mmhmm."},{"speaker":"Pam","startTime":665.88,"endTime":671.01,"body":"In fact, as I say that Kim."},{"speaker":"Pam","startTime":665.88,"endTime":671.01,"body":"Am I right? You used that"},{"speaker":"Pam","startTime":671.01,"endTime":672.75,"body":"strategy as a small child?"},{"speaker":"Kim","startTime":675.6,"endTime":679.77,"body":"That's a great question."},{"speaker":"Kim","startTime":675.6,"endTime":679.77,"body":"I'm thinking I have, yes, used"},{"speaker":"Kim","startTime":679.77,"endTime":680.79,"body":"that strategy."},{"speaker":"Pam","startTime":681.06,"endTime":684.63,"body":"Okay. Maybe I'll do another"},{"speaker":"Pam","startTime":681.06,"endTime":684.63,"body":"example before we get into it."},{"speaker":"Kim","startTime":684.63,"endTime":684.72,"body":"Okay."},{"speaker":"Pam","startTime":684.72,"endTime":686.7,"body":"It just occurred to me"},{"speaker":"Pam","startTime":684.72,"endTime":686.7,"body":"people might need a little bit"},{"speaker":"Pam","startTime":686.7,"endTime":686.88,"body":"more."},{"speaker":"Kim","startTime":686.88,"endTime":686.94,"body":"Yeah."},{"speaker":"Pam","startTime":687.33,"endTime":690.51,"body":"So, how about 14 minus 6?"},{"speaker":"Pam","startTime":687.33,"endTime":690.51,"body":"So, 14 minus 6. I'm going to"},{"speaker":"Pam","startTime":690.51,"endTime":693.81,"body":"ignore the 4 I'm going to take"},{"speaker":"Pam","startTime":690.51,"endTime":693.81,"body":"from the 10. So, 10 minus 6 is"},{"speaker":"Pam","startTime":693.81,"endTime":694.41,"body":"4."},{"speaker":"Kim","startTime":695.22,"endTime":695.25,"body":"Mmhmm."},{"speaker":"Pam","startTime":695.28,"endTime":698.49,"body":"But I ignored that other 4."},{"speaker":"Pam","startTime":695.28,"endTime":698.49,"body":"That's kind of a dumb problem."},{"speaker":"Pam","startTime":698.52,"endTime":702.48,"body":"Sorry. I ignored the other 4, so"},{"speaker":"Pam","startTime":698.52,"endTime":702.48,"body":"I have the. 10 minus 6 is 4. But"},{"speaker":"Pam","startTime":702.48,"endTime":705.84,"body":"the 4 I ignored I put back on."},{"speaker":"Pam","startTime":702.48,"endTime":705.84,"body":"So, 4 and 4 is 8. Let me do one"},{"speaker":"Pam","startTime":705.84,"endTime":709.47,"body":"more. 17 minus 9. I'm going to"},{"speaker":"Pam","startTime":705.84,"endTime":709.47,"body":"ignore the 7, so I'm going to"},{"speaker":"Pam","startTime":709.47,"endTime":712.38,"body":"think about 10 minus 9, that's"},{"speaker":"Pam","startTime":709.47,"endTime":712.38,"body":"1. But I got to bring that 7"},{"speaker":"Pam","startTime":712.38,"endTime":717.51,"body":"back. 1 plus 7 is 8. So, 17"},{"speaker":"Pam","startTime":712.38,"endTime":717.51,"body":"minus 9 is 8. So, the take from"},{"speaker":"Pam","startTime":717.54,"endTime":720.36,"body":"10 strategy. So, Kim, what are"},{"speaker":"Pam","startTime":717.54,"endTime":720.36,"body":"you thinking about that"},{"speaker":"Pam","startTime":720.36,"endTime":720.81,"body":"strategy?"},{"speaker":"Kim","startTime":721.98,"endTime":726.0,"body":"So, I like it. I think it's"},{"speaker":"Kim","startTime":721.98,"endTime":726.0,"body":"a really great strategy that"},{"speaker":"Kim","startTime":726.0,"endTime":730.71,"body":"you. When you say, \"Didn't you"},{"speaker":"Kim","startTime":726.0,"endTime":730.71,"body":"use that strategy?\" I have used"},{"speaker":"Kim","startTime":730.71,"endTime":735.21,"body":"that strategy for slightly"},{"speaker":"Kim","startTime":730.71,"endTime":735.21,"body":"larger numbers. I don't know"},{"speaker":"Kim","startTime":735.21,"endTime":738.36,"body":"that I ever used it for, what I"},{"speaker":"Kim","startTime":735.21,"endTime":738.36,"body":"would consider these are, kind"},{"speaker":"Kim","startTime":738.36,"endTime":745.74,"body":"of basic facts I have. Because I"},{"speaker":"Kim","startTime":738.36,"endTime":745.74,"body":"know combinations of 100 really"},{"speaker":"Kim","startTime":745.74,"endTime":751.59,"body":"well, then I have used it for"},{"speaker":"Kim","startTime":745.74,"endTime":751.59,"body":"say like a problem like 159"},{"speaker":"Kim","startTime":752.22,"endTime":758.16,"body":"minus 26. Then, I would set"},{"speaker":"Kim","startTime":752.22,"endTime":758.16,"body":"aside the 59. Do the 100 minus"},{"speaker":"Kim","startTime":758.19,"endTime":764.31,"body":"26 part to get 74. And then,"},{"speaker":"Kim","startTime":758.19,"endTime":764.31,"body":"just add back that 59 on. But"},{"speaker":"Kim","startTime":764.31,"endTime":768.75,"body":"here lies the problem for me."},{"speaker":"Kim","startTime":764.31,"endTime":768.75,"body":"Then I have to think about a"},{"speaker":"Kim","startTime":768.75,"endTime":772.14,"body":"problem like 74 plus 59."},{"speaker":"Pam","startTime":772.14,"endTime":772.17,"body":"Mmhmm."},{"speaker":"Kim","startTime":773.88,"endTime":778.08,"body":"And that's not as... It's a"},{"speaker":"Kim","startTime":773.88,"endTime":778.08,"body":"little crunchier for me than"},{"speaker":"Kim","startTime":778.08,"endTime":783.39,"body":"just subtracting the 26 in a"},{"speaker":"Kim","startTime":778.08,"endTime":783.39,"body":"really nice way. So, I have used"},{"speaker":"Kim","startTime":783.39,"endTime":788.25,"body":"this strategy. And also, we were"},{"speaker":"Kim","startTime":783.39,"endTime":788.25,"body":"just in a situation a couple of"},{"speaker":"Kim","startTime":788.25,"endTime":791.79,"body":"days ago, almost a week ago,"},{"speaker":"Kim","startTime":788.25,"endTime":791.79,"body":"where we saw this strategy being"},{"speaker":"Kim","startTime":791.79,"endTime":797.4,"body":"used by a participant in a"},{"speaker":"Kim","startTime":791.79,"endTime":797.4,"body":"workshop. And so, I think we"},{"speaker":"Kim","startTime":797.4,"endTime":800.73,"body":"both recognize this as a"},{"speaker":"Kim","startTime":797.4,"endTime":800.73,"body":"strategy and have made sense of"},{"speaker":"Kim","startTime":800.73,"endTime":804.03,"body":"this as a strategy. Can I tell"},{"speaker":"Kim","startTime":800.73,"endTime":804.03,"body":"you what I think, though?"},{"speaker":"Pam","startTime":806.4,"endTime":809.31,"body":"You can. Well, before you"},{"speaker":"Pam","startTime":806.4,"endTime":809.31,"body":"do. So, it's a strategy. It"},{"speaker":"Pam","startTime":809.31,"endTime":810.15,"body":"makes sense."