Problem solving in small groups

Abstract

In order to learn problem solving, students must solve many problems. Cooperative problem solving in small groups is helpful both to students and to the instructor. When this approach is used, the class is divided into groups with four or five members apiece. Using whatever cooperative methods the group chooses, each group produces a proof, a solution to a challenging problem or puzzle, or the solutions to a set of problems, either in or out of class. When all members of a group have agreed that it is correct, a single written paper is submitted to the instructor. Students in my abstract algebra, logic, and number theory classes, who spent a semester doing group problem solving, were particularly appreciative of the opportunity they had to discover new strategies, solutions, and perspectives from their peers. Students in my elementary classes in calculus and college algebra and trigonometry reviewed their homework assignments in small groups. They were exceptionally positive in evaluating their group expe...