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An empirical study of students’ understanding of a logical structure in the definition of limit via the ε-strip activity
15 references·0 citing·33 second hop
An empirical study of students’ understanding of a logical structure in the definition of limit via the ε-strip activity (2009)An empirical study of students’ understan…Students’ images and their understanding of definitions of the limit of a sequence (2008)Students’ images and their un…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…The Role of Logic in Teaching Proof (2003)The Role of Logic in Teaching…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…Basics of qualitative research : techniques and procedures for developing grounded theory (1998)Basics of qualitative researc…Understanding the limit concept: Beginning with a coordinated process scheme (1996)Understanding the limit conce…Unpacking the logic of mathematical statements (1995)Unpacking the logic of mathem…Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers) (1995)Advanced Mathematical Thinkin…Research in Collegiate Mathematics Education. I (1994)Research in Collegiate Mathem…Models of Limit Held by College Calculus Students (1991)Models of Limit Held by Colle…Advanced Mathematical Thinking (1990)Advanced Mathematical ThinkingThe Notion of Limit: Some Seemingly Unavoidable Misconception Stages. (1986)The Notion of Limit: Some See…Naturalistic inquiry (1985)Naturalistic inquiryConcept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…Researching Lived Experience: Human Science for an Action Sensitive Pedagogy (1990)Narrative Inquiry: Experience and Story in Qualitative Research (1999)Using thematic analysis in psychology (2006)Document Analysis as a Qualitative Research Method (2009)Seeking Qualitative Rigor in Inductive Research (2012)Conflicts in the learning of real numbers and limits (1978)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)Accommodation of a scientific conception: Toward a theory of conceptual change (1982)Alternative frameworks, conceptual conflict and accommodation: Toward a principled teaching strategy (1982)Didactic Restrictions on the Teacher’s Practice: The Case of Limits of Functions in Spanish High Schools (2007)Learning How to Learn (1984)The Uses of Argument (2003)How Mathematicians Determine if an Argument Is a Valid Proof (2008)An assessment model for proof comprehension in undergraduate mathematics (2011)Handbook of research on mathematics teaching and learning (1992)The transition to formal thinking in mathematics (2008)How Humans Learn to Think Mathematically (2013)Context Problems in Realistic Mathematics Education: A Calculus Course as an Example (1999)Threshold concepts and troublesome knowledge (2): Epistemological considerations and a conceptual framework for teaching and learning (2005)A research framework for creative and imitative reasoning (2007)Mathematical Beliefs and Conceptual Understanding of the Limit of a Function (2000)New directions in differential equations (2001)Understanding the integral: Students’ symbolic forms (2013)Toward a theory of teaching-in-context (1998)Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a Study (2002)The emergence of objects from mathematical practices (2012)The Gains and the Pitfalls of Reification — The Case of Algebra (1994)The characteristics of mathematical creativity (2008)Learning for STEM Literacy: STEM Literacy for Learning (2012)Three Approaches to Qualitative Content Analysis (2005)Thematic Analysis (2017)
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References

  • 1985Naturalistic inquiry46,302 cited
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  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity2,033 cited
  • 1995Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers)765 cited
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  • 2008Students’ images and their understanding of definitions of the limit of a sequence91 cited
  • 2001

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Letting the Intuitive bear on the Formal; A Didactical Approach for the Understanding of the Limit of a Sequence
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