• 한국수학교육학회지시리즈A:수학교육
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• 제45권1호
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• pp.75-96
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• 2006

The purpose of this study was to analyze how elementary pre-service teachers learned the pedagogical content knowledge of mathematics and to understand the challenges and difficulties that they experienced in the course of student teaching. A qualitative case study provided an in-depth description of the whole three weeks of student teaching process. Four pre-service teachers and two mentor teachers participated in this study. Multiple data collection techniques were used; classroom observations, in-depth interviews, document analysis, and researcher's field notes. The results of this study showed how pre-service teachers learn PCK of mathematics in designing mathematics lessons, understanding mathematics learners and delivering mathematics lessons and what are the difficulties and challenges they experienced. Finally this study discussed about some suggestions to pre-service program and future research.

• 한국수학교육학회지시리즈A:수학교육
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• 제48권1호
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• pp.93-105
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• 2009

Considering the fact that PCK(pedogogical content knowledge) tends to guarantee the identity of mathematics education as a discipline and the teacher professionalism, PCK is one of the core concepts in the research on subject matter education. The purpose of this study is to review domestic and international researches on the definition and the components of PCK in mathematics. Based on the review, this study identified 3 knowledges which consist PCK; knowedge of mathematic content, knowledge of learner's understanding, and knowledge of teaching. Then this study provided some examples of PKC in the topic, the limit of sequences, and introduced the LMT and TEDS-M items, which were designed to measure the teacher's PCK. Lastly, this study attempted to evaluate the items on mathematics education included in the Teacher Employment Test administered for pre-service/. teachers in Korea based on PCK.

• 대한수학회보
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• 제55권5호
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• pp.1463-1481
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• 2018

Let $X=\{X_t\}_{t{\geq}0}$ be a $L{\acute{e}}vy$ process in ${\mathbb{R}}^d$ and ${\Omega}$ be an open subset of ${\mathbb{R}}^d$ with finite Lebesgue measure. The quantity $H_{\Omega}(t)={\int_{\Omega}}{\mathbb{P}}^x(X_t{\in}{\Omega})$ dx is called the heat content. In this article we consider its generalized version $H^{\mu}_g(t)={\int_{\mathbb{R}^d}}{\mathbb{E}^xg(X_t){\mu}(dx)$, where g is a bounded function and ${\mu}$ a finite Borel measure. We study its asymptotic behaviour at zero for various classes of $L{\acute{e}}vy$ processes.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제25권2호
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• pp.135-158
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• 2022

This study aimed to building models to understand the relationships between reasoning resources and content knowledge. We applied Support Vector Machine and linear models to the data including fifth graders' scores in the Cornel Critical Thinking Test and the Iowa Assessments, demographic information, and learning science approach (a student-centered approach to learning called the Science Writing Heuristic [SWH] or traditional). The SWH model showing the relationships between critical thinking domains and academic achievement at grade 5 was developed, and its validity was tested across different learning environments. We also evaluated the stability of the model by applying the SWH models to the data of the grade levels. The findings can help mathematics educators understand how critical thinking and achievement relate to each other. Furthermore, the findings suggested that reasoning in mathematics classrooms can promote performance on standardized tests.

• East Asian mathematical journal
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• 제39권2호
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• pp.199-227
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• 2023

The Korean government initiated an educational policy regulating academic acceleration in schools (e.g., regulating teaching or assessing above-grade-level content) in order to normalize public education and prevent the growth of private tutoring. To analyze whether the policy is achieving its intended goals, this study examined how high school mathematics teachers responded to the policy. The findings indicate four distinct teacher responses: the teachers would teach above-grade-level lessons in classes, but not assess them on a test; the teachers sought academic acceleration to prevent excessive private tutoring, although the policymakers thought that teachers' academic acceleration results in an excessive demand for private tutoring; the teachers were willing to teach above-grade-level content for students, but they were reluctant to teach below-grade-level content due to the time constraints; and the teachers recognized that the policy limited their curricular autonomy, even though it was intended to ensure their autonomy. Implications for mathematics teacher educators and policymakers are discussed.

