eBook ISBN:  9781470423346 
Product Code:  CBMATH/10.F.E 
List Price:  $36.00 
Individual Price:  $28.80 
eBook ISBN:  9781470423346 
Product Code:  CBMATH/10.F.E 
List Price:  $36.00 
Individual Price:  $28.80 

Book DetailsCBMS Issues in Mathematics EducationVolume: 10; 2001; 158 ppMSC: Primary 00; 97
Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into farreaching 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. Teaching notes for such a facilitator are included for each Case in the Faculty Edition.
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 graduate edition at Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom: Graduate Student Edition
This series is published in cooperation with the Mathematical Association of America.
ReadershipAdvanced undergraduates, graduate students, research mathematicians and mathematics teachers.

Table of Contents

Articles

Introduction

Part I. Fourteen case studies

Case 1. Changing sections

Case 2. Emily’s test

Case 3. Fundamental problems (Part I). Explaining the fundamental theorem of calculus

Case 4. Making the grade: Grading student work

Case 5. Making waves: Motivating Fourier series through physics

Case 6. Order out of chaos: A precalculus class struggles with graphing calculators

Case 7. Pairing up: Managing group work

Case 8. The quicksand of problem four: A recitation section covering average velocity goes awry

Case 9. Salad days: A struggling calculus student

Case 10. Seeking points: A Student protests his exam grade, having used prior knowledge about the derivative to solve the examination question

Case 11. Study habits: A TA seeks ways to get her class to work harder

Case 12. Studying the exam: Constructing an effective, appropriate examination

Case 13. There’s something about Ted (Part I): Moving to a large state university as an instructor

Case 14. What were they thinking? Coping with poor exam results

Part II. Supporting Materials for Faculty

Developing Effective Mathematics Teaching Assistants Using Case Studies: An Introduction for Faculty

Using case studies in a TADevelopment Program

Types of cases

Summaries of cases

How these cases were created

Case 1. Changing sections, Teaching Guide

Case 2. Emily’s test, Teaching Guide

Case 3. Fundamental problems, Part II

Case 4. Making the grade, Teaching Guide

Case 5. Making waves, Part II

Case 6. Order out of chaos, Teaching Guide

Case 7. Pairing up, Teaching Guide

Case 8. The Quicksand of problem four, Teaching Guide

Case 9. Salad days, Teaching Guide

Case 10. Seeking points, Teaching Guide

Case 11. Study habits, Teaching Guide

Case 12. Studying the exam, Teaching Guide

Case 13. There’s something about Ted, Part II

Case 14. What were they thinking?, Teaching Guide


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Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into farreaching 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. Teaching notes for such a facilitator are included for each Case in the Faculty Edition.
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 graduate edition at Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom: Graduate Student Edition
This series is published in cooperation with the Mathematical Association of America.
Advanced undergraduates, graduate students, research mathematicians and mathematics teachers.

Articles

Introduction

Part I. Fourteen case studies

Case 1. Changing sections

Case 2. Emily’s test

Case 3. Fundamental problems (Part I). Explaining the fundamental theorem of calculus

Case 4. Making the grade: Grading student work

Case 5. Making waves: Motivating Fourier series through physics

Case 6. Order out of chaos: A precalculus class struggles with graphing calculators

Case 7. Pairing up: Managing group work

Case 8. The quicksand of problem four: A recitation section covering average velocity goes awry

Case 9. Salad days: A struggling calculus student

Case 10. Seeking points: A Student protests his exam grade, having used prior knowledge about the derivative to solve the examination question

Case 11. Study habits: A TA seeks ways to get her class to work harder

Case 12. Studying the exam: Constructing an effective, appropriate examination

Case 13. There’s something about Ted (Part I): Moving to a large state university as an instructor

Case 14. What were they thinking? Coping with poor exam results

Part II. Supporting Materials for Faculty

Developing Effective Mathematics Teaching Assistants Using Case Studies: An Introduction for Faculty

Using case studies in a TADevelopment Program

Types of cases

Summaries of cases

How these cases were created

Case 1. Changing sections, Teaching Guide

Case 2. Emily’s test, Teaching Guide

Case 3. Fundamental problems, Part II

Case 4. Making the grade, Teaching Guide

Case 5. Making waves, Part II

Case 6. Order out of chaos, Teaching Guide

Case 7. Pairing up, Teaching Guide

Case 8. The Quicksand of problem four, Teaching Guide

Case 9. Salad days, Teaching Guide

Case 10. Seeking points, Teaching Guide

Case 11. Study habits, Teaching Guide

Case 12. Studying the exam, Teaching Guide

Case 13. There’s something about Ted, Part II

Case 14. What were they thinking?, Teaching Guide