Sets and Tuples

Nancy Baxter, Ed Dubinsky and Gary Levin
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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

Chapter Chapter 3 in Learning Discrete Mathematics with ISETL, 1989, pp 99-161 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-1-4612-3592-7_3

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