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Beyond inductive and deductive reasoning: The search for a sense of knowing
8 references·9 citing·47 second hop
Beyond inductive and deductive reasoning: The search for a sense of knowing (1996)Beyond inductive and deductive reasoning:…Justification in the mathematics classroom: A study of prospective elementary teachers (1996)Justification in the mathemat…Building and Understanding Multiplicative Relationships: A Study of Prospective Elementary Teachers (1994)Building and Understanding Mu…High school geometry students' justification for their views of empirical evidence and mathematical proof (1993)High school geometry students…Towards a constructivist perspective: An intervention study of mathematics teacher development (1991)Towards a constructivist pers…When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching (1990)When the Problem Is Not the Q…Proof Frames of Preservice Elementary Teachers (1989)Proof Frames of Preservice El…Explorations of Students' Mathematical Beliefs and Behavior (1989)Explorations of Students' Mat…The Essential Piaget (1979)The Essential PiagetSecondary Students’ Quantification of Ratio and Rate: A Framework for Reasoning about Change in Covarying Quantities (2015)Secondary Students’ Quantific…Technology and the Role of Proof: The Case of Dynamic Geometry (2012)Technology and the Role of Pr…Mathematical modelling with technology: the role of dynamic representations (2012)Mathematical modelling with t…Visuals and Visualisation of Human Body Systems (2009)Visuals and Visualisation of …Visual and Spatial Modes in Science Learning (2009)Visual and Spatial Modes in S…Teaching Geometry With Problems: Negotiating Instructional Situations and Mathematical Tasks (2006)Teaching Geometry With Proble…Interactions with diagrams and the making of reasoned conjectures in geometry (2004)Interactions with diagrams an…Theorem Justification and Acquisition in Dynamic Geometry: A Case of Proof by Contradiction (2002)Theorem Justification and Acq…Exploring the NATURE OF MATHEMATICAL activity: USING theory, research and `working hypotheses' to broaden conceptions of mathematics knowing (2002)Exploring the NATURE OF MATHE…The Interpretation of Cultures (1974)Mind in Society: The Development of Higher Psychological Processes (1978)Knowledge and Teaching:Foundations of the New Reform (1987)Building Student Capacity for Mathematical Thinking and Reasoning: An Analysis of Mathematical Tasks Used in Reform Classrooms (1996)The situativity of knowing, learning, and research. 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(1975)Judgment Under Uncertainty: Heuristics and Biases. (1984)A Study of Proof Conceptions in Algebra (2000)The Relationship Between Classroom Motivation and Academic Achievement in Elementary‐School‐Aged Children (2004)Judgment under Uncertainty (2017)Phenomenography-a research approach to investigating different understandings of reality (1986)Student achievement through staff development (1988)Lessons Learned: How Collaboration Helped Middle Grade Science Teachers Learn Project-Based Instruction (1994)Calculators in the Mathematics Curriculum: the Scope of Personal Computational Technology (1996)Are Teachers Who Need Sustained, Content-Focused Professional Development Getting It? An Administrator’s Dilemma (2006)Educational Leadership (2007)Classroom Discourse: The Language of Teaching and Learning (1988)Reconstructing Mathematics Pedagogy from a Constructivist Perspective (1995)Teachers Content Knowledge, Teacher Education, and their Effects on the Preparation of Elementary Teachers in the United States (2001)A Relational Perspective on Issues of Cultural Diversity and Equity as They Play Out in the Mathematics Classroom (2002)Understanding and describing mathematical knowledge for teaching: knowledge about proof for engaging students in the activity of proving (2008)Theories-in-Action: Some Theoretical and Empirical Issues in the Study of Students' Conceptual Frameworks in Science (1983)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)Theory of didactical situations in mathematics (1997)Mathematical Knowledge for Teaching and Task Unfolding: An Exploratory Study (2010)On the instructional triangle and sources of justification for actions in mathematics teaching (2012)Proof and Argumentation in Mathematics Education Research (2016)Beyond Decoupling: Rethinking the Relationship Between the Institutional Environment and the Classroom (2004)Ontological Innovation and the Role of Theory in Design Experiments (2004)Does discovery-based instruction enhance learning? (2010)Unpacking the logic of mathematical statements (1995)The Development of the Idea of Mathematical Proof: A 5-Year Case Study (1996)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)
this work references cited by second hop

References

  • 1990When the Problem Is Not the Question and the Solution Is Not the Answer: Mathematical Knowing and Teaching1,368 cited
  • 1989Explorations of Students' Mathematical Beliefs and Behavior571 cited
  • 1979The Essential Piaget466 cited
  • 1993High school geometry students' justification for their views of empirical evidence and mathematical proof340 cited
  • 1989Proof Frames of Preservice Elementary Teachers298 cited
  • 1996Justification in the mathematics classroom: A study of prospective elementary teachers191 cited
  • 1991Towards a constructivist perspective: An intervention study of mathematics teacher development180 cited
  • 1994Building and Understanding Multiplicative Relationships: A Study of Prospective Elementary Teachers131 cited

Cited by

  • 2006Teaching Geometry With Problems: Negotiating Instructional Situations and Mathematical Tasks108 cited
  • 2009Visual and Spatial Modes in Science Learning99 cited
  • 2002Exploring the NATURE OF MATHEMATICAL activity: USING theory, research and `working hypotheses' to broaden conceptions of mathematics knowing83 cited
  • 2015Secondary Students’ Quantification of Ratio and Rate: A Framework for Reasoning about Change in Covarying Quantities71 cited
  • 2004Interactions with diagrams and the making of reasoned conjectures in geometry64 cited
  • 2012

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Technology and the Role of Proof: The Case of Dynamic Geometry
61 cited
  • 2002Theorem Justification and Acquisition in Dynamic Geometry: A Case of Proof by Contradiction56 cited
  • 2009Visuals and Visualisation of Human Body Systems49 cited
  • 2012Mathematical modelling with technology: the role of dynamic representations47 cited