• Title/Summary/Keyword: mathematics teaching

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Pedagogical Content Knowledge in Mathematics Moderates the Effect of Mathematical Attitude on Mathematics Teaching Efficacy (영유아교사의 수학적 태도와 수학교수효능감의 관계에서 수학교과교육학지식의 조절효과)

  • Yoo, Seung Hee;Kim, Ji Hyun
    • Korean Journal of Child Education & Care
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    • v.17 no.3
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    • pp.49-63
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    • 2017
  • This study aims to investigate the effect of early childhood teachers' mathematical attitude on their mathematics teaching efficacy and to prove the moderating role of pedagogical content knowledge (PCK) in mathematics, which we selected based upon previous literatures. To explore the effect of early childhood teachers' mathematical attitude on their mathematics teaching efficacy and the moderating role of PCK in mathematics between them, This study randomly sampled 500 early childhood teachers who work at child care centers and kindergartens in Seoul, Kyunggi province and Kangwon province and collected their responses by questionnaires. Mathematics teaching efficacy was measured with mathematics teaching efficacy scale for early childhood teachers developed by Luo (2000) and translated by Jung (2001a). Mathematical attitude was measured with Smith (2000)'s scale which we translated for this study. To measure the pedagogical content knowledge in mathematics, we revised Hong(2012)'s scale to be applicable for early childhood teachers. Direct effect of mathematical attitude on mathematics teaching efficacy and the moderating effect of PCK in mathematics were analyzed by multiple regression analysis using IBM SPSS 21.0. Study results demonstrated the significant direct effect of mathematical attitude on mathematics teaching efficacy. Also, the moderating effect of PCK in mathematics was also proved to be significant. That is, if the teacher has high level of pedagogical content knowledge in mathematics, the positive effect of mathematical attitude on mathematics teaching efficacy was even more enhanced. This results supports the current finding where PCK in mathematics functions as a moderating variable between mathematical attitude and mathematics teaching efficacy. Thus, our study is expected to provide relevant contents that should be covered during teacher education, which aims to improve early childhood teachers' mathematics teaching efficacy.

A Study on The Application of Oriental History of Mathematics in School mathematics (수학 교수-학습에서의 동양 수학사 활용에 관한 연구)

  • Yang, Sung-Ho;Lee, Kyung-Eon
    • The Mathematical Education
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    • v.49 no.1
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    • pp.15-37
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    • 2010
  • In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

An Exploration of the Reform Direction of Teaching Statistics (통계교육의 개선방향 탐색)

  • 우정호
    • School Mathematics
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    • v.2 no.1
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    • pp.1-27
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    • 2000
  • In the past half century little effort has been made for the improvement of teaching and learning statistics compared with other parts of school mathematics. But recently data analysis has begun to play a prominant role in the national reform efforts of mathematics curricula in the United States of America and the United Kingdom. In this paper we overview modern statistical thinking differed from mathematical thinking and examine the problems of current old-style teaching of statistics. And, we discuss the current data handling(or data analysis) emphasis in the national curriculum of mathematics in the countries mentioned above. We explore the reform direction of statistics teaching; changing the philosophy of teaching statistics, teaching real data analysis, emphasis of using computer, and teaching statistical inference not as mathematics but as intuitive data-centered approach.

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Metaphors on Mathematics Teaching (수학 수업을 보는 관점으로서의 은유)

  • Kim, Sang-Mee
    • School Mathematics
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    • v.7 no.4
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    • pp.445-467
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    • 2005
  • The purpose of this study was to investigate mathematics teaching of an elementary school teacher and to understand the meaning of it. This study was a qualitative case study using by analyzing metaphors. The notion of metaphors was newly set up. Traditionally, it had been regarded as a mere tool for better understanding, but it was recognized as the primary source of all of our concept(Sfard, 1998). The subject of this case study was a researcher 'I' and also an elementary school teacher. The three selves named Mee1, Mee2, Mee3, respectively. Mee1 was the 'I' who developed the 4th graders' activities on mathematical patterns in 1996 and wrote mathematics textbook for the 4th graders in 1998-1999. Mee2 was the 'I' who taught mathematical patterns to her students in 2002. Mee3 was the 'I' who criticized the teaching of Mee2 in 2005. [ADVENTURE], [HIDE-AND-SEEK], and [FIREWORKS DISPLAY] were deter-mined to be key metaphors of mathematics teaching. [ADVENTURE] of Mee] was focused on profound understanding of mathematics, [HIDE-AND-SEEK] of Mee2 on construction of mathematics, and [FIRE-WORKS DISPLAY] of Mee3 on making meaning and participating in communities. Studies of metaphors give us the power of understanding mathematics teaching and also generate it. And viewing mathematics teaching via metaphors makes teaching studies open to new ways.

