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Full-Text Articles in Education
The Case Of The Missing Speedometer: The First Day Of Calculus, Marion D. Cohen
The Case Of The Missing Speedometer: The First Day Of Calculus, Marion D. Cohen
Journal of Humanistic Mathematics
This article describes the way I've been teaching the first day of Calc I, my single-variable Calculus class. By the end of the hour students have (A) dictated difference quotients for me to write on the board, (B) dictated one example of the limit of difference-quotients definition of derivative of a function at a point, and (C) calculated a few derivatives. The more rigorous definitions of function, of operations on functions, and of limits can wait until later. This approach has been very successful, and students have said they "get it this time around."
Teaching Research: Encouraging Discoveries, Francis E. Su
Teaching Research: Encouraging Discoveries, Francis E. Su
All HMC Faculty Publications and Research
What does it take to turn a learner into a discoverer? Or to turn a teacher into a co-adventurer? A handful of experiences—from teaching a middle-school math class to doing research with undergraduates—have changed the way that I would answer these questions. Some of the lessons I’ve learned have surprised me.