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Research papers

Student perspectives on the relationship between a curve and its tangent in the transition from Euclidean Geometry to Analysis

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Pages 53-70 | Published online: 19 Sep 2008

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Read on this site (6)

Mark Hogue & Dominic Scarcelli. (2022) Nonequivalent definitions and student conceptions of tangent lines in calculus. International Journal of Mathematical Education in Science and Technology 53:9, pages 2391-2421.
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Nava Gilboa, Ivy Kidron & Tommy Dreyfus. (2019) Constructing a mathematical definition: the case of the tangent. International Journal of Mathematical Education in Science and Technology 50:3, pages 421-446.
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Nicole Engelke Infante, Kristen Murphy, Celeste Glenn & Vicki Sealey. (2018) How concept images affect students’ interpretations of Newton's method. International Journal of Mathematical Education in Science and Technology 49:5, pages 643-659.
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Maria Cortas Nordlander & Edvard Nordlander. (2012) On the concept image of complex numbers. International Journal of Mathematical Education in Science and Technology 43:5, pages 627-641.
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Lara Alcock & Adrian Simpson. (2011) Classification and Concept Consistency. Canadian Journal of Science, Mathematics and Technology Education 11:2, pages 91-106.
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Articles from other publishers (20)

Anatoli Kouropatov & Regina Ovodenko. (2022) An explorative digital tool as a pathway to meaning: the case of the inflection point. Teaching Mathematics and its Applications: An International Journal of the IMA 41:2, pages 142-166.
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Ioannis Rizos & Maria Adam. (2022) Mathematics students’ conceptions and reactions to questions concerning the nature of rational and irrational numbers. International Electronic Journal of Mathematics Education 17:3, pages em0686.
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Evgenios Avgerinos & Dimitra Remoundou. (2021) The Language of “Rate of Change” in Mathematics. European Journal of Investigation in Health, Psychology and Education 11:4, pages 1599-1609.
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Irene Biza. (2021) The discursive footprint of learning across mathematical domains: The case of the tangent line. The Journal of Mathematical Behavior 62, pages 100870.
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Fernando Hitt & Sarah Dufour. (2021) Introduction to calculus through an open-ended task in the context of speed: representations and actions by students in action. ZDM – Mathematics Education 53:3, pages 635-647.
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Rogier Bos, Michiel Doorman & Margherita Piroi. (2020) Emergent models in a reinvention activity for learning the slope of a curve. The Journal of Mathematical Behavior 59, pages 100773.
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Elizabeth Montoya Delgadillo, Rosa Páez Murillo, Fabrice Vandebrouck & Laurent Vivier. (2018) Deconstruction with Localization Perspective in the Learning of Analysis. International Journal of Research in Undergraduate Mathematics Education 4:1, pages 139-160.
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Galit Nagari-Haddif & Michal Yerushalmy. 2018. Classroom Assessment in Mathematics. Classroom Assessment in Mathematics 93 105 .
Irene Biza, Elena Nardi & Theodossios Zachariades. 2018. Diagnostic Competence of Mathematics Teachers. Diagnostic Competence of Mathematics Teachers 55 78 .
Gunhan Caglayan. (2017) Meta-Representational Fluency: Math Majors’ Visualization of the l’Hospital’s Rule in a Dynamic Geometry Environment. Éducation et didactique 11:2, pages 63-101.
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Michal Yerushalmy, Galit Nagari-Haddif & Shai Olsher. (2017) Design of tasks for online assessment that supports understanding of students’ conceptions. ZDM 49:5, pages 701-716.
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Lara Alcock & Adrian Simpson. (2016) Interactions between defining, explaining and classifying: the case of increasing and decreasing sequences. Educational Studies in Mathematics 94:1, pages 5-19.
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Vicente Carrión Miranda, François Pluvinage & Robert Adjiage. (2016) Facilitating the genesis of functional working spaces in guided explorations. ZDM 48:6, pages 809-826.
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Gloria Sánchez-Matamoros, Ceneida Fernández & Salvador Llinares. (2014) DEVELOPING PRE-SERVICE TEACHERS’ NOTICING OF STUDENTS’ UNDERSTANDING OF THE DERIVATIVE CONCEPT. International Journal of Science and Mathematics Education 13:6, pages 1305-1329.
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Günter Törner, Despina Potari & Theodossios Zachariades. (2014) Calculus in European classrooms: curriculum and teaching in different educational and cultural contexts. ZDM 46:4, pages 549-560.
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Elena Nardi, Irene Biza & Theodossios Zachariades. (2011) ‘Warrant’ revisited: Integrating mathematics teachers’ pedagogical and epistemological considerations into Toulmin’s model for argumentation. Educational Studies in Mathematics 79:2, pages 157-173.
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Annie Selden. 2012. Proof and Proving in Mathematics Education. Proof and Proving in Mathematics Education 391 420 .
Irene Biza. (2011) Students’ Evolving Meaning About Tangent Line with the Mediation of a Dynamic Geometry Environment and an Instructional Example Space. Technology, Knowledge and Learning 16:2.
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George Santi. (2011) Objectification and semiotic function. Educational Studies in Mathematics 77:2-3, pages 285-311.
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Irene Biza & Theodossios Zachariades. (2010) First year mathematics undergraduates’ settled images of tangent line. The Journal of Mathematical Behavior 29:4, pages 218-229.
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