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Challenges to the Importance of Proof.
6 references·9 citing·38 second hop
Challenges to the Importance of Proof. (1995)Challenges to the Importance of Proof.Proving is convincing and explaining (1993)Proving is convincing and exp…Handbook of research on mathematics teaching and learning (1992)Handbook of research on mathe…Some pedagogical aspects of proof (1990)Some pedagogical aspects of p…The Tension Between Theories of Learning and Instruction in Mathematics Education (1988)The Tension Between Theories …IMRE LAKATOS'S PHILOSOPHY OF SCIENCE (1979)IMRE LAKATOS'S PHILOSOPHY OF …Mathematics, Science and Epistemology (1978)Mathematics, Science and Epis…The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks (2014)The Mathematical Nature of Re…Designing to develop disciplinary dispositions: Modeling natural systems. (2009)Designing to develop discipli…How Mathematicians Determine if an Argument Is a Valid Proof (2008)How Mathematicians Determine …Proving and Doing Proofs in High School Geometry Classes: What Is It That Is Going On for Students? (2006)Proving and Doing Proofs in H…Proofs through Exploration in Dynamic Geometry Environments (2004)Proofs through Exploration in…Students' understandings of logical implication (2002)Students' understandings of l…The role of contradiction and uncertainty in promoting the need to prove in Dynamic Geometry environments (2000)The role of contradiction and…Why Johnny Can't Prove (1999)Why Johnny Can't ProveWhy Johnny Can’t Prove (1999)Why Johnny Can’t ProveStudents’ proof schemes: Results from exploratory studies (1998)The Hidden Role of Diagrams in Students’ Construction of Meaning in Geometry (2005)From visual reasoning to logical necessity through argumentative design (2011)The effect of inquiry-based explorations in a dynamic geometry environment on sixth grade students’ achievements in polygons (2011)A Place Called School. Prospects for the Future. (1984)Human constructivism: A unification of psychological and epistemological phenomena in meaning making (1993)The beliefs/practice connection in broadly defined contexts (2005)Connecting theories in mathematics education: challenges and possibilities (2008)Mathematical explanation (1978)Providing a Foundation for Deductive Reasoning: Students' Interpretations when Using Dynamic Geometry Software and Their Evolving Mathematical Explanations (2000)Semantic and Syntactic Proof Productions (2004)Qualitative evaluation and research methods (1990)Handbook of Qualitative Research (1994)Teaching Geometry With Problems: Negotiating Instructional Situations and Mathematical Tasks (2006)Studying the Practical Rationality of Mathematics Teaching: What Goes Into “Installing” a Theorem in Geometry? (2011)Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms (2012)Distinction: A Social Critique of the Judgement of Taste* (2018)National Council of Teachers of Mathematics (1979)Basics of Qualitative Research: Grounded Theory Procedures and Techniques. (1992)Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers) (1995)The Effect of Authority on the Persuasiveness of Mathematical Arguments (2008)Mathematics Majors' Perceptions of Conviction, Validity, and Proof (2010)Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey (2016)When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching (1990)Sociomathematical Norms, Argumentation, and Autonomy in Mathematics (1996)The student experience of mathematical proof at university level (2000)Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language (2017)Postmodernism and the Social Sciences (1992)Teachers’ Beliefs and Conceptions: A Synthesis of the Research (2006)Developmental Psychology: Philosophy, Concepts, Methodology (2007)Misconceptions Reconceived: A Constructivist Analysis of Knowledge in Transition (1994)What Do New Views of Knowledge and Thinking Have to Say About Research on Teacher Learning? (2000)Teachers’ Mathematical Knowledge, Cognitive Activation in the Classroom, and Student Progress (2009)Unpacking the logic of mathematical statements (1995)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)Second Thoughts on Lakatos (1985)The Ongoing Value of Proof (1997)Relevance Theory (2013)
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References

  • 1992Handbook of research on mathematics teaching and learning6,121 cited
  • 1978Mathematics, Science and Epistemology413 cited
  • 1990Some pedagogical aspects of proof296 cited
  • 1993Proving is convincing and explaining271 cited
  • 1988The Tension Between Theories of Learning and Instruction in Mathematics Education264 cited
  • 1979IMRE LAKATOS'S PHILOSOPHY OF SCIENCE106 cited

Cited by

  • 2008How Mathematicians Determine if an Argument Is a Valid Proof170 cited
  • 1999Why Johnny Can’t Prove138 cited
  • 2000The role of contradiction and uncertainty in promoting the need to prove in Dynamic Geometry environments134 cited
  • 2006Proving and Doing Proofs in High School Geometry Classes: What Is It That Is Going On for Students?129 cited
  • 2002Students' understandings of logical implication106 cited
  • 1999Why Johnny Can't Prove90 cited
  • 2004Proofs through Exploration in Dynamic Geometry Environments82 cited
  • 2009Designing to develop disciplinary dispositions: Modeling natural systems.76 cited
  • 2014The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks71 cited

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