Computer Applications in Teaching Abstract Algebra
Muzaffer OKUR, Ramazan DİKİCİ, Vehbi Aytekin SANALAN, Enver TATAR

Abstract

Many mathematical concepts are abstract and learning these concepts requires advanced level cognitive activity. As a result, conceptual learning of this kind is complicated and requires more student effort. It is increasingly possible to demonstrate and explain many of the abstract concepts with proper computer technology. Through the use of computer software many of the abstract concepts become easier for students to grasp. Computers can be powerful aids for the teaching and learning of mathematics when the appropriate software is used. In this study, various software packages (GAP, ISETL, ESG, FGB, etc.) are evaluated based upon their applicability to teaching and learning mathematics, especially abstract algebra. Additionally, this paper considers the use of the computer software Finite Group Behavior (FGB) in teaching an introductory group theory course at the university level. FGB is discussed in detail and some concrete examples are presented for learners and educators.

Full Text: PDF