**CBMS Issues in Mathematics Education**

Volume: 10;
2001;
67 pp;
Softcover

MSC: Primary 00; 97;

Print ISBN: 978-0-8218-2823-6

Product Code: CBMATH/10

List Price: $20.00

Individual Price: $16.00

**Electronic ISBN: 978-1-4704-1756-7
Product Code: CBMATH/10.E**

List Price: $20.00

Individual Member Price: $16.00

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# Teaching Mathematics in Colleges and Universities: Case Studies for Today’s Classroom: Graduate Student Edition

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*Solomon Friedberg*

A co-publication of the AMS and CBMS

Progress in mathematics frequently occurs first by studying
particular examples and then by generalizing the patterns that have
been observed into far-reaching theorems. Similarly, in teaching
mathematics one often employs examples to motivate a general principle
or to illustrate its use. This volume uses the same idea in the
context of learning how to teach: By analyzing particular
teaching situations, one can develop broadly applicable teaching
skills useful for the professional mathematician. These teaching
situations are the Case Studies of the title.

Just as a good mathematician seeks both to understand the details of a
particular problem and to put it in a broader context, the examples presented
here are chosen to offer a serious set of detailed teaching issues and to
afford analysis from a broad perspective.

Each case raises a variety of pedagogical and communication issues
that may be explored either individually or in a group facilitated by
a faculty member.

The methodology of Case Studies is widely used in areas such as business and
law. The consideration of the mathematics cases presented here will help
readers to develop teaching skills for their own classrooms.

See the faculty edition at
Teaching Mathematics in Colleges and Universities: Case Studies for Today's
Classroom: Faculty Edition

This series is published in cooperation with the Mathematical Association of America.

#### Readership

Advanced undergraduates, graduate students, research mathematicians and mathematics teachers.

#### Reviews & Endorsements

It will be specially useful to graduate students who are TAs or will be college teachers. The option of this volume was to present fourteen case studies … ‘of common teaching situations’ … these teaching exercises are valuable and the project was very carefully conducted.

-- Zentralblatt MATH

By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician.

-- FIZ Karlsruhe

#### Table of Contents

# Table of Contents

## Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom: Graduate Student Edition

- Cover Cover11 free
- Other titles in this series i2 free
- Title page v6 free
- Contents vii8 free
- Disclaimer ix10 free
- Acknowledgments xi12 free
- Introduction 116 free
- Part I. Fourteen case studies 318
- Changing sections 520
- Emily’s test 1126
- Fundamental problems 1328
- Making the grade (College algebra version/Calculus I version/Multivariable calculus version) 1530
- Making waves 2136
- Order out of chaos 2742
- Pairing up 3146
- The quicksand of problem four 3550
- Salad days 4358
- Seeking points 4560
- Study habits 4964
- Studying the exam (College algebra questions/Calculus II questions/Multivariable calculus questions) 5570
- There’s something about Ted 6378
- What were they thinking? 6580
- Back Cover Back Cover190