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How Mathematicians Determine if an Argument Is a Valid Proof
16 references·12 citing·29 second hop
How Mathematicians Determine if an Argument Is a Valid Proof (2008)How Mathematicians Determine if an Argume…Proof and Proving in School Mathematics (2007)Proof and Proving in School M…Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course (2004)Traditional instruction in ad…Semantic and Syntactic Proof Productions (2004)Semantic and Syntactic Proof …Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education (2003)Mathematical Proficiency for …Secondary School Mathematics Teachers' Conceptions of Proof (2002)Secondary School Mathematics …Student difficulty in constructing proofs: The need for strategic knowledge (2001)Student difficulty in constru…Unpacking the logic of mathematical statements (1995)Unpacking the logic of mathem…Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers) (1995)Advanced Mathematical Thinkin…Research in Collegiate Mathematics Education. I (1994)Research in Collegiate Mathem…Making the transition to formal proof (1994)Making the transition to form…Proving is convincing and explaining (1993)Proving is convincing and exp…Basics of Qualitative Research: Grounded Theory Procedures and Techniques. (1992)Basics of Qualitative Researc…Some pedagogical aspects of proof (1990)Some pedagogical aspects of p…Proof Frames of Preservice Elementary Teachers (1989)Proof Frames of Preservice El…National Council of Teachers of Mathematics (1979)National Council of Teachers …Mathematics, Science and Epistemology (1978)Mathematics, Science and Epis…Research-based interventions in the area of proof: the past, the present, and the future (2017)Research-based interventions …On the Nature and Role of Peer Review in Mathematics (2016)On the Nature and Role of Pee…Mathematicians’ Example-Related Activity when Exploring and Proving Conjectures (2016)Mathematicians’ Example-Relat…Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey (2016)Lectures in Advanced Mathemat…Reading mathematics for understanding—From novice to expert (2014)Reading mathematics for under…Validating proofs and counterexamples across content domains: Practices of importance for mathematics majors (2012)Validating proofs and counter…The Need for Proof and Proving: Mathematical and Pedagogical Perspectives (2012)The Need for Proof and Provin…Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms (2012)Justification as a teaching a…Mathematicians’ perspectives on their pedagogical practice with respect to proof (2011)Mathematicians’ perspectives …Mathematics Majors' Perceptions of Conviction, Validity, and Proof (2010)Mathematics Majors' Perceptio…The Effect of Authority on the Persuasiveness of Mathematical Arguments (2008)The Effect of Authority on th…Doctoral students’ use of examples in evaluating and proving conjectures (2008)Doctoral students’ use of exa…Designing qualitative research (1989)Qualitative evaluation and research methods (1990)Facilitating the Transition from Empirical Arguments to Proof (2009)Reasoning-and-Proving in School Mathematics Textbooks (2009)Expert and Novice Approaches to Reading Mathematical Proofs (2012)Protocol Analysis: Verbal Reports as Data (1986)Students’ proof schemes: Results from exploratory studies (1998)Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)The Discovery of Grounded Theory (2017)The Discovery of Grounded Theory (2017)The making of a teacher: teacher knowledge and teacher education (1991)Ethnographic Interview (2017)Images of rate and operational understanding of the fundamental theorem of calculus (1994)Reflective Discourse and Collective Reflection (1997)APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research (2005)Postmodernism and the Social Sciences (1992)Teachers’ Beliefs and Conceptions: A Synthesis of the Research (2006)Developmental Psychology: Philosophy, Concepts, Methodology (2007)Competing paradigms in qualitative research. (1994)Qualitative Content Analysis (2008)Document Analysis as a Qualitative Research Method (2009)The Development of the Idea of Mathematical Proof: A 5-Year Case Study (1996)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)What Do New Views of Knowledge and Thinking Have to Say About Research on Teacher Learning? (2000)What Makes Professional Development Effective? Results From a National Sample of Teachers (2001)Scaffolding and Achievement in Problem-Based and Inquiry Learning: A Response to Kirschner, Sweller, and Clark (2006) (2007)Arithmetic and Algebra in Early Mathematics Education (2006)Researching Race in Mathematics Education (2009)Using Designed Instructional Activities to Enable Novices to Manage Ambitious Mathematics Teaching (2009)
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References

  • 1992Basics of Qualitative Research: Grounded Theory Procedures and Techniques.29,249 cited
  • 1979National Council of Teachers of Mathematics8,499 cited
  • 1995Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers)763 cited
  • 1994Making the transition to formal proof468 cited
  • 1978Mathematics, Science and Epistemology413 cited
  • 2001Student difficulty in constructing proofs: The need for strategic knowledge405 cited
  • 2002Secondary School Mathematics Teachers' Conceptions of Proof350 cited
  • 2007Proof and Proving in School Mathematics341 cited
  • 2003Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education322 cited
  • 1989Proof Frames of Preservice Elementary Teachers298 cited
  • 1990Some pedagogical aspects of proof296 cited
  • 1993Proving is convincing and explaining271 cited
  • 2004Semantic and Syntactic Proof Productions268 cited
  • 2004Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course249 cited
  • 1995Unpacking the logic of mathematical statements

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247 cited
  • 1994Research in Collegiate Mathematics Education. I246 cited
  • Cited by

    • 2010Mathematics Majors' Perceptions of Conviction, Validity, and Proof136 cited
    • 2008The Effect of Authority on the Persuasiveness of Mathematical Arguments94 cited
    • 2016Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey93 cited
    • 2008Doctoral students’ use of examples in evaluating and proving conjectures91 cited
    • 2012Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms87 cited
    • 2011Mathematicians’ perspectives on their pedagogical practice with respect to proof71 cited
    • 2017Research-based interventions in the area of proof: the past, the present, and the future67 cited
    • 2012Validating proofs and counterexamples across content domains: Practices of importance for mathematics majors63 cited
    • 2014Reading mathematics for understanding—From novice to expert54 cited
    • 2012The Need for Proof and Proving: Mathematical and Pedagogical Perspectives50 cited
    • 2016Mathematicians’ Example-Related Activity when Exploring and Proving Conjectures49 cited
    • 2016On the Nature and Role of Peer Review in Mathematics29 cited