An instructional unit for prospective teachers' conceptualization of geometric transformations as functions

2019-12-13
AVCU, SEHER
Çetinkaya, Bülent
Show full item record
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
218
views
0
downloads
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 unit involving a hypothetical learning trajectory was tested and refined in two iterations. The data were obtained through the Transformation Geometry Questionnaire (TGQ) administered both before and after the instructional unit, the task-based interviews, classroom observations involving pairwise and whole class discussions, and the activity sheets completed by the participants during the course of instruction. The analysis of data showed that the participants were at or below the level of action conception prior to the implementation. During and after the implementation of the instructional unit, all the participants displayed progress in the action-object continuum. Thus, the instructional unit proved useful in helping participants conceptualize geometric transformations as functions and in integrating their knowledge of functions and geometric transformations. The implications for developing participants' understanding of geometric transformations were discussed.
Applied Mathematics, Education, Mathematics (miscellaneous)
https://hdl.handle.net/11511/35438
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY
Department of Mathematics and Science Education, Article

Suggestions

An in-service primary teacher's implementation of mathematical tasks: the case of length measurement and perimeter instruction
COŞKUN, SÜMEYRA DOĞAN; Işıksal Bostan, Mine (Informa UK Limited, 2019-05-01)
The purpose of this paper is to examine the cognitive demand levels of tasks used by an in-service primary teacher during length measurement and perimeter instruction and to examine a possible link between these tasks and the teacher's mathematical knowledge in teaching. For this purpose, a case study approach was used and the data was drawn from classroom observations, semi-structured interviews, and field notes. Specific tasks from length measurement and perimeter instruction were presented and analyzed a...
An investigation of mathematics achievement of eighth grade students with respect to their learning styles
Kurbal, Serkan Süleyman; Çakıroğlu, Erdinç; Department of Educational Sciences (2011)
This study aimed to investigate the differences in mathematics achievement scores of the eighth grade students with respect to their learning styles. Mathematics achievements of the eighth grade students were determined by the number of correct answers given in the mathematics subtest of Level Determination Examination (abbreviated in Turkish as SBS) which was administered in June 2009. Mathematics achievements of the eighth grade students were also determined by teacher-assigned mathematics grades which we...
A Phenomenological study on incorporating the history of mathematics into teaching from the perspective of primary and mathematics teachers
Sözen, Sinem; Akyüz, Didem; Çakıroğlu, Erdinç; Department of Elementary Science and Mathematics Education (2013)
The aim of the present study is to describe the incorporating the history of mathematics into teaching approach from the perspectives of primary and middle grade mathematics teachers in the classroom environment by means of phenomenological research design. Two primary and two mathematics teachers participated in the study. Data collected from three interviews and two lesson hours observation were analysed based on phenomenological research design. The teachers’ background information and the essence of inc...
Developing teachers' models for assessing students' competence in mathematical modelling through lesson study
Yenmez, Arzu Aydogan; Erbaş, Ayhan Kürşat; Çakıroğlu, Erdinç; Alacacı, Cengiz; Çetinkaya, Bülent (Informa UK Limited, 2017-01-01)
Applications and modelling have gained a prominent role in mathematics education reform documents and curricula. Thus, there is a growing need for studies focusing on the effective use of mathematical modelling in classrooms. Assessment is an integral part of using modelling activities in classrooms, since it allows teachers to identify and manage problems that arise in various stages of the modelling process. However, teachers' difficulties in assessing student modelling work are a challenge to be consider...
A case study of the use of manipulatives in upper elementary mathematics classes in a private school: teachers‟ and students‟ views
Yıldız Tuncay, Banu; Bulut, Safure; Department of Secondary Science and Mathematics Education (2012)
The purpose of this study was to investigate the views of upper elementary mathematics teachers and students about the use of manipulatives in teaching and learning mathematics. This study is a qualitative case study. The participants of this study were four elementary mathematics teachers in a private school and their 6th, 7th, and 8th grade students. The data were collected through one-to-one interviews, observations and analyzing documents consisting of annual plan, daily plan, notebooks of students, and...
Citation Formats
S. AVCU and B. Çetinkaya, “An instructional unit for prospective teachers’ conceptualization of geometric transformations as functions,” INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35438.
METU IIS - Integrated Information Service open@metu.edu.tr