• Title/Summary/Keyword: 교육적 해석학

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Achievement Standards of Geometry According to the 2011 Revision of the National Mathematics Curriculum (2009 개정 교육과정에 따른 중학교 수학과 교육과정의 기하 성취기준에 대한 논의)

  • Lee, Hwan Cheal;Kim, Sun Hee;Ko, Ho Kyoung
    • Journal of Educational Research in Mathematics
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    • v.22 no.4
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    • pp.603-617
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    • 2012
  • The 2011 Revision of the National Mathematics Curriculum, amended based on the 2009 Curriculum version, focuses on three important issues: 1) 20% reduction of the previous curriculum contents; 2) improvement of students' creativity through mathematical processes; 3) flexible management of curriculum. Despite the importance in applications, it has not provided a manual for textbook authors and teachers. Consequently, they are likely to encounter difficulties in interpreting goals of learning achievements. This paper identifies the purposes and contents of achievement standards, and discusses how to implement it at school.

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A study on understanding of infinite series (무한급수의 이해에 대한 연구)

  • Oh, Hye-Young
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.355-372
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    • 2020
  • The concept of infinite series is an important subject of major mathematics curriculum in college. For several centuries it has provided learners not only counter-intuitive obstacles but also central role of analysis study. As the understanding in concept on infinite series became foundation of development of calculus in history of mathematics, it is essential to present students to study higher mathematics. Most students having concept of infinite sum have no difficulty in mathematical contents such as convergence test of infinite series. But they have difficulty in organizing concept of infinite series of partial sum. Thus, in this study we try to analyze construct the concept of infinite series in terms of APOS theory and genetic decomposition. By checking to construct concept of infinite series, we try to get an useful educational implication on teaching of infinite series.

A Study on the Educational Implications of the Results of the Piaget's Experiment about the Psychogenesis in his Genetic Epistemology -Based on the Experiment of Inhelder and Piaget(1963) - (Piaget의 발생적 인식론에서 심리발생의 실험 결과가 나타내는 교육적 시사점에 대한 연구 -Inhelder와 Piaget(1963)의 실험을 기초로 하여-)

  • Park, Sun Yong
    • School Mathematics
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    • v.15 no.2
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    • pp.221-241
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    • 2013
  • This study considers the experiment of Inhelder and Piaget(1963) in various aspects, and reveals the characteristics of the 'the formation of a critical mind', 'the transformation into the research question', 'the translation into the experiment', and 'the interpretation of the result of the experiment' in Piaget's genetic epistemology. According to these analyses, this study discusses the educational implications that the results of the Piaget's experiment support the education which raises the student's awareness.

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수학 개념의 자기 주도적 구성을 위한 교수 ${\cdot}$ 학습 모델 개발 - Cabri Geometry II와 MathView 활용을 중심으로 -

  • Park, Yong-Beom;Kim, Han-Hui;Park, Il-Yeong
    • Communications of Mathematical Education
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    • v.9
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    • pp.97-114
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    • 1999
  • 새로운 세기의 수학 교육은 직관과 조작 활동에 바탕을 둔 경험에서 수학적 형식, 관계, 개념, 원리 및 법칙 등을 이해하도록 지도되어야 한다. 즉 학생들의 내면 세계에서 적절한 경험을 통하여 시각적 ${\cdot}$ 직관적으로 수학적 개념을 재구성할 수 있도록 상황과 대상을 제공해야 한다. 이를 위하여 컴퓨터 응용 프로그램을 활용한 자기주도적 수학 개념 형성에 적합한 교수 ${\cdot}$ 학습 모델을 구안하여 보았다. 이는 수학의 필요성과 실용성 인식 및 자기주도적 문제해결력 향상을 위한 상호작용적 매체의 활용이 요구된다. 본 연구는 구성주의적 수학 교수 ${\cdot}$ 학습 이론을 근간으로 대수 ${\cdot}$ 해석 ${\cdot}$ 기하 및 스프레트시트의 상호 연계를 통하여 수학 지식을 재구성할 수 있도록 학습수행지를 제작하여 교사와 학생의 다원적 상호 학습 기회를 제공하는 데 주안점을 두고자 한다.

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An analysis of preservice mathematics teachers' reading of curriculum materials: Focused on conditional probability (예비 수학교사들의 교육과정 자료 해석: 조건부확률을 중심으로)

  • Ku, Nayoung;Tak, Byungjoo;Choi, Inyong;Kang, Hyun-Young
    • The Mathematical Education
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    • v.58 no.3
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    • pp.347-365
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    • 2019
  • It is important to pay attention to how teachers recognize and use curriculum materials in order to link written curriculum and enacted curriculum. In this study, 90 preservice mathematics teachers were surveyed to identify their perspective and reading of curriculum materials. Especially, we focused on the curriculum documents, textbooks, and teachers' guidebooks containing the concept of conditional probability which is addressed in highschool mathematics curriculum. The various misconceptions of conditional probability were reported in the many researches, and there are multiple methods to introduce conditional probability in mathematics classes. As a result, curriculum materials have some limits to be used as they are and considered to be reconstructable by participants, but their curriculum reading were mainly classified to be descriptive and evaluative, not to be interpretive. However, unlike curriculum documents, textbooks and teachers' guidebooks were partially interpreted by participants using their knowledge of conditional probability. The purpose of this study is to investigate the profession of mathematics teachers in terms of curriculum implementation. We expect that this study will provide a basic framework for analyzing mathematics teachers' works and suggest some implications for the professional development of mathematics teachers.