},{"speaker":"Kim","startTime":810.3,"endTime":810.48,"body":"Yeah."},{"speaker":"Pam","startTime":810.48,"endTime":813.15,"body":"We can understand why"},{"speaker":"Pam","startTime":810.48,"endTime":813.15,"body":"students would use it. It works."},{"speaker":"Kim","startTime":813.15,"endTime":813.21,"body":"Yeah."},{"speaker":"Pam","startTime":813.24,"endTime":815.4,"body":"It's mathematically"},{"speaker":"Pam","startTime":813.24,"endTime":815.4,"body":"coherent."},{"speaker":"Kim","startTime":815.94,"endTime":815.97,"body":"Mmhmm."},{"speaker":"Pam","startTime":816.18,"endTime":818.94,"body":"Okay, when you say, \"Can I"},{"speaker":"Pam","startTime":816.18,"endTime":818.94,"body":"tell you what you think?\" Can"},{"speaker":"Pam","startTime":818.94,"endTime":822.0,"body":"you tell us what you think?"},{"speaker":"Pam","startTime":818.94,"endTime":822.0,"body":"Finish your sentence?"},{"speaker":"Kim","startTime":822.09,"endTime":823.56,"body":"I don't think it's a major"},{"speaker":"Kim","startTime":822.09,"endTime":823.56,"body":"one."},{"speaker":"Pam","startTime":823.95,"endTime":825.84,"body":"Yeah. So, could that."},{"speaker":"Pam","startTime":823.95,"endTime":825.84,"body":"Because that's the question,"},{"speaker":"Pam","startTime":825.84,"endTime":826.23,"body":"right?"},{"speaker":"Kim","startTime":826.26,"endTime":826.83,"body":"Yeah."},{"speaker":"Pam","startTime":826.86,"endTime":829.44,"body":"The question is. In fact,"},{"speaker":"Pam","startTime":826.86,"endTime":829.44,"body":"I'm going to keep reading what"},{"speaker":"Pam","startTime":829.71,"endTime":832.41,"body":"Amanda said. She said, \"I"},{"speaker":"Pam","startTime":829.71,"endTime":832.41,"body":"realized that in a philosophical"},{"speaker":"Pam","startTime":832.41,"endTime":835.8,"body":"sense, there are infinite"},{"speaker":"Pam","startTime":832.41,"endTime":835.8,"body":"strategies. But in a real,"},{"speaker":"Pam","startTime":835.8,"endTime":839.64,"body":"everyday in the classroom, kind"},{"speaker":"Pam","startTime":835.8,"endTime":839.64,"body":"of sense, there's a shortlist of"},{"speaker":"Pam","startTime":839.64,"endTime":844.71,"body":"strategies that truly both build"},{"speaker":"Pam","startTime":839.64,"endTime":844.71,"body":"and exemplify numeracy.\" And"},{"speaker":"Pam","startTime":844.71,"endTime":846.66,"body":"then, she gives an example."},{"speaker":"Pam","startTime":844.71,"endTime":846.66,"body":"\"It's just like reading and"},{"speaker":"Pam","startTime":846.66,"endTime":849.33,"body":"writing. By reading and writing,"},{"speaker":"Pam","startTime":846.66,"endTime":849.33,"body":"we are both building and"},{"speaker":"Pam","startTime":849.33,"endTime":853.77,"body":"exemplifying literacy. I think"},{"speaker":"Pam","startTime":849.33,"endTime":853.77,"body":"these...\" Still, Amanda. \"I"},{"speaker":"Pam","startTime":853.77,"endTime":856.74,"body":"think these shortlists can be"},{"speaker":"Pam","startTime":853.77,"endTime":856.74,"body":"game changers for elementary"},{"speaker":"Pam","startTime":856.74,"endTime":859.8,"body":"teachers who feel overwhelmed"},{"speaker":"Pam","startTime":856.74,"endTime":859.8,"body":"and who don't strongly identify"},{"speaker":"Pam","startTime":859.83,"endTime":863.67,"body":"as mathematicians themselves."},{"speaker":"Pam","startTime":859.83,"endTime":863.67,"body":"But that said, I think the take"},{"speaker":"Pam","startTime":863.67,"endTime":867.09,"body":"from 10 strategy belongs on"},{"speaker":"Pam","startTime":863.67,"endTime":867.09,"body":"[your] list. I'm very curious to"},{"speaker":"Pam","startTime":867.09,"endTime":869.64,"body":"hear...\" Well, she said \"that"},{"speaker":"Pam","startTime":867.09,"endTime":869.64,"body":"list\". I'm saying \"my list\""},{"speaker":"Pam","startTime":869.64,"endTime":870.0,"body":"because I'm."},{"speaker":"Kim","startTime":870.03,"endTime":870.27,"body":"Yeah."},{"speaker":"Pam","startTime":870.48,"endTime":873.72,"body":"Because it's me. \"I'm very"},{"speaker":"Pam","startTime":870.48,"endTime":873.72,"body":"curious to hear what you and Kim"},{"speaker":"Pam","startTime":873.72,"endTime":876.48,"body":"think.\" Alright. So, Kim, what"},{"speaker":"Pam","startTime":873.72,"endTime":876.48,"body":"you're saying is you're not"},{"speaker":"Pam","startTime":876.48,"endTime":880.2,"body":"clear. Or maybe you're saying"},{"speaker":"Pam","startTime":876.48,"endTime":880.2,"body":"no, that strategy does not"},{"speaker":"Pam","startTime":880.2,"endTime":883.65,"body":"belong. So, respectfully,"},{"speaker":"Pam","startTime":880.2,"endTime":883.65,"body":"Amanda, Kim is saying no,"},{"speaker":"Pam","startTime":883.71,"endTime":885.39,"body":"doesn't belong in a shortlist."},{"speaker":"Kim","startTime":885.84,"endTime":889.11,"body":"Well, and I don't know that"},{"speaker":"Kim","startTime":885.84,"endTime":889.11,"body":"I have a lot of reasons why"},{"speaker":"Kim","startTime":889.14,"endTime":895.89,"body":"other than I have completely"},{"speaker":"Kim","startTime":889.14,"endTime":895.89,"body":"abandoned that strategy. So,"},{"speaker":"Kim","startTime":895.89,"endTime":899.85,"body":"there's a ping for me that as"},{"speaker":"Kim","startTime":895.89,"endTime":899.85,"body":"I've sharpened other really"},{"speaker":"Kim","startTime":899.85,"endTime":903.51,"body":"important strategies, that's"},{"speaker":"Kim","startTime":899.85,"endTime":903.51,"body":"never one that I went back to."