• The Mathematical Education
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• v.55 no.2
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• pp.171-192
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• 2016

As teachers' competency is evaluated based on their teaching performance. pre-service teachers need to have an opportunity to reflect on themselves by systematically analyzing and evaluating their own lesson planning and teaching performance through self-assessment. In this study, we aimed to examine what evaluation criteria for lesson planning and teaching performance pre-service mathematics teachers consider in the process of self-assessment. This study used a mixed-methods research design. To draw the self-evaluation criteria for lesson planning and teaching performance, pre-service self-reported assessments were analyzed using qualitative analyses. In addition, descriptive statistics were used to investigate the pre-service teachers' distribution across the criteria and check the ratio of pre-service mathematics teachers for each element. As a result, it was disclosed that pre-service mathematics teachers considered eight elements in self evaluating their own lesson planning and teaching performance. In addition, we found that pre-service mathematics teachers tended to consider Pedagogical Content Knowledge (PCK) more than Subject-Matter Knowledge (SMK). Moreover, the results of this study provide educational implications for the curriculum in the pre-service teacher's education program.

• Research in Mathematical Education
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• v.11 no.4
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• pp.221-234
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• 2007

A comparison of mathematics teachers' personal beliefs between in- and pre-service teachers for Chinese secondary schools (grades 7-12) about mathematics theories, teaching and learning has been studied. In-service teachers' beliefs are close to constructivist's aspect and pre-service teachers' beliefs are close to absolutist's views. Based on the results, we give some suggestions to both teacher education and in-service teachers' training.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.63-80
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• 2019

This study aims to investigate noticing of pre-service secondary mathematics teachers. For the purpose of this study, we analyzed journals of four pre-service mathematics teachers. Our analysis was based on a framework including three categories such as Aware, Interpret, and Response. As results, we found a tendency that pre-service secondary mathematics teachers have more general awareness of students and relatively fewer interpretations of students' mathematical thinking than other categories. In addition, in the category of Response, the pre-service secondary mathematics teachers were more likely to explain to students than to promote students' thinking through questions. Based on these results, we would like to discuss implications for pre-service secondary mathematics teacher education.

• Research in Mathematical Education
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• v.16 no.1
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• pp.31-50
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• 2012

The present study explored whether the implementation of focused activities (intervention programme) can enhance 22 pre-service mathematics teachers' proficiency in solid geometry thinking level as well as change for the better their feelings in this discipline. Over a period of 6 weeks the pre-service teachers participated in activities and diversified experiences with 3D shapes, using illustration aids and actual experience of building 3D shapes in relation to the various spatial thinking levels. The research objectives were to investigate whether the intervention programme, comprising task-oriented activities of solid geometry, enhance mathematics pre-service teachers' mastery of their geometric thinking levels as well as examine their feelings towards this discipline before and after the intervention programme. The findings illustrate that learners' levels of geometric thinking can be promoted, entailing control on higher thinking levels as well as a more positive attitude towards this field.

• The Mathematical Education
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• v.58 no.3
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• pp.443-458
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• 2019

Mathematical modeling has been a crucial topic in mathematics education as students' problem solving competency are regarded as a core skill for future society. Despite of the importance of mathematical modeling in school mathematics, there have been very limited studies relating pre-service teachers' knowledge and perceptions on mathematical modeling. In this vein, this study aimed to investigate pe-service mathematics teachers' perceptions on mathematical model, mathematical modeling and educational use of mathematical modeling, and their relationships. The current study utilized a survey consisted of 18 items. The responses of 210 pre-service mathematics teachers to the survey items were quantitatively analyzed using descriptive statistics, analysis of variance, exploratory and confirmatory factor analysis, the structural equation model, and multi group analysis. The results of analysis of variance revealed that pre-service teachers in difference groups (majors, grades, and experiences with mathematical modeling) showed statistically significant differences in mean values. Moreover, according to the results from the structural equation modeling analysis, pre-service mathematics teachers' perceptions on mathematical model and modeling affected their perceptions on educational use of mathematical modeling. In addition, depending on their pre-experiences with mathematical modeling, pre-service teachers represented a different relationship between perceptions on mathematical modeling and educational use of mathematical modeling. Implications for future studies and mathematics classrooms were discussed.

