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Student difficulty in constructing proofs: The need for strategic knowledge
3 references·16 citing·35 second hop
Student difficulty in constructing proofs: The need for strategic knowledge (2001)Student difficulty in constructing proofs…Students’ proof schemes: Results from exploratory studies (1998)Students’ proof schemes: Resu…Making the transition to formal proof (1994)Making the transition to form…Protocol Analysis: Verbal Reports as Data (1986)Protocol Analysis: Verbal Rep…Proof and Argumentation in Mathematics Education Research (2016)Proof and Argumentation in Ma…The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks (2014)The Mathematical Nature of Re…Identifying Kinds of Reasoning in Collective Argumentation (2014)Identifying Kinds of Reasonin…A local instructional theory for the guided reinvention of the group and isomorphism concepts (2013)A local instructional theory …Transitions and Proof and Proving at Tertiary Level (2012)Transitions and Proof and Pro…The Scholarship of Teaching and Learning In and Across the Disciplines (2012)The Scholarship of Teaching a…Opportunities to Learn Reasoning and Proof in High School Mathematics Textbooks (2012)Opportunities to Learn Reason…Expert and Novice Approaches to Reading Mathematical Proofs (2012)Expert and Novice Approaches …Mathematics Majors' Perceptions of Conviction, Validity, and Proof (2010)Mathematics Majors' Perceptio…Enacting Proof-Related Tasks in Middle School Mathematics: Challenges and Opportunities (2010)Enacting Proof-Related Tasks …Overcoming Students' Difficulties in Learning to Understand and Construct Proofs (2008)Overcoming Students' Difficul…How Mathematicians Determine if an Argument Is a Valid Proof (2008)How Mathematicians Determine …Proof and Proving in School Mathematics (2007)Proof and Proving in School M…Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction (2005)Problem-solving, proving, and…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 …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)Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Qualitative Analysis for Social Scientists (1987)Basics of Qualitative Research: Grounded Theory Procedures and Techniques. (1992)Self-Explanation Training Improves Proof Comprehension (2013)Human Problem Solving (1972)Relational Understanding and Instrumental Understanding (1978)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)Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey (2016)The Discovery of Grounded Theory (2017)The Discovery of Grounded Theory (2017)The Discovery of Grounded Theory: Strategies for Qualitative Research. (1968)Handbook of Complementary Methods in Education Research (2012)Justification as a teaching and learning practice: Its (potential) multifacted role in middle grades mathematics classrooms (2012)Teachers implementing mathematical problem posing in the classroom: challenges and strategies (2012)Examining Elementary Students’ Development of Oral and Written Argumentation Practices Through Argument-Based Inquiry (2016)Telling more than we can know: Verbal reports on mental processes. (1977)Eye movements in reading and information processing: 20 years of research. (1998)The Uses of Argument (2003)Students’ understanding of the structure of deductive proof (2016)Handbook of research on mathematics teaching and learning (1992)Adding It Up: Helping Children Learn Mathematics (2013)Reasoning-and-proving opportunities in elementary mathematics textbooks (2013)Compendium for Early Career Researchers in Mathematics Education (2019)Human Nature in Politics: The Dialogue of Psychology with Political Science (1985)The Persuasion Knowledge Model: How People Cope with Persuasion Attempts (1994)Research Synthesis: The Practice of Cognitive Interviewing (2007)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem? (2003)Modelling mathematical argumentation: the importance of qualification (2007)
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References

  • 1986Protocol Analysis: Verbal Reports as Data4,346 cited
  • 1998Students’ proof schemes: Results from exploratory studies515 cited
  • 1994Making the transition to formal proof468 cited

Cited by

  • 2007Proof and Proving in School Mathematics341 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
  • 2012Expert and Novice Approaches to Reading Mathematical Proofs212 cited
  • 2008How Mathematicians Determine if an Argument Is a Valid Proof170 cited
  • 2012Opportunities to Learn Reasoning and Proof in High School Mathematics Textbooks161 cited
  • 2010Enacting Proof-Related Tasks in Middle School Mathematics: Challenges and Opportunities140 cited
  • 2010Mathematics Majors' Perceptions of Conviction, Validity, and Proof136 cited
  • 2012The Scholarship of Teaching and Learning In and Across the Disciplines117 cited
  • 2005Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction100 cited
  • 2016Proof and Argumentation in Mathematics Education Research95 cited

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  • 2013A local instructional theory for the guided reinvention of the group and isomorphism concepts94 cited
  • 2012Transitions and Proof and Proving at Tertiary Level76 cited
  • 2014Identifying Kinds of Reasoning in Collective Argumentation74 cited
  • 2008Overcoming Students' Difficulties in Learning to Understand and Construct Proofs74 cited
  • 2014The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks71 cited