Turkish Journal of Computer and Mathematics Education

1-23

Authors: Berna Cantürk Günhan, Hatice Açan

This study evaluates with the meta-analysis method that is defined as a systematic review of experimental studies the results of the dynamic geometry software applied in Turkey in the last nine years and analyzes the effect of using dynamic geometry software on the success of geometry. In order to access these studies, the YÖK National Thesis Center, Ulakbim and Google Scholar databases were reviewed. As a result of a survey of the literature of dynamic geometry software a total of 41 studies on the effect on students' achievements in geometry were included in the meta-analysis. An effect size value of 43 was calculated from these studies. As a result of necessary analyses, it was concluded that using dynamic geometry software in Turkey is more successful than ongoing education and the calculated effect size of 0.954 is at a strong level. Comparative effect sizes according to education level, application duration, sample size and publication size were calculated and it was discovered that effect size on academic success does not differ according to education level, application duration, sample size and publication size. According to the results obtained in the study, recommendations were made to researchers.

35-61

Authors: Samet Korkmaz, Sefa Dündar, Hakan Yaman

he aim of this research is to reveal what the mathematical habits of mind which are observed on the mathematics teachers serving at the public schools are. This study is a survey research which falls under descriptive researches group and was conducted with 52 mathematics teachers. While collecting data, “Knowing Our Own Habits as a Mathematician” form were used and 6 problems were solved by teachers. Frequency, percentage, mean, and standard deviation values and Mann Whitney-U and Kruskal Wallis-H tests were used for data analysis. The findings obtained as a result of the researches showed that the teachers who participated in the study have different opinions on their mathematical habits of mind and the majority of the teachers think the habits of mind are effective both inside and outside the class. It was found that the difference between the opinions of the teachers on their own habits and their habits in practice is not statistically significant in terms of gender. According to the professional seniority variable, it was observed that the opinions of the teachers on habits of mind do not differ excluding generalization habit; and the higher the professional seniority is, the higher generalization preferences of the teachers are. It was found that the difference of habits of mind of the teachers in practice, in terms of professional seniority is not statistically significant.

89-111

Authors: Didem Akyüz

The importance of the use of technology in mathematics education has been demonstrated by many studies. Effective use of technology has been found to support the conceptual understanding of students. However, it is also found that, having only technological knowledge is not sufficient for using technology effectively in teaching mathematics; technological knowledge must be supported by pedagogical and content knowledge as well. It is stated that a teacher who effectively integrates these three types of knowledge has technological pedagogical content knowledge (TPACK). In order for teachers to acquire this knowledge, it is important for them to take courses that support TPACK during their pre-service training. However, the type of instruction that they receive during such a course may have an impact on whether they actually acquire TPACK or not. In this study, we investigate a total of 80 pre-service teachers who took a class called “Exploring Geometry with Dynamic Geometry Applications” with different types of instruction over the course of 5 semesters. The participants involved a mixed group of junior, senior, and graduate students which allowed us to analyze the effect of class level and the type of instruction in the student’s ability to acquire TPACK. To analyze the students’ TPACK level, we performed document analysis using the theoretical framework developed by Bowers and Stephens after reinterpreting it based on the literature and the data collected during this study. It was found that the majority of the graduate students achieved Technological Content Knowledge (TCK). Additionally, it was observed that the type of instruction as well as students’ class level is important in developing TPACK. The obtained results allow us to make conclusions about how the contents and the instruction method of a course should be designed such that it better promotes TPACK achievement.

142-163

Authors: Deniz Kaya, Cenk Keşan, Dilek İzgiol, Yusuf Erkuş

The basic aim of this study is to determine the success levels of algebraic reasoning skills of the seventh grade students in secondary schools. The quantitative research method has been used in the study and the Algebraic Reasoning Evaluation Tool (ARET), which was developed by Kaya (2015), was used in the study as the data collection tool. This tool consists of seven dimensions and is intended for determining the algebraic reasoning skills of the students. The ARET consists of 38 questions, 16 of which are multiple choice questions and 22 of which are open-ended questions. The study group consisted of 146 students in total, 76 of whom were males and 70 of whom were females studying at the seventh grades of a secondary school at the city center of İzmir. When the descriptive analysis results are examined, it is observed that the test points of the students in terms of recognizing and using algebraic structures/relations, using the algebraic expressions of the same data, determining the proper algebraic reasoning, making deductions on algebraic expressions, making algebraic operations for the purpose of deduction, deciding on the accuracy of the result and the solution way, and solving problems that are not routine were at lower levels or at the medium levels. When all the sub-dimensions of the study are considered, no meaningful relations are found between the algebraic reasoning skills of the female and male students.

188-206

Authors: Hande Gülbağcı Dede, Hatice Akkoç

The aim of this study is to compare professional identity of pre-service mathematics teachers in pedagogical formation certificate program and undergraduate teacher education program in the context of pre-service teachers’ stories of becoming a mathematics teacher. A total of 113 pre-service elementary mathematics teachers participated in the study. 58 of them were enrolled in undergraduate teacher education program and 55 of them were enrolled in pedagogical formation certificate program. Demographic questionnaire and reflective essays on pre-service teachers’ stories of becoming a teacher were used as data collection tools. Demographic questionnaires were analyzed descriptively and pre-service teachers’ writings were analyzed using content analysis. Data analysis indicated that two groups had similarities in reasons for why they chose teaching as a profession and mathematics as a subject for teaching. Their earlier teaching experiences in high school and their role model teachers were the most observed reasons for why they chose teaching as a profession. The main difference between the two groups was their determination for aiming to be a teacher. Participants in the undergraduate teacher education program decided to be a teacher in high school while some of the participants in the other group decided to have a teaching certificate just in case they might need it in the future. Interest and success in mathematics were the most important factors for choosing mathematics as a subject for teaching in both groups.

229-258

Authors: Adnan Baki, Bahar Bektaş Baki

The purpose of this study is to compare secondary school mathematics teacher training programs in Turkey and Germany in terms of entry requirements, training time, professional appointment process of the teacher candidates. Due to the nature of comparative studies documents are obtained from two different sources of data and descriptive analysis was conducted. In the stage of data collection the existing practices about teacher training in Germany and Turkey, books, magazines, printed resources such as scientific articles were used. According to the comparative findings the teacher training programs in Turkey are trying to obtain the needed subject area knowledge and pedagogical content knowledge theoretically. In Germany the needed knowledge are trying to give in a more practical way. On the other hand, both countries are different from each other in terms of entry conditions to teacher training institutions and conditions of appointment of the profession. in Germany teacher candidates go through many processes to be appointed as a noble teacher. It is seen that teacher candidates in Turkey have less time and opportunity in terms of teacher training and practice.

274-284

Authors: Şeyda Birni, Zekeriya Karadağ

Bu çalışmada “Değişen Dünya İçin Geometriyi Anlamak: NCTM’in 71. Yıl Kitabı” (Understanding Geometryfor a Changing World: NCTM's 71st Yearbook) isimli kitabın incelemesi yapılmıştır. Kitap üç ana bölümden oluşmaktadır. “Geometrik Vizyonu Geliştirmek” isimli ilk bölüm, altı makaleden, “Geometri Öğrenme” isimli ikinci bolum, beş makaleden ve “Anlamak İçin Geometri Öğretme” isimli son bolum ise on iki makaleden oluşmaktadır. Çalışmanın amacı her bir makalenin ana fikrini ve değindiği önemli noktaları ortaya koymak olduğundan, içerik analizi yöntemi kullanılmıştır.