• Title/Summary/Keyword: mathematics content knowledge

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The Development of Mathematics Teaching Efficacy Instrument (수학 교수 효능감 측정 도구 개발 연구)

  • Kang, Moonbong;Kim, Jeongha
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.3
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    • pp.519-537
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    • 2014
  • Teacher efficacy influences teacher's own behaviors in class and students outcomes such as achievement, motivation and their own self-efficacy. In recent years, self efficacy and teacher efficacy are becoming more popular in many educational aspects. Teacher efficacy depends on him/her and each tasks and goals. Therefore, we need special instrument for measuring mathematics teacher efficacy. On this study, we derived educationally meaningful factors on mathematics teacher efficacy from previous literature. We developed Mathematics Teaching Efficacy Instrument(MTEI) consisted of 30 items with 6-point Likert scale. The six factors are as follows; mathematics teaching efficacy expectancy, mathematics teaching outcome expectancy, mathematics teaching content knowledge, teacher belief on their own students, the past mathematics learning experience for teacher own, influence from social-cultural environment.

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Analysis of the Connection between Competency and Elementary School Content System and Achievement Standards in the 2022 Revised Mathematics Curriculum (2022 개정 수학과 교육과정에서 역량과 초등학교 내용 체계 및 성취기준과의 연계성 분석 )

  • Lee, Hwayoung
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.369-385
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    • 2023
  • As the 2022 revised mathematics curriculum emphasizing competency cultivation was announced, the researcher analyzed the connection between competency, content system, and achievement standards in elementary school mathematics curriculum. The results of the analysis of the link between the competency of the curriculum revision research report, its sub-elements, the 'process and skills' of the curriculum content system, and the achievement standard verb are as follows. First, most of the five curriculum competencies (problem solving, reasoning, communication, connection, and information processing) of the mathematics department are implemented as "process-skills" of the content system, which is further specified and presented as an achievement-based verb. Second, the five competencies were not implemented with the same weight in all areas, and the appropriate process-skills were differentiated and presented according to the content of knowledge-understanding by area/grade group. Third, verbs of the achievement standards were more rich than before in the 2022 revised elementary school mathematics curriculum. Fourth, 'understanding' throughout the entire area was still presented as the highest proportion. Through the research results, the researcher discussed clearly establishing the meaning of problem-solving capabilities in the future and developing and presenting "understanding" as a more specific process or skills.

A study on the comparison and analysis of school mathematics curriculum in England and Korea, focused on the 'shape, space, and measures' domain (영국과 우리나라의 수학과 교육과정 비교 분석 연구 - 도형과 측정 영역을 중심으로 -)

  • Shin, Hang-Kyun;Hwang, Hye-Jeang
    • The Mathematical Education
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    • v.45 no.4 s.115
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    • pp.407-438
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    • 2006
  • This study investigated school mathematics curriculum of England, newly revised in 1998, focused on the 'shape, space, and measures' domain among three major domains of the English curriculum. On the basis of its understanding, this domain was compared and analyzed with school mathematics curriculum of Korea. In doing so, this study explored its plans and procedures and established a frame of comparison for the curriculums between the two countries. The structure of the National Curriculum in England is composed of programmes of study and attainment targets. The former sets out what should be taught in mathematics at key stages 1, 2, 3, and 4 and provides the basis for planning schemes of work, and the latter sets out the knowledge, skills, and understanding that pupils of different abilities and matures are expected to have by the end of each key stage. Attainment targets are composed of eight levels and an additional level of increasing difficulty. According to the results of the present study, Korea focuses on the formal and systematic mathematical knowledge on the basis of sound understanding of certain mathematical terms or concepts. On the other hand, England curriculum tends to deal with the content which can be understood more intuitively, flexibly, and naturally through the experience and aquisition based on the concrete manipulation. Particularly, it emphasizes that mathematics be realistic and useful in solving a diverse problems confronted in everyday life.

