Almost all finite groups encountered by undergraduates can be represented as multiplicative groups of concise block-diagonal binary matrices. Such representations provide simple examples for beginning a group theory course. More importantly, these representations provide concrete models for "abstract" concepts. We describe Maple lab…

We present an algorithm for a matrix-based Enigma-type encoder based on a variation of the Hill Cipher as an application of 2 × 2 matrices. In particular, students will use vector addition and 2 × 2 matrix multiplication by column vectors to simulate a matrix version of the German Enigma Encoding Machine as a basic example of cryptography. The…

As teachers organize classroom schedules to meet curricular demands and time constraints, they strive to seek ways to motivate and sustain student engagement in quality vocabulary instruction, enjoyable learning experiences, and interesting informational books. This article addresses these concerns and describes a vocabulary acquisition strategy…

Describes MATRIX-1, a small group activity that can be used to show interrelationships between various factors. Examples include values clarification; procedural phases; relationships among people; resource allocation; related concepts; and group decision making activities. Modifications to MATRIX-1 are discussed that allow for variations in…