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Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course
9 references·14 citing·34 second hop
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this work references cited by second hop

References

  • 1992Basics of Qualitative Research: Grounded Theory Procedures and Techniques.29,249 cited
  • 1987Qualitative Analysis for Social Scientists12,237 cited
  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity1,880 cited
  • 2002Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being1,444 cited
  • 1995Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers)763 cited
  • 2001Student difficulty in constructing proofs: The need for strategic knowledge405 cited
  • 2005APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research378 cited
  • 1996Understanding the limit concept: Beginning with a coordinated process scheme351 cited
  • 2004Semantic and Syntactic Proof Productions268 cited

Cited by

  • 2012Expert and Novice Approaches to Reading Mathematical Proofs212 cited
  • 2008How Mathematicians Determine if an Argument Is a Valid Proof170 cited
  • 2013Self-Explanation Training Improves Proof Comprehension155 cited
  • 2010Collegiate mathematics teaching: An unexamined practice143 cited
  • 2010Mathematics Majors' Perceptions of Conviction, Validity, and Proof136 cited

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  • 2005Proof validation in real analysis: Inferring and checking warrants113 cited
  • 2005Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction100 cited
  • 2017The video lecture95 cited
  • 2016Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey93 cited
  • 2011Mathematicians’ perspectives on their pedagogical practice with respect to proof71 cited
  • 2010Mathematicians’ perspectives on the teaching and learning of proof70 cited
  • 2019Relationships Between the Knowledge of Practices in Mathematics and the Pedagogical Content Knowledge of a Mathematics Lecturer68 cited
  • 2006A THEORY OF MATHEMATICAL GROWTH THROUGH EMBODIMENT, SYMBOLISM AND PROOF68 cited
  • 2012A case study of one instructor’s lecture-based teaching of proof in abstract algebra: making sense of her pedagogical moves65 cited