• Title/Summary/Keyword: Knowledge of 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.

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

  • Tong, Li;Qian, Xu-Sheng
    • Research in Mathematical Education
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    • v.14 no.4
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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
    • Research in Mathematical Education
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    • v.16 no.1
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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.

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

  • Kim, Goo-Yeon
    • School Mathematics
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    • v.11 no.3
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    • pp.335-349
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    • 2009
  • The purpose of this study is to explore how a mathematics teacher's beliefs about mathematics and teaching and learning and mathematics and how such beliefs are related to her knowledge manifested in her mathematics instruction. The study illustrates images of teaching practice of an American mathematics teacher in middle grades mathematics classrooms. Results suggest that the teacher seems consistent in teaching in terms of her beliefs about mathematics and learning and teaching mathematics in some degrees. In particular, the teacher's beliefs affected the ways in which mathematics teacher organized and structured her lessons.

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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.