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mathmansam.bsky.social
Mathematics Educator at Deerfield Academy. Husband. Father. Member of the #NeuroNerdSquad Pronouns: He/They
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The best thing was after the whole thing happened, Brennan had to tell them that they actually needed them to be in their seats to fix it šŸ˜‚
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Theyā€™ve said theyā€™re putting it on Dropout for sure! So youā€™ll be able to see how incredible it was :)
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So there were technical issues that meant they needed to wait for some lighting changes, and Lou and Murph just decided to fill time by going full WWE.
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I actually think after looking at it you're 2/3 to get the valuable goat so you shouldn't switch!
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Binomial on a coal pile
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I learned regex in Python and Iā€™m obsessed!
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Oh I absolutely could have, I just didnā€™t!
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This is the binomial theorem! A really nice starter example for branching into some combinatorics questions (and thinking about why combinations and polynomial expansions are related is a great tool for students to understand both topics on a deeper level.
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Canā€™t highlight enough the ā€œmath that depends on what youā€™re teaching themā€. A deep understanding of ā€œwhyā€ weā€™re learning a specific topic, notation, method of visualization/communication, etc can help motivate mastery more than anything else.
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Iā€™ve used this as a parents day activity, where the kids do the angle chasing and try to figure out what each of the sides is. Itā€™s been wildly successful, they treat it like a puzzle and if they have strong right triangle trig knowledge theyā€™re perfectly capable of filling in the diagram.
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This perspective helps you thinking about why the probabilities are distributed the way they are. The other thing to do to try to understand the dynamics is to imagine a world in which you have 10 doors, or 100 doors.
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Imagine a world where you are inside one of the doors and a hungry ogre is picking. They pick one of the other doors. Do you want them to switch? You of course do not. This happens 2/3 of the time. If they pick your door, you desperately want them to switch. This happens 1/3 of the time.
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THERE ARE TABS?!?
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This is brilliant!
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I love using the vending machine model! ā€œIf you hit the button for a coke and you could either get a coke or a sprite randomly, would that be a good machine?ā€
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Thatā€™s definitely where Iā€™m at! Also a lot of planned variation in terms of input variable and composed functions to get students conditioned to understanding how it works. A lot of ā€œf is a rule that weā€™ve defined and applied to an input ā€˜xā€™ā€ also. I wish I had a magic wand!
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I had a student print a cool visualization of how the gradient interacts with tangent planes that I use all of the time. Itā€™s a cylinder that fits into a trapezoidal prism and shows how the partial derivative vectors and the gradient vectors can be visualized. Iā€™ll snap a pic when Iā€™m in my office.
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Thereā€™s a couple of classrooms with this going on and it infuriates me. I donā€™t have a good sense of time, I need the clock to let me know where Iā€™m at!
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My teaching partner printed these out and sealed them with a minions yellow sealing wax and the letter G to add to the drama of getting this request. It was a huge hit with students! (Credit to Gavin LaRose for the prompt I adapted.) 2/2
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Ooh, thereā€™s some good marketing psychology stuff in that question also. How does presentation of pricing affect consumer choice and such.