Problem solving is recognized as an important life skill involving a range of processes including analyzing, interpreting, reasoning, predicting, evaluating and reflecting. For that reason educating students as efficient problem solvers is an important role of mathematics education. Problem solving skill is the centre of mathematics curriculum. Students' gaining of that skill in school mathematics is closely related with the learning environment to be formed and the roles given to the students. The aim of this study is to create a problem solving based learning environment to enhance the students' problem solving skill. Within this . . .scope, students' practiced activities and problems that provide them to proceed in Polya (1945)'s problem solving phases and throughout the study, students' success in problem solving have been evaluated. While experimental group students received problem solving based learning environment performed, control group students have continued their present program in this quise-experimental study. Eleven problem solving activities were given to the students at the beginning, middle and end of the study and the students' performances were analyzed based on problem solving phases. The findings illustrated that the experimental group students' success in problem solving activities has increased while the control group students' success has not changed significantly
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The aim of this study is to reveal concept development and the way limit and continuity concepts are understood by students from different levels of education. For this purpose, a test comprising open-ended questions about verbal, algebraic and graphical representations of concepts was administered to students from different levels of education. When students' understandings of limit and continuity concepts are compared, the pre-service teachers in their 3rd year of study were found much less successful than other students in algebraic, verbal and graphical representations of limit and continuity concepts. It may be recommended that . . . when designing instructional activities verbal, graphical and algebraic representations should be prioritized to enhance the development of students' interpretation skills of different representations of functions
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Statistical thinking has gained importance recently. The purpose of the research study is to analyze terms associated with statistical thinking, statistical thinking models, and to examine differences among statistical thinking models. These models have been developed by researchers in order to identify species of statistical thinking and how the students solved problems. In addition, these models provide the material for educational research. In this study, five statistical thinking models are discussed compared by considering different aspects of these models. These statistical models are Ben-Zvi and Friedlander (1997), Wild and P . . .fannkuch (1999), Jones et al (2000), Hoerl and Snee (2001) and Mooney (2002). This study provides researchbased knowledge that can be used by teachers and researchers to inform statistical thinking. If these models are known by teachers and researchers, they can be useful for overcoming the difficulties encountered in the teaching of statistics
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This study is a part of a large scale project in which an action research design is used to teach proof to 11th grade students. This part of the project aims to identify students' comprehension level through five proof comprehension tests developed by the researchers based on the National Geometry Curriculum. Data were analyzed by considering the framework of Yang and Lin's (2008) multilevel model. Results showed none of the students were successful at the most sophisticated level of the proof comprehension tests which requires conducting a proof in various ways or proving different theorems by using the same proof methods. Moreover . . ., the highest proof comprehension was obtained from the level containing knowledge about definition, properties, and meanings of symbols. Achievement and comprehension decreased for components of a proof needing higher level mathematical skills. Based on the study's results, suggestions about teaching proof are provided
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