Students’ evolving meaning about tangent line with the mediation of a dynamic geometry environment and an instructional example space

Biza, Irene ORCID: https://orcid.org/0000-0003-1727-3884 (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). pp. 125-151. ISSN 2211-1662

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Abstract

In this paper I report a lengthy episode from a teaching experiment in which 15 Year 12 Greek students negotiated their definitions of tangent line to a function graph. The experiment was designed for the purpose of introducing students to the notion of derivative and to the general case of tangent to a function graph. Its design was based on previous research results on students’ perspectives on tangency, especially in their transition from Geometry to Analysis. In this experiment an instructional example space of functions was used in an electronic environment utilising Dynamic Geometry software with Function Grapher tools. Following the Vygotskian approach according to which students’ knowledge develops in specific social and cultural contexts, students’ construction of the meaning of tangent line was observed in the classroom throughout the experiment. The analysis of the classroom data collected during the experiment focused on the evolution of students’ personal meanings about tangent line of function graph in relation to: the electronic environment; the pre-prepared as well as spontaneous examples; students’ engagement in classroom discussion; and, the role of researcher as a teacher. The analysis indicated that the evolution of students’ meanings towards a more sophisticated understanding of tangency was not linear. Also it was interrelated with the evolution of the meaning they had about the inscriptions in the electronic environment; the instructional example space; the classroom discussion; and, the role of the teacher.

Item Type:	Article
Faculty \ School:	Faculty of Social Sciences > School of Education and Lifelong Learning
UEA Research Groups:	Faculty of Social Sciences > Research Groups > Research in Mathematics Education
Depositing User:	Pure Connector
Date Deposited:	05 Feb 2014 13:28
Last Modified:	27 Oct 2023 01:08
URI:	https://ueaeprints.uea.ac.uk/id/eprint/45474
DOI:	10.1007/s10758-011-9180-3

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