Proof schemes and learning strategies of above-average mathematics students

By D. Housman, Mary K. Porter. 2003

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A model of reading comprehension of geometry proof (2008, background): “To study the understanding of proof, some researchers have explored students’ proof schemes (Harel and Sowder 1998; Housman and Porter 2003) or surveyed students’ understanding of proofs (Healy and Hoyles 2000).”
What Do We Mean by Mathematical Proof (2011, methodology): “This framework of proof schemes has been influential in mathematics education research and has been used, at least to some extent, in several studies (see, for instance, [25, 33, 45, 66]).”
How Mathematicians Obtain Conviction: Implications for Mathematics Instruction and Research on Epistemic Cognition (2014, background): “Notably, Hanna (1991) claimed the reputation of an author influenced whether a proof of a mathematical theorem was accepted, and Housman and Porter (2003) claimed that mathematicians sometimes use an authoritarian proof scheme in areas outside of their expertise.”
Cognitive Development of Proof (2011, background): “Byrne and Johnson-Laird (1989) studied adults responding to tasks in which they were given verbal evidence of relative positions of objects placed on a table and found that the subjects used visual mental models rather than a pure logical approach to produce their deductions.”