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Inspired by Paul Lockhart's "A Mathematician's Lament". I would argue that what students actually need is play. Play is essential for learning especially at the earliest stages of education. Given that the central element of mathematics is proof, this means that students should form their own conjectures from an early age. They should also attempt ...


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Most of them just aren't used to having to present their thoughts/work in a way beyond "here's a bunch of equations in a row and here's the final answer in a box". I find students emulate very well the style of how they've been instructed. Their presentation style reflects the lectures, tutorials, explanations, and texts they have been exposed to. ...


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