Low-Threshold Active Teaching Methods for Mathematic Instruction

Abstract
In this article, we present a large list of low-threshold active teaching methods categorized so the instructor can efficiently access and target the deployment of conceptually based lessons. The categories include teaching strategies for lecture on large and small class sizes; student action individually, in pairs, and groups; games; interaction through homework; student questions; role play; student presentations; and brainstorming. Along with a label for each method, we provide a brief summary of meaning, how to implement, and, for many, possible ways to implement in a mathematics course. Many of the methods are an adaptation of the active teaching methods available in books [ 1–3 Angelo, T. A. and Cross, K. P. 1993. Classroom Assessment Techniques, 2nd, San Francisco, CA: Jossey-Bass. Silberman, M. 1996. Active Learning: 101 Strategies to Teach Any Subject, Boston, MA: Allyn and Bacon. VanGundy, A. 2005. 101 Activities for Teaching Creativity and Problem Solving, San Francisco, CA: Pfeiffer. ].