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Facilitating Learning Events Through Example Generation
8 references·6 citing·43 second hop
Facilitating Learning Events Through Example Generation (1997)Facilitating Learning Events Through Exam…Unpacking the logic of mathematical statements (1995)Unpacking the logic of mathem…Making the transition to formal proof (1994)Making the transition to form…Development of the process conception of function (1992)Development of the process co…On the reluctance to visualize in mathematics (1991)On the reluctance to visualiz…Functions, Graphs, and Graphing: Tasks, Learning, and Teaching (1990)Functions, Graphs, and Graphi…The Notion of Limit: Some Seemingly Unavoidable Misconception Stages. (1986)The Notion of Limit: Some See…Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…An Introduction to Radical Constructivism (1981)An Introduction to Radical Co…Transitions and Proof and Proving at Tertiary Level (2012)Transitions and Proof and Pro…Generating and using examples in the proving process (2012)Generating and using examples…Mathematicians’ perspectives on the teaching and learning of proof (2010)Mathematicians’ perspectives …Overcoming Students' Difficulties in Learning to Understand and Construct Proofs (2008)Overcoming Students' Difficul…Doctoral students’ use of examples in evaluating and proving conjectures (2008)Doctoral students’ use of exa…Student‐generated examples in the learning of mathematics (2002)Student‐generated examples in…Case Study Research: Design and Methods (1984)Case Study Research: Design and Methods (1991)How do mathematicians learn math?: resources and acts for constructing and understanding mathematics (2011)Science and Hypothesis (2024)Student difficulty in constructing proofs: The need for strategic knowledge (2001)Proof and Proving in School Mathematics (2007)Expert and Novice Approaches to Reading Mathematical Proofs (2012)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)The Uses of Argument (2003)How Mathematicians Determine if an Argument Is a Valid Proof (2008)An assessment model for proof comprehension in undergraduate mathematics (2011)The Farther Reaches of Human Nature (1971)THE ROLE OF TUTORING IN PROBLEM SOLVING * (1976)Socio‐Economic Status and Creativity: A Meta‐Analysis (2022)Learning Mechanisms Explaining Learning With Digital Tools in Educational Settings: a Cognitive Process Framework (2024)Piaget’s Theory (1976)Mind in Society: The Development of Higher Psychological Processes (1978)The Gains and the Pitfalls of Reification — The Case of Algebra (1994)The gains and the pitfalls of reification — The case of algebra (1994)Understanding the limit concept: Beginning with a coordinated process scheme (1996)Advances in Instructional Psychology (2019)Those Who Understand: Knowledge Growth in Teaching (1986)Those Who Understand: Knowledge Growth in Teaching (1986)Knowledge and Teaching:Foundations of the New Reform (1987)Exploring visuospatial thinking in chemistry learning (2004)Metarepresentation: Native Competence and Targets for Instruction (2004)The Learning and Teaching of School Algebra (2006)A treatise concerning the principles of human knowledge, 1734 (1971)Reason, Truth and History (1981)The Many Faces of Constructivism. (1999)Digital Fabrication and ‘Making’ in Education (2013)Content Analysis (2015)Coordinating Visual and Analytic Strategies: A Study of Students' Understanding of the Group D 4 (1996)The Construction of Mathematical Meanings: Connecting the Visual with the Symbolic (1997)Student Understanding of the Cartesian Connection: An Exploratory Study (2000)Mathematical Beliefs and Conceptual Understanding of the Limit of a Function (2000)New directions in differential equations (2001)Understanding the integral: Students’ symbolic forms (2013)Images and Definitions for the Concept of Function (1989)APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research (2005)
this work references cited by second hop

References

  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity1,880 cited
  • 1990Functions, Graphs, and Graphing: Tasks, Learning, and Teaching1,040 cited
  • 1981An Introduction to Radical Constructivism839 cited
  • 1994Making the transition to formal proof468 cited
  • 1992Development of the process conception of function400 cited
  • 1995Unpacking the logic of mathematical statements247 cited
  • 1986The Notion of Limit: Some Seemingly Unavoidable Misconception Stages.221 cited
  • 1991On the reluctance to visualize in mathematics174 cited

Cited by

  • 2008Doctoral students’ use of examples in evaluating and proving conjectures91 cited
  • 2002Student‐generated examples in the learning of mathematics80 cited
  • 2012Transitions and Proof and Proving at Tertiary Level76 cited
  • 2008Overcoming Students' Difficulties in Learning to Understand and Construct Proofs74 cited
  • 2010Mathematicians’ perspectives on the teaching and learning of proof70 cited
  • 2012Generating and using examples in the proving process66 cited

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