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Sets and Tuples

In: Learning Discrete Mathematics with ISETL

Author

Listed:
  • Nancy Baxter

    (Dickinson College, Department of Mathematical Sciences)

  • Ed Dubinsky

    (Purdue University, Departments of Education and Mathematics)

  • Gary Levin

    (Clarkson University, Department of Mathematics and Computer Science)

Abstract

The goal of this chapter is to motivate students to understand sets and tuples (sequences with finitely many non-OM components) as objects to which certain operations can be applied. By working with a set as a collection of objects and realizing that a set can be a member of another set, the student begins to think of a set itself as an object. Along these same lines, we try to strengthen the notion of a proposition as an object by giving many examples in which a proposition is an element of a set. We also attempt to objectify sets and tuples by having the student define ISETL funcs that return a set or a tuple.

Suggested Citation

  • Nancy Baxter & Ed Dubinsky & Gary Levin, 1989. "Sets and Tuples," Springer Books, in: Learning Discrete Mathematics with ISETL, chapter 0, pages 99-161, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4612-3592-7_3
    DOI: 10.1007/978-1-4612-3592-7_3
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