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Exploring Teacher Change Through the Community of Practice Focused on Improving Mathematics Teaching (수업개선 관행공동체를 통한 교사의 변화 탐색: 수학 수업관행을 중심으로)

  • Oh, Young-Youl
    • Journal of Educational Research in Mathematics
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    • v.16 no.3
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    • pp.251-272
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    • 2006
  • The purpose of the present study is to explore the process of teacher change as elementary school teachers participated in a community focused on improving mathematics teaching. To do so, a professional community lot improving instructional practice consisted of a group of voluntary elementary school teachers. The professional community provides participating teachers with great opportunities to share their understanding of practical knowledge related to mathematics teaching and learning and change mathematical beliefs as well as to learn pedagogical content knowledge. This study approached to teacher professionality in terms of mathematical beliefs and teaching practice. The change of teaching practice was measured coherently both with a questionnaire and with a mathematics teaching standard developed for this study. The findings of this study point out that techers' beliefs about how students learn mathematics have chantged. This study also indicated that after participating in the professional community focused on improving mathematics teaching, teachers' mathematical teaching is changed toward the more students' oriented way. Especially, it is observed that the meaningful change in participating teachers' teaching practice took place with respect to the role of teachers, students' interaction, mathematical tasks, and problem solving. Finally, this study implies that teachers can have an opportunity to change their beliefs and deepen their professionality about elementary mathematics teaching and learning through participating in the community of practice, through which participating teachers can share their practical knowledge and their understandings about teaching and learning of elementary mathematics.

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Mathematics Preservice Teachers' Disposition about Methods of Instruction Which Is Based on Shulman's Pedagogical Reasoning (중등 수학 예비 교사들의 다양한 교수.학습 방법에 대한 성향)

  • Lee, Kwang-Ho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.1-25
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    • 2009
  • The purpose of this research is the investigation of mathematics pre service teachers' disposition. Their disposition will be used for preposition of preservice Leacher program for making pre service teachers' participate any program willingly and extend their thinking. For this research, the researcher collected various data from investigation-presentation, report for practice and beauty of mathematics, micro teaching, and peer-evaluation. Preservice teachers had positive attitude for mathematics. They described their feeling, thinking and reflection about various methods of instruction and prefer to have micro teaching. They described that the investigation-presentation was needed to change some. From the results, the teacher preparation program is needed to integrate theory and practice to make preservice teachers gain profound knowledge on pedagogical content knowledge by making them high their interest and sensitivity on mathematics.

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A narrative review on immersive virtual reality in enhancing high school students' mathematics competence: From TPACK perspective

  • Idowu David Awoyemi;Feliza Marie S. Mercado;Jewoong Moon
    • The Mathematical Education
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    • v.63 no.2
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    • pp.295-318
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    • 2024
  • This narrative review explores the transformative potential of immersive virtual reality (IVR) in enhancing high school students' mathematics competence, viewed through the lens of the technological, pedagogical, and content knowledge (TPACK) framework. This review comprehensively illustrates how IVR technologies have not only fostered a deeper understanding and engagement with mathematical concepts but have also enhanced the practical application of these skills. Through the careful examination of seminal papers, this study carefully explores the integration of IVR in high school mathematics education. It highlights significant contributions of IVR in improving students' computational proficiency, problem-solving skills, and spatial visualization abilities. These enhancements are crucial for developing a robust mathematical understanding and aptitude, positioning students for success in an increasingly technology-driven educational landscape. This review emphasizes the pivotal role of teachers in facilitating IVR-based learning experiences. It points to the necessity for comprehensive teacher training and professional development to fully harness the educational potential of IVR technologies. Equipping educators with the right tools and knowledge is essential for maximizing the effectiveness of this innovative teaching approach. The findings also indicate that while IVR holds promising prospects for enriching mathematics education, more research is needed to elaborate on instructional integration approaches that effectively overcome existing barriers. This includes technological limitations, access issues, and the need for curriculum adjustments to accommodate new teaching methods. In conclusion, this review calls for continued exploration into the effective use of IVR in educational settings, aiming to inform future practices and contribute to the evolving landscape of educational technology. The potential of IVR to transform educational experiences offers a compelling avenue for research and application in the field of mathematics education.

