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Limits and continuity: some conceptions of first-year students
1 references·10 citing·33 second hop
Limits and continuity: some conceptions of first-year students (2001)Limits and continuity: some conceptions o…Concept image and concept definition in mathematics with particular reference to limits and continuity (1981)Concept image and concept def…Understanding the integral: Students’ symbolic forms (2013)Understanding the integral: S…Validating proofs and counterexamples across content domains: Practices of importance for mathematics majors (2012)Validating proofs and counter…Examining the discourse on the limit concept in a beginning-level calculus classroom (2012)Examining the discourse on th…Coming to Understand the Formal Definition of Limit: Insights Gained From Engaging Students in Reinvention (2012)Coming to Understand the Form…Analysis of Errors and Misconceptions in the Learning of Calculus by Undergraduate Students. (2012)Analysis of Errors and Miscon…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…Students’ images and their understanding of definitions of the limit of a sequence (2008)Students’ images and their un…AN EXPLORATION OF DEFINITION AND PROCEDURAL FLUENCY IN INTEGRAL CALCULUS (2006)AN EXPLORATION OF DEFINITION …International Group for the Psychology of Mathematics Education (2003)International Group for the P…Radical Constructivism in Mathematics Education (2002)A research companion to Principles and standards for school mathematics (2003)The Common Core State Standards for Mathematics (2015)Case Study Research: Design and Methods (1984)Basics of qualitative research : techniques and procedures for developing grounded theory (1998)Basics of Qualitative Research: Techniques and Procedures for Developing Grounded Theory (2010)A framework for characterizing student understanding of Riemann sums and definite integrals (2014)Areas, anti-derivatives, and adding up pieces: Definite integrals in pure mathematics and applied science contexts (2015)The prevalence of area-under-a-curve and anti-derivative conceptions over Riemann sum-based conceptions in students’ explanations of definite integrals (2015)Handbook of research on mathematics teaching and learning (1992)Second Handbook of Research on Mathematics Teaching and Learning. (2007)Students’ proof schemes for mathematical proving and disproving of propositions (2015)Students' understanding of integration (1983)Advanced Mathematical Thinking, edited by David Tall. Pp 289. £56. 1991. ISBN 0-7923-1456-5 (Kluwer Academic Publishers) (1995)The Role of Definitions in the Teaching and Learning of Mathematics (2002)Situated Learning (1991)Situated Learning: Legitimate Peripheral Participation. (1994)Explanation, motivation and question posing routines in university mathematics teachers' pedagogical discourse: a commognitive analysis (2015)RADICAL CONSTRUCTIVISM (2010)Theory of didactical situations in mathematics (1997)What does it mean for a student to understand the first-year calculus? Perspectives of 24 experts (2011)A Conceptual Approach to Calculus Made Possible by Technology (2013)Shifting the ways prospective teachers frame and notice student mathematical thinking: from deficits to strengths (2023)Mind in Society: The Development of Higher Psychological Processes (1978)Flow: the psychology of optimal experience (1990)Mind, Self, and Society (2015)Ritual-enabling opportunities-to-learn in mathematics classrooms (2018)Multimodal data indicators for capturing cognitive, motivational, and emotional learning processes: A systematic literature review (2020)“Color‐Neutral” Is Not a Thing: Redefining Construct Definition and Representation through a Justice‐Oriented Critical Antiracist Lens (2021)Handbook of research design in mathematics and science education (2000)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)
this work references cited by second hop

References

  • 1981Concept image and concept definition in mathematics with particular reference to limits and continuity1,880 cited

Cited by

  • 2003International Group for the Psychology of Mathematics Education140 cited
  • 2013Understanding the integral: Students’ symbolic forms129 cited
  • 2008Students’ images and their understanding of definitions of the limit of a sequence91 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
  • 2012Coming to Understand the Formal Definition of Limit: Insights Gained From Engaging Students in Reinvention66 cited
  • 2012Validating proofs and counterexamples across content domains: Practices of importance for mathematics majors63 cited
  • 2006AN EXPLORATION OF DEFINITION AND PROCEDURAL FLUENCY IN INTEGRAL CALCULUS54 cited
  • 2012Analysis of Errors and Misconceptions in the Learning of Calculus by Undergraduate Students.52 cited

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