PDF] Developing Proof Comprehension and Proof by Contradiction

Proof is central to the curriculum for undergraduate mathematics majors. Despite transition-toproof courses designed to facilitate the shift from computation-based mathematics to proofbased mathematics, students continue to struggle with mathematical proof. In particular, there are few tasks beyond writing proofs that are specifically designed to develop students’ understanding of the proofs they read and the proof methods they utilize. The purpose of this paper is to introduce and discuss the merits of two such tasks: constructing and comparing logical outlines of presented proofs. Grounded in APOS Theory, this paper will illustrate a case study that suggests students can improve their understanding of the proofs they read as well as a particular proof method proof by contradiction – through these two tasks.

Proof by contradiction (new A level maths)

PDF] Godel's Proof by Ernest Nagel eBook

Cognitive trajectory of proof by contradiction for transition-to-proof students - ScienceDirect

PDF) Sources of Students' Difficulties with Proof By Contradiction

A Comparison of Proof Comprehension, PDF, Mathematical Proof

Cognitive trajectory of proof by contradiction for transition-to-proof students - ScienceDirect

e-Proofs: Design of a Resource to Support Proof Comprehension in Mathematics

PDF) Chapter 17 Proof by Contradiction

A Comparison of Proof Comprehension, PDF, Mathematical Proof