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Development of Teaching Methods to Improve Mathematical Capabilities for Electronics Engineering

  • LEE, Seung-Woo;LEE, Sangwon
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.2
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    • pp.120-126
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    • 2021
  • The importance of mathematics is emerging to create new values and secure competitiveness in an intelligent information society based on the Fourth Industrial Revolution. This study was conducted with the aim of improving the academic performance and increasing interest of electronics majors in mathematics subjects. In order to develop learners' mathematical capabilities in major fields that utilize mathematics that electronics majors do not prefer, we have proposed a new teaching method to promote employment in mathematics-based electronics fields. In addition, to enhance learners' self-directed learning, we developed teaching methods for efficient mathematics subjects with programming languages as tools in electronics engineering and applied them to real-world teaching sites to effectively cultivate academic performance improvement of majors. Finally, we conducted a survey and statistically analyze the effectiveness of the developed teaching methods to present effective operational measures for mathematics education, an essential tool in intelligent information technology.

A Case Study on the Development of Elementary Mathematics Teaching Practices (사례 연구를 통한 초등학교 교사의 수학 교수법 개발에 관한 소고)

  • 방정숙
    • Education of Primary School Mathematics
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    • v.5 no.2
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    • pp.143-161
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    • 2001
  • This paper explores how unequally successful mathematics practices were constructed in the two elementary mathematics classrooms. The interview data that pertain to the two teachers' personal reflections on the influences on their professional development were used as a source of inquiry to identify the underlying factors that might account for the differences and the similarities in implementing reform ideals in teaching mathematics. This affords not only exploration of the challenges of moving teaching practices toward student-centered approaches but also insight of the processes of developing mathematics teaching practices through teachers\`own career paths.

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A Study on the Application of Lakatos's Methodology to Teaching Elementary Mathematics (Lakatos 방법론을 초등수학에 적용하기 위한 연구)

  • 강문봉
    • Journal of Educational Research in Mathematics
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    • v.14 no.2
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    • pp.143-156
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    • 2004
  • Lakatos's mathematical philosophy implies that the mathematical knowledge is quasi-empirical and provides the context where mathematics grows and develops. So, it is educationally significant. But, it is not easy to apply Lakatos's methodology to teaching elementary mathematics, because Lakatos's logic of the mathematical discovery is based on the proofs and refutations but elementary mathematics does not contain any proof. This study is to develop the schemes that apply Lakatos's methodology to teaching elementary mathematics and to provide the teaching examples. I devised the teaching process and the curriculum development method. And I developed the teaching examples.

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A Study on the Use of Technology in Teaching-learning School Mathematics (학교수학 교수.학습에서 기술공학의 활용 연구)

  • Lee, Jung-Rye
    • Communications of Mathematical Education
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    • v.24 no.1
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    • pp.29-48
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    • 2010
  • The purpose of this paper is to discuss about the use of technology in teaching-learning school mathematics. In this paper, we study the theoretical background of teaching-learning school mathematics by the use of technology. For the purpose of successful use of technology in teaching-learning school mathematics, we research the present states of it appeared in textbooks of high school mathematics And we give suggestions for the effective use of technology in teaching-learning school mathematics. Furthermore, we introduce models for teaching-learning school mathematics in areas of mathematics by the use of computer programs such as GSP, Maple, and GrafEq.

Development of Elementary Mathematics Teaching-Learning Programs for pre-Service Elementary Teacher (초등교사 양성 대학의 초등수학교육에 대한 교수-학습 프로그램 개발)

  • 신준식
    • The Mathematical Education
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    • v.42 no.4
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    • pp.453-463
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    • 2003
  • The main purpose of this paper is to develope elementary mathematics teaching-learning programs for pre-service elementary teachers. The elementary mathematics education program developed in this work is divided into two parts: One is the theory, the other is the practice. The theory deals with the foundations of mathematics, the objectives of mathematics education, the history of mathematics education in Korea, the psychology of mathematics learning, the theories of mathematics teaching and learning, and the methods of assessment. With respect to the practice, this study examines the background knowledge and activities of numbers and their operation, geometry, measurement, statistics and probability, pattern and function.

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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.