Analysis on Statistical Problem Solving Process of Pre-service Mathematics Teachers: Focus on the Result Interpretation Stage (예비 수학교사들의 통계적 문제해결 과정 분석: 결과 해석 단계를 중심으로)

  • Kim, Sohyung;Han, Sunyoung
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.535-558
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    • 2022
  • In the current society, where statistical literacy is recognized as an important ability, statistical education utilizing the statistical problem solving, a series of processes for performing statistics, is required. The result interpretation stage is especially important because many forms of statistics we encounter in our daily lives are the information from the analysis results. In this study, data on private education were provided to pre-service mathematics teachers, and a project was carried out in which they could experience a statistical problem solving process using the population mean estimation. Therefore, this study analyzed the characteristics shown by pre-service mathematics teachers during the result interpretation stage. First, many pre-service mathematics teachers interpreted results based on the data, but the inference was found to be a level of 2 which is not reasonable. Second, pre-service mathematics teachers in this study made various kinds of decisions related to public education, such as improving classes and after-school classes. In addition, the pre-service mathematics teachers in this study seem to have made decisions based on statistical analysis results, but they made general decisions that teachers could make, rather than specifically. Third, the pre-service mathematics teachers of this study were reflective about the question formulation stage, organizing & reducing data stage, and the result interpretation stage, but no one was reflective about the result interpretation stage.

Testing undergraduate interpretation of kinematics graphs (우리나라 대학생들의 운동학 그래프 이해 능력)

  • Kim, Tae-Sun
    • Journal of The Korean Association For Science Education
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    • v.26 no.1
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    • pp.49-57
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    • 2006
  • Line graphs are powerful tools in conveying complicated relationships and ideas because they show the relationship that exists between two continuous variables. Also, they can show readers the variations in variables and correlate two variables in a two dimensional space, and therefore, line graphs have a significant role in physics, especially kinematics. One of the purposes of the Test of Understanding Graphs in Kinematics (TUG-K) was to uncover student problems with interpreting kinematics. The TUG-K was given to Korean college students in 2004. To what extent are Korean college students able to understand such important line graphs? Analysis of the results of the TUG-K showed in which objectives students' strengths and weaknesses are found. This study investigates Korean college students' interpretation skills of kinematics graphs and the results of the study will be used to help instructors teach kinematics graphs more effectively.

The Changes in the Curricula of the Departments of Library and Information Science (문헌정보학과 학부 교과과정의 변화)

  • Um, Young-Ai
    • Journal of Korean Library and Information Science Society
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    • v.40 no.2
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    • pp.409-427
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    • 2009
  • The purpose of this paper is to trace the changes in the curricula of the Departments of Library and Information Science in the past fifty years. Under the assumption that the education for librarians is supposed to be changed by the influences of the various surroundings, the curricula in the 1960s, 1980s and 2000s of the Departments are analyzed. The past data were collected by literature searches and the present ones on the homepages. It was found out that there have been many changes along with constancies in the curricula. The results are interpreted and some recommendations are suggested.

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The Limits and Problems of 'Pedagogical Phenomenology' for Qualitative Research (질적 연구를 위한 '교육학적 현상학'의 한계와 문제)

  • Bae, Sang-sik
    • Journal of Korean Philosophical Society
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    • v.129
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    • pp.83-109
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    • 2014
  • The aim of this study is to examine the limits and problems of researchers that appear in the papers of applied qualitative research by phenomenological methods. Using phenomenological methods in the field of Pedagogy, pedagogical phenomenology is not to approach pedagogical issues that are closely related to human life through scientism or positivism, but to explain them in things themselves. The problem, however, is that cases misunderstood and distorted in the essential meaning of phenomenology are happening as domestic researchers are applying pure phenomenology(the philosophical phenomenology) to the field of phenomenology of practice(the pedagogical phenomenology). Especially, these researchers show some errors caused by lack of basic understanding about research logic and research techniques in qualitative research methodology. Thus if a researcher carry out a qualitative study by using phenomenological methods, she or he needs insights in analysing and interpreting the essence of the various phenomena appearing from the participants by comparing in with her or his own lives.

Mathmatization As a Method of Teaching Mathematical Thinking (수학적 사고의 교수 방법으로서의 수학화)

  • Yoo Hyun Joo
    • Journal of Elementary Mathematics Education in Korea
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    • v.1 no.1
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    • pp.123-140
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    • 1997
  • Researchers have insisted that mathematics should be learned not as a product but as a process. Nevertheless school mathematics has chosen ‘top-down’ method and has usually instilled into the mind of students the mathematical concepts in the form of product. Consequently school mathematics has been teamed by students without the process of inquiring and mathematical thinking. According to Freudenthal, it is a major source of all problems of mathematics education. He suggested mathematising as the method for 'teaching to think mathematically' 'Teaching to think mathematically' through the process of mathematization, interpreting and analysing mathematics as an activity, is a means to embody the purpose of mathematics education.

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