Creative Convergence Course 『Future Confluence IT Humanities』 Development and Operational Effectiveness Verification (창의적 융복합 『미래융합IT인문학』 교과목 개발 및 운영 효과성 검증)

  • Choi, Eunsun;Ko, Jeon;Choi, Keunbae;Kim, Heepil;Lee, Hosoo;Park, Namje
    • Journal of Korea Multimedia Society
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    • v.24 no.4
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    • pp.569-582
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    • 2021
  • Education emphasizes problem-solving skills based on convergent thinking power in an era of rising uncertainty and rapid progress. This paper proactively designed e-Learning team teaching convergence liberal arts courses for prospective teachers by these social needs. It analyzed the empirical effects on the operation of the subjects to foster future talent who can converge and apply knowledge in various fields. The curriculum consisted of professors of mathematics, practical Arts, computer, and education, and was operated to convey convergent knowledge of information technology and humanities, and consisted of 15 liberal arts courses at J University. Besides, textbooks and teaching materials were also developed by the faculty. As a result of the primary research, prospective teachers who took the course generally showed high satisfaction with the class, especially for the faculty. The students' overall convergent thinking ability has increased to a statistically significant level (p<.01), and the students' major has been found to be irrelevant. On the other hand, it can be seen that communication, content convergence, and caring factors, excluding creativity factor, have all risen to a significant level.

An Analysis of 2009 Revised Elementary First Grade Mathematics Textbooks Based on STEAM-related Subject Contents (2009 개정 초등수학 1학년 교과서상의 STEAM 관련교과 내용 분석)

  • Kim, Hae Gyu
    • Education of Primary School Mathematics
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    • v.17 no.3
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    • pp.277-297
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    • 2014
  • In this study, we analyzed what STEAM-related subject contents, except mathematical knowledge, are contained in 2009 revised elementary first grade mathematics textbooks. STEAM-related subject contents in the textbooks were examined by unit and by strand of the content in the elementary school mathematics curriculum. According to the results, the number and the type of STEAM-related subject contents are different depending on the unit and the strand of the mathematics content. Generally speaking, in each unit and in each strand of mathematics, storytelling liberal arts-related contents are seen the most, followed by non-storytelling liberal arts-related contents and physical education contents in order, while the number of musical contents was very small. So we need to develop different STEAM materials in order to activate STEAM education in our elementary math classrooms.

An Analysis of Good Mathematics Instruction by Key Instructional Elements of Measurement (측정 영역의 핵심 교수.학습 요소에 의한 좋은 수학 수업 분석)

  • Pang, Jeong-Suk;Kim, Jeong-Won;Kim, Hye-Jeong
    • Education of Primary School Mathematics
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    • v.15 no.2
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    • pp.77-89
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    • 2012
  • Considerable efforts have been attempted to identify what makes high-quality mathematics instruction, including diversity and variability across different educational systems and cultural contexts. As the instructional elements related to effective mathematics teaching can be commonly applied to different content domains, they may be efficient in selecting such teaching. However, such elements may not reflect on the specific but essential features of each domain. This paper compared and contrasted two sets of measurement teaching practices, which were recognized as good instruction, in terms of how the key elements of measurement domain were implemented. As such this paper is expected to accumulate significant knowledge about elements of effective mathematics instruction that are specialized in a particular content domain of measurement. This paper suggests that domain-specific approach be considered in studying good mathematics teaching.

A Qualitative Study on the Practice and Improvement of Teacher Training Programs for Mathematics Education in Korea (수학과 교과직무연수의 실태와 개선에 관한 질적 접근)

  • Lee, Keum-Sun
    • School Mathematics
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    • v.7 no.3
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    • pp.287-301
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    • 2005
  • The current knowledge-based society constantly requires teachers to enhance the level of their professional development, which underscores the importance of pre- and in-service teacher training for content do-mains. Most of previous studies designed to investigate the in-service teacher training have been quantitatively conducted with the use of survey analysis and not many efforts have been made to identify any possible weaknesses of teacher training for mathematics education. The present investigation, made to fill the gaps, attempted to describe and interpret teacher training programs for mathematics education using in-depth in-terviews, a form of qualitative research approach. Together with the finding that the degree of classroom teachers' approval for their training was not high for various reasons, the study proposes ways to improve teacher training programs for mathematics education so as to change mathematics classrooms for the better.

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