Models of students’ conceptions about the tangent line

Research output: Chapter in Book/Report/Conference proceedingChapter


The results presented in this paper are a part of a doctoral study nearing completion which focuses
on students’ conceptions about tangent lines. The study explores the ways in which students who
have studied tangents in school in different contexts (Euclidean Geometry, Analytic Geometry and
Analysis): (i) perceive properties that are not generally valid as defining conditions of the concept
and (ii) create new, often not-valid, properties out of the fusion of information from across the
different contexts. Data was collected through a questionnaire administered to 182 first year
mathematics undergraduates in Greece at the very beginning of their studies. Here I exemplify from
the data analysis in the course of which several models of the tangent line have emerged based on
the above properties.
Original languageEnglish
Title of host publicationProceedings of the 11th International Conference on Mathematics Education (ICME), Topic Study Group 2, Learning and Cognition in Mathematics: Student formation of mathematical conceptions, notions, strategies, and beliefs
Place of PublicationMonterrey, Mexico
Publication statusPublished - 2008

Cite this