Theo’s reinvention of the logic off conditional statements’ proofs rooted in set-based reasoning
Summary: In this talk, I will share how one undergraduate student used set-based reasoning to reinvent logical principles related to conditional statements and their proofs. This learning occurred in a teaching experiment intended to foster abstraction of these logical relationships by comparing the predicate and inference structures among various proofs (in number theory and geometry). I will portray the progression of Theo’s set-based model from a model-of the truth of statements to a model-for logical relationships. I will connect this to our ongoing design efforts for teaching logic for proving.
Duration: 60 minutes
Format: Online seminar via Zoom web meeting software with questions and discussion. Detailed instructions for joining the seminar will be emailed to registered participants.
Dr. Paul Dawkins is an associate professor of mathematics education in the Department of Mathematics at Texas State University. He studies the teaching and learning of proof-based mathematics at the undergraduate level. He focuses particularly on real analysis, geometry, and logic. His teaching experiments focus on modeling student thinking about mathematical proofs and developing teaching sequences and learning trajectories by which students can learn the epistemology of mathematical proving. He recently received the Selden Award for research in undergraduate mathematics education from the Mathematics Association of America.