Date of Award

1-1-2017

Language

English

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

College/School/Department

Department of Education Theory and Practice

Content Description

1 online resource (iii, xi, 184 pages) : illustrations (some color)

Dissertation/Thesis Chair

Alandeom Oliveira

Committee Members

Abbe Herzig, Caro Williams-Pierce

Keywords

Conception of Limits, Construction of Knowledge, Discourse, Vygotsky Space, Mathematics, Calculus, Group work in education, Learning

Subject Categories

Education | Science and Mathematics Education

Abstract

Observing a group discussion, it is not possible to infer an individual student’s understanding from the dialogue. When students discuss, they share their individual ideas to develop a collective understanding which in turn informs students’ individual understanding. Clarifying the relationship between collective and individual understanding provides insight into how individuals construct mathematical thinking. This study presented an embedded case study to answer three questions regarding the role discourse plays in student development of mathematical knowledge: (1) how individual students construct mathematical knowledge through discourse, (2) the nature of discourse which supports the development of mathematical knowledge, and (3) the relationship between the collective and individual students’ mathematical knowledge.

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