PROCEEDINGS OF THE 20TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2017
San Diego, California
Meritorious Citation: Set-based meanings for the truth of conditionals: A case study and a framework
Page: 31
We present a case study of Hugo’s construction of Euler diagrams to develop set-based meanings for mathematical conditionals. This episode arose in a teaching experiment guiding students to reinvent mathematical logic from their reasoning about meaningful mathematical statements. We intended for Hugo to develop a subset meaning for conditional truth. Hugo successfully identified and used this condition, but he also introduced another formally equivalent meaning for conditional truth. We discuss the shifts in his thinking necessary for developing set-based reasoning and how this case influenced our goals for logic learning.