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“Although it is necessary to infuse courses and curricula with modern content, what is even more important is to give students the tools they will need in order to use, understand, and even make mathematics that does not yet exist. A curriculum organized around habits of mind tries to close the gap between what the users and makers of mathematics do and what they say.” (Cuoco, Goldenberg, and Mark 1996, p. 376)
Cuoco et al. (Sat,) studied this question.