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How to Teach Mathematics, Second Edition
Steven G. Krantz, Washington University, St. Louis, MO

1999; 307 pp; softcover
ISBN-10: 0-8218-1398-6
ISBN-13: 978-0-8218-1398-0
List Price: US$30
Member Price: US$24
Order Code: HTM/2
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This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues.

Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner.

The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.

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Graduate students and novice instructors; experienced teachers.


"Since the first edition of How to Teach Mathematics the increasing maturity of both traditionalist and reform movements has given Krantz more insights into the teaching of mathematics. The book is intended primarily for the graduate student or novice instructor; however, the book is also valuable for others. Post-secondary instructors ... Mathematics department heads ... Teaching Development Centers ... university administrators. In the appendices twelve other mathematics teachers comment in some way on Krantz's text and give some insight into other approaches to teaching. This book is a must read for instructors preparing their courses for next semester."

-- MAA Online

Praise for the First Edition ...

"An original contribution to the educational literature on teaching mathematics at the post-secondary level. The book itself is an explicit proof of the author's claim `teaching can be rewarding, useful, and fun'."

-- Zentralblatt MATH

"Unlike secondary school teachers, college and university teachers usually have no preliminary theoretical background in the teaching of mathematics. [This book] is written in a lively and humorous style, even though the points discussed are entirely serious and sensible. The author succeeds in elucidating the fine points of excellent teaching and offers a lot of important practical advice. The book is strongly recommended to everybody who teaches mathematics."

-- European Mathematical Society Newsletter

Table of Contents

  • Guiding principles
  • Practical matters
  • Spiritual matters
  • Difficult matters
  • A new beginning
  • Appendices
  • The irrelevance of calculus reform: Ruminations of a sage-on-the-stage
  • Mathematical content
  • Personal thoughts on mature teaching
  • Remember the students
  • Reflections on Krantz's How to Teach Mathematics: A different view
  • Are we encouraging our students to think mathematically?
  • Big business, race, and gender in mathematics reform
  • Will this be on the exam?
  • Teaching or appearing to teach: What's the difference?
  • Why (and how) I teach without long lectures
  • The joy of lecturing--with a critique of the romantic tradition in education writing
  • Teaching freshmen to learn mathematics
  • Bibliography
  • Index
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