The primary objective of this project is to document the different ways that students approach the task of proving and to see how these approaches correlate with mathematical achievement.
The specific goal for this research project is to design an instrument that can measure students’ reasoning propensities when constructing proofs and then to use this instrument to answer the following questions:
- To what extent do undergraduate mathematics majors show a consistency in their reasoning on proof production tasks?
- What is the distribution of students according to the extent to which they employ these strategies when attempting to construct a proof of a given statement?
- What is the relationship between undergraduates’ reasoning styles and their general mathematical ability, their general thinking style, and their academic success?