• Title/Summary/Keyword: Knowledge of Teaching Mathematics

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유아교사의 구성주의 교육신념, 수학교수효능감 및 수학교과교육학지식이 수학교수적극성에 미치는 영향 (The Effects of Constructive Teaching Belief, Mathematics Teaching Efficacy and Pedagogical Content Knowledge of Mathematics on Teaching Intention for Mathematics of Early Childhood Teachers)

  • 서정민;이정화
    • 한국보육지원학회지
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    • 제13권1호
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    • pp.185-200
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    • 2017
  • Objective: This study was conducted to investigate the effects of early childhood teachers' teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics on their teaching intention of mathematics. Methods: A total of 266 early child teachers in Busan participated in this study. They completed a set of question naires which consisted of questions about teaching beliefs, mathematics teaching efficacy, pedagogical content knowledge of mathematics, and the teaching intention of mathematics. The collected data were analyzed using the SPSS program. Results: First, we observed several positive correlations among the four variables. Second, we found that early childhood teachers' constructive teaching beliefs, mathematics teaching efficacy, and pedagogical content knowledge of mathematics had effects on their teaching intention of mathematics. The knowledge about teaching-learning methods for mathematics among the subcategories of pedagogical content knowledge of mathematics was observed as the strongest predictor for the teachers' teaching intention. Conclusion: We need to take more interest in the pedagogical knowledge about teaching-learning methods of mathematics in teacher training courses in order to enhance teachers' teaching intention of mathematics. As a result, this will makea contribution to high quality math education for young children.

Relationships between Teaching Professional Rank, Course Taking, Teaching Experience and Knowledge of Algebra for Teaching

  • Huang, Rongjin;Li, Yeping;Kulm, Gerald;Willson, Victor
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제18권2호
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    • pp.129-148
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    • 2014
  • In this study, we examined the relationships among years of teaching experience, professional rank, number of courses taken, and knowledge of algebra for teaching (KAT). 338 in-service and 376 pre-service secondary mathematics teachers in China completed a KAT questionnaire. Various statistical techniques were employed to examine these relationships. The pre-service participants teachers performed statistically significantly higher in advanced mathematics knowledge than their in-service counterparts. Among the inservice teachers, senior teachers had scored higher in school mathematics and teaching mathematics, compared with junior teachers. Yet participants' advanced mathematics knowledge decreased as their professional rank advanced or their teaching experience increased. The number of courses taken has significantly positive correlation with school mathematics knowledge and advanced mathematics knowledge. The implications of these findings for mathematics teacher education are discussed.

효과적인 수학 교수를 위한 교사 지식 기반 영역과 수학적 지식 구조 (Teachers' Knowledge Base and The Structure of Mathematical Knowledge for Effective Mathematics Teaching)

  • 김영옥
    • 한국학교수학회논문집
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    • 제11권4호
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    • pp.595-608
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    • 2008
  • 본 연구는 효과적인 수한 괴수(teaching)를 위해 괴사들이 갖추어야 할 지식 기반영역들을 소개하고, 지식 기반 영역 중에서도 가장 핵심 영역인 수학적 지식에 대한 다양한 정의와 구조에 관한 모델을 소개하고자 한다. 이를 통해, 본 연구는 교사지식 영역에 대한 전반적인 이해를 제공 할 뿐만 아니라, 수학적 지식에 대한 구체적이고 이론적인 틀을 제공하고자 한다.

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현직수학교사와 예비수학교사들의 좋은 수학 수업을 위한 지식 및 능력에 관한 인식조사 (The perspectives on the knowledge and abilities for good mathematics teaching of in-service and pre-service mathematics teachers)

  • 김영옥
    • East Asian mathematical journal
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    • 제31권4호
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    • pp.527-546
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    • 2015
  • Mathematics teachers' knowledge and abilities for effective mathematics teaching has been discussed by many mathematics educators and researchers. This study surveyed the perspectives on the knowledge and abilities for good mathematics teaching of inservice and preservice teachers based on their teaching experiences. The perspectives of the two teacher groups about teachers' knowledge and abilities for teaching mathematics are very different. The results from this study are expected to give information on developing teacher education curriculum and programs.

학교현장실습이 중등 예비수학교사들의 교사의 지식에 대한 인식 변화에 미친 영향 (Effect of teaching practicum for pre-service mathematics teachers' perception changes about teacher's knowledge)

  • 심상길;이강섭
    • 한국수학교육학회지시리즈A:수학교육
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    • 제54권4호
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    • pp.351-363
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    • 2015
  • In this study, 45 pre-service mathematics teachers were surveyed about how the perception of knowledge through teaching practicum have changed and how the knowledge learned in college and teaching practicum helped to format teachers' knowledge and analyzed survey's result. Pre-service mathematics teachers felt the knowledge for understanding students were needed the most and considered the experiences from teaching practicum were more useful than the knowledge learned from college classes. However, they had low appreciations on connecting knowledge on learned contents with real-life or other subjects and on necessity of knowledge of using various learning tools or mathematical materials in class. Also, they have answered the knowledges from college classes and teaching practicum were useless in those areas. Especially, they pointed out that guidance teachers during teaching practicum were insufficient in instructing. Therefore, we suggest the following two to improve the teaching ability of pre-service mathematics teachers through teaching practicum. First, college and secondary school cooperating programs such as class-observation and student-mentor system connected with local society should be developed. Second, the special re-training program for guidance teachers of teaching practicum is needed.