},{"speaker":"Kim","startTime":904.23,"endTime":908.97,"body":"And I feel like if there were a"},{"speaker":"Kim","startTime":904.23,"endTime":908.97,"body":"strong need for it in using"},{"speaker":"Kim","startTime":908.97,"endTime":912.93,"body":"other strategies, then I would"},{"speaker":"Kim","startTime":908.97,"endTime":912.93,"body":"continue to come back to that as"},{"speaker":"Kim","startTime":912.93,"endTime":917.16,"body":"something that I have like"},{"speaker":"Kim","startTime":912.93,"endTime":917.16,"body":"there's a need for it. And even"},{"speaker":"Kim","startTime":917.16,"endTime":920.16,"body":"though I love combinations of"},{"speaker":"Kim","startTime":917.16,"endTime":920.16,"body":"100, combinations of 1,000,"},{"speaker":"Kim","startTime":920.37,"endTime":924.72,"body":"combinations of 10, I've"},{"speaker":"Kim","startTime":920.37,"endTime":924.72,"body":"abandoned it. It seems like a"},{"speaker":"Kim","startTime":924.72,"endTime":928.62,"body":"pretty... It seems less"},{"speaker":"Kim","startTime":924.72,"endTime":928.62,"body":"sophisticated than other"},{"speaker":"Kim","startTime":928.62,"endTime":931.38,"body":"strategies that I would want to"},{"speaker":"Kim","startTime":928.62,"endTime":931.38,"body":"motivate students to make use"},{"speaker":"Kim","startTime":931.38,"endTime":931.65,"body":"of."},{"speaker":"Pam","startTime":932.76,"endTime":935.76,"body":"So, I'd like to dive in on"},{"speaker":"Pam","startTime":932.76,"endTime":935.76,"body":"that comment that, \"it seems"},{"speaker":"Pam","startTime":935.76,"endTime":939.48,"body":"less sophisticated,\" and agree"},{"speaker":"Pam","startTime":935.76,"endTime":939.48,"body":"with you that. Sorry, Amanda,"},{"speaker":"Pam","startTime":939.48,"endTime":942.66,"body":"I'm also going to suggest that"},{"speaker":"Pam","startTime":939.48,"endTime":942.66,"body":"it's not going to go on the"},{"speaker":"Pam","startTime":942.66,"endTime":947.43,"body":"major shortlist. But let's be"},{"speaker":"Pam","startTime":942.66,"endTime":947.43,"body":"really clear that it probably is"},{"speaker":"Pam","startTime":947.46,"endTime":951.48,"body":"on a shortlist of strategies"},{"speaker":"Pam","startTime":947.46,"endTime":951.48,"body":"that students will create"},{"speaker":"Pam","startTime":951.48,"endTime":952.35,"body":"themselves."},{"speaker":"Kim","startTime":952.38,"endTime":952.71,"body":"Yeah."},{"speaker":"Pam","startTime":953.28,"endTime":956.7,"body":"So, it is a fairly."},{"speaker":"Pam","startTime":953.28,"endTime":956.7,"body":"Especially if you're working"},{"speaker":"Pam","startTime":956.7,"endTime":960.12,"body":"with I Have, You need, which is"},{"speaker":"Pam","startTime":956.7,"endTime":960.12,"body":"our wonderful routine that helps"},{"speaker":"Pam","startTime":960.12,"endTime":963.75,"body":"develop partners of 10, partners"},{"speaker":"Pam","startTime":960.12,"endTime":963.75,"body":"of 100. If you're working to"},{"speaker":"Pam","startTime":963.75,"endTime":967.29,"body":"develop partners of 10, students"},{"speaker":"Pam","startTime":963.75,"endTime":967.29,"body":"are going to recognize those"},{"speaker":"Pam","startTime":967.29,"endTime":971.25,"body":"partners of 10, and they very"},{"speaker":"Pam","startTime":967.29,"endTime":971.25,"body":"well might use your take from 10"},{"speaker":"Pam","startTime":971.25,"endTime":971.79,"body":"strategy."},{"speaker":"Kim","startTime":971.79,"endTime":971.88,"body":"Yep."},{"speaker":"Pam","startTime":972.75,"endTime":975.81,"body":"In fact, I wonder if."},{"speaker":"Pam","startTime":972.75,"endTime":975.81,"body":"Ya'll, if you've been listening"},{"speaker":"Pam","startTime":975.81,"endTime":978.63,"body":"to the podcast for very long or"},{"speaker":"Pam","startTime":975.81,"endTime":978.63,"body":"any of the workshops that we"},{"speaker":"Pam","startTime":978.63,"endTime":982.29,"body":"that we have, I often tell the"},{"speaker":"Pam","startTime":978.63,"endTime":982.29,"body":"story about my oldest son when"},{"speaker":"Pam","startTime":982.29,"endTime":984.81,"body":"he came home from first grade"},{"speaker":"Pam","startTime":982.29,"endTime":984.81,"body":"with subtraction with"},{"speaker":"Pam","startTime":984.81,"endTime":987.57,"body":"regrouping, and he used a"},{"speaker":"Pam","startTime":984.81,"endTime":987.57,"body":"strategy that he made up on his"},{"speaker":"Pam","startTime":987.57,"endTime":992.37,"body":"own to solve problems. And I"},{"speaker":"Pam","startTime":987.57,"endTime":992.37,"body":"can't. I always usually say."},{"speaker":"Pam","startTime":992.4,"endTime":993.9,"body":"When I tell this story, I'm"},{"speaker":"Pam","startTime":992.4,"endTime":993.9,"body":"like, \"I don't really remember"},{"speaker":"Pam","startTime":993.9,"endTime":996.0,"body":"what he did that year.\" But"},{"speaker":"Pam","startTime":993.9,"endTime":996.0,"body":"then, I will tell you what he"},{"speaker":"Pam","startTime":996.0,"endTime":999.03,"body":"did the second year because I"},{"speaker":"Pam","startTime":996.0,"endTime":999.03,"body":"remember that one better. But"},{"speaker":"Pam","startTime":999.03,"endTime":1002.99,"body":"when I saw this email. Amanda,"},{"speaker":"Pam","startTime":999.03,"endTime":1002.99,"body":"thanks for the ping. I think"},{"speaker":"Pam","startTime":1002.99,"endTime":1006.71,"body":"this is the one he developed the"},{"speaker":"Pam","startTime":1002.99,"endTime":1006.71,"body":"first year. I think when he had"},{"speaker":"Pam","startTime":1006.71,"endTime":1010.31,"body":"a problem like, I don't know,"},{"speaker":"Pam","startTime":1006.71,"endTime":1010.31,"body":"something like 39 minus 14. No,"},{"speaker":"Pam","startTime":1010.31,"endTime":1013.49,"body":"that's not 34 minus 19 isn't one"},{"speaker":"Pam","startTime":1010.31,"endTime":1013.49,"body":"I usually use. So, if you think"},{"speaker":"Pam","startTime":1013.49,"endTime":1019.1,"body":"about 34, minus 19. Instead of"},{"speaker":"Pam","startTime":1013.49,"endTime":1019.1,"body":"carrying or regrouping to make"},{"speaker":"Pam","startTime":1019.1,"endTime":1025.52,"body":"it 14 minus 9, I think he"},{"speaker":"Pam","startTime":1019.1,"endTime":1025.52,"body":"thought about 10 minus 9, and"},{"speaker":"Pam","startTime":1025.52,"endTime":1029.9,"body":"then added of the 4. So, he"},{"speaker":"Pam","startTime":1025.52,"endTime":1029.9,"body":"still brought the 10 over, but"},{"speaker":"Pam","startTime":1029.9,"endTime":1032.75,"body":"he didn't add it to the 4. He's"},{"speaker":"Pam","startTime":1029.9,"endTime":1032.75,"body":"like, \"I'm going to grab this 10"},{"speaker":"Pam","startTime":1032.78,"endTime":1035.84,"body":"over there from the 30, and I'm"},{"speaker":"Pam","startTime":1032.78,"endTime":1035.84,"body":"going to subtract whatever I"},{"speaker":"Pam","startTime":1035.84,"endTime":1038.42,"body":"need to subtract the 9. But"},{"speaker":"Pam","startTime":1035.84,"endTime":1038.42,"body":"then, I have that 4 over there"},{"speaker":"Pam","startTime":1038.42,"endTime":1040.58,"body":"that I ignored. And so, I'm"},{"speaker":"Pam","startTime":1038.42,"endTime":1040.58,"body":"going to tack that back on.