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Jan
22
awarded  Nice Question
Jan
22
comment Explaining what real math is to a high school student
I like your suggestions (I've read most of them), but it would be a great answer if you expanded a little on which arguments, exercises, analogies,... you would use for this specific purpose.
Jan
21
comment Explaining what real math is to a high school student
@RobertMastragostino I would say that a high school math class is usually about practising scales, but without knowing what they are nor what you can do with them; I'd say you are allowed to listen to songs, but you aren't allowed to play them yourself. I thought my high school math classe were often a very passive and 'blind' experience: we learned how to do something, but I didn't know what I was doing, nor what I could do with it (i.e. why I was doing it) and we definitely weren't encouraged to play around with it, which is essential to gain insight.
Jan
21
awarded  Student
Jan
21
asked Explaining what real math is to a high school student
Jan
18
awarded  Nice Answer
Jan
17
awarded  Supporter
Jan
17
awarded  Editor
Jan
17
revised How to go from beginner to expert in mathematics?
Added Cambridge mathematical tripos reference
Jan
17
awarded  Teacher
Jan
17
answered How to go from beginner to expert in mathematics?
Jan
5
awarded  Analytical