An assessment model for proof comprehension in undergraduate mathematics

Keywords

Mathematical proof, Comprehension, Mathematics education, Context (archaeology), Meaning (existential)

References

• Beyond Proving and Explaining: Proofs That Justify the Use of Definitions and Axiomatic Structures and Proofs That Illustrate Technique.Keith Weber — 2002
• Proofs that Develop Insight.Keith Weber — 2010
• Comprehension tests in mathematicsJurie Conradie, John Frith — 2000
• The Geometry TutorJohn R. Anderson, C. Franklin Boyle, Gregg Yost — 1985
• Advanced Mathematical ThinkingHuw Griffiths — 1994
• Learning and teaching number theory : research in cognition and instructionS. R. Campbell, Rina Zazkis, C. Maher — 2002
• The Learning of MathematicsW. Gary Martin, Marilyn E. Strutchens, Portia C. Elliott — 2007
• Key Ideas: What are they and how can they help us understand how people view proof?Murali Raman — 2003
• Some pedagogical aspects of proofGila Hanna — 1990
• Validations of proofs considered as texts: Can undergraduates tell whether an argument proves a theorem?Annie Selden, John Selden — 2003
• Proving is convincing and explainingReuben Hersh — 1993
• The effect of using Transparent Pseudo-Proofs in Linear AlgebraAliza Malek, Nitsa Movshovitz‐Hadar — 2011
• Why and how mathematicians read proofs: an exploratory studyKeith Weber, Juan Pablo Mejía-Ramos — 2011
• Proof validation in real analysis: Inferring and checking warrantsLara Alcock, Keith Weber — 2005
• Structuring Mathematical Proofs.Uri Leron — 1983
• The Identity of Problem Solving.Joanna Mαμονα-Dοwns, Martin Downs — 2005
• Mathematicians’ perspectives on their pedagogical practice with respect to proofKeith Weber — 2012
• Proofs as bearers of mathematical knowledgeGila Hanna, Ed Barbeau — 2008
• Unpacking the logic of mathematical statementsJohn Selden, Annie Selden — 1995
• A model of reading comprehension of geometry proofKai Yang, Fou-Lai Lin — 2008

Cited by

• The width of a proofGila Hanna — 2014
• Lessons learned from an instructional intervention on proof comprehensionAron Samkoff, Keith Weber — 2015
• Evaluating novel pedagogy in higher education: a case study of e-proofsSomali Roy — 2014
• Improving proof comprehension in undergraduate mathematicsMark Hodds — 2014
• Characterizing instructor gestures in a lecture in a proof-based mathematics classAaron Weinberg, Timothy Fukawa-Connelly, Emilie Wiesner — 2015
• Investigating and improving undergraduate proof comprehensionLara Alcock, Mark Hodds, Somali Roy — 2015
• Changes in Student Proving Skills and Attitudes Following a Cooperative Learning SeminarMartha Byrne — 2014
• Self-explanation training improves proof comprehensionMark Hodds, Lara Alcock, Matthew Inglis — 2014
• A framework for example usage in proof presentationsMelissa Mills — 2014
• Classroom sociomathematical norms for proof presentation in undergraduate in abstract algebraTimothy Fukawa-Connelly — 2012
• Postsecondary Student Perceptions of Received Mathematical ProofsJohn M. Wiest — 2015
• Mathematics majors’ beliefs about proof readingKeith Weber, Juan Pablo Mejía-Ramos — 2014
• Mathematics lecturers´ views of examinations: tensions and possible resolutionsPaola Iannone, Adrian Simpson — 2015
• Prospective Teachers’ Conceptions of Proof Comprehension: Revisiting a Proof of the Pythagorean TheoremDov Zazkis, Rina Zazkis — 2016
• Providing written feedback on students’ mathematical arguments: proof validations of prospective secondary mathematics teachersSarah K. Bleiler, Denisse R. Thompson, Milé Krajčevski — 2014
• Mathematicians’ perspectives on their pedagogical practice with respect to proofKeith Weber — 2012
• A hybrid cognitive assessment based on ontology knowledge map and skillsXiuqin Zhong, Hongguang Fu, Huadong Xia — 2015
• Independent Study Workbooks for Proofs in Group TheoryLara Alcock, Gavin Brown, Clare Dunning — 2015
• The ability to reject invalid logical inferences predicts proof comprehension and mathematics performanceLara Alcock, Toby Bailey, Matthew Inglis — 2014
• COMPREHENDING STRUCTURED PROOFSLourdes María Werle de Almeida, Emerson Tortola — 2015

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