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Proof and Proving in School Mathematics
16 references·16 citing·34 second hopsampled
Proof and Proving in School Mathematics (2007)Proof and Proving in School MathematicsLearning Trajectories in Mathematics Education (2004)Learning Trajectories in Math…Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School (2003)Thinking Mathematically: Inte…Proof, Explanation and Exploration: An Overview (2000)Proof, Explanation and Explor…A Study of Proof Conceptions in Algebra (2000)A Study of Proof Conceptions …Designing qualitative research, 3rd ed. (1999)Designing qualitative researc…Sociomathematical Norms, Argumentation, and Autonomy in Mathematics (1996)Sociomathematical Norms, Argu…Making the transition to formal proof (1994)Making the transition to form…With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics (1993)With an Eye on the Mathematic…A Constructivist Alternative to the Representational View of Mind in Mathematics Education (1992)A Constructivist Alternative …When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching (1990)When the Problem Is Not the Q…Qualitative evaluation and research methods (1990)Qualitative evaluation and re…Designing qualitative research (1989)Designing qualitative researchNational Council of Teachers of Mathematics (1979)National Council of Teachers …Mathematics as an Educational Task (1972)Mathematics as an Educational…The Process of Education (1960)The Process of EducationThe child and the curriculum (1902)The child and the curriculumGrounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language (2017)Grounded and embodied mathema…Enhancing students’ mathematical reasoning in the classroom: teacher actions facilitating generalization and justification (2017)Enhancing students’ mathemati…Proof and Argumentation in Mathematics Education Research (2016)Proof and Argumentation in Ma…Reasoning-and-proving opportunities in elementary mathematics textbooks (2013)Reasoning-and-proving opportu…Procedural and Conceptual Knowledge: Exploring the Gap Between Knowledge Type and Knowledge Quality (2013)Procedural and Conceptual Kno…Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms (2012)Justification as a teaching a…Expert and Novice Approaches to Reading Mathematical Proofs (2012)Expert and Novice Approaches …Enacting Proof-Related Tasks in Middle School Mathematics: Challenges and Opportunities (2010)Enacting Proof-Related Tasks …Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions (2009)Undergraduate mathematics maj…Reasoning-and-Proving in School Mathematics Textbooks (2009)Reasoning-and-Proving in Scho…Proof constructions and evaluations (2009)Proof constructions and evalu…Facilitating the Transition from Empirical Arguments to Proof (2009)Facilitating the Transition f…Understanding and describing mathematical knowledge for teaching: knowledge about proof for engaging students in the activity of proving (2008)Understanding and describing …The Effect of Authority on the Persuasiveness of Mathematical Arguments (2008)The Effect of Authority on th…Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning (2008)Proof in School Mathematics: …How Mathematicians Determine if an Argument Is a Valid Proof (2008)How Mathematicians Determine …The Interpretation of Cultures (1974)Mind in Society: The Development of Higher Psychological Processes (1978)Knowledge and Teaching:Foundations of the New Reform (1987)Building Student Capacity for Mathematical Thinking and Reasoning: An Analysis of Mathematical Tasks Used in Reform Classrooms (1996)The situativity of knowing, learning, and research. 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(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)Qualitative content analysis in nursing research: concepts, procedures and measures to achieve trustworthiness (2003)Document Analysis as a Qualitative Research Method (2009)
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References

  • 1990Qualitative evaluation and research methods24,203 cited
  • 1989Designing qualitative research9,905 cited
  • 1979National Council of Teachers of Mathematics8,499 cited
  • 1960The Process of Education6,018 cited
  • 1996Sociomathematical Norms, Argumentation, and Autonomy in Mathematics1,869 cited
  • 1902The child and the curriculum1,616 cited
  • 1999Designing qualitative research, 3rd ed.1,553 cited
  • 1990When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching1,368 cited
  • 1972Mathematics as an Educational Task1,335 cited
  • 1993With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics1,008 cited
  • 1992A Constructivist Alternative to the Representational View of Mind in Mathematics Education545 cited
  • 2004Learning Trajectories in Mathematics Education518 cited
  • 2000A Study of Proof Conceptions in Algebra474 cited
  • 1994Making the transition to formal proof468 cited
  • 2003Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School467 cited
  • 2000

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Proof, Explanation and Exploration: An Overview
427 cited

Cited by

  • 2012Expert and Novice Approaches to Reading Mathematical Proofs212 cited
  • 2009Reasoning-and-Proving in School Mathematics Textbooks209 cited
  • 2009Facilitating the Transition from Empirical Arguments to Proof197 cited
  • 2008How Mathematicians Determine if an Argument Is a Valid Proof170 cited
  • 2008Understanding and describing mathematical knowledge for teaching: knowledge about proof for engaging students in the activity of proving166 cited
  • 2017Enhancing students’ mathematical reasoning in the classroom: teacher actions facilitating generalization and justification151 cited
  • 2010Enacting Proof-Related Tasks in Middle School Mathematics: Challenges and Opportunities140 cited
  • 2009Proof constructions and evaluations129 cited
  • 2013Procedural and Conceptual Knowledge: Exploring the Gap Between Knowledge Type and Knowledge Quality129 cited
  • 2017Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language119 cited
  • 2016Proof and Argumentation in Mathematics Education Research95 cited
  • 2008The Effect of Authority on the Persuasiveness of Mathematical Arguments94 cited
  • 2012Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms87 cited
  • 2013Reasoning-and-proving opportunities in elementary mathematics textbooks87 cited
  • 2008Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning69 cited
  • 2009Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions68 cited