"From Geometric Intuition to Arithmetical Rigor: Teaching Analysis with" by Anne Duffee
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The Mathematics Enthusiast

Authors

Anne Duffee

Volume

22

Issue

1-2

Abstract

In this paper I argue for the value of reading primary historical texts in mathematics courses. In particular, I show how close readings of Bolzano’s 1817 paper on the Intermediate Value Theorem in an introductory analysis course helps students understand the working use of fundamental analytic concepts and problems. I further argue that the philosophical purpose of reading primary texts is the “desedimentation” of knowledge, a process through which students come to understand the origins of mathematical concepts as solutions to historical problems.

First Page

81

Last Page

94

Digital Object Identifier (DOI)

10.54870/1551-3440.1652

Publisher

University of Montana, Maureen and Mike Mansfield Library

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