Thinking mathematically: The connection between two games of "Nim"

Although many people dismiss games as purely recreational in nature, evidence from psychological studies shows that games offer significant opportunities for students to learn and develop their problem-solving ability (Bright et al., 1985; Peters, 1998). Studies in the extant literature have found that games provide a problem-solving context that supports and enhances student involvement in lessons, synthesizes their ideas and knowledge, and arouses and develops their curiosity and creativity (Carlson 1969). The use of games and puzzles in the teaching of mathematics, especially in the area of problem solving, has increased dramatically. The use of games in teaching and learning has also been emphasized in mathematics curricula, for example in Hong Kong, particularly in primary schools (HKG, 2000, 2007). Copyright © 2011 Association for Mathematics Education of South Africa.