• Communications of Mathematical Education
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• v.12
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• pp.249-264
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• 2001

학교수학을 가르치고 배우는 과정에서 교사의 역할은 기술 공학의 활용으로 변화하고 있다. 기술공학의 역할은 학생들로 하여금 수학에 대한 태도를 변하게 하여, 탐구적이며 창의적인 방법으로 수학을 공부하는데 열의를 갖도록 한다. 반면에 현재의 수학교수는 여전히 보수적이며 환경의 변화에 더디게 적응하고 있으나, 세상이 상당히 빨리 변하고 있으므로 기술공학을 활용하여 현재의 교수를 개선해 나가야 하겠다. 변화에 대한 인식과 갈망은 학습자료, 재정 상태, 그리고 기타 여러 가지 요인보다도 훨씬 중요하며 가장 중요한 것은 교수관점 및 교수견해의 변화에 대한 의지이다. 교사가 기호연산 실행 조작이 가능한 수학 학습용 컴퓨터 응용 소프트웨어와 이들을 탑재한 휴대용 수학학습 전용기를 중등학교수학에 적용할 경우, 수학교육에서 신중히 고려해야 할 것은, 첫째 모든 수준의 학생들을 격려하며, 둘째 대상 영역의 수학학습 내용을 이해하도록 기술공학을 활용한 새로운 교수 기법에 접근할 수 있어야 한다는 점이다.

• School Mathematics
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• v.9 no.2
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• pp.259-276
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• 2007

There have been a number of lesson analysis studies, yet not many studies address the issue of the perspective of students who play a key role in the lesson along with the teacher. The purpose of this study is to investigate how the teacher and the students interpret the mathematics lesson they experienced, and to find out the potential discrepancy between the teacher and the students in their perceptions of mathematics lesson. To pursue this purpose, 10 consecutive lessons were videotaped in the 8th grade mathematics classroom, and the video-stimulated post-lesson interviews were also conducted with the teacher and the students. Based on the lesson videos and the interview data, six discrepancies between the teacher and the students in their perceptions of mathematics lesson were dentified: the discrepancy between the teacher's intention and students' interest in the lesson; different interpretation and response to the teacher's mistake; formal abidance; topaze effect; different recognition of the students' preference among the topics; teacher's insufficient response to students' needs. These six discrepancies were further categorized and some implications were drawn.

• School Mathematics
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• v.15 no.4
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• pp.941-955
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• 2013

In this study, we conducted mathematics teacher training courses for an applying of 'Socratic method' in school mathematics. Teacher training courses were conducted with a total of 3 hours for 68 secondary mathematics teachers. In these courses, we overviewed the characteristics of Socratic method. Moreover we examined the mathematics lessons by Socratic method. And we dealt with the educational examples of Socratic method identified in previous studies. In addition, the survey was conducted before and after the teacher training courses. Through the survey, teachers have an opportunity to check their knowledge on Socratic method and reflect on their mathematics class. Based on the survey response data, we analyzed mathematics teachers' knowledge on Socratic method and the changes in teachers' thinking on their mathematics class. Based on the findings of this study, we proposed three directions of teacher education.

• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.387-407
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• 2014

This study investigeted secondary math teachers' difficulties of technology in geometry class with grounded theory by Strauss and Corbin. 178 secondary math teachers attending the professional development program on technology-based geometry teaching at eight locations in January 2014, participated in this study with informed consents. Data was collected with an open-ended questionnaire survey. In line with grounded theory, open, axial and selective coding were applied to data analysis. According to the results of this study, teachers were found to experience resistance in using technology due to new learning and changes, with knowledge and awareness of technology effectively interacting to lessen such resistance. In using technology, teachers were found to go through the 'access-resistance-unaccepted use-acceptance' stages. Teachers having difficulties in using technology included the following four types: 'inaccessible, denial of acceptance, discontinuation of use, and acceptance 'These findings suggest novel perspectives towards teachers having difficulties in using technology, providing implications for teachers' professional development.