\""},{"speaker":"Pam","startTime":1040.61,"endTime":1043.88,"body":"That to me, that feels very"},{"speaker":"Pam","startTime":1040.61,"endTime":1043.88,"body":"connected. Would you agree, Kim?"},{"speaker":"Pam","startTime":1043.91,"endTime":1044.39,"body":"Those are connected?"},{"speaker":"Kim","startTime":1044.39,"endTime":1044.6,"body":"Yeah."},{"speaker":"Kim","startTime":1044.599,"endTime":1047.299,"body":"And I'm thinking. I wonder"},{"speaker":"Kim","startTime":1044.599,"endTime":1047.299,"body":"because I didn't have a lot of"},{"speaker":"Kim","startTime":1047.299,"endTime":1051.439,"body":"instruction in my young years"},{"speaker":"Kim","startTime":1047.299,"endTime":1051.439,"body":"about strategies and numeracy"},{"speaker":"Kim","startTime":1051.439,"endTime":1054.529,"body":"and. You know, it was very"},{"speaker":"Kim","startTime":1051.439,"endTime":1054.529,"body":"traditional upbringing. I wonder"},{"speaker":"Kim","startTime":1054.529,"endTime":1057.919,"body":"if that was my similar story."},{"speaker":"Kim","startTime":1054.529,"endTime":1057.919,"body":"That I kind of tinkered with"},{"speaker":"Kim","startTime":1057.919,"endTime":1061.909,"body":"numbers and made that up, which"},{"speaker":"Kim","startTime":1057.919,"endTime":1061.909,"body":"is why I recognize, you know,"},{"speaker":"Kim","startTime":1061.909,"endTime":1062.989,"body":"when you first mentioned it."},{"speaker":"Pam","startTime":1063.17,"endTime":1066.41,"body":"Well, and it makes sense to"},{"speaker":"Pam","startTime":1063.17,"endTime":1066.41,"body":"me that as teachers are saying"},{"speaker":"Pam","startTime":1066.41,"endTime":1069.23,"body":"things like, \"Bring this 10 over"},{"speaker":"Pam","startTime":1066.41,"endTime":1069.23,"body":"here. Grab that 10 from over"},{"speaker":"Pam","startTime":1069.23,"endTime":1071.81,"body":"there. There's this 10 floating"},{"speaker":"Pam","startTime":1069.23,"endTime":1071.81,"body":"around when you're discussing"},{"speaker":"Pam","startTime":1071.81,"endTime":1075.05,"body":"regrouping or borrowing.\" That"},{"speaker":"Pam","startTime":1071.81,"endTime":1075.05,"body":"kids that are thinking about"},{"speaker":"Pam","startTime":1075.05,"endTime":1077.21,"body":"relationships might go, \"Well,"},{"speaker":"Pam","startTime":1075.05,"endTime":1077.21,"body":"then I'm just going to deal with"},{"speaker":"Pam","startTime":1077.21,"endTime":1079.82,"body":"that 10. I'm not going to tack"},{"speaker":"Pam","startTime":1077.21,"endTime":1079.82,"body":"it on to whatever it is. I'm"},{"speaker":"Pam","startTime":1079.82,"endTime":1082.31,"body":"just going to deal with that."},{"speaker":"Pam","startTime":1079.82,"endTime":1082.31,"body":"Subtract that. I got that 10"},{"speaker":"Pam","startTime":1082.31,"endTime":1085.19,"body":"There. Oh, but then I did have"},{"speaker":"Pam","startTime":1082.31,"endTime":1085.19,"body":"that number, and I'm going to"},{"speaker":"Pam","startTime":1085.19,"endTime":1088.85,"body":"deal with it later.\" So, Amanda,"},{"speaker":"Pam","startTime":1085.19,"endTime":1088.85,"body":"I think I would completely agree"},{"speaker":"Pam","startTime":1088.85,"endTime":1092.18,"body":"that this is on the shortlist,"},{"speaker":"Pam","startTime":1088.85,"endTime":1092.18,"body":"the strategies that students"},{"speaker":"Pam","startTime":1092.18,"endTime":1095.75,"body":"might develop themselves, that"},{"speaker":"Pam","startTime":1092.18,"endTime":1095.75,"body":"we could support and help"},{"speaker":"Pam","startTime":1095.75,"endTime":1099.08,"body":"students reason through as they"},{"speaker":"Pam","startTime":1095.75,"endTime":1099.08,"body":"are sort of developing their"},{"speaker":"Pam","startTime":1099.08,"endTime":1104.69,"body":"numeracy. However, I'm not going"},{"speaker":"Pam","startTime":1099.08,"endTime":1104.69,"body":"to put it on the list of"},{"speaker":"Pam","startTime":1104.69,"endTime":1108.53,"body":"important strategies that I want"},{"speaker":"Pam","startTime":1104.69,"endTime":1108.53,"body":"all students to develop. That's"},{"speaker":"Pam","startTime":1108.53,"endTime":1112.85,"body":"a different list. The list that"},{"speaker":"Pam","startTime":1108.53,"endTime":1112.85,"body":"we want all students to develop"},{"speaker":"Pam","startTime":1112.91,"endTime":1115.73,"body":"is a very specific list, kind of"},{"speaker":"Pam","startTime":1112.91,"endTime":1115.73,"body":"like you said where we're really"},{"speaker":"Pam","startTime":1115.73,"endTime":1120.83,"body":"trying to encourage kids to"},{"speaker":"Pam","startTime":1115.73,"endTime":1120.83,"body":"become numerate. That list needs"},{"speaker":"Pam","startTime":1120.83,"endTime":1125.45,"body":"to be the list that kids should"},{"speaker":"Pam","startTime":1120.83,"endTime":1125.45,"body":"learn. I'm trying not to say"},{"speaker":"Pam","startTime":1125.48,"endTime":1128.84,"body":"\"have to learn\". But in order"},{"speaker":"Pam","startTime":1125.48,"endTime":1128.84,"body":"for them to be really fluent,"},{"speaker":"Pam","startTime":1129.17,"endTime":1132.05,"body":"there is a shortlist of"},{"speaker":"Pam","startTime":1129.17,"endTime":1132.05,"body":"strategies that we want students"},{"speaker":"Pam","startTime":1132.08,"endTime":1135.74,"body":"to think about, to own. We want"},{"speaker":"Pam","startTime":1132.08,"endTime":1135.74,"body":"them to own the relationship, so"},{"speaker":"Pam","startTime":1135.74,"endTime":1138.8,"body":"the strategy becomes a natural"},{"speaker":"Pam","startTime":1135.74,"endTime":1138.8,"body":"outcome. Let me say that again."