Brief Review of Exponents and Logarithms. Return of the Integral Chapter Lots of mathematical fun to be had. Thinking Mathematics! Learn about mathematiccs mathematical mysteries of a bagel, a checkerboard, and a pile of laundry, for example. James Tanton believes that the ultimate goal of the mathematics curriculum is to teach self-reliant thinking, critical questioning and the confidence to synthesize ideas and to re-evaluate them.
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We brought together about people from across the planet just on social media saying we want to be ambassadors to this project, spread the word, and our first year 1. We love talking to James because he is so passionate about the discipline of mathematics and he has some exciting, timely news to share with all of you.
Jon Orr: We chatted with James way back in episode number six where we discussed his math background, his memorable moment and his passionate views on mathematics. Then, come on back here to hear James talk more about exploding dots, how teaching polynomial division is the same as multiplying in grade five and vice versa, and he fills us in on Global Math Week and how you can get involved.
We are two math teachers who together… Kyle Pearce: … with you the community of educators worldwide who want to build and deliver math lessons that spark engagement. Jon Orr: Fuel that learning. Kyle Pearce: And ignite teacher action. Kyle Pearce: John, I am super excited for this episode with James.
James Tanton. Are you ready to go? Jon Orr: Of course, Kyle. But before we get to our chat with James, we want to give a quick shout out to one of you Math Moment Makers. This listener left us a five star-review on Apple Podcasts. Must-listen for math educators. This show offers insight into the classroom experience of many teachers, and the interviews always leave me with something to ponder over the week. Kyle and John have inspired me and I often borrow ideas, tweaking them for my elementary classroom.
This podcast is a must-listen for any teacher of mathematics. Where are you listening in from? Registration is open now until October 12th, You can register by visiting makemathmoments. Kyle Pearce: All right. Jon Orr: Hey there, James. You were back with us in the beginning in episode number six, but before we get into that, how are you doing tonight?
First of all, thank you for having me back. What a joy, what a pleasure, and what a real honor. So, thank you. I know people at home probably are thinking, oh, James is back, all the way from episode number six. We are super excited to have you here. Jon, you want to queue James up for what you have in store?
James Tanton: Uh-oh. All right. Jon Orr: Sure. Most people play it as an ice-breaker game, but in my class I have used it many times to talk about different concepts, like say quadratics or linear relations, and the kids make two true statements. James Tanton: As one naturally does.
Jon Orr: Right, this is just natural in a math class. Kyle Pearce: This in their spare time. Jon Orr: Kids would create two truths and one lie about, say an equation or a graph, and then their classmates have to try to figure out the truths and the lie. James, would you tell our audience and us two true statements and one lie about yourself, but do not tell us which one is the truths or lie and Kyle and I will try and figure that out. The people at home will also try to figure this out.
Do you have something up, James? Can you give us a challenge here? James Tanton: Okay. On zero notice, here it goes. I, James Tanton of Planet Earth, have climbed the highest peak of two continents on this planet. I have appeared on the game show Wheel of Fortune. Everything is say is the truth. Kyle Pearce: Oh, man. Jon Orr: Oh, my goodness. Kyle Pearce: This is fantastic. I know it. Kyle Pearce: Jon, what do you think? James is always posting his mini-hikes and his hikes on his Facebook page, and I see him hike every single day.
Now, he threw a monkey wrench into this, Kyle. Kyle Pearce: I know. Then, what does that mean? Oh, man. Min blown. Kyle Pearce: Oh, this is tough. James Tanton: Oh, my goodness. Jon Orr: Mm-hmm affirmative. Kyle Pearce: With two truths and a lie? Jon Orr: I think so. Kyle Pearce: I think we might have an issue here. What have you got? James Tanton: Which you is that you? Is that me? Jon Orr: No. Kyle, what are you leaning towards here?
Jon, I liked your logic here. Kyle Pearce: James, everything you say is the truth is your lie. What do you think? James Tanton: Well, it has to be, does it not? Kyle Pearce: Yes. Kyle Pearce: Tricking us. James Tanton: [inaudible ]. Kyle Pearce: Right. James Tanton: By pure logic, that had to be the lie from playing a game that must include one lie.
James Tanton: Well done. Kyle Pearce: Oh, my gosh. The fact is when I was 18, turned old enough to appear on a game show, I did appear on Wheel of Fortune, the Australian version, way back, gosh, odd, odd years ago, so a crazy amount of time ago in another continent.
Yes, it was the cheaper version. I did not… whoever the host is of thingy. I never actually watched an episode. It was just complete luck that I signed up for this thing, waited for the interview, and got on.
So, I just did it. It was a blast. Kyle Pearce: That is fantastic. James Tanton: No way. James Tanton: Hang on, but one thing. I have to call Kyle on one thing. Jon Orr: Okay. I am not at all an exercise person, whatsoever. The fact is, I happened to climb the highest peak in Australia, which is pretty darn small [inaudible ].
Then, I was lucky enough to climb Mount Kilimanjaro at one time. It took me nine days to go up. Kyle Pearce: Wow. It was just a nice gentle hike all the way up. It was pretty darn easy to climb the highest peaks of two continents.
James Tanton: Any others?
Episode #45 – Global Math Week, Exploding Dots, and James Tanton
JAMES TANTON THINKING MATHEMATICS PDF