• East Asian mathematical journal
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• 제36권4호
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• pp.493-513
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• 2020

The reason for this study is that the learning content of geometric construction in school mathematics is very insufficient. Geometric construction not only enables in-depth understanding of shapes, but also improves deductive proof skills. In school mathematics education, geometric construction is a very important learning factor, and educational significance is very high in that it can develop reasoning skills essential to the future society. Nevertheless, the reduction of geometric construction learning content in Korean curriculum and mathematics textbooks is against the times. Therefore, the purpose of this study is to analyze the transition of geometric construction learning contents in middle school mathematics curriculum and mathematics textbooks. In order to achieve the purpose of this study, the following studies were conducted. First, we analyze the characteristics of geometric construction according to changes in curriculum and textbooks. Second, we develop a framework for analyzing geometric construction tasks. Third, we explore geometric construction tasks according to the developed framework. Through this, it is expected to provide significant implications for the geometric areas of the new middle school curriculum that will be developed in the future.

• 한국수학교육학회지시리즈A:수학교육
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• 제52권1호
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• pp.65-82
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• 2013

This study has to do with storytelling. In this study, analyzed the domestic and international academic literature and scientific papers. The purpose of this study is to provide the meaningful basic material on mathematics education for the development of storytelling lesson model and teaching material. First, we analyze the causes and background storytelling appeared. The psychologists found that the human cognition's structure consists of a narrative system. And, We realize that the problem 'How will attract the attention of the students in math class' will be solved by storytelling. Second, the means of storytelling about the educational value and benefits were discussed in Mathematics Education. The story has a powerful force in the delivery of mathematical content. And, the story has strong power, led to feelings of students receiving transfer mathematical content. Finally, examined the characteristics of the psychology of learning in mathematics education by storytelling. We were studied about internal and external story. And, we studies on storytelling as the mediator, story as the knowledge transfer, story as the problem-solving process, story as the script.

• East Asian mathematical journal
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• 제35권2호
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• pp.173-197
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• 2019

The purpose of this study is to analyze expressions in the first and second grade math textbooks in elementary school in the aspect of possibilities of learners' understanding and propose proper directions for expressions in math textbooks to increase the possibilities of their understanding. The findings show that there were four types of expression errors and five types of mathematical errors in the aspects of expression method and content, respectively.

• 한국초등수학교육학회지
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• 제15권2호
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• pp.463-485
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• 2011

본 연구는 초등학교 수학에 적용 가능한 수학사를 추출하고 이를 효과적으로 활용할 수 있는 수업 모형을 개발하여, 수학사를 활용하는 수업 이 학생들의 수학적 의사소통과 수학적 태도에 어떠한 영향을 미치는지 알아보았다. 이를 위해 실험집단에는 수학사를 활용한 수업을, 비교집단에는 교과서를 활용한 교사 중심적인 수업을 실시하였으며, 연구 중에 수집된 자료는 양적 분석과 질적 분석 방법을 병행하여 분석하였다. 그 결과 첫째, 의사소통 중심의 수학사 기반 수학 수업은 학생들의 의사소통 참여도를 향상시키는 데에 도움을 주었으며, 둘째, 학생들이 수학적 논리를 가지고 자신의 의견을 상대방에게 정당화하게 하였다. 그러나, 수학사를 활용한 수학 수업이 학생들의 수학적 태도에 통계적으로 유의미한 차이를 가져왔다고 볼수는 없으나, 긍정 적 변화의 조짐을 질적으로 관찰할 수 있었다.

• Human Ecology Research
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• 제58권1호
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• pp.105-120
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• 2020

This study helps infant teachers practice a constructivism-based teacher education program that supports infant mathematical inquiry activities and examines improvements in mathematical teaching knowledge, mathematical teaching initiatives, mathematical interaction, constructivism belief and mathematical teaching efficacy. Twenty two experiment group infant teachers and twenty two comparison group infant teachers were chosen at two workforce educare centers. The experiment group infant teachers participated in 18 sessions of a constructivism teacher training program for 8 weeks, but the comparison group infant teachers did not take part in the program. Pretest and post-tests were implemented for the mathematical teaching knowledge, mathematical teaching initiatives, mathematical interactions, constructivism belief and mathematical teaching efficacy in the experiment group. Independent sample t-test and ANCOVA were tested using Windows SPSS statistics 21.0. The homogeneity test for the experiment and comparison group revealed significant differences. ANCOVA was carried out after the pretest score was controlled as a co-variance. Significant differences were indicated in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. The results indicated that a constructivism-based teacher education program to support infant mathematical inquiry activities influenced improvements in mathematical teaching knowledge, mathematical teaching initiative, mathematical interaction, constructivism belief and mathematical teaching efficacy. This study proved the effects of the program based on constructivism theory content for the knowledge, skills and attitude about infant teaching of mathematical initiatives and practiced a program of exploration, investigation, application and assessment for infant teachers. The results can help infant teachers teach mathematical exploration activities and help activate infant mathematical exploration activities.