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Proofs through Exploration in Dynamic Geometry Environments
9 references·1 citing·37 second hop
Proofs through Exploration in Dynamic Geometry Environments (2004)Proofs through Exploration in Dynamic Geo…Secondary School Mathematics Teachers' Conceptions of Proof (2002)Secondary School Mathematics …Providing a Foundation for Deductive Reasoning: Students' Interpretations when Using Dynamic Geometry Software and Their Evolving Mathematical Explanations (2000)Providing a Foundation for De…Proof, Explanation and Exploration: An Overview (2000)Proof, Explanation and Explor…Introduction to Proof: The Mediation of a Dynamic Software Environment (2000)Introduction to Proof: The Me…Dynamic Geometry Environments as a Source of Rich Learning Contexts for the Complex Activity of Proving (2000)Dynamic Geometry Environments…Rethinking proof: With the Geometer's sketchpad (1999)Rethinking proof: With the Ge…Challenges to the Importance of Proof. (1995)Challenges to the Importance …Proving is convincing and explaining (1993)Proving is convincing and exp…High school geometry students' justification for their views of empirical evidence and mathematical proof (1993)High school geometry students…The effect of inquiry-based explorations in a dynamic geometry environment on sixth grade students’ achievements in polygons (2011)The effect of inquiry-based e…Some pedagogical aspects of proof (1990)From static to dynamic mathematics: historical and representational perspectives (2008)Integrating Technology into Mathematics Education: Theoretical Perspectives (2009)Generating Conjectures in Dynamic Geometry: The Maintaining Dragging Model (2010)Mathematical explanation (1978)Proof and Proving in School Mathematics (2007)The Scholarship of Teaching and Learning In and Across the Disciplines (2012)Grounded and embodied mathematical cognition: Promoting mathematical insight and proof using action and language (2017)Mathematics, Science and Epistemology (1978)Handbook of research on mathematics teaching and learning (1992)Why Johnny Can’t Prove (1999)The role of contradiction and uncertainty in promoting the need to prove in Dynamic Geometry environments (2000)How Mathematicians Determine if an Argument Is a Valid Proof (2008)Theory of didactical situations in mathematics : didactique des mathématiques (1970-1990) (1997)Interactions with diagrams and the making of reasoned conjectures in geometry (2004)Discernment of invariants in dynamic geometry environments (2013)Acquisition of mathematics concepts and processes (1983)Second Handbook of Research on Mathematics Teaching and Learning. (2007)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)Generalization and Justification: The Challenge of Introducing Algebraic Reasoning Through Patterning Activities (2005)National Council of Teachers of Mathematics (1979)The making of a teacher: teacher knowledge and teacher education (1991)Expert and Novice Approaches to Reading Mathematical Proofs (2012)Ethnographic Interview (2017)Structure and Insight: A Theory of Mathematics Education (1985)Voices of the Mind: A Sociocultural Approach to Mediated Action (1991)Windows on mathematical meanings: learning cultures and computers (1997)What can digital technologies take from and bring to research in mathematics education? (2003)The Role of a Dynamic Software Program for Geometry in the Strategies High School Mathematics Students Employ (2007)Learners’ level of understanding of the inclusion relations of quadrilaterals and prototype phenomenon (2011)Unpacking the logic of mathematical statements (1995)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)Using dynamic geometry to expand mathematics teachers’ understanding of proof (2004)Mathematical Knowledge and Practices Resulting from Access to Digital Technologies (2009)Using technology to explore mathematical relationships: a framework for orienting mathematics courses for prospective teachers (2011)
this work references cited by second hop

References

  • 2000Proof, Explanation and Exploration: An Overview427 cited
  • 2002Secondary School Mathematics Teachers' Conceptions of Proof350 cited
  • 1993High school geometry students' justification for their views of empirical evidence and mathematical proof340 cited
  • 1993Proving is convincing and explaining271 cited
  • 2000Providing a Foundation for Deductive Reasoning: Students' Interpretations when Using Dynamic Geometry Software and Their Evolving Mathematical Explanations263 cited
  • 2000Introduction to Proof: The Mediation of a Dynamic Software Environment240 cited
  • 1995Challenges to the Importance of Proof.174 cited
  • 1999Rethinking proof: With the Geometer's sketchpad149 cited
  • 2000Dynamic Geometry Environments as a Source of Rich Learning Contexts for the Complex Activity of Proving110 cited

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  • 2011The effect of inquiry-based explorations in a dynamic geometry environment on sixth grade students’ achievements in polygons79 cited

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