• Journal of the Korean School Mathematics Society
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• v.19 no.3
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• pp.261-275
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• 2016

Many students have dualistic beliefs about mathematics and its learning- for example, there is always just one right answer in mathematics and their role in the classroom is receiving and absorbing knowledge from teacher and textbook. This article investigated some epistemic implications and limitations of common mathematics teaching practices, which often present mathematical facts(or procedures) and treat students' errors in a certain and absolute way. Langer and Piper's (1987) experiment and Oliveira et al.'s (2012) study suggested that presenting knowledge in conditional language which allows uncertainty can foster students' productive epistemological beliefs. Changing the focus and patterns of classroom communication about students' errors could help students to overcome their dualistic beliefs. This discussion will contribute to analyze the implicit epistemic messages conveyed by mathematics instructions and to investigate teaching strategies for stimulating students' epistemic development in mathematics.

• The Mathematical Education
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• v.46 no.4
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• pp.389-406
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• 2007

The purpose of this study is to understand the learning mathematics in elementary mathematics classroom by considering mathematics as a kind of social practices and mathematics classroom as a kind of community of practice. The research questions of this study are as followings: 1) Do the identities which teacher has on mathematics and teaching mathematics, influence the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics? 2) Do the social practices formed in mathematics classroom, and the identities which students has on mathematics and learning mathematics, influence the identities which teacher has on mathematics and teaching mathematics? This study was based on ethnomethodology. It was executed participation observations, interviews and surveys with teacher and 5 graders to collect the data for the social practices formed their classroom and their identities, and was analyzed the interaction between the social practices of mathematics classroom and teacher and students' identities. We found the scenes that teacher's identities influenced the social practices of mathematics classroom and students' identities, and also the scenes that the social practices of mathematics classroom and students' identities influenced teacher's identities. So, we could know that there existed the interaction between the social practices of mathematics classroom and teacher and students' identities.

• Journal of Educational Research in Mathematics
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• v.13 no.3
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• pp.267-286
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• 2003

The purpose of this study was to understand the structures underlying Korean elementary teachers' attitudinal beliefs toward reform-oriented mathematics instruction and predict their intentions to change traditionally-oriented teaching practice. The theory of planned behavior (TPB) developed by Fishbein and Ajzen provided a conceptual framework for the examination of factors that influence Korean teachers' beliefs, attitudes, subjective norms and perceptions of control factors. Data were gathered through a survey instrument from 281 teachers who teach mathematics in a metropolitan city of Korea. Descriptive statistics and multiple regression analyses were conducted to analyze the data. Findings indicate that Korean elementary teachers' change in Instructional practice is based primarily on their judgements regarding the likelihood of occurrences of certain consequences if they engage in teaching mathematics in a reform-oriented way. Teachers' perceptions of important others regarding the reform-oriented mathematics instruction seem to play a minor role in teachers' instructional change. Teachers' perceptions about control factors that prohibit or help teach mathematics in a reform-oriented way do not seem to make significant improvement in predicting their intentions to change traditionally-oriented teaching practice.

• Education of Primary School Mathematics
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• v.19 no.3
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• pp.211-222
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• 2016

This article examines K-8 pre-service teachers' (PSTs) engagement in lesson plan modification using the eight Mathematics Teaching Practices (MTPs) in Principles to Actions, the most recent landmark publication of framework by National Council of Teachers of Mathematics (NCTM) in the U.S. The activity consisted of four phases that involved the analysis and modification of an existing lesson plan. Fifty-seven PSTs participated in the activity throughout the semester, and data from each phase was analyzed using the inductive content analysis approach. PSTs' initial conceptions of lesson planning reflected little on teaching practices (i.e., the MTPs) with more emphasis placed on the form - rather than function - of lesson elements. With the opportunity to interpret MTPs and analyze lesson plans using MTPs as an analytical lens, PSTs demonstrated various interpretations of MTPs, made efforts to incorporate MTPs into lessons, and attended to the interwoven nature of MTPs. This article also shares the challenges, conflicts, and tensions reported by PSTs during their participation of lesson plan modification; as such, the results from this study will inform the research examining the pedagogical (im)possibilities for utilizing MTPs in mathematics teacher training programs.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.449-466
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• 2013

Mathematical discussion has been highlighted so that what students do actually guides their learning of mathematics and mathematical practice. However, the work of leading mathematical discussions has not yet been specified in such a way that it can be adequately studied and taught to teachers. This study analyzes a teacher's lessons that show full engagement in leading discussions, and examines the work of leading mathematical discussions in elementary classrooms. It identifies and illustrates the central tasks of leading mathematical discussions with single case questions with five steps. This article argues several key issues in leading mathematical discussions: helping students engage in struggling with important mathematical ideas, treating mathematical connections in an explicit and public way to have coherent and structured discussions, and parsing the work of teaching at a grain size that is usable in educating teachers.

