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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.
Preface to the second edition
Preface to the first edition
Guiding Principles
Chapter Overview
Respect
More on Respect
Prepare
Clarity
Speak Up
Lectures.
Questions
Advanced Courses
Time
Computers
Applications
The Moore Method
Practical Matters
Chapter Overview
Voice.
Eye Contact
Blackboard Technique
Body Language
Homework
Office Hours
Designing a Course
Handouts
Teaching Evaluations.
Exams
Grading
The Syllabus (and the Course Diary).
Choosing a Textbook.
Large Lectures.
Small Classes vs. Large Classes
Problem Sessions, Review Sessions, and Help Sessions
Transparencies
Tutors
On Being a TA
Advising, Letters of Recommendation, and Graduate School
Spiritual Matters
Chapter Overview
Personal Aspects
Attitude
Caring
Breaking the Ice
Why Do We Need Mathematics Teachers?
Math Anxiety
How Do Students Learn?
Inductive vs. Deductive Method
Who Is My Audience?
Teaching Reform
Mentors and Neophytes
How to Ask, How to Answer
Teaching with the Internet
The Art of Discourse
What about Research?
Do I Have to Teach Calculus Again?
Difficult Matters
Chapter Overview
Non-Native English Speakers
Late Work
Cheating
Incompletes
Frustration
Annoying Questions
Discipline
Mistakes in Class
Advice and Consent
Sexism, Racism, Misogyny, and Related Problems
Begging and Pleading
New Beginning
Chapter Overview
The Role of the University Professor
Closing Thoughts
Appendices
George E. Andrews, The Irrelevance of Calculus Reform: Ruminations of a Sage-on-the-Stage
Richard Askey, Mathematical Content