Institutional and personal meanings of mathematical proof

By Angel M. Recio, J. Godino. 2001

121 citations recorded by the source corpus.

Subfields: Education, Statistics and Probability, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/808c8b642c5cefbfb4df31e29b74d9a5daf5694e

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Citations in the corpus

The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks (2014, background): “Research on Students’ Reasoning-and-Proving For decades, students have had difficulty producing written proofs at both the secondary (Bell, 1976; Healy & Hoyles, 2000; Martin & Kelly, 1998; Porteous, 1990; Senk, 1985; TIMSS, 1998) and university (Recio & Godino, 2001; Weber, 2001) levels.”
Self-explanation training improves proof comprehension (2014, background): “Renkl (2002) argued that self-explanations are often faulty or otherwise inadequate and developed an approach in which the learner does as much self-explanation as possible but also has access to additional instructional explanations.”
How Mathematicians Obtain Conviction: Implications for Mathematics Instruction and Research on Epistemic Cognition (2014, background): “Recio and Godino (2001) found a similar result at the university level.”
Mathematics Majors' Perceptions of Conviction, Validity, and Proof (2010, background): “At the university level, Recio and Godino (2001) asked more than 400 first-year students to prove a statement from algebra and geometry and found that roughly 40% of the responses for these tasks were empirical.”
Deficit or Difference? the Role of Students' Epistemologies of Mathematics in their Interactions with Proof (2006, unknown): “Mis-match between expert and student perceptions of the nature and role of proof, authority and certainty in mathematics are detailed further by a number of researchers (Dreyfus, 1999; Almeida, 2000; Hanna, 2000; Recio and Godino, 2001).”
Approaching Proof in a Community of Mathematical Practice (2008, background): “At the beginning of my thesis work I also conducted a pilot study with 100 university entrants inspired by the study of Hoyles (1997), Almeida (2000) and Recio & Godino (2001) about students experiences, views and proving abilities.”