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15 - Foundations of Statistics in American Textbooks: Probability and Pedagogy in Historical Context

from III - Discrete Mathematics, Computer Science, Numerical Methods, Logic, and Statistics

Patti Wilger Hunter
Affiliation:
Westmont College in Santa Barbara, California
Amy Shell-Gellasch
Affiliation:
Beloit College
Dick Jardine
Affiliation:
Keene State College
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Summary

Introduction

The last two decades have seen increasing interest within the mathematics community in reforming the undergraduate curriculum. Efforts at reform have embraced a wide range of issues, including teaching methods, content, assessment, and administration. Among the several mathematical disciplines receiving close scrutiny under the lens of reform, statistics—especially at the introductory level—has received much attention, focused particularly on pedagogy, technology, and the content of introductory courses. Recommended changes in content include an increased emphasis on data production and analysis, with less time given to “recipes and derivations” [5]. Some statisticians also suggest treating data ethics and introducing students to the nature of official statistics and the organization of national statistics offices. This shift in emphasis marks a significant departure from traditional approaches to the subject, even at the introductory level. As one spokesman for reform efforts in statistics has put it, “What we want beginners to learn about statistics has changed dramatically in the past generation” [23, p. 126].

Statisticians have reached a fairly high level of agreement about the appropriate content and emphases in introductory statistics courses [23]. Others who teach the subject, however (mathematicians, sociologists, economists, for example) aren't always familiar with the recommendations of the statistics community, or in agreement with them. One set of recommendations focuses on the place of probability in elementary courses. Recognizing that additions to the list of topics in a course nearly always require some deletions, many reformers argue for a diminished role for probability theory [5, 23], pointing out that “only an informal grasp of probability is needed to follow the reasoning of standard statistical inference” [23, p. 128].

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From Calculus to Computers
Using the Last 200 Years of Mathematics History in the Classroom
, pp. 165 - 180
Publisher: Mathematical Association of America
Print publication year: 2005

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