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Coordinates & Vectors Unit
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"A mathematician is a machine for turning coffee into theorems."--Paul Erdös
Ideally, students should achieve proficiency in three categories of knowledge as defined by Wiggins & McTighe: "enduring" understanding, important to know and do, and worth being familiar with (1998). Students may question the relevance of any of these categories to math. I suspect this is in part because the three categories become conflated or confused. It is not especially important to me, for example, that students learn the formal definition of the vector dot product, which may not even emerge. More important are the ways of thinking demanded by meaningful mathematics: the ability to ground speculation in rigor, follow a premise through to the brilliant or bitter end, and to generalize from evidence or narrow speculation to a conjecture, among others. With that in mind, the following sections will detail some specific understandings to aim for with respect to coordinate systems and examples of "acceptable evidence." |
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