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19 - Assessing What Students Learn: Reform versus Traditional Precalculus and Follow-up Calculus

from Theme 4 - Student Learning and Research

Florence S. Gordon
Affiliation:
New York Institute of Technology
Nancy Baxter Hastings
Affiliation:
Dickinson College
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Summary

Introduction

For the last decade, the reform of mathematics education at the college level has been accompanied by the so-called “math wars.” One dimension of this struggle has involved calls to prove that non-traditional courses are at least as effective as the courses they are designed to replace. From one point of view, this is certainly a reasonable request, especially as all of higher education faces pressures for accountability. From another point of view, I am not aware that anyone has ever been asked to prove anything about the effectiveness of the traditional courses. Most studies looking at the impact of a nontraditional approach to student learning have focused on the developmental mathematics/college algebra level and at the calculus level. For instance, Baxter et al [1] compared student performance in traditional versus reform calculus and the students' performance in subsequent science and engineering courses.

In this article, we look at the results of a comprehensive, multifaceted study, which we undertook in fall 1999, that compared student performance, success, retention, and attitudes in a reform version of precalculus to that in a traditional version of the same course. Another component of the study involved student performance, success, and retention in the follow-up calculus course based on the type of precalculus experience the students had.

Background

The precalculus offering at New York Institute of Technology (NYIT) is the standard college algebra and trigonometry course stressing traditional drill-and-skill techniques presumed to be necessary for calculus.

Type
Chapter
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A Fresh Start for Collegiate Mathematics
Rethinking the Courses below Calculus
, pp. 181 - 192
Publisher: Mathematical Association of America
Print publication year: 2006

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