• Title/Summary/Keyword: 수학과 교과 내용학

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A study on mathematics class in North Korea (북한 수학 수업에 관한 연구)

  • Byun, Heehyun
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.297-311
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    • 2013
  • The mainstream approaches to understand the characteristics of North Korean mathematics education focus on the comparative studies between South and North Korean mathematics curriculum and textbooks through literature analysis. These approaches make it possible to understand what is taught in mathematics class of North Korean school. But it is hard to find any information on how teachers teach mathematics and how students learn it. This study searches North Korean class environment, preparation for class, teaching and learning methods to understand mathematics class in North Korea as they really are. It is extremely difficult to make first-hand observations on North Korean class. Instead, this paper adopted interviews with teachers who have experience of teaching in North Korean school and now live in South Korea. By doing this, it is possible to get some understanding, although somewhat limited, the real aspects of North Korean mathematics class. As a result, there are distinct differences in the characteristics of North Korean mathematics class environment, preparation for class, teaching and learning methods, compared with South Korean.

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Chemistry teachers' perceptions on aims, contents, and evaluations of the 7th Chemistry I Curriculum and realities of instruction in classrooms (제7차 화학 I 교육과정의 목표, 내용 및 평가에 대한 화학교사들의 인식 및 수업의 실제)

  • Kim, Hye-Young;Paik, Seoung-Hey
    • Journal of The Korean Association For Science Education
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    • v.29 no.6
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    • pp.653-665
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    • 2009
  • The purpose of this research is to estimate the chemistry teacher's perceptions of Chemistry I course based on the 7th national curriculum through actual class teaching situations and interviews and teaching guidance of an actual class through a lesson and an interview. For this research, four chemistry teachers who have had an experience teaching the chemistry I course were selected. As the results of the research show, chemistry teachers had the correct understanding of the purpose of the Chemistry I course, but they were teaching the concepts of Chemistry II . They thought the reason for the teaching was the national scholastic aptitude test. But according to analysis, the contents of the previous tests were hardly beyond the limit of Chemistry I course. For this research, the chemistry teachers looked for the purpose of Chemistry I course based on the 7th curriculum only at the superficial views, and the teacher's wrong understanding about the tests disturbed the revelation of the spirit of Chemistry I course of the 7th national curriculum.

A Study on a Step-wise level Educational Model for Calculus (미분적분학 단계별 교육을 위한 교과내용 및 방법 연구)

  • Shim J. D.;Ha J. H.;Lee K. H.;Chun C. B.
    • Communications of Mathematical Education
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    • v.19 no.4 s.24
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    • pp.633-647
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    • 2005
  • The rapid change in school mathematics curricula occurred over last some periods requires lots of change or improvement in the education method for the university mathematics, especially in calculus. As an effort in this direction we restrict our concern to the freshmen of year 2002 of the Korea university of technology and education to investigate a correlation between their mathematics score on the national entrance examination and achievement score measured by their final grades in a calculus course. As a result of this research we propose a step-wise level educational model for the calculus education. In the model an appropriate teaching contents and method proceeding through the three steps are suggested and implementation issues are discussed. We believe that carrying out mathematics curricular are suggested in the model will be of service to calculus education particularly for student under the 7th national curriculum reform.

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A Study on the Fundamental Theorem of Calculus : Focused on the Relation between the Area Under Time-velocity Graph and Distance (미적분의 기본정리에 대한 고찰 - 속도 그래프 아래의 넓이와 거리의 관계를 중심으로 -)

  • Joung, Youn-Joon;Lee, Kyung-Hwa
    • Journal of Educational Research in Mathematics
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    • v.19 no.1
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    • pp.123-142
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    • 2009
  • Dynamic context is considered as a source for intuitive understanding on the calculus. The relation between the area under time-velocity graph and distance is the base of the dynamic contexts which are treated in the integral calculus. The fundamental theorem of calculus has originated in dynamic contexts. This paper investigated the fundamental theorem of calculus via the relation between the area under time-velocity graph and distance. And we analyzed mathematics textbooks and the understanding of students. Finally we suggest some proposal for the teaching of the fundamental theorem of calculus.

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A Study on Reorganization of 'Pythagorean Theorem' in School Mathematics (학교수학에서 '피타고라스 정리' 관련 내용의 재구조화 연구)

  • Suh, Bo Euk
    • The Mathematical Education
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    • v.57 no.2
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    • pp.93-110
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    • 2018
  • One of the biggest changes in the 2015 revised mathematics curriculum is shifting to the second year of middle school in Pythagorean theorem. In this study, the following subjects were studied. First, Pythagoras theorem analyzed the expected problems caused by the shift to the second year middle school. Secondly, we have researched the reconstruction method to solve these problems. The results of this study are as follows. First, there are many different ways to deal with Pythagorean theorem in many countries around the world. In most countries, it was dealt with in 7th grade, but Japan was dealing with 9th grade, and the United States was dealing with 7th, 8th and 9th grade. Second, we derived meaningful implications for the curriculum of Korea from various cases of various countries. The first implication is that the Pythagorean theorem is a content element that can be learned anywhere in the 7th, 8th, and 9th grade. Second, there is one prerequisite before learning Pythagorean theorem, which is learning about the square root. Third, the square roots must be learned before learning Pythagorean theorem. Optimal positions are to be placed in the eighth grade 'rational and cyclic minority' unit. Third, Pythagorean theorem itself is important, but its use is more important. The achievement criteria for the use of Pythagorean theorem should not be erased. In the 9th grade 'Numbers and Calculations' unit, after learning arithmetic calculations including square roots, we propose to reconstruct the square root and the utilization subfields of Pythagorean theorem.

