RUME 26
2024
Omaha, Nebraska
Teaching Proofs in a Second Linear Algebra Course: A Mathematician’s Resources, Orientations, Goals, and Continual Decision Makings
Page: 887
In this research study, we employed Schoenfeld’s (2010) theory of Resources, Orientations, and Goals (ROGs) to examine an instructor’s (and co-author’s) textbook in a second course in linear algebra. The course was proof-based and the instructor anticipated that many students would have difficulty. Having the knowledge of students’ difficulties from a first course in linear algebra they created tailored resources with many hints and pedagogical attributes for their students. The instructor’s goal was to encourage students to construct their own proofs to understand and learn the materials, hence promoting exploration, conjecturing, and proving mental mathematical actions.