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Does generating examples aid proof production?
11 references·0 citing·35 second hop
Does generating examples aid proof production? (2011)Does generating examples aid proof produc…Learning and Awareness (2013)Learning and AwarenessUsing learner generated examples to introduce new concepts (2008)Using learner generated examp…Shedding light on and with example spaces (2008)Shedding light on and with ex…Exemplifying definitions: a case of a square (2008)Exemplifying definitions: a c…Mathematics as a constructive activity: Learners generating examples (2006)Mathematics as a constructive…Mathematics as a Constructive Activity: Learners Generating Examples (2005)Mathematics as a Constructive…Proof schemes and learning strategies of above-average mathematics students (2003)Proof schemes and learning st…Mathematics Teaching Practice: Guide for University and College Lecturers (2002)Mathematics Teaching Practice…Mathematics teaching practice (2002)Mathematics teaching practiceFacilitating Learning Events Through Example Generation (1997)Facilitating Learning Events …Making the transition to formal proof (1994)Making the transition to form…Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Development of the process conception of function (1992)Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness (2010)The Coverage Issue (2012)An Introduction to Radical Constructivism (1981)Functions, Graphs, and Graphing: Tasks, Learning, and Teaching (1990)Student‐generated examples in the learning of mathematics (2002)Doctoral students’ use of examples in evaluating and proving conjectures (2008)Transitions and Proof and Proving at Tertiary Level (2012)Thought and language (1962)Mind in Society: The Development of Higher Psychological Processes (1978)Mathematicians’ Example-Related Activity when Exploring and Proving Conjectures (2016)Springer Handbook of Model-Based Science (2017)Toward a Theory of Instruction (1966)Handbook of research on teaching (1986)Women, Fire, and Dangerous Things (1987)What is made possible to learn when using the variation theory of learning in teaching mathematics? (2017)Mathematics as an Educational Task (1972)Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (2004)Learners’ level of understanding of the inclusion relations of quadrilaterals and prototype phenomenon (2011)Early-years teachers’ concept images and concept definitions: triangles, circles, and cylinders (2014)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)A framework for mathematical thinking: the case of linear algebra (2009)Explanation, motivation and question posing routines in university mathematics teachers' pedagogical discourse: a commognitive analysis (2015)Seeing an Exercise as a Single Mathematical Object: Using Variation to Structure Sense-Making (2006)Facilitating the Transition from Empirical Arguments to Proof (2009)A Comparative Analysis of the Addition and Subtraction of Fractions in Textbooks from Three Countries (2010)Teaching For Quality Learning At University (1999)What the Student Does: teaching for enhanced learning (1999)Sustainable Assessment: Rethinking assessment for the learning society (2000)Appreciating mathematical structure for all (2009)
this work references cited by second hop

References

  • 2013Learning and Awareness3,730 cited
  • 1994Making the transition to formal proof468 cited
  • 2005Mathematics as a Constructive Activity: Learners Generating Examples270 cited
  • 2006Mathematics as a constructive activity: Learners generating examples223 cited
  • 2008Exemplifying definitions: a case of a square157 cited
  • 2008Shedding light on and with example spaces124 cited
  • 1997Facilitating Learning Events Through Example Generation109 cited
  • 2002Mathematics Teaching Practice: Guide for University and College Lecturers57 cited
  • 2008Using learner generated examples to introduce new concepts53 cited
  • 2003Proof schemes and learning strategies of above-average mathematics students49 cited
  • 2002Mathematics teaching practice47 cited

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