Innovations in Teaching Abstract Algebra

Table of Contents

Preface

I. Engaging Students in Abstract Algebra

• Active Learning in Abstract Algebra: An Arsenal of Techniques, Laurie Burton, sarah-marie belcastro, and Moira McDermott

• A Modified Discovery Approach to Teaching and Learning Abstract Algebra, Steve Benson with Brad Findell

• On Driving Students to Abstraction, Paul Fjelstad

• Using Geometry in Teaching Group Theory, Gary Gordon

• An Abstract Algebra Research Project: How many solutions does x² + 1 = 0 have?, Suzanne Doree

II. Using Software to Approach Abstract Algebra

• Laboratory Experiences in Group Theory: A Discovery Approach, Ellen J. Maycock

• Learning Beginning Group Theory with Finite Group Behavior, Edward Keppelmann with Bayard Webb

• Discovering Abstract Algebra with ISETL, Ruth I. Berger

• Teaching Abstract Algebra with ISETL, Karin M. Pringle

• Using ISETL and Cooperative Learning to Teach Abstract Algebra: An Instructor's View, Robert S. Smith

• Using GAP in an Abstract Algebra Course, Julianne G. Rainbolt

• Experiments with Finite Linear Groups Using MATLAB, George Mackiw

• Some Uses of Maple in the Teaching of Modern Algebra, Kevin Charlwood

• Using Mathematica to Explore Abstract Algebra, Allen C. Hibbard

III. Learning Algebra Through Applications and Problem Solving

• The PascGalois Triangle: A Tool for Visualizing Abstract Algebra, Michael J. Bardzell and Kathleen M. Shannon

• Developing a Student Project in Abstract Algebra: The Lights Out Problem, John Wilson

• Learning Permutation Group Theory via Puzzles, John O. Kiltinen

• Ringing the Changes: An Aural Permutation Group, Lucy Dechene

Appendix

• Internet Resources for This Volume

• About the Authors

Index