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Modelling mathematical argumentation: the importance of qualification
9 references·16 citing·35 second hop
Modelling mathematical argumentation: the importance of qualification (2007)Modelling mathematical argumentation: the…Science and Hypothesis (2024)Science and HypothesisThe Journal of Mathematical Behavior (2019)The Journal of Mathematical B…The Emergence of Mathematical Meaning (2012)The Emergence of Mathematical…Mathematicians as Enquirers : Learning About Learning Mathematics (2012)Mathematicians as Enquirers :…Handbook of Research on the Psychology of Mathematics Education (2006)Handbook of Research on the P…The Uses of Argument (2003)The Uses of ArgumentReturn to Reason (2001)Return to ReasonStudents’ proof schemes: Results from exploratory studies (1998)Students’ proof schemes: Resu…Science and Hypothesis. (1906)Science and Hypothesis.Establishing links between conceptions, argumentation and proof through the ck¢-enriched Toulmin model (2016)Establishing links between co…Teacher support for collective argumentation: A framework for examining how teachers support students’ engagement in mathematical activities (2014)Teacher support for collectiv…Identifying Kinds of Reasoning in Collective Argumentation (2014)Identifying Kinds of Reasonin…Reasoning using particulate nature of matter: An example of a sociochemical norm in a university-level physical chemistry class (2012)Reasoning using particulate n…Good thinking: seven powerful ideas that influence the way we think (2012)Good thinking: seven powerful…Expert and Novice Approaches to Reading Mathematical Proofs (2012)Expert and Novice Approaches …Research on Practical Rationality: Studying the justification of actions in mathematics teaching (2011)Research on Practical Rationa…How do mathematicians learn math?: resources and acts for constructing and understanding mathematics (2011)How do mathematicians learn m…From visual reasoning to logical necessity through argumentative design (2011)From visual reasoning to logi…ADAPTING A METHODOLOGY FROM MATHEMATICS EDUCATION RESEARCH TO CHEMISTRY EDUCATION RESEARCH: DOCUMENTING COLLECTIVE ACTIVITY (2011)ADAPTING A METHODOLOGY FROM M…‘Warrant’ revisited: Integrating mathematics teachers’ pedagogical and epistemological considerations into Toulmin’s model for argumentation (2011)‘Warrant’ revisited: Integrat…Semiotic and theoretic control in argumentation and proof activities (2010)Semiotic and theoretic contro…Can slope be negative in 3-space? Studying concept image of slope through collective definition construction (2010)Can slope be negative in 3-sp…Argumentation and Learning (2009)Argumentation and LearningLearning opportunities from group discussions: warrants become the objects of debate (2008)Learning opportunities from g…Doctoral students’ use of examples in evaluating and proving conjectures (2008)Doctoral students’ use of exa…Time and modality (1957)The interdisciplinary study of coordination (1994)Thematic networks: an analytic tool for qualitative research (2001)The Nature of Theory in Information Systems1 (2006)National Council of Teachers of Mathematics (1979)Those Who Understand: Knowledge Growth in Teaching (1986)Mathematics teachers' attention to potential classroom situations of argumentation (2017)Iranian EFL Students’ L2 Engagement: The Impact of Teacher Support and Teacher-student Rapport (2022)Telling more than we can know: Verbal reports on mental processes. (1977)Eye movements in reading and information processing: 20 years of research. (1998)Self-Explanation Training Improves Proof Comprehension (2013)Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey (2016)Students’ understanding of the structure of deductive proof (2016)Handbook of research on mathematics teaching and learning (1992)International Handbook of Mathematics Education (1997)Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being (2002)Connecting theories in mathematics education: challenges and possibilities (2008)Integrating Technology into Mathematics Education: Theoretical Perspectives (2009)Learning Trajectory Based Instruction (2012)Do We Really Understand Tacit Knowledge? (2004)The Logic of Practicality: A Theory of Practice of Security Communities (2008)Handbook of International Research in Mathematics Education (2015)Reflective Discourse and Collective Reflection (1997)There is More to Discourse than Meets the Ears: Looking at Thinking as Communicating to Learn More About Mathematical Learning (2006)An Interpretive Scheme for Analyzing the Identities That Students Develop in Mathematics Classrooms (2009)Evaluation of goodness-of-fit indices for structural equation models. (1989)The Knowledge-Based View, Nested Heterogeneity, and New Value Creation: Philosophical Considerations on the Locus of Knowledge (2007)A problem in theory (2019)Characteristics of Classroom Mathematics Traditions: An Interactional Analysis (1992)Development of the process conception of function (1992)Images of rate and operational understanding of the fundamental theorem of calculus (1994)Student difficulty in constructing proofs: The need for strategic knowledge (2001)Teachers' Conceptions of Proof in the Context of Secondary School Mathematics (2002)Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem? (2003)Dynamic Econometrics (1995)
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References

  • 2003The Uses of Argument7,099 cited
  • 2024Science and Hypothesis816 cited
  • 1906Science and Hypothesis.564 cited
  • 2012The Emergence of Mathematical Meaning528 cited
  • 1998Students’ proof schemes: Results from exploratory studies515 cited
  • 2001Return to Reason473 cited
  • 2019The Journal of Mathematical Behavior450 cited
  • 2006Handbook of Research on the Psychology of Mathematics Education351 cited
  • 2012Mathematicians as Enquirers : Learning About Learning Mathematics154 cited

Cited by

  • 2012Expert and Novice Approaches to Reading Mathematical Proofs212 cited
  • 2014Teacher support for collective argumentation: A framework for examining how teachers support students’ engagement in mathematical activities197 cited
  • 2009Argumentation and Learning155 cited
  • 2008Learning opportunities from group discussions: warrants become the objects of debate137 cited
  • 2012Reasoning using particulate nature of matter: An example of a sociochemical norm in a university-level physical chemistry class100 cited
  • 2008Doctoral students’ use of examples in evaluating and proving conjectures91 cited

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  • 2011Research on Practical Rationality: Studying the justification of actions in mathematics teaching83 cited
  • 2010Can slope be negative in 3-space? Studying concept image of slope through collective definition construction75 cited
  • 2014Identifying Kinds of Reasoning in Collective Argumentation74 cited
  • 2011From visual reasoning to logical necessity through argumentative design73 cited
  • 2011‘Warrant’ revisited: Integrating mathematics teachers’ pedagogical and epistemological considerations into Toulmin’s model for argumentation71 cited
  • 2010Semiotic and theoretic control in argumentation and proof activities64 cited
  • 2016Establishing links between conceptions, argumentation and proof through the ck¢-enriched Toulmin model60 cited
  • 2011How do mathematicians learn math?: resources and acts for constructing and understanding mathematics57 cited
  • 2011ADAPTING A METHODOLOGY FROM MATHEMATICS EDUCATION RESEARCH TO CHEMISTRY EDUCATION RESEARCH: DOCUMENTING COLLECTIVE ACTIVITY54 cited
  • 2012Good thinking: seven powerful ideas that influence the way we think4 cited