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Teaching Mathematics in Colleges and Universities: Case Studies for Today’s Classroom: Faculty Edition
 
Solomon Friedberg Boston College, Chestnut Hill, MA
A co-publication of the AMS and CBMS
Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom
eBook ISBN:  978-1-4704-2334-6
Product Code:  CBMATH/10.F.E
List Price: $36.00
Individual Price: $28.80
Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom
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Teaching Mathematics in Colleges and Universities: Case Studies for Today’s Classroom: Faculty Edition
Solomon Friedberg Boston College, Chestnut Hill, MA
A co-publication of the AMS and CBMS
eBook ISBN:  978-1-4704-2334-6
Product Code:  CBMATH/10.F.E
List Price: $36.00
Individual Price: $28.80
  • Book Details
     
     
    CBMS Issues in Mathematics Education
    Volume: 102001; 158 pp
    MSC: Primary 00; 97;

    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. 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.

    Readership

    Advanced 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 TA-Development 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 102001; 158 pp
MSC: Primary 00; 97;

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. 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.

Readership

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 TA-Development 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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