• Communications of Mathematical Education
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• v.32 no.1
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• pp.59-77
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• 2018

This study aims to investigate reflections of secondary pre-service mathematics teachers and their changes through practicing as assistant teacher in mathematics classrooms. For the purpose of this study, research questions are addressed on the reflections and their changes. During the 2015 Spring semester, secondary pre-service mathematics teachers took a course related to working as assistant teachers in regular mathematics lessons in a middle school. This study selected cases of two pre-service teachers. The data such as reports on their practices and final meeting report with teachers were collected during the semester. The results showed that the secondary pre-service mathematics teachers reflected teachers, students, mathematics contents, and themselves in their reports. In addition, each participant showed different contents of reflections. This difference implied that secondary pre-service mathematics teachers could have different reflections according to the types of lessons that they participated in.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.831-842
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• 2010

In this study, in order to use history of mathematics effectively, we investigate the pre-service teachers' perceptions about utilizing history of mathematics. As a result, we must introduce history of mathematics will be able to apply concretely in class to the pre-service teachers. And We must provide the method which is various will be able to apply history of mathematics in class to the pre-service teachers enough. Also, We must provide the instance which relates in utilizing history of mathematics to pre-service teachers enough.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.125-141
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• 2022

The purpose of this study is to analyze how pre-service teachers perceive mathematics problems by making good mathematics problems at the elementary school level and applying them to elementary school students. In this study, 86 pre-service teachers enrolled in the second and third grades of A University of Education presented good mathematics problems they thought of. In addition, these pre-service teachers predicted the solution strategies of elementary school students for the proposed mathematics problem and described the teacher's expertise while observing the problem-solving process of elementary school students. As a result of the study, pre-service teachers preferred mathematical problems needed for using mathematical concepts or algorithms, motivation, and open-ended problems as good mathematics problems, and thought that students' in-depth observation and analysis experiences could help improve teachers' problem-solving expertise. In order to enhance teachers' expertise in solving mathematics problems, the researcher proposed for pre-service teachers to observe students' mathematics problem-solving processes, to experience in developing high-quality mathematics problems, and also to distribute high-quality mathematics problems linked to textbook problems.

• Research in Mathematical Education
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• v.26 no.1
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• pp.19-30
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• 2023

This study analyzes the tasks selected and implemented by pre-service mathematics teachers to support students' development of epistemic actions. Data was collected from 20 students who participated in a mathematics education curriculum theory course during one semester, and multiple data sources were used to gather information about the microteaching sessions. The study focused on the tasks selected and demonstrated during microteaching by pre-service teachers. The results suggest that providing students with a variety of learning opportunities that engage them in different combinations of abductive and deductive epistemic actions is important. The tasks selected by pre-service teachers primarily focused on understanding concepts, calculation, and reasoning. However, the use of engineering tools may present challenges as it requires students to engage in two epistemic actions simultaneously. The study's findings can inform the development of more effective approaches to mathematics education and can guide the development of teacher training programs.

• The Mathematical Education
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• v.57 no.4
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• pp.477-491
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• 2018

In this paper we study in-service teachers' and pre-service teachers' recognition the domain in the problem concerning the continuity of a function. By a questionnaire survey we find out that most of in-service teachers and pre-service teachers are understanding the continuity of a function as explained in high school mathematics textbook, in which the continuity was defined by and focused on comparing the limit with the value of the function. We also notice that this kind of definition for the continuity of a function makes them trouble to figure out whether a function is continuous at an isolated point, and to determine that a given function is continuous on a region by not considering its domain explicitly. Based on these results we made several suggestions to improve for in-service teachers and pre-service teachers to understand the continuity of a function more exactly, including an introduction of a more formal words usage such as 'continuous on a region' in high school classroom.