Analysis of analogy use on function concept in the ninth grade mathematics textbook and classrooms

Download
2009
Ünver, Emel
The primary objective of the current study was to examine how analogies are used on function concept in the ninth grade mathematics textbook and classrooms. Using qualitative research procedure comprising textbook analysis and classroom observations, a picture was developed of how analogies used on function concept in ninth grade mathematics textbook and classrooms. One mathematics textbook, the primary source for observed classes was selected and analyzed for the study. Chapter entitled as “functions” in the selected textbook was closely examined for use of analogies therein. Subtitles of the chapter used in the analysis were identified according to the subtitles taught in observed classes. Moreover, the data were obtained from the observation of two teachers’ 9th grade mathematics clasess during the 7-week data collection period. Totally, twenty-five lessons were videorecorded. Having determined which comparisons would be counted as analogies, each of the textbook and classroom analogies was classified according to an analogy classification framework including eight criteria, modified from that of Thiele and Treagust’s (1994). Analysis of the textbook suggested that all the analogies were enriched and functional, majority of them presented in both verbal and pictorial formats, most of them were advance organizers or post-synthesizers and some of them were embedded activators. However, none of them was explained completely and contained any limitations. On the other side, analysis of classroom analogies revealed that nearly all the analogies were functional, enriched or extended presented verbally as embedded activators, and all of them explained absolutely without any stated limitations.

Suggestions

Mathematical Knowledge for Teaching the Function Concept and Student Learning Outcomes
Hatisaru, Vesife; Erbaş, Ayhan Kürşat (Springer Science and Business Media LLC, 2017-04-01)
The purpose of this study was to examine the potential interrelationships between teachers' mathematical knowledge for teaching (MKT) the function concept and their students' learning outcomes of this concept. Data were collected from two teachers teaching in a vocational high school and their students through a function concept test for teachers and students, follow-up interviews with teachers, and classroom observations. Findings indicated that teachers' MKT and students' learning outcomes were related to...
The nature of prospective mathematics teachers' pedagogical content knowledge: the case of multiplication of fractions
Işıksal Bostan, Mine; Çakıroğlu, Erdinç (Springer Science and Business Media LLC, 2011-06-01)
The purpose of this study was to investigate prospective mathematics teachers' knowledge of common conceptions and misconceptions that sixth and seventh grade students had about multiplication of fractions. In addition, prospective teachers' knowledge of the sources of these misconceptions and strategies they knew to overcome these misconceptions was examined. Data were collected from 17 Turkish prospective teachers at the end of the spring semester of the 2004-2005 academic year. A case study design was us...
Exploring secondary mathematics teachers’ conceptions of mathematical literacy
Genç, Murat; Erbaş, Ayhan Kürşat; Department of Secondary Science and Mathematics Education (2017)
The purpose of this research study was to investigate secondary mathematics teachers’ conceptions of mathematical literacy. In doing so, the following three crucial interrelated issues were addressed: (i) teachers’ conceptions of what the notion of mathematical literacy means, (ii) teachers’ conceptions of how the development of mathematical literacy could be facilitated, and (iii) teachers’ conceptions of what a mathematics curriculum emphasizing mathematical literacy should look like. The data gathered fo...
The effects of a mathematics teaching methods course on pre-service elementary mathematics teachers’ content knowledge for teaching mathematics
Seviş, Şerife; Koç, Yusuf; Department of Elementary Science and Mathematics Education (2008)
The purpose of this study is to examine the effects of a mathematics teaching methods course on pre-service elementary mathematics teachers’ content knowledge for teaching mathematics (CKTM). In order to accomplish this purpose, pre-service mathematics teachers’ understanding of basic concepts and procedures in school mathematics, use of mathematical definitions, presentation of mathematical content to students, identification of common errors, misconceptions and solution strategies and evaluation of unusua...
Mathematical Practices of Eighth Graders about 3D Shapes in an Argumentation, Technology, and Design-Based Classroom Environment
Dogruer, Sule Sahin; Akyüz, Didem (Springer Science and Business Media LLC, 2020-01-02)
This design research investigated the mathematical practices that eight graders (14-year-old students) developed when learning about prisms, cylinders, and their surface areas. An inquiry-based learning environment was created for students to engage in argumentation. The instruction was enriched by use of a dynamic geometry software, namely GeoGebra, to assist students in visualizing and reasoning about 3D shapes. Rasmussen and Stephan's three-phase method (2008) was used to organize the collected data, whi...
Citation Formats
E. Ünver, “Analysis of analogy use on function concept in the ninth grade mathematics textbook and classrooms,” M.S. - Master of Science, Middle East Technical University, 2009.