The Role of the Teacher in Supporting Imagery in Understanding Integers

Akyüz, Didem
Dixon, Juli K.
This paper presents the results of a design experiment conducted in a 7th grade mathematics classroom aimed at improving students' understanding of integer concepts and operations. The study particularly focuses on an expert teacher's role in helping students develop meaningful imagery which students can use as a foundation to fold back and rely on as they engage in further mathematical activities. Toulmin's model of argumentation is used as an analytical tool to document when an image becomes taken-as-shared by the classroom community. The results suggest that the practices of the teacher played an important role in students' development of various images in understanding and solving integer problems meaningfully as well as communicating their ideas effectively.


The Case of planning and implementing mathematics and science integration in the 8th grade in a public middle school
Yeniterzi, Betül; Haser, Çiğdem; Işıksal Bostan, Mine; Department of Elementary Education (2016)
The purpose of the current study was to document preservice middle school mathematics teachers’ (PMSMT) classroom mathematical practices emerged through six-week instructional sequence about triangles. In this respect, the research question of “What are the classroom mathematical practices that are developed within design research environment using problem-based learning for teaching triangles to preservice middle school mathematics teachers?” guided the present study. In order to answer this research quest...
The effect of instruction with concrete materials on fourth grade students’ geometry achievement
Sarı, Sibel; Bulut, Safure; Department of Secondary Science and Mathematics Education (2010)
The primary purpose of this study was to investigate the effectiveness of concrete materials on fourth grade students’ geometry achievement. The secondary purpose was to investigate their opinions and feelings about instruction with concrete materials. The study was carried out in a private school in Ankara with 32 fourth grade elementary school students. One group pretest-posttest design was used. Geometry Achievement Test was administered to collect the necessary data. The instruction with concrete materi...
The effects of problem solving on the topic of functions on problem solving performance, attitude toward problem solving and mathematics
Özalkan, Bilgen Ege; Bulut, Safure; Department of Secondary Science and Mathematics Education (2010)
The purpose of the study was to investigate the effect of Problem Solving Method on 9th grade students‟ problem solving performance and attitudes toward mathematics and problem solving. This study was done in 2007-2008 academic year, in a private high school in Ankara. In the present study the experimental-control group pre-test post-test research design was used. The study was done with 67 students of the private high school. Experimental group was instructed with Problem Solving Method and control group w...
An instructional unit for prospective teachers' conceptualization of geometric transformations as functions
AVCU, SEHER; Çetinkaya, Bülent (Informa UK Limited, 2019-12-13)
This study explored prospective middle school mathematics teachers' developing understanding of geometric transformations through designing and implementing an instructional unit in a technology supported classroom environment. The instructional unit including seven activities was developed by considering past research on learners' pre-existing difficulties related to geometric transformations and research on learners' developing understanding of geometric transformations as functions. This instructional un...
ÖZGELDİ, MERİÇ; Çakıroğlu, Erdinç (2011-02-13)
This paper provides an analysis of mathematics teachers' use of curriculum materials. 13 elementary mathematics teachers participated in the interviews for how they used the curriculum materials, specifically textbooks. The purpose of this study is to examine what mathematics teachers do with curriculum materials and how they use them for mathematics. The results of the interviews indicated that mathematics teachers used different textbooks to make instructional decisions, and they mostly adapted problems a...
Citation Formats
D. Akyüz and J. K. Dixon, “The Role of the Teacher in Supporting Imagery in Understanding Integers,” EGITIM VE BILIM-EDUCATION AND SCIENCE, pp. 268–282, 2012, Accessed: 00, 2020. [Online]. Available: