Mathematical Proof and Proving

Catalog description

The course focuses on significant aspects & perspectives of mathematical proof & proving, e.g.: The need for proof; Various types of mathematical proofs & their logical foundation; Communicating & presenting proofs coherently & flawlessly; Visual proofs; Alternative ways of proving a given statement; Mathematical fallacies. Lessons will be structured around activities that engage students in constructing formal proofs, searching for multiple ways of proving various mathematical statements, evaluating each others' proofs, attending to visual entailments, & detecting flaws in mathematical fallacies.