},{"speaker":"Pam","startTime":1139.16,"endTime":1141.77,"body":"It's not about memorizing these"},{"speaker":"Pam","startTime":1139.16,"endTime":1141.77,"body":"strategies. It's about"},{"speaker":"Pam","startTime":1141.77,"endTime":1145.7,"body":"developing mental mathematical"},{"speaker":"Pam","startTime":1141.77,"endTime":1145.7,"body":"relationships, developing these"},{"speaker":"Pam","startTime":1145.7,"endTime":1149.3,"body":"connections between numbers, so"},{"speaker":"Pam","startTime":1145.7,"endTime":1149.3,"body":"that certain strategies become"},{"speaker":"Pam","startTime":1149.3,"endTime":1152.18,"body":"natural outcomes, so they become"},{"speaker":"Pam","startTime":1149.3,"endTime":1152.18,"body":"sort of natural things to do for"},{"speaker":"Pam","startTime":1152.18,"endTime":1158.24,"body":"kids. That shortlist doesn't"},{"speaker":"Pam","startTime":1152.18,"endTime":1158.24,"body":"need this take from 10 strategy."},{"speaker":"Pam","startTime":1158.99,"endTime":1162.29,"body":"Let me tell you one reason why."},{"speaker":"Pam","startTime":1158.99,"endTime":1162.29,"body":"Kim kind of suggested that it"},{"speaker":"Pam","startTime":1162.29,"endTime":1164.99,"body":"was a little bit less"},{"speaker":"Pam","startTime":1162.29,"endTime":1164.99,"body":"sophisticated. Let me support"},{"speaker":"Pam","startTime":1164.99,"endTime":1170.18,"body":"that. It is very much like all"},{"speaker":"Pam","startTime":1164.99,"endTime":1170.18,"body":"of the least sophisticated"},{"speaker":"Pam","startTime":1170.18,"endTime":1173.84,"body":"strategies that are in that"},{"speaker":"Pam","startTime":1170.18,"endTime":1173.84,"body":"booklet that are listed first."},{"speaker":"Pam","startTime":1173.87,"endTime":1176.3,"body":"So, if you go look at the"},{"speaker":"Pam","startTime":1173.87,"endTime":1176.3,"body":"addition, major addition"},{"speaker":"Pam","startTime":1176.3,"endTime":1179.21,"body":"strategies for multi-digit,"},{"speaker":"Pam","startTime":1176.3,"endTime":1179.21,"body":"major subtraction strategies for"},{"speaker":"Pam","startTime":1179.21,"endTime":1183.23,"body":"multi-digit, the very first"},{"speaker":"Pam","startTime":1179.21,"endTime":1183.23,"body":"strategy often that's listed is"},{"speaker":"Pam","startTime":1183.23,"endTime":1187.61,"body":"a partial strategy. Partial"},{"speaker":"Pam","startTime":1183.23,"endTime":1187.61,"body":"sums, partial products, maybe"},{"speaker":"Pam","startTime":1187.61,"endTime":1191.36,"body":"partial differences. We don't"},{"speaker":"Pam","startTime":1187.61,"endTime":1191.36,"body":"really suggest partial, sorry,"},{"speaker":"Pam","startTime":1191.39,"endTime":1193.76,"body":"partial differences with the one"},{"speaker":"Pam","startTime":1191.39,"endTime":1193.76,"body":"we don't usually suggest."},{"speaker":"Pam","startTime":1193.76,"endTime":1197.84,"body":"Partial quotients might be one."},{"speaker":"Pam","startTime":1193.76,"endTime":1197.84,"body":"Partials is the first kind of"},{"speaker":"Pam","startTime":1197.84,"endTime":1204.71,"body":"bedrock, kind of begining, less"},{"speaker":"Pam","startTime":1197.84,"endTime":1204.71,"body":"sophisticated strategy. And it's"},{"speaker":"Pam","startTime":1204.71,"endTime":1206.69,"body":"the one that we're going to"},{"speaker":"Pam","startTime":1204.71,"endTime":1206.69,"body":"emphasize the least. We're going"},{"speaker":"Pam","startTime":1206.69,"endTime":1210.8,"body":"to do a little bit with it, and"},{"speaker":"Pam","startTime":1206.69,"endTime":1210.8,"body":"move on. Kids soon as we're"},{"speaker":"Pam","startTime":1210.8,"endTime":1214.01,"body":"working with multiplication of"},{"speaker":"Pam","startTime":1210.8,"endTime":1214.01,"body":"multi-digit numbers, we're"},{"speaker":"Pam","startTime":1214.01,"endTime":1217.4,"body":"thinking smart partial products."},{"speaker":"Pam","startTime":1214.01,"endTime":1217.4,"body":"We're not taking all the numbers"},{"speaker":"Pam","startTime":1217.4,"endTime":1219.92,"body":"and. Now, we do a little bit of"},{"speaker":"Pam","startTime":1217.4,"endTime":1219.92,"body":"it, where we split it into place"},{"speaker":"Pam","startTime":1219.92,"endTime":1221.84,"body":"value, so kids are really"},{"speaker":"Pam","startTime":1219.92,"endTime":1221.84,"body":"thinking about the place values"},{"speaker":"Pam","startTime":1221.84,"endTime":1225.83,"body":"involved. But this feels like,"},{"speaker":"Pam","startTime":1221.84,"endTime":1225.83,"body":"\"Let me split the number up by"},{"speaker":"Pam","startTime":1225.83,"endTime":1229.73,"body":"place value.\" So, for example."},{"speaker":"Pam","startTime":1225.83,"endTime":1229.73,"body":"I'm not looking at the email"},{"speaker":"Pam","startTime":1229.73,"endTime":1232.13,"body":"anymore. Let me go back to the"},{"speaker":"Pam","startTime":1229.73,"endTime":1232.13,"body":"email. So, for example, the 17"},{"speaker":"Pam","startTime":1232.13,"endTime":1236.03,"body":"minus 9. You're splitting the 17"},{"speaker":"Pam","startTime":1232.13,"endTime":1236.03,"body":"into 10 and 7. That's a very"},{"speaker":"Pam","startTime":1236.12,"endTime":1240.2,"body":"splitting by place value, very"},{"speaker":"Pam","startTime":1236.12,"endTime":1240.2,"body":"partial kind of an idea. Dealing"},{"speaker":"Pam","startTime":1240.2,"endTime":1245.42,"body":"with the 10, and then tacking"},{"speaker":"Pam","startTime":1240.2,"endTime":1245.42,"body":"back on the 7. So A, that"},{"speaker":"Pam","startTime":1245.45,"endTime":1248.42,"body":"substantiates the fact that it's"},{"speaker":"Pam","startTime":1245.45,"endTime":1248.42,"body":"kind of a beginning strategy."