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Proof, Explanation and Exploration: An Overview
1 references·16 citing·49 second hop
Proof, Explanation and Exploration: An Overview (2000)Proof, Explanation and Exploration: An Ov…Mathematical explanation (1978)Mathematical explanationGrounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language (2017)Grounded and embodied mathema…A framework for primary teachers’ perceptions of mathematical reasoning (2015)A framework for primary teach…The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks (2014)The Mathematical Nature of Re…The Scholarship of Teaching and Learning In and Across the Disciplines (2012)The Scholarship of Teaching a…Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms (2012)Justification as a teaching a…Examining the Role of Logic in Teaching Proof (2012)Examining the Role of Logic i…Pedagogical content beliefs: global, content domain-related and situation-specific components (2011)Pedagogical content beliefs: …Bridging Knowing and Proving in Mathematics: A Didactical Perspective (2009)Bridging Knowing and Proving …Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning (2008)Proof in School Mathematics: …A method for revealing structures of argumentations in classroom proving processes (2008)A method for revealing struct…Proof and Proving in School Mathematics (2007)Proof and Proving in School M…Preservice teachers’ knowledge of proof by mathematical induction (2007)Preservice teachers’ knowledg…Dragging as a conceptual tool in dynamic geometry environments (2006)Dragging as a conceptual tool…The Interplay of Teacher and Student Actions in the Teaching and Learning of Geometric Proof (2005)The Interplay of Teacher and …Proofs through Exploration in Dynamic Geometry Environments (2004)Proofs through Exploration in…Students' understandings of logical implication (2002)Students' understandings of l…National Council of Teachers of Mathematics (1979)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)High school geometry students' justification for their views of empirical evidence and mathematical proof (1993)Proving is convincing and explaining (1993)Secondary School Mathematics Teachers' Conceptions of Proof (2002)The effect of inquiry-based explorations in a dynamic geometry environment on sixth grade students’ achievements in polygons (2011)Technology and the Role of Proof: The Case of Dynamic Geometry (2012)The Semiotic Structure of Geometry Diagrams: How Textbook Diagrams Convey Meaning (2015)On the Failure to Eliminate Hypotheses in a Conceptual Task (1960)Sociomathematical Norms, Argumentation, and Autonomy in Mathematics (1996)The Uses of Argument (2003)Which notion of implication is the right one? From logical considerations to a didactic perspective (2003)Undergraduate students' understanding of the contraposition equivalence rule in symbolic and verbal contexts (2004)Reasoning-and-proving opportunities in elementary mathematics textbooks (2013)Mind in Society: The Development of Higher Psychological Processes (1978)Teaching as the Learning Profession : Handbook of Policy and Practice (1999)Qualitative Data Analysis (2008)Students’ perceived sociomathematical norms: The missing paradigm (2009)The Discovery of Grounded Theory; Strategies for Qualitative Research (1968)The Discovery of Grounded Theory: Strategies for Qualitative Research. (1968)The conceptualisation of mathematics competencies in the international teacher education study TEDS-M (2012)The Conceptualisation of Mathematics Competencies in the International Teacher Education Study TEDS-M (2013)Identifying Kinds of Reasoning in Collective Argumentation (2014)Case Study Research: Design and Methods (1984)Case Study Research: Design and Methods (1991)Situated Learning: Legitimate Peripheral Participation. (1994)What do we know about reasoning and proving? Opportunities and missing opportunities from curriculum analyses (2013)Mathematics teachers' attention to potential classroom situations of argumentation (2017)Elementary school teachers’ noticing of essential mathematical reasoning forms: justification and generalization (2018)Those Who Understand: Knowledge Growth in Teaching (1986)Qualitative evaluation and research methods (1990)Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions (2009)Focus Groups as Qualitative Research (1997)Conceptualizing and Communicating SoTL: A Framework for the Field (2015)Academic development, SoTL and educational research (2016)The Discovery of Grounded Theory (2017)Tracking the scholarship of teaching and learning (2017)Hand and mind: what gestures reveal about thought (1993)Thinking, Fast and Slow (2011)Collaborative gesture as a case of extended mathematical cognition (2019)Embodied Learning Environments for Graphing Motion: a Systematic Literature Review (2019)Comparing Multiple Theories about Learning with Physical and Virtual Representations: Conflicting or Complementary Effects? (2020)Some pedagogical aspects of proof (1990)Beyond the Limits of Thought (2002)Explanatory Generalizations, Part II: Plumbing Explanatory Depth (2003)
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References

  • 1978Mathematical explanation302 cited

Cited by

  • 2007Proof and Proving in School Mathematics341 cited
  • 2017Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language119 cited
  • 2012The Scholarship of Teaching and Learning In and Across the Disciplines117 cited
  • 2008A method for revealing structures of argumentations in classroom proving processes112 cited
  • 2007Preservice teachers’ knowledge of proof by mathematical induction112 cited
  • 2002Students' understandings of logical implication106 cited
  • 2005The Interplay of Teacher and Student Actions in the Teaching and Learning of Geometric Proof88 cited
  • 2012Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms87 cited
  • 2004Proofs through Exploration in Dynamic Geometry Environments82 cited
  • 2009Bridging Knowing and Proving in Mathematics: A Didactical Perspective71 cited
  • 2014The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks71 cited
  • 2008Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning69 cited
  • 2012Examining the Role of Logic in Teaching Proof69 cited

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  • 2015A framework for primary teachers’ perceptions of mathematical reasoning67 cited
  • 2006Dragging as a conceptual tool in dynamic geometry environments61 cited
  • 2011Pedagogical content beliefs: global, content domain-related and situation-specific components60 cited