## Student Conceptions of Mathematics

Do you ever get the feeling that you’re not making any real progress with your students? Sure, they pass tests and progress through the courses (well, most of them), but have you ever just had the uneasy feeling that they really don’t get what math is all about? Suppose you were to ask your students the following question: Think about the math that you’ve done so far. What do you think mathematics is? What do you think they would tell you? Well, in 1994, a research group from Australia did ask 300 first-year university students this question (Crawford, Gordon,...

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