Mathematics Worth Teaching, Mathematics Worth Understanding

Abstract

The purpose of this chapter is to examine the scope of the mathematical content we expect students to understand after they have participated in the mathematical curricula described. This chapter has been organized under four headings: (a) traditional school mathematics, to clarify what the shift is away from; (b) mathematics as a human activity, to portray the direction the shift is toward; (c) mathematics worth teaching, to provide an overview to the answers provided in the following chapters to the initial question (What is it that students are expected to understand?); and, finally, (d) speculations about school mathematics in the future.

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