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Fukawa-Connelly, Timothy – International Journal of Mathematical Education in Science and Technology, 2014
This paper provides a method for analysing undergraduate teaching of proof-based courses using Toulmin's model (1969) of argumentation. It presents a case study of one instructor's presentation of proofs. The analysis shows that the instructor presents different levels of detail in different proofs; thus, the students have an inconsistent set of…
Descriptors: College Mathematics, Undergraduate Study, Case Studies, Mathematics Instruction
Weber, Keith; Mejia-Ramos, Juan Pablo – International Journal of Mathematical Education in Science and Technology, 2014
We argue that mathematics majors learn little from the proofs they read in their advanced mathematics courses because these students and their teachers have different perceptions about students' responsibilities when reading a mathematical proof. We used observations from a qualitative study where 28 undergraduates were observed evaluating…
Descriptors: Majors (Students), Mathematics Instruction, College Mathematics, Undergraduate Students