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Models of Limit Held by College Calculus Students
4 references·16 citing·41 second hop
Models of Limit Held by College Calculus Students (1991)Models of Limit Held by College Calculus …Humanities students and epistemological obstacles related to limits (1987)Humanities students and epist…Alternative frameworks, conceptual conflict and accommodation: Toward a principled teaching strategy (1982)Alternative frameworks, conce…Accommodation of a scientific conception: Toward a theory of conceptual change (1982)Accommodation of a scientific…Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…A framework for characterizing student understanding of Riemann sums and definite integrals (2014)A framework for characterizin…Understanding the integral: Students’ symbolic forms (2013)Understanding the integral: S…A Conceptual Approach to Calculus Made Possible by Technology (2013)A Conceptual Approach to Calc…Examining the discourse on the limit concept in a beginning-level calculus classroom (2012)Examining the discourse on th…Reinventing the formal definition of limit: The case of Amy and Mike (2011)Reinventing the formal defini…Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions (2009)Undergraduate mathematics maj…Preservice Teachers' Understanding of the Relation Between a Fraction or Integer and Its Decimal Expansion (2009)Preservice Teachers' Understa…Collapsing Dimensions, Physical Limitation, and Other Student Metaphors for Limit Concepts (2009)Collapsing Dimensions, Physic…Students’ images and their understanding of definitions of the limit of a sequence (2008)Students’ images and their un…Didactic Restrictions on the Teacher’s Practice: The Case of Limits of Functions in Spanish High Schools (2007)Didactic Restrictions on the …Didactic Restrictions on the Teacher’s Practice: The Case of Limits of Functions in Spanish High Schools (2005)Didactic Restrictions on the …Convergence of Sequences and Series 2: Interactions Between Nonvisual Reasoning and the Learner’s Beliefs about their own Role (2005)Convergence of Sequences and …Images of the limit of function formed in the course of mathematical studies at the university (2004)Images of the limit of functi…Convergence of sequences and series: Interactions between visual reasoning and the learner's beliefs about their own role (2004)Convergence of sequences and …Letting the Intuitive bear on the Formal; A Didactical Approach for the Understanding of the Limit of a Sequence (2001)Letting the Intuitive bear on…Mathematical Beliefs and Conceptual Understanding of the Limit of a Function (2000)Mathematical Beliefs and Conc…Women, Fire, and Dangerous Things: What Categories Reveal about the Mind (1988)Basics of qualitative research : techniques and procedures for developing grounded theory (1998)Metaphors We Live By (2003)Lectures in Advanced Mathematics: Why Students Might Not Understand What the Mathematics Professor Is Trying to Convey (2016)A Theory of Cognitive Dissonance (1957)The Structure of Scientific Revolutions (1963)Theories of Knowledge Restructuring in Development (1987)Orientations to Teaching and Their Effect on the Quality of Student Learning (1994)A four‐category scheme for coding and assessing the level of reflection in written work (2008)A Theory of Cognitive Dissonance (2017)THE STRUCTURE OF SCIENTIFIC REVOLUTIONS (1963)Falsification and the Methodology of Scientific Research Programmes (1970)Constructing Scientific Knowledge in the Classroom (1994)In search of the essence of a good teacher: towards a more holistic approach in teacher education (2004)Teacher pedagogical beliefs: The final frontier in our quest for technology integration? 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(1992)Basics of Qualitative Research: Grounded Theory Procedures and Techniques (1993)Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction (2005)Doctoral students’ use of examples in evaluating and proving conjectures (2008)La transposition didactique : du savoir savant au savoir enseigné / (1985)Theory of didactical situations in mathematics (1997)L'analyse des pratiques enseignantes en théorie anthropologique du didactique (1999)Study and research courses as an epistemological model for didactics (2012)Introduction to the Anthropological Theory of the Didactic (ATD) (2014)Five Decades of Mathematics Education Research (2018)When Good Teaching Leads to Bad Results: The Disasters of 'Well-Taught' Mathematics Courses (1988)Research on Affect in Mathematics Education: A Reconceptualization (2006)Images and Definitions for the Concept of Function (1989)Making the transition to formal proof (1994)APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research (2005)Didactic Transposition in Mathematics Education (2014)Didactic Transposition in Mathematics Education (2020)
this work references cited by second hop

References

  • 1982Accommodation of a scientific conception: Toward a theory of conceptual change5,116 cited
  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity1,880 cited
  • 1982Alternative frameworks, conceptual conflict and accommodation: Toward a principled teaching strategy517 cited
  • 1987Humanities students and epistemological obstacles related to limits238 cited

Cited by

  • 2000Mathematical Beliefs and Conceptual Understanding of the Limit of a Function139 cited
  • 2013Understanding the integral: Students’ symbolic forms129 cited
  • 2007Didactic Restrictions on the Teacher’s Practice: The Case of Limits of Functions in Spanish High Schools126 cited
  • 2005Didactic Restrictions on the Teacher’s Practice: The Case of Limits of Functions in Spanish High Schools122 cited
  • 2005Convergence of Sequences and Series 2: Interactions Between Nonvisual Reasoning and the Learner’s Beliefs about their own Role120 cited
  • 2009Collapsing Dimensions, Physical Limitation, and Other Student Metaphors for Limit Concepts114 cited
  • 2004Convergence of sequences and series: Interactions between visual reasoning and the learner's beliefs about their own role108 cited
  • 2004Images of the limit of function formed in the course of mathematical studies at the university100 cited
  • 2014A framework for characterizing student understanding of Riemann sums and definite integrals

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95 cited
  • 2008Students’ images and their understanding of definitions of the limit of a sequence91 cited
  • 2001Letting the Intuitive bear on the Formal; A Didactical Approach for the Understanding of the Limit of a Sequence90 cited
  • 2013A Conceptual Approach to Calculus Made Possible by Technology82 cited
  • 2011Reinventing the formal definition of limit: The case of Amy and Mike70 cited
  • 2009Undergraduate mathematics majors’ writing performance producing proofs and counterexamples about continuous functions68 cited
  • 2012Examining the discourse on the limit concept in a beginning-level calculus classroom68 cited
  • 2009Preservice Teachers' Understanding of the Relation Between a Fraction or Integer and Its Decimal Expansion68 cited