Innovations in Teaching Abstract Algebra

Innovations in Teaching Abstract Algebra

by Allen C. Hibbard, Allen C. Hibbard, Ellen J. Maycock
     
 

ISBN-10: 0883851717

ISBN-13: 9780883851715

Pub. Date: 01/28/2001

Publisher: Mathematical Association of America

This collection of articles is the outgrowth of several gatherings of mathematicians who were interested in discussing the teaching and learning of abstract algebra: two contributed paper sessions entitled Innovations in Teaching Abstract Algebra, at the 1997 and 1999 Joint Mathematics Meetings, and the NSF-UFE workshop Exploring Undergraduate Algebra and Geometry…  See more details below

Overview

This collection of articles is the outgrowth of several gatherings of mathematicians who were interested in discussing the teaching and learning of abstract algebra: two contributed paper sessions entitled Innovations in Teaching Abstract Algebra, at the 1997 and 1999 Joint Mathematics Meetings, and the NSF-UFE workshop Exploring Undergraduate Algebra and Geometry with Technology held on the DePauw University campus in June 1996. Unlike other books and materials that demonstrate one particular software package or pedagogical technique, this volume gives the reader an introduction to a wide range of ideas that have been used to teach abstract algebra over the past decade. The articles that appear here were chosen for several different purposes: to disseminate various technological innovations, to detail methods of teaching abstract algebra that engage students, and to share more general reflections on teaching an abstract algebra course. There is something of interest to stimulate anyone who teaches abstract algebra, whether a seasoned veteran or a relative newcomer. Choose a few ideas and try them out! A classroom that is active and shows students how creative and dynamic mathematics can be is an excellent learning environment.

Since many of the articles rely on colored diagrams, have downloadable materials, or are best read while using some particular software, the editors have created a website that accompanies the volume.

Read More

Product Details

ISBN-13:
9780883851715
Publisher:
Mathematical Association of America
Publication date:
01/28/2001
Series:
Maa Notes Ser.
Pages:
136
Product dimensions:
8.40(w) x 10.90(h) x 0.40(d)

Related Subjects

Table of Contents

Preface
I.  Engaging Student 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 Student to Abstraction; Paul Fjelstad
Using Geometry to Teach 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 Keppelman 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 Class; 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 Traingle: A Tool for Varnishing Abstract Algebra; Michael J. Budzell and Kathleen M. Shannon
Developing a Student Project in Abstract Algebra: The Lights Out Problem; John Wilson
Leaning Permutation Group Theory via Puzzles; John O. Kiltenen
Ringing the Changes: An Aural Permutation Group; Lucy Dechene
Appendix
Internet Resources for this Volume
About the Authors
Index

Read More

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >