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The Need for Proof and Proving: Mathematical and Pedagogical Perspectives
16 references·2 citing·34 second hop
The Need for Proof and Proving: Mathematical and Pedagogical Perspectives (2012)The Need for Proof and Proving: Mathemati…Designing Learning Environments for Developing Understanding of Geometry and Space (2012)Designing Learning Environmen…Facilitating the Transition from Empirical Arguments to Proof (2009)Facilitating the Transition f…How Mathematicians Determine if an Argument Is a Valid Proof (2008)How Mathematicians Determine …Second Handbook of Research on Mathematics Teaching and Learning. (2007)Second Handbook of Research o…Proof and Proving in School Mathematics (2007)Proof and Proving in School M…Proof, Explanation and Exploration: An Overview (2000)Proof, Explanation and Explor…A Study of Proof Conceptions in Algebra (2000)A Study of Proof Conceptions …A Proposal for Improving Classroom Teaching: Lessons from the TIMSS Video Study (2000)A Proposal for Improving Clas…Students’ proof schemes: Results from exploratory studies (1998)Students’ proof schemes: Resu…International Handbook of Mathematics Education (1997)International Handbook of Mat…Sociomathematical Norms, Argumentation, and Autonomy in Mathematics (1996)Sociomathematical Norms, Argu…Research in Collegiate Mathematics Education. I (1994)Research in Collegiate Mathem…Effective and responsible teaching: the new synthesis (1993)Effective and responsible tea…Handbook of research on mathematics teaching and learning (1992)Handbook of research on mathe…Effective and Responsible Teaching: The New Synthesis. (1992)Effective and Responsible Tea…Mathematical Knowledge: Its Growth Through Teaching (1991)Mathematical Knowledge: Its G…The role and use of examples in learning to prove (2017)The role and use of examples …Mathematicians’ Example-Related Activity when Exploring and Proving Conjectures (2016)Mathematicians’ Example-Relat…National Council of Teachers of Mathematics (1979)Designing qualitative research (1989)Qualitative evaluation and research methods (1990)Reasoning-and-Proving in School Mathematics Textbooks (2009)Expert and Novice Approaches to Reading Mathematical Proofs (2012)Mathematical explanation (1978)The Scholarship of Teaching and Learning In and Across the Disciplines (2012)Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language (2017)Cognition in Practice (1988)Comparative Studies on U.S. and Chinese Mathematics Learning and the Implications for Standards-Based Mathematics Teaching Reform (2005)Does Eighth-Grade Mathematics Teaching in the United States Align With the NCTM Standards? Results From the TIMSS 1995 and 1999 Video Studies (2006)Selecting Video Clips to Promote Mathematics Teachers' Discussion of Student Thinking (2009)The New Meaning of Educational Change (2010)To Understand Is to Invent (1973)Deliberative Discourse Idealized and Realized: Accountable Talk in the Classroom and in Civic Life (2007)Mathematics teachers’ “learning to notice” in the context of a video club (2007)Effects of Video Club Participation on Teachers' Professional Vision (2008)Explorations of Students' Mathematical Beliefs and Behavior (1989)Secondary School Mathematics Teachers' Conceptions of Proof (2002)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)Young Children's Concepts of Shape (1999)Providing a Foundation for Deductive Reasoning: Students' Interpretations when Using Dynamic Geometry Software and Their Evolving Mathematical Explanations (2000)Cur r iculum Resear ch : Tow ar d a Fr amew or k for "Resear ch -based Cur r icula" (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)Examining Key Concepts in Research on Teachers’ Use of Mathematics Curricula (2005)Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study (2008)Professional Noticing of Children's Mathematical Thinking (2010)Student difficulty in constructing proofs: The need for strategic knowledge (2001)Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem? (2003)Modelling mathematical argumentation: the importance of qualification (2007)Teaching Mathematics in Seven Countries: Results From the TIMSS 1999 Video Study (2003)The onto-semiotic approach to research in mathematics education (2007)
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References

  • 1992Handbook of research on mathematics teaching and learning6,121 cited
  • 2007Second Handbook of Research on Mathematics Teaching and Learning.3,091 cited
  • 1996Sociomathematical Norms, Argumentation, and Autonomy in Mathematics1,869 cited
  • 1997International Handbook of Mathematics Education1,316 cited
  • 1998Students’ proof schemes: Results from exploratory studies515 cited
  • 2000A Study of Proof Conceptions in Algebra474 cited
  • 2000Proof, Explanation and Exploration: An Overview427 cited
  • 2007Proof and Proving in School Mathematics341 cited
  • 2012Designing Learning Environments for Developing Understanding of Geometry and Space318 cited
  • 2000A Proposal for Improving Classroom Teaching: Lessons from the TIMSS Video Study269 cited
  • 1993Effective and responsible teaching: the new synthesis250 cited
  • 1994Research in Collegiate Mathematics Education. I246 cited
  • 2009Facilitating the Transition from Empirical Arguments to Proof197 cited
  • 2008How Mathematicians Determine if an Argument Is a Valid Proof170 cited
  • 1992Effective and Responsible Teaching: The New Synthesis.150 cited

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1991
Mathematical Knowledge: Its Growth Through Teaching
148 cited

Cited by

  • 2016Mathematicians’ Example-Related Activity when Exploring and Proving Conjectures49 cited
  • 2017The role and use of examples in learning to prove46 cited