Three experiments are reported which investigate the extent to which an authority figure influences the level of persuasion undergraduate students and research-active mathematicians invest inâ€¦ (More)

In this article, we report a study in which 109 research-active mathematicians were asked to judge the validity of a purported proof in undergraduate calculus. Significant results from our study wereâ€¦ (More)

This paper presents a long-term framework for the development of mathematical thinking from the thought processes of early childhood to the formal structures of formal mathematics and proof. It seesâ€¦ (More)

Several recent studies have suggested that there are two different ways in which a person can proceed when assessing the persuasiveness of a mathematical argument: by evaluating whether it isâ€¦ (More)

In a recent article, Inglis and Alcock (2012) contended that their data challenge the claim that when mathematicians validate proofs, they initially skim a proof to grasp its main idea prior toâ€¦ (More)