• Title/Summary/Keyword: Knowledge for Teaching Mathematics

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

  • Seo, Jeong Min;Lee, Jeong Hwa
    • Korean Journal of Childcare and Education
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    • v.13 no.1
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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
    • Research in Mathematical Education
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    • v.18 no.2
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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.

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

  • Kim, Young-Ok
    • Journal of the Korean School Mathematics Society
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    • v.11 no.4
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    • pp.595-608
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    • 2008
  • The purpose of this study is to address the teachers' knowledge bases for effective mathematics teaching and especially to provide the various definitions and the structures of mathematics knowledge which is the most important one of the knowledge bases. The conceptual understanding about teachers' knowledge bases for effective mathematics teaching and the structure of mathematics knowledge may be used in evaluating effective mathematics teaching and teachers as well as in developing a new conceptual framework for the structure of mathematical knowledge.

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

  • Kim, Young-Ok
    • East Asian mathematical journal
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    • v.31 no.4
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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.

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

  • Shim, Sang Kil;Lee, Kang Sup
    • The Mathematical Education
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    • v.54 no.4
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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.

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

  • Jung, YooKyung;Pang, JeongSuk
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.695-717
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    • 2013
  • Teacher knowledge needed for teaching is bound to be revealed in teaching the subject matter in relation to the given instructional context. Given this, recent studies on mathematics teacher knowledge tend to analyze actual Mathematical Knowledge in Teaching [MKiT]. This study focused on the dimension of transformation and its related codes in Knowledge Quartet, which has been recognized as a MKiT framework, and analyzed a Korean teacher's transformation knowledge revealed in her elementary mathematics teaching. The analysis showed that the codes related to the dimension of transformation were useful in analyzing teacher knowledge in the Korean context. However, a few codes need to be revised or added for more suitability. On the basis of these results, this paper closes with implications for analyzing teacher knowledge in mathematics teaching.

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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 (수학 중등 교사들 간의 수학교수지식(MKT) 차이 발생 요인 분석 및 이를 통한 통계적 소양 신장 방안)

  • Kim, Seul Bi;Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.39 no.2
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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.

Development of a Product Oriented Group for Mathematics Teachers Professional Growth

  • Liu, Chun-Yi;Cheo, Shu-Tin
    • Research in Mathematical Education
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    • v.15 no.4
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    • pp.341-355
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    • 2011
  • A research group consisting of some mathematics education scholars and school teachers has been formed to build a website which intended to combine both theories and practices of mathematical teaching since 2002. There were three working stages: video-tapping realistic math teaching, developing video discs of different themes, and designing e-Learning. The group members learned knowledge of teaching by actual participating. On the other hand, the products enabled the audience to get professional development in knowledge of both mathematics and teaching. Management process of this group and effects upon the participants and users will be presented and discussed in this paper. A research group consisting of some mathematics education scholars and school teachers has been formed to build a website which intended to combine both theories and practices of mathematical teaching since 2002. There were three working stages: video-tapping realistic math teaching, developing video discs of different themes, and designing e-Learning. The group members learned knowledge of teaching by actual participating. On the other hand, the products enabled the audience to get professional development in knowledge of both mathematics and teaching. Management process of this group and effects upon the participants and users will be presented and discussed in this paper.

An Analysis of Novice Teachers' Pedagogical Content Knowledge in Elementary Mathematics Teaching (초등학교 수학 수업에 나타난 초임교사의 교수학적 내용 지식 분석)

  • Kim, Yu-Kyung;Pang, Jeong-Suk
    • Journal of the Korean School Mathematics Society
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    • v.15 no.1
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    • pp.27-51
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    • 2012
  • This paper analyzed the pedagogical content knowledge (PCK) presented in three novice teachers' mathematics instruction. PCK was analyzed in terms of the knowledge of mathematics content, the knowledge of students' understanding, and the knowledge of teaching methods. Teacher A executed a concept-oriented instruction with manipulative materials because she had difficulties in learning mathematics during her childhood. Teacher B attempted to implement an inquiry-centered instruction in the lesson of looking for the area of a trapezoid. Teacher C focused on the real-life connection to mathematics instruction. There were substantial differences among the teachers' PCK revealed in mathematics teaching, depending on their instructional goals. The detailed analyses of three teachers' teaching in terms of their PCK will give rise to the issues and suggestions of professional development for beginning elementary school teachers in mathematics teaching.

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Roles of Teachers in Learning Study: A Case Study in Teaching Fractions

  • Wong, Tak Wah;Lai, Yiu Chi
    • Research in Mathematical Education
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    • v.17 no.1
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    • pp.47-61
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    • 2013
  • This paper aims to explore whether Learning Study improves teachers' subject content knowledge, pedagogical content knowledge, and attitude toward teaching mathematics. A Learning Study was conducted in a Hong Kong primary school for a research lesson on comparing the size of fractions to explore the new teacher roles.