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Proof schemes and learning strategies of above-average mathematics students
14 references·3 citing·39 second hop
Proof schemes and learning strategies of above-average mathematics students (2003)Proof schemes and learning strategies of …Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem? (2003)Validations of Proofs Conside…The Development of Mathematical Induction as a Proof Scheme: A Model for DNR-Based Instruction 1, 2, 3 (2001)The Development of Mathematic…Types of Students’ Justifications (1998)Types of Students’ Justificat…The curricular shaping of students' approaches to proof (1997)The curricular shaping of stu…Facilitating Learning Events Through Example Generation (1997)Facilitating Learning Events …Justification in the mathematics classroom: A study of prospective elementary teachers (1996)Justification in the mathemat…Inhibiting Factors in Generating Examples by Mathematics Teachers and Student Teachers: The Case of Binary Operation (1996)Inhibiting Factors in Generat…Unpacking the logic of mathematical statements (1995)Unpacking the logic of mathem…Making the transition to formal proof (1994)Making the transition to form…High school geometry students' justification for their views of empirical evidence and mathematical proof (1993)High school geometry students…Development of the process conception of function (1992)Development of the process co…Proof Frames of Preservice Elementary Teachers (1989)Proof Frames of Preservice El…Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…Aspects of proving: A clinical investigation of process (1981)Aspects of proving: A clinica…The Coverage Issue (2012)The Coverage IssueDoes generating examples aid proof production? (2011)Does generating examples aid …Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness (2010)Undergraduates’ Example Use i…Mind in Society: The Development of Higher Psychological Processes (1978)National Council of Teachers of Mathematics (1979)The Uses of Argument (2003)A research framework for creative and imitative reasoning (2007)Expert and Novice Approaches to Reading Mathematical Proofs (2012)Opportunities to Learn Reasoning and Proof in High School Mathematics Textbooks (2012)Conflicts in the learning of real numbers and limits (1978)Images and Definitions for the Concept of Function (1989)APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research (2005)Classroom Discourse: The Language of Teaching and Learning (1988)When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching (1990)Reconstructing Mathematics Pedagogy from a Constructivist Perspective (1995)Proof, Explanation and Exploration: An Overview (2000)Ontological Innovation and the Role of Theory in Design Experiments (2004)Theories-in-Action: Some Theoretical and Empirical Issues in the Study of Students' Conceptual Frameworks in Science (1983)Explorations of Students' Mathematical Beliefs and Behavior (1989)Proofs produced by secondary school students learning geometry in a dynamic computer environment (2000)How can the relationship between argumentation and proof be analysed? (2007)Student difficulty in constructing proofs: The need for strategic knowledge (2001)Proof and Proving in School Mathematics (2007)The Discovery of Grounded Theory (2017)The Discovery of Grounded Theory (2017)Learning How to Learn (1984)The Role of Logic in Teaching Proof (2003)How Mathematicians Determine if an Argument Is a Valid Proof (2008)An assessment model for proof comprehension in undergraduate mathematics (2011)Piaget’s Theory (1976)The Gains and the Pitfalls of Reification — The Case of Algebra (1994)Understanding the limit concept: Beginning with a coordinated process scheme (1996)Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a Study (2002)Advances in Instructional Psychology (2019)A study of pupils' proof-explanations in mathematical situations (1976)Computer Technology and the Teaching of Geometry (1998)Students' understandings of logical implication (2002)Preservice teachers’ knowledge of proof by mathematical induction (2007)The Mathematical Nature of Reasoning-and-Proving Opportunities in Geometry Textbooks (2014)A Study of Proof Conceptions in Algebra (2000)Geometry and Spatial Reasoning (2006)Adding It Up: Helping Children Learn Mathematics (2013)
this work references cited by second hop

References

  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity2,033 cited
  • 1994Making the transition to formal proof468 cited
  • 1992Development of the process conception of function418 cited
  • 2003Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem?340 cited
  • 1993High school geometry students' justification for their views of empirical evidence and mathematical proof340 cited
  • 1989Proof Frames of Preservice Elementary Teachers298 cited
  • 1995Unpacking the logic of mathematical statements247 cited
  • 1996Justification in the mathematics classroom: A study of prospective elementary teachers191 cited
  • 1998Types of Students’ Justifications122 cited
  • 1997The curricular shaping of students' approaches to proof111 cited
  • 2001The Development of Mathematical Induction as a Proof Scheme: A Model for DNR-Based Instruction 1, 2, 3111 cited
  • 1997Facilitating Learning Events Through Example Generation109 cited
  • 1996Inhibiting Factors in Generating Examples by Mathematics Teachers and Student Teachers: The Case of Binary Operation72 cited
  • 1981Aspects of proving: A clinical investigation of process64 cited

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  • 2012The Coverage Issue48 cited
  • 2011Does generating examples aid proof production?44 cited
  • 2010Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness43 cited