},{"speaker":"Pam","startTime":1248.51,"endTime":1254.42,"body":"But B, it also. If I get kids"},{"speaker":"Pam","startTime":1248.51,"endTime":1254.42,"body":"that are only doing that, kids"},{"speaker":"Pam","startTime":1254.45,"endTime":1260.54,"body":"only ever deal with 10 minus a"},{"speaker":"Pam","startTime":1254.45,"endTime":1260.54,"body":"single digit. They don't ever"},{"speaker":"Pam","startTime":1260.6,"endTime":1265.94,"body":"grapple with 17 minus 9. They"},{"speaker":"Pam","startTime":1260.6,"endTime":1265.94,"body":"kick out the 7, deal with the 10"},{"speaker":"Pam","startTime":1265.94,"endTime":1269.18,"body":"minus 9, and then kick back the"},{"speaker":"Pam","startTime":1265.94,"endTime":1269.18,"body":"7. Well, I'm not going to tell"},{"speaker":"Pam","startTime":1269.18,"endTime":1272.87,"body":"students not to do it. I'm not"},{"speaker":"Pam","startTime":1269.18,"endTime":1272.87,"body":"going to actively try to create"},{"speaker":"Pam","startTime":1272.87,"endTime":1276.17,"body":"it in all students because I"},{"speaker":"Pam","startTime":1272.87,"endTime":1276.17,"body":"don't want students to stay"},{"speaker":"Pam","startTime":1276.17,"endTime":1281.69,"body":"there. I want students to think"},{"speaker":"Pam","startTime":1276.17,"endTime":1281.69,"body":"about 17 minus 9, and \"What does"},{"speaker":"Pam","startTime":1281.69,"endTime":1284.99,"body":"it look like? How can I think"},{"speaker":"Pam","startTime":1281.69,"endTime":1284.99,"body":"about that? And what are"},{"speaker":"Pam","startTime":1284.99,"endTime":1289.55,"body":"friendly numbers near there? Can"},{"speaker":"Pam","startTime":1284.99,"endTime":1289.55,"body":"I subtract 7 to get to 10? And"},{"speaker":"Pam","startTime":1289.55,"endTime":1291.83,"body":"then, what do I have left to"},{"speaker":"Pam","startTime":1289.55,"endTime":1291.83,"body":"subtract? Can I subtract too"},{"speaker":"Pam","startTime":1291.83,"endTime":1296.3,"body":"much? Subtract 10? And then, how"},{"speaker":"Pam","startTime":1291.83,"endTime":1296.3,"body":"would I need to adjust?\" So, we"},{"speaker":"Pam","startTime":1296.3,"endTime":1301.13,"body":"really want to develop the major"},{"speaker":"Pam","startTime":1296.3,"endTime":1301.13,"body":"relationships like subtract to a"},{"speaker":"Pam","startTime":1301.13,"endTime":1305.0,"body":"friendly number or subtract a"},{"speaker":"Pam","startTime":1301.13,"endTime":1305.0,"body":"friendly number. Those will"},{"speaker":"Pam","startTime":1305.0,"endTime":1310.52,"body":"carry students further in both"},{"speaker":"Pam","startTime":1305.0,"endTime":1310.52,"body":"single digit relationships and"},{"speaker":"Pam","startTime":1310.52,"endTime":1313.43,"body":"in the multi digit"},{"speaker":"Pam","startTime":1310.52,"endTime":1313.43,"body":"relationships. We need those to"},{"speaker":"Pam","startTime":1313.43,"endTime":1317.93,"body":"continue on. So, either getting"},{"speaker":"Pam","startTime":1313.43,"endTime":1317.93,"body":"to a friendly number or"},{"speaker":"Pam","startTime":1318.08,"endTime":1323.0,"body":"subtracting a friendly number."},{"speaker":"Pam","startTime":1318.08,"endTime":1323.0,"body":"Either one of those are more"},{"speaker":"Pam","startTime":1323.0,"endTime":1323.63,"body":"important."},{"speaker":"Kim","startTime":1323.63,"endTime":1323.69,"body":"Yeah."},{"speaker":"Pam","startTime":1324.26,"endTime":1326.18,"body":"So, I hope that kind of"},{"speaker":"Pam","startTime":1324.26,"endTime":1326.18,"body":"clarifies. Kim, what do you want"},{"speaker":"Pam","startTime":1326.18,"endTime":1326.45,"body":"to add to that?"},{"speaker":"Kim","startTime":1326.45,"endTime":1326.57,"body":"Yeah, I"},{"speaker":"Kim","startTime":1326.57,"endTime":1328.88,"body":"was just going to say, I"},{"speaker":"Kim","startTime":1326.57,"endTime":1328.88,"body":"appreciate your second point"},{"speaker":"Kim","startTime":1328.88,"endTime":1332.45,"body":"that they deal and grapple with"},{"speaker":"Kim","startTime":1328.88,"endTime":1332.45,"body":"bigger and bigger numbers, which"},{"speaker":"Kim","startTime":1332.45,"endTime":1334.13,"body":"is something that we (unclear)."},{"speaker":"Pam","startTime":1334.13,"endTime":1335.15,"body":"Need them to do."},{"speaker":"Kim","startTime":1335.18,"endTime":1336.38,"body":"Experience doing, right?"},{"speaker":"Kim","startTime":1335.18,"endTime":1336.38,"body":"Yeah,"},{"speaker":"Pam","startTime":1336.38,"endTime":1337.22,"body":"Yeah, exactly."},{"speaker":"Kim","startTime":1337.22,"endTime":1337.43,"body":"Yeah."},{"speaker":"Pam","startTime":1337.43,"endTime":1340.61,"body":"Exactly, yeah. One other"},{"speaker":"Pam","startTime":1337.43,"endTime":1340.61,"body":"just small thing that I'll"},{"speaker":"Pam","startTime":1340.61,"endTime":1345.62,"body":"mention is, this to me is"},{"speaker":"Pam","startTime":1340.61,"endTime":1345.62,"body":"similar to where CGI."},{"speaker":"Pam","startTime":1345.62,"endTime":1349.31,"body":"Cognitively Guided Instruction."},{"speaker":"Pam","startTime":1345.62,"endTime":1349.31,"body":"Wonderful resource. I'm so super"},{"speaker":"Pam","startTime":1349.31,"endTime":1352.94,"body":"glad that they did it. And we've"},{"speaker":"Pam","startTime":1349.31,"endTime":1352.94,"body":"learned a ton from it. But"},{"speaker":"Pam","startTime":1352.94,"endTime":1356.3,"body":"sometimes people can get lost in"},{"speaker":"Pam","startTime":1352.94,"endTime":1356.3,"body":"the weeds a little bit as they"},{"speaker":"Pam","startTime":1356.51,"endTime":1361.22,"body":"dive into CGI research, where"},{"speaker":"Pam","startTime":1356.51,"endTime":1361.22,"body":"they'll really start to think"},{"speaker":"Pam","startTime":1361.22,"endTime":1365.21,"body":"about, \"Okay, sometimes kids...\""},{"speaker":"Pam","startTime":1361.22,"endTime":1365.21,"body":"And basically CGI did a great"},{"speaker":"Pam","startTime":1365.21,"endTime":1369.44,"body":"job of identifying things. Like"},{"speaker":"Pam","startTime":1365.21,"endTime":1369.44,"body":"when I'm subtracting. So, say"},{"speaker":"Pam","startTime":1369.44,"endTime":1373.46,"body":"that 17 minus 9. Sometimes kids"},{"speaker":"Pam","startTime":1369.44,"endTime":1373.46,"body":"will go, \"17...\" and put up a"},{"speaker":"Pam","startTime":1373.46,"endTime":1376.91,"body":"finger.\" 16...\" and put up a"},{"speaker":"Pam","startTime":1373.46,"endTime":1376.91,"body":"finger, and then continue to put"},{"speaker":"Pam","startTime":1376.91,"endTime":1381.77,"body":"fingers until they put up 9. And"},{"speaker":"Pam","startTime":1376.91,"endTime":1381.77,"body":"then, what's the answer? Versus"},{"speaker":"Pam","startTime":1381.77,"endTime":1386.72,"body":"a kid that goes 17, and then"},{"speaker":"Pam","startTime":1381.77,"endTime":1386.72,"body":"starts to count. \"16, 15, 14...\""},{"speaker":"Pam","startTime":1386.87,"endTime":1389.99,"body":"And so, they don't count the 17."