• School Mathematics
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• v.12 no.2
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• pp.151-176
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• 2010

This research aims to conduct the teaching experiment based on the constructivism to elementary preservice teachers and report on how they construct and develop the mathematical knowledge on ratio concept. Furthermore, this research aims to examine the significances and difficulties of "constructivist teaching experiment" which are conceived by elementary preservice teachers. As the results of this research, I identified the possibilities and limits of mathematical knowledge construction by elementary preservice teachers in the "constructivist teaching experiment". And the elementary preservice teachers pointed out the significances of "constructivist teaching experiment" such as the experience of prior thinking on the concept to be learned, the deep understanding on the concept, the active participation to the lesson, and the experience of learning process of elementary students. Also they pointed out the difficulties of "constructivist teaching experiment" such as the consumption of much time to carry out the constructivist teaching, the absence of direct feedbacks by teacher, and the adaption on the constructivist lesson.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.227-251
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• 2014

In this study, we explored the preliminary model of multicultural mathematics teacher education to foster mathematics teachers' multicultural competencies. For the purpose, we investigated the multicultural competency of mathematics teachers with a survey questionnaire. We also interviewed mathematics teachers to analyze mathematics teachers' need of teacher education for multicultural mathematics education. In addition to the survey and the interview, we conducted a review of literatures to identify the principles, goals, contents, and methods for multicultural mathematics teacher education. In this research, we have identified 4 principles for multicultural mathematics teacher education: mathematics as culture, respecting diversity and equity, and identity. Under the principles, we presented 6 educational goals of teacher education for multicultural mathematics education. We chose the contents and the methods to promote the multicultural competency of mathematics teachers suitable for educational situation of Korean school. We integrated the principles, goals, contents and methods to design multicultural mathematics teacher education program for in-service teachers. Finally, we discussed the features and benefits of the preliminary model based on situational analysis for multicultural mathematics teacher education. We proposed that follow-up study is necessary to investigate the effect of the model for the future development of multicultural mathematics teacher education model.

• Journal of Educational Research in Mathematics
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• v.16 no.1
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• pp.43-58
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• 2006

An objective of this paper is to discuss the didactical contracts which have been conceptualized by Brousseau. He modelled mathematics instruction as a game. In such game, didactical contracts existed as its own hidden rules which teacher and student should obey Brousseau introduced it to reveal certain hidden rules which regulates mathematics instruction. Those rules are implicit and reciprocal. In particular, it is not revealed until students break. He defined didactical contracts as teacher's behaviour and corresponding students 'behaviour in order to define it operationally. He he did not define it in psychological and epistemological dimension. But it is necessary to discuss teacher's belief system and epistemology, since teacher's behaviour in instruction is affected by them. He also did not discuss fully teacher's breaking of didactical contracts.

• Journal of the Korean School Mathematics Society
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• v.21 no.3
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• pp.267-285
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• 2018

The purpose of this thesis is to analyze and compare 'Game Activities' of elementary mathematics textbooks developed in the national curriculum revised in 2015, and to find suggestions to improve 'Game Activities' of the textbooks based on the results. The main results of this study are as follows. First, as for materials, various types of materials were used in 'Game Activities'. Also, more various materials were included in 2nd grade textbooks and 1st, 2nd grade teacher's guidebooks than 1st grade textbooks. Second, this study analyzed the patterns of organization. The result showed that group and pair activities accounted for the highest rate among other patterns of organizations. Textbooks should include more pattern types of organizations that teachers could use them properly according to numbers of students in classes. For the 'Game Activities', students need to understand basic concepts of the chapter first. Students with lower levels would have difficulty participating in the 'Game Activities'. Thus, there is a need to include activities for students with lower levels in teachers' guidebooks, reflecting a variety of students levels.

• Journal of the Korean School Mathematics Society
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• v.14 no.2
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• pp.143-161
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• 2011

Mathematics PBL, which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using mathematical knowledge the students have. In spite of the attention, however, the implementations are yet significant. In this study, we worked to find the needs of mathematics teachers for mathematics PBL implementation. The methods of this study are taxonomic analysis and componential analysis by using cards depth interviewing. As a result, mathematics teachers' needs are to consider how to develop the mathematics PBL problems and how to make progress.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.69-88
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• 2010

This paper is the case study how we can apply the appropriate teaching method in order to correct the misconception of middle and high school students in preservice teachers' education. Through the review of previous research and literature, we categorized students' misconception and sought the teaching method to teach preservice teachers. During this process, we did according to PBL and preservice teachers also tried to find the teaching method for students. And thus we were able to suggest the appropriate teaching method which was effective in correcting the misconception of middle & high school students along with their fine understanding of mathematical concepts. Further, preservice teachers acknowledged cooperative teaching & learning and the importance of it as well as the self-directed teaching and learning.