A study on pre-service elementary mathematics teachers’ subject matter knowledge and pedagogical content knowledge regarding the multiplication and division of fractions

Download
2006
Işıksal, Mine
The purpose of this study was to examine pre-service mathematics teachers’ subject matter knowledge, pedagogical content knowledge, and the relationships between the two on multiplication and division of fractions. For this purpose, pre-service teachers’ understanding of key facts, concepts, principles, and proofs, their knowledge on common (mis)conceptions and difficulties held by the elementary students, their strategies of teaching these concepts, and representations they use to reason their understanding on multiplication and division of fractions were examined. Qualitative case study was performed where; data was collected from the pre-service teachers at the end of the spring semester of 2004-2005. Pre-service teachers were senior students enrolled in a teacher education program at a public university. Results revealed that pre-service teachers could easily symbolize and solve the basic questions on multiplication and division of fractions. However, in terms of pre-service teachers’ interpretation and reasoning of key facts and principles on multiplication and division of fractions, their subject matter knowledge could not be regarded as conceptually deep. Furthermore, although pre-service teachers have strong belief that they should teach multiplication and division of fractions conceptually, where the logical background of the operations is explained, they do not have sufficient knowledge to represent and explain these topics and relationships conceptually.

Suggestions

An analysis of teacher background indices and their relation to the eighth grade Turkish students’ mathematics achievement in TIMSS 2007
Mihyap, Kübra; Berberoğlu, Halil Giray; Department of Secondary Science and Mathematics Education (2011)
The purpose of this study is to investigate teacher background indices and their relation to mathematics achievement. For this purpose, the data collected from 146 Turkish mathematics teachers and 4498 8th grade Turkish students with the instruments - mathematics teacher background questionnaire and mathematics achievement test in the Trends in International Mathematics and Science Study (TIMSS 2007) were analyzed by using the Pearson’s Product Moment Correlation. The teacher background indices, constructed...
A case study of elementary mathematics teachers' views of their and students' textbook usage and of mathematics textbooks' characteristics
Başer, Nadiye; Haser, Çiğdem; Department of Elementary Science and Mathematics Education (2012)
The purpose of this study was to investigate teachers’ ways of using mathematics textbooks while planning the lesson and during the lesson, to document teachers’ views about elementary students’ usage of mathematics textbook during the classroom time and for their homework and teachers’ views about mathematics textbooks’ characteristics. A case study was conducted in a private elementary school with more class hours for mathematics and six mathematics teachers teaching 4th, 5th, 6th, and 7th grade mathemati...
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...
7th-grade students’ typical errors and possible misconceptions in graphs concept before and after the regular mathematics instruction
Tortop, Tuğba; Haser, Çiğdem; Department of Elementary Science and Mathematics Education (2011)
The purpose of this study was to investigate 7th-grade students’ typical errors and possible misconceptions in graphs concept before and after the regular mathematics instruction. The study was conducted in an elementary school in the 2nd semester of 2009-2010 academic year in Afyonkarahisar. A mathematics teacher and 71 7th-grade students participated in the study. The data were collected through achievement tests administered to the students before and after the instruction and interviews conducted with t...
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
M. Işıksal, “A study on pre-service elementary mathematics teachers’ subject matter knowledge and pedagogical content knowledge regarding the multiplication and division of fractions,” Ph.D. - Doctoral Program, Middle East Technical University, 2006.