},{"speaker":"Pam","startTime":1386.87,"endTime":1389.99,"body":"They count sort of where. And"},{"speaker":"Pam","startTime":1389.99,"endTime":1392.78,"body":"then the answer's different. One"},{"speaker":"Pam","startTime":1389.99,"endTime":1392.78,"body":"way the answer is where you"},{"speaker":"Pam","startTime":1392.78,"endTime":1395.75,"body":"land, the other way is the"},{"speaker":"Pam","startTime":1392.78,"endTime":1395.75,"body":"answer. And, ya'll, I'm not even"},{"speaker":"Pam","startTime":1395.75,"endTime":1398.42,"body":"going to be clear on which of"},{"speaker":"Pam","startTime":1395.75,"endTime":1398.42,"body":"those two. Did you notice how"},{"speaker":"Pam","startTime":1398.42,"endTime":1401.33,"body":"fuzzy I just left all that?"},{"speaker":"Pam","startTime":1398.42,"endTime":1401.33,"body":"Because I don't actually want"},{"speaker":"Pam","startTime":1401.33,"endTime":1406.76,"body":"you to be super clear about that"},{"speaker":"Pam","startTime":1401.33,"endTime":1406.76,"body":"because that's not our goal. Mmm"},{"speaker":"Pam","startTime":1406.76,"endTime":1410.03,"body":"I'm not saying this well. Our"},{"speaker":"Pam","startTime":1406.76,"endTime":1410.03,"body":"goal isn't to help students get"},{"speaker":"Pam","startTime":1410.03,"endTime":1414.74,"body":"better at those two strategies."},{"speaker":"Pam","startTime":1410.03,"endTime":1414.74,"body":"Once kids can count, and they"},{"speaker":"Pam","startTime":1414.74,"endTime":1418.88,"body":"realize they should be removing,"},{"speaker":"Pam","startTime":1414.74,"endTime":1418.88,"body":"we don't want them removing one"},{"speaker":"Pam","startTime":1418.88,"endTime":1422.93,"body":"by one. We want to help them"},{"speaker":"Pam","startTime":1418.88,"endTime":1422.93,"body":"remove bigger chunks. So, we"},{"speaker":"Pam","startTime":1422.93,"endTime":1424.97,"body":"want to move to these"},{"speaker":"Pam","startTime":1422.93,"endTime":1424.97,"body":"relationships that we were just"},{"speaker":"Pam","startTime":1424.97,"endTime":1428.69,"body":"talking about. So, when I work"},{"speaker":"Pam","startTime":1424.97,"endTime":1428.69,"body":"with teachers and CGI research"},{"speaker":"Pam","startTime":1428.99,"endTime":1433.88,"body":"we just mention that is what"},{"speaker":"Pam","startTime":1428.99,"endTime":1433.88,"body":"they noticed that kids will do,"},{"speaker":"Pam","startTime":1434.24,"endTime":1436.94,"body":"but I don't dive into it and"},{"speaker":"Pam","startTime":1434.24,"endTime":1436.94,"body":"make a big deal of it because I"},{"speaker":"Pam","startTime":1436.94,"endTime":1440.66,"body":"don't want you to then go, \"Hey,"},{"speaker":"Pam","startTime":1436.94,"endTime":1440.66,"body":"everybody, you better learn this"},{"speaker":"Pam","startTime":1440.66,"endTime":1443.57,"body":"subtraction strategy. And now"},{"speaker":"Pam","startTime":1440.66,"endTime":1443.57,"body":"learn this...\" Not if we're"},{"speaker":"Pam","startTime":1443.57,"endTime":1447.26,"body":"counting by ones No, no. Like,"},{"speaker":"Pam","startTime":1443.57,"endTime":1447.26,"body":"we want to be moving to additive"},{"speaker":"Pam","startTime":1447.26,"endTime":1451.22,"body":"reasoning. So, part of our"},{"speaker":"Pam","startTime":1447.26,"endTime":1451.22,"body":"answer today, Amanda, is that"},{"speaker":"Pam","startTime":1451.25,"endTime":1455.12,"body":"all of the strategies that we're"},{"speaker":"Pam","startTime":1451.25,"endTime":1455.12,"body":"going to recommend as the major,"},{"speaker":"Pam","startTime":1455.12,"endTime":1458.75,"body":"the ones that we need to help"},{"speaker":"Pam","startTime":1455.12,"endTime":1458.75,"body":"students develop, are the ones"},{"speaker":"Pam","startTime":1458.75,"endTime":1461.09,"body":"that help students move forward."},{"speaker":"Kim","startTime":1461.27,"endTime":1461.48,"body":"Yeah."},{"speaker":"Pam","startTime":1461.48,"endTime":1464.0,"body":"Not... Yeah. There you go"},{"speaker":"Pam","startTime":1461.48,"endTime":1464.0,"body":"that's. Maybe I'll just leave it"},{"speaker":"Pam","startTime":1464.0,"endTime":1464.42,"body":"at that."},{"speaker":"Kim","startTime":1464.63,"endTime":1469.76,"body":"Yep. So, you and I both"},{"speaker":"Kim","startTime":1464.63,"endTime":1469.76,"body":"have other strategies that we"},{"speaker":"Kim","startTime":1469.76,"endTime":1473.33,"body":"like, right, other strategies"},{"speaker":"Kim","startTime":1469.76,"endTime":1473.33,"body":"that we find interesting, but."},{"speaker":"Kim","startTime":1474.05,"endTime":1477.62,"body":"And I'll just say that one of my"},{"speaker":"Kim","startTime":1474.05,"endTime":1477.62,"body":"favorites I find really"},{"speaker":"Kim","startTime":1477.62,"endTime":1481.46,"body":"interesting is the Swapping"},{"speaker":"Kim","startTime":1477.62,"endTime":1481.46,"body":"strategy for addition. I love"},{"speaker":"Kim","startTime":1481.46,"endTime":1486.14,"body":"it, but it's not one that I work"},{"speaker":"Kim","startTime":1481.46,"endTime":1486.14,"body":"with Problem Strings and a lot"},{"speaker":"Kim","startTime":1486.14,"endTime":1489.71,"body":"of intensive work with my"},{"speaker":"Kim","startTime":1486.14,"endTime":1489.71,"body":"students because we have a"},{"speaker":"Kim","startTime":1489.71,"endTime":1494.72,"body":"limited amount of time, right?"},{"speaker":"Kim","startTime":1489.71,"endTime":1494.72,"body":"It's not like we have 300 days"},{"speaker":"Kim","startTime":1494.72,"endTime":1499.22,"body":"every year with our kids. And"},{"speaker":"Kim","startTime":1494.72,"endTime":1499.22,"body":"so, given that we have very"},{"speaker":"Kim","startTime":1499.22,"endTime":1502.01,"body":"specifically outline ones that"},{"speaker":"Kim","startTime":1499.22,"endTime":1502.01,"body":"we know move math forward, we"},{"speaker":"Kim","startTime":1502.01,"endTime":1506.45,"body":"know are super important for"},{"speaker":"Kim","startTime":1502.01,"endTime":1506.45,"body":"kids to know. And that's why,"},{"speaker":"Kim","startTime":1506.57,"endTime":1509.66,"body":"you know, you took the time to"},{"speaker":"Kim","startTime":1506.57,"endTime":1509.66,"body":"outline them in this ebooklet"},{"speaker":"Kim","startTime":1509.69,"endTime":1512.66,"body":"that you have made available to"},{"speaker":"Kim","startTime":1509.69,"endTime":1512.66,"body":"everybody, so that they would"},{"speaker":"Kim","startTime":1512.66,"endTime":1514.85,"body":"know, \"Where should I spend my"},{"speaker":"Kim","startTime":1512.66,"endTime":1514.85,"body":"time?