On Similarities and Differences Between Proving and Problem Solving

Journal of Humanistic Mathematics

Savic, Milos¹ 

[1] University of Oklahoma

关键词: undergraduate mathematics education;    problem-solving;    proving;    proof construction;   

DOI  :  10.5642/jhummath.201502.06

学科分类：卫生学

来源: Cleveland Clinic Educational Foundation

【 摘 要 】

A link between proving and problem solving has been established in the literature [5, 21]. In this paper, I discuss similarities and differences between proving and problem solving using the Multidimensional Problem-Solving Framework created by Carlson and Bloom [2] with Livescribepen data from a previous study [13]. I focus on two participants’ proving processes: Dr. G, a topologist, and L, a mathematics graduate student. Many similarities between the framework and the proving processes of Dr. G and L were revealed, but there were also some differences. In addition, there were some distinct differences between the proving actions of the mathematician and that of the graduate student. This study suggests the feasibility of an expanded framework for the proving process that can encompass both the similarities and the differences found.

【 授权许可】

Unknown