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Introducing angles in grade four : a realistic approach based on the van Hiele Model

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Introducing angles in grade four : a realistic approach based on the van Hiele Model

Smart, Angela (2008) Introducing angles in grade four : a realistic approach based on the van Hiele Model. Masters thesis, Concordia University.

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Abstract

This thesis is a study of teaching and learning Geometry, and, in particular, angles. The theoretical framework used in the research is a combination of a teaching theory called Realistic Mathematics Education (RME) and a learning theory called the can Hiele Model of Geometric Thinking. These frameworks, backed up by a historical study of geometry, were used in the design, experimentation and evaluation of a lesson where fourth grade students were introduced, for the first time, to the idea of angle and relations between angles of different sizes. The in-class experiment was conducted in two different fourth grade classrooms. The lessons were taught by teachers of the respective classrooms, based on a detailed script and materials prepared by the researcher. At the end of the lesson the students answered, in writing, questions on what they had learned during the lesson. These answers, combined with the classroom observations, provided a basis for the evaluation of the experiment. The written answers were categorized into analytical and narrative statements. The analytical statements were divided into the different levels of the van Hiele Model. The narrative statements were divided into whether or not they mentioned angles. The research findings suggest the usefulness of using lesson plans based on the two theoretical frameworks in helping students develop an analytical conceptualization of mathematics.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Smart, Angela
Pagination:ix, 175 leaves : ill. (some col.) ; 29 cm.
Institution:Concordia University
Degree Name:M. Sc.
Program:Mathematics
Date:2008
Thesis Supervisor(s):Sierpinska, Anna
ID Code:975815
Deposited By: Concordia University Library
Deposited On:22 Jan 2013 16:15
Last Modified:18 Jan 2018 17:41
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