PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2018
San Diego, California
Schema Development in an Introductory Topology Proof
Page: 1041
This is an exploratory study into schema development of introductory topology students. We discuss Skemp (1987) and Dubinsky and McDonald’s (2001) definitions of schema and how they fit with Piaget and Garcia’s (1989) triad framework. We employed these theoretical instances on the idea of schema to analyze students’ responses to a final exam problem about a basis for the product topology on a product space. Our analysis indicates that the majority of the students were still in the beginning stages of schema development by the end of the semester in a topology course.