• Journal of Educational Research in Mathematics
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• v.13 no.2
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• pp.143-157
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• 2003

This paper is to make strides toward an enriched understanding of mathematics teacher learning and professional development. Different theoretical frameworks in understanding mathematics teacher learning are reviewed, followed by a discussion of the relationships of knowledge and teaching practice. This paper then analyses contemporary conceptions about effective professional development and, in particular, deals with teacher learning in inquiry communities. This paper introduces a research project describing transition processes from teacher- centered mathematics classroom culture to student-centered culture and analyzing teacher learning in communities and its concomitant change in teaching practice. On the basis of the emerging problems in doing the project, this paper finally addresses some crucial issues on teacher learning and professional development, including the management of an inquiry community, the description of teaching practice from the researcher's perspective, and the analysis of teacher learning in communities.

• Education of Primary School Mathematics
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• v.20 no.2
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• pp.153-162
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• 2017

This study examined elementary pre-service teachers' (PSTs') perceived preparedness of high-leverage practices (HLPs) in mathematics teaching. Eighty-one elementary PSTs who enrolled in four sections of an elementary mathematics methods course at a Midwestern University in the United States participated in a survey that inquired their self-reported confidence and competence levels on HLPs. This study specifically investigated the comparison between PSTs' perceptions of HLPs and the mathematics teacher educators' expectations. Findings show several glaring differences between the PSTs' perceptions and experts' perceptions in regards to the complexity of some HLPs. This study suggests that initial teacher training programs should include more specific investment in PSTs' insights into details of each teaching practice in mathematics by deliberate decompositions.

• Journal of the Korean School Mathematics Society
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• v.9 no.3
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• pp.265-286
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• 2006

Given that less attention has been paid to teachers than students in mathematics education, this study attempted to provide theoretical foundations to understand better mathematics teacher learning and teaching practice in transition. First, this paper summarized three conceptions of teacher learning on the basis of the relationships of knowledge and practice followed by several implications to mathematics teacher education. Second, this paper provided a brief overview of cognition as situated, social, and distributed. This paper then explored new implications and issues about mathematics teacher learning that the overview brought to light. It is expected for teacher educators and researchers to participate in rich discussion of many implicit issues about teacher learning that this paper begins to raise.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.143-164
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• 2013

Despite the recent emphasis on mathematical communication, little practical guide has been provided for a teacher with what to do for orchestrating high-quality discussions in a mathematics classroom. This paper analyzed 20 elementary mathematics lessons which were recognized as effective instruction in Korea using an analytic framework with regard to 5 practices for orchestrating productive mathematics discussions (i.e., anticipating, monitoring, selecting, sequencing, & connecting) by Smith and Stein (2011) in terms of performance scales from Level 0 to 3. The results of this study showed that the most frequent levels were Level 1 including undesirable practices and Level 2 including insufficient practices. There were only one or two lessons per practice which were assessed as Level 3 of good performance. Specifically, Level 2 was the most frequent with regard to monitoring and selecting, whereas Level 1 was the most frequent as for the other practices. This paper provides some implications for co-ordinating productive mathematics discussions.

• Journal of the KSME
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• v.22 no.2
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• pp.95-100
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• 1982

공업전문대학은 신설된 것을 제외하고는 대부분 공업전문학교가 개편된 것이며, 교육목적, 교육 과정, 교원, 시설등에 있어서 큰 변화가 있는 것은 아니었다. 80년도말 조사에 의하면 전국 35 개 공업전문대학이 있으며, 이 가운데 기계과는 23 개교, 기계설계과는 15 개교가 각각 설치되어 있다. 교원은 대체로 일반대학교원들과 유사하며, 담당교과목과 직접 연관이 있는 현장실무경험을 갖춘 교원은 극소수에 지나지 않는다. 교육과정은 대체로 4 년제 공과대학에서 과하는 전공교 과목이 상당수 포함되어 있을뿐만 아니라 교과목내용이나 수준이 비슷하여 전문대학으로서 뚜 렷한 독립적 교육프로그램이 확립되지 못하고 있는 독점이다. 실험실습시설은 일반적으로 빈약한 편이며 교수법에 있어서도 교수중심의 강의중심이 지배적이며, 평가 또한 필기위주의 중간고사와 기말고사에 의존하고 있는 것이 일반적으로 관행으로 되어 있다.

• Journal of Educational Research in Mathematics
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• v.14 no.3
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• pp.283-304
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• 2004

This study is to make strides toward an enriched understanding of changing a prevailing teacher-centered mathematics classroom culture to a student-centered culture by analyzing six reform-oriented classrooms of three elementary school teachers throughout a year This study provided a detailed description of important classroom episodes to explore how the participants in each class established a reform-oriented mathematics microculture. Despite the exemplary form of student-centered instruction, the content and qualities of the teaching practices are somewhat different in the extent to which students' ideas become the center of mathematical discourse and activity. Given the similarities in terms of general social norms and the differences in terms of socio-mathematical norms and mathematical practice, this study addresses some crucial issues on understanding the culture of elementary mathematics classroom in transition.

• 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.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.549-569
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• 2015

Reflecting on own beliefs about teaching and learning, developed during "the apprenticeship of observation", is a central task for pre-service years. This case study analysed a lesson observation course which could identify, challenge pre-service teachers' folk pedagogy about classroom communications and induce to change of beliefs about teaching and learning. Our analysis shows that targeting and refuting pre-service teachers' specific belief may be an effective strategy for teacher educators to foster new 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.