RUME 26
2024
Omaha, Nebraska
Proof Writing and Comprehension in Topology
Page: 1438
Constructing proofs and working with formal mathematics is an important feature of studying advanced mathematics courses. Topology is a particular subject whose proofs typically demand both formal and spatial perception. As the ability to transition across various modes and levels of thinking seems imperative in topology, a model that can help describe both the form and depth of thought would be of great value. We seek to develop such a model by networking Tall’s three worlds of mathematical thinking and APOS theory.