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Sets and Tuples

  • Nancy Baxter
  • Ed Dubinsky
  • Gary Levin

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.

Keywords

Prime Number Venn Diagram Arithmetic Progression Boolean Expression Boolean Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • Nancy Baxter
    • 1
  • Ed Dubinsky
    • 2
  • Gary Levin
    • 3
  1. 1.Department of Mathematical SciencesDickinson CollegeCarlisleUSA
  2. 2.Departments of Education and MathematicsPurdue UniversityWest LafayetteUSA
  3. 3.Department of Mathematics and Computer ScienceClarkson UniversityPotsdamUSA

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