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Finding Polynomial and Rational Function Turning Points in Precalculus

Finding Polynomial and Rational Function Turning Points in Precalculus COMPUTER MATH SNAPSHOT FINDING POLYNOMIAL AND RATIONAL FUNCTION TURNING POINTS IN PRECALCULUS BARRY CHERKAS Department of Mathematics & Statistics Hunter College (City University of New York) 695 Park Avenue New York, NY 10021 U.S.A. E-mail: barry.cherkas@hunter.cuny.edu and Ph.D. Program in Urban Education CUNY Graduate Center 365 Fifth Avenue New York, NY 10016 U.S.A. This column will publish short (from just a few paragraphs to ten or so pages), lively and intriguing computer-related mathematics vignettes. These vignettes or snapshots should illustrate ways in which computer environments have transformed the practice of mathematics or mathe- matics pedagogy. They could also include puzzles or brain-teasers involving the use of computers or computational theory. Snapshots are subject to peer review. The premise of this issue’s snapshot is that calculus is overloaded with topics, some of which can be introduced earlier in a revised pre-calculus curriculum using techniques involving algebra. The snapshot explores one such topic – finding turning points for polynomial and rational functions – grounded in an application of the Fundamental Theorem of Algebra and spatial reasoning. One solution technique leads to systems of equations that can be solved handily using a computer algebra system. This spiral approach to the pre-calculus/calculus learning http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Technology, Knowledge and Learning" Springer Journals

Finding Polynomial and Rational Function Turning Points in Precalculus

"Technology, Knowledge and Learning" , Volume 8 (2) – Oct 11, 2004

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Publisher
Springer Journals
Copyright
Copyright © 2003 by Kluwer Academic Publishers
Subject
Education; Learning and Instruction; Mathematics Education; Educational Technology; Science Education; Creativity and Arts Education
ISSN
2211-1662
eISSN
1573-1766
DOI
10.1023/B:IJCO.0000003966.96403.3d
Publisher site
See Article on Publisher Site

Abstract

COMPUTER MATH SNAPSHOT FINDING POLYNOMIAL AND RATIONAL FUNCTION TURNING POINTS IN PRECALCULUS BARRY CHERKAS Department of Mathematics & Statistics Hunter College (City University of New York) 695 Park Avenue New York, NY 10021 U.S.A. E-mail: barry.cherkas@hunter.cuny.edu and Ph.D. Program in Urban Education CUNY Graduate Center 365 Fifth Avenue New York, NY 10016 U.S.A. This column will publish short (from just a few paragraphs to ten or so pages), lively and intriguing computer-related mathematics vignettes. These vignettes or snapshots should illustrate ways in which computer environments have transformed the practice of mathematics or mathe- matics pedagogy. They could also include puzzles or brain-teasers involving the use of computers or computational theory. Snapshots are subject to peer review. The premise of this issue’s snapshot is that calculus is overloaded with topics, some of which can be introduced earlier in a revised pre-calculus curriculum using techniques involving algebra. The snapshot explores one such topic – finding turning points for polynomial and rational functions – grounded in an application of the Fundamental Theorem of Algebra and spatial reasoning. One solution technique leads to systems of equations that can be solved handily using a computer algebra system. This spiral approach to the pre-calculus/calculus learning

Journal

"Technology, Knowledge and Learning"Springer Journals

Published: Oct 11, 2004

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