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.

PDF) Comprehension contradicts to the induction within Łukasiewicz predicate logic

Total: 1 Average: 5/5] Indirect Proof (Proof by Contradiction) When trying to prove a statement is true, i…

Synchronicity: An Acausal Connecting Principle. (From Vol. 8. of the Collected Works of C. G. Jung) (Jung Extracts, 30): 9780691150505: Jung, C. G., Hull, R. F.C., Shamdasani, Sonu, Shamdasani, Sonu: Books

Investigating the Development of Proof Comprehension: The Case of Proof by Contradiction

PDF) Why is proof by contradiction difficult?

Journal of Mathematical Logic

PDF) Non-examples and proof by contradiction

A Comparison of Proof Comprehension, PDF, Mathematical Proof

PDF) A comparison of proof comprehension, proof construction, proof validation and proof evaluation, Extended Abstract for KHDM Conference, Hanover, Germany, December 1-4, 2015.

Mathematical Rigour and Informal Proof

A model of reading comprehension of geometry proof