Responsiveness and Affective Processes in the Interactive Construction of Understanding in Mathematics

This paper reports on important learning processes emerging during adult mathematics classes that used a teaching approach compatible with a social constructivist theory of knowing. A cyclical teaching model encouraged much discussion about the mathematical problems presented to paired groups. Whole-class student-led sharing sessions allowed students to continue their interactive constitution of meaning and solutions.Comparisons of pre- and post-course scores on attitude and belief questionnaires indicated significant increases in positive attitudes and beliefs about mathematics and about themselves doing mathematics.The overall positive changes in scores on questionnaires are explained in terms of recurrent patterns in thinking inferred from data obtained by observation, interview, and reflective comments. Changes are explained in terms of the interactive effects of affective and heuristic processing during problem solving. Affective processes precipitated students' responsiveness, modifying the immediate learning context which, in turn, influenced the students' thinking, creating a snowballing effect on learning and affect. Changes were clearly facilitated by the interaction between students and by their shared understandings.