An Investigation into middle school mathematics teachers‟ subject matter knowledge and pedagogical content knowledge regarding the volume of 3D solids

Download
2014
Tekin Sitrava, Reyhan
The purpose of this study was to examine middle school mathematics teachers' subject matter knowledge and pedagogical content knowledge of the volume of 3D solids. In order to achieve the purpose of the study, four middle school teachers working in public schools in Ankara participated in the study. To get deep and rich answers to research questions asked, qualitative methodology was used.Participants were selected through purposeful sampling. Data was gathered via questionnaire, semi-structured interviews, classroom observations, and field notes. The data was analyzed using constant comparative method. The findings revealed that although middle school teachers could generate alternative solution methods, they solved questions just using volume formula while teaching the topic to their students. Moreover, they were unable to generate story problems related to the volume of 3D solids using given numbers and terms. The teachers applied teacher-centered instructional strategy to teach the volume of 3D solids to their students. Furthermore, middle school teachers‟ knowledge of learners, such as interpretation of students‟ alternative solution methods, identifying their errors and the sources of them, was restricted by their experiences. Moreover, to make the topic more understandable, they altered the order of the sub-topics of 3D solids but their knowledge of the connection the volume of 3D solids with other topics was inadequate. The study showed that middle school teachers used both formative and summative assessment strategies such as informal questioning, homework, paper-pencil test, performance homework and project work. As a result of findings of the study, important implications and recommendations for further studies were suggested.

Suggestions

Pre-service middle school mathematics teachers’ pedagogical content knowledge regarding the area of triangles
Bilik, Aslı; Işıksal Bostan, Mine; Department of Elementary Science and Mathematics Education (2016)
The purpose of this study was to investigate pre-service middle school mathematics teachers’ pedagogical content knowledge on the concept of the area of triangles. In this respect, pre-service teachers' pedagogical content knowledge with respect to students' possible misconceptions/ difficulties regarding the area of triangles and the strategies that pre-service teachers employed to overcome these misconceptions/difficulties were examined. To conduct an in-depth investigation regarding the purpose of the st...
Investigating perceptions of preservice mathematics teachers on their technological pedagogical content knowledge (TPACK) regarding geometry
Bulut, Aykut; Işıksal Bostan, Mine; Department of Elementary Science and Mathematics Education (2012)
The aim of this study is to investigate perceptions of preservice mathematics teachers’ technological pedagogical content knowledge (TPACK) regarding geometry. In addition, the purpose is to examine the relationships among the components of TPACK. Moreover, possible gender and year of enrollment differences related to preservice mathematics teachers’ technological pedagogical content knowledge dimensions are examined. This research study has been conducted with 780 preservice mathematics teachers who are en...
An investigation of middle school mathematics teachers' knowledge for teaching algebra
Yilmaz, Nurbanu; Erbaş, Ayhan Kürşat (2017-01-01)
The purpose of this study was to investigate middle school mathematics teachers' knowledge for teaching algebra. The participants of the study were 48 mathematics teachers from various middle schools. A questionnaire was conducted in order to collect data about the teachers' knowledge related to teaching of algebra. The results showed that the participating teachers were competent in making transitions among different algebraic representations. However, they had difficulties in explaining the conceptual bas...
Developing eighth grade students’ mathematical practices in solids through argumentation: a design-based study
Şahin Doğruer, Şule; Akyüz, Didem; Department of Elementary Education (2018)
The purpose of this study was to obtain classroom mathematical practices of eighth graders’ during the concept of solids and to test the effectiveness of this content in an eighth-grade mathematics classroom. In this respect, an instructional sequence was used with guidance of a hypothetical learning trajectory. The context was basic elements of prisms, their surface area, basic elements of cylinder, its surface area and its volume. The process continued through four and half weeks. Argumentations, dynamic ...
An Analysis of prospective middle school mathematics teachers‘ argumentation structures in technology and paper-pencil environments
Erkek, Özlem; Işıksal Bostan, Mine; Department of Elementary Education (2017)
The purpose of the current study was to investigate the nature of argumentation structures of prospective middle school mathematics teachers while solving geometry tasks within the GeoGebra and Paper-Pencil groups. The study employed qualitative case study design and the data of which were collected from 16 prospective middle school mathematics teachers during the fall semester of the 2013-2014 academic year. Data were based on the video recordings of the implementations, the focus group interviews and docu...
Citation Formats
R. Tekin Sitrava, “An Investigation into middle school mathematics teachers‟ subject matter knowledge and pedagogical content knowledge regarding the volume of 3D solids,” Ph.D. - Doctoral Program, Middle East Technical University, 2014.