Physical Sciences and Mathematics Commons^™

College Mathematics Students' Peceptions Of "Believing" Teacher Actions, Shelly Sheats Harkness, Bethany A. Noblitt

Journal of Humanistic Mathematics

Believing and doubting – two methodological processes – deserve equal attention according to Elbow (1986; 2006). When a teacher plays the doubting game in a mathematics classroom her own mathematical thinking dominates and she attempts to find flaws and errors and misconceptions in students’ mathematical thinking. When a teacher plays the believing game in a mathematics classroom she surrenders her own mathematical thinking and she attempts to find virtues and strengths and merits in students’ mathematical thinking. Paradoxically and succinctly, a teacher must believe her own mathematical thinking in order to doubt and a teacher must doubt her own mathematical …