\""},{"speaker":"Kim","startTime":1514.94,"endTime":1517.49,"body":"Hey, you just made me think of"},{"speaker":"Kim","startTime":1514.94,"endTime":1517.49,"body":"something. So, Amanda, as you're"},{"speaker":"Kim","startTime":1517.49,"endTime":1521.42,"body":"working with teachers, I think"},{"speaker":"Kim","startTime":1517.49,"endTime":1521.42,"body":"it would be a fine thing to have"},{"speaker":"Kim","startTime":1521.42,"endTime":1524.63,"body":"them see some. In fact, Amanda,"},{"speaker":"Kim","startTime":1521.42,"endTime":1524.63,"body":"sent a couple videos of some"},{"speaker":"Kim","startTime":1524.63,"endTime":1527.39,"body":"students using the strategy."},{"speaker":"Kim","startTime":1524.63,"endTime":1527.39,"body":"Totally believe that kids do it."},{"speaker":"Kim","startTime":1528.29,"endTime":1530.99,"body":"I think you could absolutely use"},{"speaker":"Kim","startTime":1528.29,"endTime":1530.99,"body":"some of that to help teachers"},{"speaker":"Kim","startTime":1530.99,"endTime":1534.62,"body":"recognize what students are"},{"speaker":"Kim","startTime":1530.99,"endTime":1534.62,"body":"doing. Just be really clear that"},{"speaker":"Kim","startTime":1534.62,"endTime":1537.26,"body":"then it's not a strategy that we"},{"speaker":"Kim","startTime":1534.62,"endTime":1537.26,"body":"want to write Problems Strings"},{"speaker":"Kim","startTime":1537.26,"endTime":1540.05,"body":"for, that we want to have"},{"speaker":"Kim","startTime":1537.26,"endTime":1540.05,"body":"students really be dealing with"},{"speaker":"Kim","startTime":1540.05,"endTime":1543.35,"body":"a lot. It's not one that we"},{"speaker":"Kim","startTime":1540.05,"endTime":1543.35,"body":"actively are trying to create in"},{"speaker":"Kim","startTime":1543.35,"endTime":1546.62,"body":"all students. If students are"},{"speaker":"Kim","startTime":1543.35,"endTime":1546.62,"body":"doing it, we support a minute,"},{"speaker":"Kim","startTime":1546.89,"endTime":1550.04,"body":"but it's not the one that we're"},{"speaker":"Kim","startTime":1546.89,"endTime":1550.04,"body":"actively creating in everybody."},{"speaker":"Kim","startTime":1550.58,"endTime":1552.83,"body":"Just like Swapping. Let me just"},{"speaker":"Kim","startTime":1550.58,"endTime":1552.83,"body":"say one other thing about"},{"speaker":"Kim","startTime":1552.83,"endTime":1556.46,"body":"Swapping. Swapping is cool"},{"speaker":"Kim","startTime":1552.83,"endTime":1556.46,"body":"because we can write some really"},{"speaker":"Kim","startTime":1556.46,"endTime":1560.96,"body":"nice Give and Take Problem"},{"speaker":"Kim","startTime":1556.46,"endTime":1560.96,"body":"Strings to develop the Give and"},{"speaker":"Kim","startTime":1560.96,"endTime":1566.3,"body":"Take strategy. And if we write"},{"speaker":"Kim","startTime":1560.96,"endTime":1566.3,"body":"them in a super slick way, we"},{"speaker":"Kim","startTime":1566.3,"endTime":1569.33,"body":"can be kind of extending"},{"speaker":"Kim","startTime":1566.3,"endTime":1569.33,"body":"students who are ready because"},{"speaker":"Kim","startTime":1569.33,"endTime":1572.51,"body":"they begin to play with"},{"speaker":"Kim","startTime":1569.33,"endTime":1572.51,"body":"Swapping, while other students"},{"speaker":"Kim","startTime":1572.51,"endTime":1575.84,"body":"who need more experiences just"},{"speaker":"Kim","startTime":1572.51,"endTime":1575.84,"body":"continue building the Swapping"},{"speaker":"Kim","startTime":1575.84,"endTime":1579.8,"body":"strategy. So, it's good for"},{"speaker":"Kim","startTime":1575.84,"endTime":1579.8,"body":"teachers to know the landscape."},{"speaker":"Kim","startTime":1580.07,"endTime":1583.61,"body":"We want teachers to know the"},{"speaker":"Kim","startTime":1580.07,"endTime":1583.61,"body":"Swapping strategy, but we also"},{"speaker":"Kim","startTime":1583.61,"endTime":1586.58,"body":"want them to be clear, it's not"},{"speaker":"Kim","startTime":1583.61,"endTime":1586.58,"body":"one of the ones that you're"},{"speaker":"Kim","startTime":1586.61,"endTime":1589.82,"body":"trying to fit in your scope and"},{"speaker":"Kim","startTime":1586.61,"endTime":1589.82,"body":"sequence to make sure you get to"},{"speaker":"Kim","startTime":1589.82,"endTime":1592.61,"body":"by the end of the year, if"},{"speaker":"Kim","startTime":1589.82,"endTime":1592.61,"body":"that's your operation for that"},{"speaker":"Kim","startTime":1592.61,"endTime":1593.75,"body":"year. Does that makes sense,"},{"speaker":"Kim","startTime":1592.61,"endTime":1593.75,"body":"Kim?"},{"speaker":"Kim","startTime":1593.84,"endTime":1594.71,"body":"Yep. Yeah, absolutely."},{"speaker":"Pam","startTime":1594.71,"endTime":1594.95,"body":"Yeah."},{"speaker":"Pam","startTime":1595.31,"endTime":1598.49,"body":"Cool. Alright, ya'll, don't"},{"speaker":"Pam","startTime":1595.31,"endTime":1598.49,"body":"forget our little tease. Be on"},{"speaker":"Pam","startTime":1598.49,"endTime":1600.32,"body":"the watch for something new"},{"speaker":"Pam","startTime":1598.49,"endTime":1600.32,"body":"that's going to happen this"},{"speaker":"Pam","startTime":1600.32,"endTime":1604.1,"body":"week, or maybe be on the listen"},{"speaker":"Pam","startTime":1600.32,"endTime":1604.1,"body":"for it. Alright, thank you for"},{"speaker":"Pam","startTime":1604.1,"endTime":1608.21,"body":"tuning in, and teaching more and"},{"speaker":"Pam","startTime":1604.1,"endTime":1608.21,"body":"more real math. To find out more"},{"speaker":"Pam","startTime":1608.21,"endTime":1610.4,"body":"about the Math is"},{"speaker":"Pam","startTime":1608.21,"endTime":1610.4,"body":"Figure-Out-Able movement. Visit"},{"speaker":"Pam","startTime":1610.64,"endTime":1614.48,"body":"mathisfigureoutable.com. Let's"},{"speaker":"Pam","startTime":1610.64,"endTime":1614.48,"body":"keep spreading the word that"},{"speaker":"Pam","startTime":1614.48,"endTime":1616.07,"body":"Math is Figure-Out-Able!"}]}