Research on the Factors Influencing Middle School Teachers' Mathematics Pedagogical Content Knowledge

  • Tong, Li;Qian, Xu-Sheng
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제14권4호
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    • pp.323-332
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    • 2010
  • It is the development of a mathematics teachers' teaching knowledge that manifests a mathematics teacher's professional knowledge growth. It is becoming a direct and effective approach of conversion of mathematical knowledge into the knowledge of mathematics teaching. Through the investigation, the study revealed that the knowledge conversion process of mathematics teachers in middle school is restricted by three aspects including eight factors. From this point, the authors have structured the path and model on influencing factors of middle school Mathematics Teaching Knowledge Conversion (MPCK), and discuss the mechanism of the transformation process.

Impact of Entry-Level Mathematics Subject-matter Knowledge on Student Teachers' Mathematics Pedagogical Content Knowledge Development and their Mathematics Teaching Practice Performance

  • Wong, Tak-Wah;Lai, Yiu-Chi
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제16권1호
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    • pp.51-66
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    • 2012
  • This study investigated the impact of entry level of mathematics subject knowledge on student teachers' mathematics pedagogical content knowledge development and performance in mathematics teaching practice. The sample consisted of 24 mathematics student teachers, 12 of whom passed A-Level mathematics and 12 of whom only passed O-level mathematics. They were all studying in a 4-year bachelor of education (Honours/Primary) programme; they were either majoring or minoring in mathematics. Results showed that student teachers' entry-level mathematics subject knowledge is not related to their mathematics pedagogical content knowledge development or their mathematics teaching performance. These findings may lead society to consider whether student teachers who have passed O-level mathematics are already eligible to be trained as professional primary mathematics teachers. As a consequence, this study raises the issues of how to develop student teachers' mathematics pedagogical content knowledge and whether we need to restructure our bachelor of education (Primary) programmes' curriculum in teacher professionalism.

초등 수학 수업에서 발현되는 교사의 변환 지식 분석 (An Analysis of a Teacher's Transformation Knowledge in Elementary Mathematics Teaching)

  • 정유경;방정숙
    • 한국학교수학회논문집
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    • 제16권4호
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    • pp.695-717
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    • 2013
  • 가르치는 데 필요한 교사 지식은 실제 해당 교과를 가르치는 중에 수업 맥락과 깊이 관련되어 나타나기 마련이다. 이와 같은 관점에서 최근 수학 교사 지식에 대한 연구는 실제 가르칠 때 발현되는 수학적 지식(Mathematical Knowledge in Teaching [MKiT])을 분석하려는 경향이 강하다. 본 논문에서는 효과적인 MKiT 분석틀로 알려진 '교사 지식의 사중주(Knowledge Quartet [KQ])' 중 '변환' 차원 및 관련 코드를 소개하고, 이를 중심으로 우리나라 초등 수학 수업을 분석한 사례를 제시하였다. 분석 결과 변환 차원의 관련 코드는 전반적으로 우리나라 초등 수학 수업에서 발현되는 교사의 변환 지식을 밝히는 데 유용한 것으로 드러났다. 그러나 보다 적합성을 높이기 위해서는 일부 코드를 보완할 필요성도 제기되었다. 이와 같은 연구결과를 토대로 본 논문은 초등 수학 수업에서 발현되는 교사 지식의 분석틀에 대한 시사점을 제시한다.

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수학 수업에 표현된 수학 교사의 신념과 지식 (An Experienced Teacher's Representations of Beliefs and Knowledge in Mathematics Instruction)

  • 김구연
    • 대한수학교육학회지:학교수학
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    • 제11권3호
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    • pp.335-349
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    • 2009
  • 이 논문은 수학 교사의 신념과 지식이 수학 수업에 어떻게 표현되는 지 미국 중학교 수학 교사의 수업 분석을 통한 사례연구 보고서이다. 미국 중학교 수학 교실에서 이루어지는 수업에 대한 정보를 제공할 뿐만 아니라, 수학교사의 신념과 지식이 수업에 어떻게 반영되고 적용되는지 상세하게 분석 설명한다. 사례 분석 연구 결과는 참여 수학 교사의 수학 교수학습에 대한 신념체계가 수업에 일정 정도 일관성 있게 표현됨을 보여 준다. 특히, 그 교사의 신념체계가 수학 수업을 조직하고 구성하는데 큰 영향을 미치는 것으로 나타났다.

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수학 중등 교사들 간의 수학교수지식(MKT) 차이 발생 요인 분석 및 이를 통한 통계적 소양 신장 방안 (A Study on Analyzing the Difference Factors Occurred in the Secondary School Mathematics Teachers on the Mathematical Knowledge of Teaching and on Exploring the Enhancement on the Statistical Literacy)

  • 김슬비;황혜정
    • East Asian mathematical journal
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    • 제39권2호
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    • pp.141-166
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    • 2023
  • The purpose of this study is to confirm the MKT(Mathematical Knowledge for Teaching) of the in-service mathematics teachers on the statistics(Representative value, Degree of scattering) through the comparative analysis between the sub-elements of the MKT. In addition, it is to examine the factors that cause the difference of the subjects' MKT. To accomplish this, by the subject of 12 secondary in-service mathematics teachers, in this study the test items of the MKT on the statistics were developed and data were collected and analyzed. As a result of the analysis of the MKT test sheet, the CCK(Common Content Knowledge) and SCK(Specialized Content Knowledge) of the mathematics teacher was confirmed as a high score, whereas the and KCS(Knowledge of Content and Students) and KCT(Knowldge of Curriculum and teaching) were confirmed as low scores. In addition, through these results, it was shown that the difference in MKT's elements the middle school and high school teachers obtain occurred slightly.