Numbers, Programs, and ISETL

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 1 in Learning Discrete Mathematics with ISETL, 1989, pp 1-61 from Springer

Abstract: Abstract This chapter reflects, as does the entire book, our ideas on how people can learn Mathematics. The essential point is that by working to understand and use a programming language the student is, perforce, mentally active in constructing whatever concepts are required by the syntax of the language and the programs that are written in the language. When, as is the case with ISETL (interactive set language), the syntax is very close to standard mathematical language and, as in this book, the programs are carefully selected to correspond to mathematical concepts, this mental activity is automatically directed toward understanding ideas in Mathematics.

Keywords: Positive Integer; Binary Operator; Great Common Divisor; Euclidean Algorithm; Greatest Common Divisor (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3592-7_1

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DOI: 10.1007/978-1-4612-3592-7_1

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