• School Mathematics
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• v.18 no.1
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• pp.61-83
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• 2016

There has been a continual need for change of teachers' assessment practices as shifting a paradigm in education. Teachers' appropriate perception of assessment influences quality of assessment and leads to change of teachers' assessment practices. This study aimed at investigate prospective elementary teachers' perceptions on assessment in mathematics. To this end, we conducted a survey with the questionnaire which was developed based on previous studies on assessment. The questionnaire was composed of 41 questions about purposes and roles of assessment, materials of assessment, reliability of assessment, methods and strategies of assessment. 95 prospective elementary teachers participated in the survey. As a result, we found that prospective elementary teachers had appropriate perception on roles of assessment, materials of assessment and strategies of assessment, whereas they showed somewhat narrow perception on reliability of assessment, purposes and methods of assessment. Based on the results, we presented possible explanations about prospective elementary teachers' lack of perception on assessment and discussed implications for prospective elementary teacher education.

• The Mathematical Education
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• v.44 no.4 s.111
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• pp.525-534
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• 2005

The purpose of this study is to analyze difficulties in the density word problem solving process of seventh graders and to search for the way to increase their problem solving ability in the density word problem. The results of this study could help teachers diagnose students' difficulties involved in density word problem and remedy the understanding of the concept of density, algebraic expressions, and algebraic symbols.

• School Mathematics
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• v.12 no.4
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• pp.507-530
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• 2010

The purpose of this study was to help teachers for their teaching practice by analyzing the excellent lesson videos. To analyze the lesson videos between teacher and students, the researchers classified excellent lesson classes into four types as 'Discourse type', 'Representation type', 'Operation type' and 'Complex type' by mathematical communication pattern and kept close watch each lesson videos. Mathematical communication of the best discourse type classroom was analyzed in terms of questioning, explaining, and the sources of mathematical ideas. As a result, the number of Discourse type classes was 6. Operation type classes were 16 owing to characteristic of elementary class. Representation type class was 1 and Complex type class was 1. The Classes excluding Operation type was more planned by teachers. Teachers need to know about mathematical communication accurately because they designed just 5 lesson plan considering mathematical communication of students and only one of the lessons has the intellectual purpose of communication. Furthermore teachers should reflect questioning for student-to-student in their lesson plan.

• School Mathematics
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• v.12 no.4
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• pp.639-665
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• 2010

The purpose of this research is to seek for principles and methods of multicultural mathematics teacher education. It began with an overview of theories of multicultural education and of multicultural teacher education in order to address the questions of what is the goal of multicultural education and what constitutes the competence of multicultural teachers. Then, cases of multicultural mathematics teacher education were reviewed. Based on that, this research identified three domains of teacher competence: domains of affect, of cognition, and of behavior. This paper also presented what constitutes each domains of competence and how to promote the development of each type of teachers' multicultural competence. This paper discussed implications to multicultural teacher education in Korean society.

• The Mathematical Education
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• v.44 no.4 s.111
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• pp.603-625
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• 2005

Identity is the concept which approaches individuals' affective problems with the social and cultural view. The previous studies on the problems, studied the attitudes, beliefs, or emotions while they restricted the problems to teachers or students' private problems. Otherwise, identities focus on individuals which participate to any community and share its social practices(Mclead, 1994). This study purposed to get an understanding on the teaching and learning mathematics in elementary mathematics classroom with an ethnographic view, while we consider mathematics as a kind of social practices, and mathematics classrooms as communities of practice. We analysed teacher's identities on mathematics and teaching mathematics depending on her responses of the questions as following: How does she think about mathematics, what are the instructional goals in her mathematics classroom, how do students learn mathematics in her mathematics classroom. In addition, we analysed students' identities on mathematics and learning mathematics depending on their responses of the questions as following: What do students think of mathematics, do they like mathematics, why do they study mathematics, how do they feel their mathematics classroom(describe your classroom) and themselves in it(describe yourselves in your classroom), what are their duties and what do they do actually in their mathematics classroom.