Approximations first: a closer look at applications of the definite integral*. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Brandt, Keith
• Is Part Of: International journal of mathematical education in science and technology. Volume 48:Issue 1(2017)
• Page Start: 94
• Page End: 101
• Publication Date: 2017-01-02
• Subjects: Calculus -- Riemann sum -- definite integral -- computer algebra system; 97A30 -- 97D20 -- 97D40 -- 97I50; Mathematics -- Study and teaching -- Periodicals; Mathematics -- Periodicals; 510.07
• DOI: 10.1080/0020739X.2016.1213433
• Languages: English
• ISSNs: 0020-739X

Abstract

ABSTRACT: I propose that students pay more attention to the approximations that lead to integral formulas when they study applications of the definite integral. The goal is to focus students on the underlying concepts and the definition of the definite integral – and to steer them away from memorizing formulas. To address this goal, I have written some computer-based activities that guide students through the nuts and bolts of the approximations that eventually lead to integral formulas. I describe the activities and suggest a few changes as to how we might approach this material.