The Analysis study of 'datum' 'in Middle School Geometry on the Basis of 'The Data' of Euclid (유클리드의 자료론(The Data)에 기초한 중학교 기하영역의 '자료(datum)' 분석 연구)

  • Suh, Bo-Euk
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.691-708
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    • 2010
  • The purpose of this study is to analyze 'datum' of 'The Data' in the textbooks of middle school on the basis of 'The Data of Euclid' and develop datum. For this, the followings are conducted. First, the distinctive structure of datum of 'The Data' is considered. Second, some learning materials the contents of geometry in the textbooks of middle school are analyzed and the mathematical meanings are explored. Third, the applicable datum to geometry education of middle school are developed and the way of educational use is studied. The hopefully, the result of this study will make school mathematics education more plentiful and give meaningful implications to revision of mathematics education curriculum and the improvement of teaching and learning.

An Exploration of the Improvement Direction for Decimal Fractional Multiplication Unit in Textbooks (소수 곱셈 단원의 교과서 개선 방향 탐색)

  • Kim, Sukyoung;Kim, Jinsook;Kwon, Sungyong
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.475-496
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    • 2018
  • Although the multiplication of decimal fractions is expected to be easy for students to understand because of the similarity to natural numbers multiplication in computing methods, students show many errors in the multiplication of decimal fractions. This is a result of the instruction focused more on skill mastery than conceptual understanding. This study is a basic study for effectively developing a unit of multiplication of decimal fractions. For this purpose, we analyzed the curriculums' performance standards, significance in teaching-learning and evaluation, contents and methods for teaching multiplication of decimal fractions from the 7th curriculum to the revised curriculum of 2015 and the textbooks' activities and lessons. Further, we analyzed preceding studies and introductory books to suggest effective directions for developing teaching unit. As a result of the analysis, three implications were obtained: First, a meaningful instruction for estimation is needed. Second, it is necessary to present a visual model suitable for understanding the meaning of decimal multiplication. Third, the process of formalizing an algorithms for multiplying decimal fractions needs to be diversified.

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Effects of Math Instruction Using Clip-Type Contents on Elementary Students' Mathematical Learning (클립형 콘텐츠를 활용한 수학 수업이 초등학생의 수학 학습에 미치는 영향)

  • Kim, Youn-Kyoung;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.2
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    • pp.357-377
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    • 2014
  • The purpose of this study is to identify whether math class with clip-type contents has a significant impacts on the academic achievement and attitude of students. To answer the questions, two classes of 4th graders at Sinlim Elementary School in Gwanak-gu, Seoul were selected as subjects; they were divided into experimental group and comparative group. They were confirmed as a homogeneous group at the significance level of 0.05 during a pre-test. The findings are as follows. First, math class with clip-type contents had positive influence on the academic achievement. Second, math class with clip-type contents had positive influence on the attitude towards learning. Furthermore, proper clip-type contents for class boost their understanding and enhance their mathematical thinking with multiple views. It led to their self-confidence in learning math, developing a positive attitude towards math. The benefits of the present research can be summarized as follows. First, the math class with clip-type contents benefited both teachers and students. For teachers, it helped them boost the quality of their teaching. For students, it helped them understand the class better, improving their academic achievement. Second, the diverse, interesting contents had a positive impact on the following of the students: self-concept of math; attitude towards math; learning habits.

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산수과 학습 보조 자료의 효율적인 활용 방안

  • 정창현;양인환;양순렬;신성균
    • The Mathematical Education
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    • v.29 no.2
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    • pp.117-139
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    • 1990
  • 본 연구는 국민 학교 산수 익힘책의 효율적인 활용 방안을 찾는 데 목적이 있으며, 이를 위하여 선행 및 문헌 연구와 "산수 익힘책"의 활용 실태를 조사하였다. 본 연구에서 수행한 연구 내용을 요약하면 다음과 같다. 가. 이론적 배경 연구 및 산수 익힘책의 개발 방향 문헌과 선행 연구를 통하여 보조 교과서의 특성에 따를 활용 방안 및 보조 교과서의 학습 내용에 따른 틀용 방안을 이론적으로 고찰하였고, "산수 익힘책"의 개발 방향 및 그 특색에 대하여 조사하였다. 나. 활용 실태 조사 사용하고 있는 "산수 익힘책"의 활용 실태를 파악하여, 활용 방안을 마련하는 기선 자료를 수집하기 위함이며, 조사 내용은 다음과 같다. 1) 조사 내용 (1) 교사의 측면에서 ㆍ "산수 익힘책"의 도움 정도 ㆍ "산수 익힘책"의 수업 시간에의 활응 목적, 방법 ㆍ "산수 익힘책"의 활용시 편리성 ㆍ 흥미성 ㆍ 활용 시기 ㆍ 가정 학습으로 부과시의 목적 ㆍ 문제 풀이 결과 확인자 ㆍ 교육 과정 반영 정도 ㆍ 개선점 (2) 학부모의 측면에서 ㆍ"산수 익힘책"의 활용 목적 ㆍ "산수 익힘책"의 활용 정도 ㆍ "산수 익힘책"의 도움 정도 ㆍ 학부모의 역할 정도 ㆍ "산수 익힘책"에 대한 학생의 흥미도 ㆍ "산수 익힘책"의 개선점 2) 조사 도구 조사 내용에 대하여 국민 학교 1, 2, 3학년 담임 교사용과 학부모용의 질문지를 각각 작성하여 전문가의 검토를 거쳐 "산수 익힘책"의 활용에 관한 실태 조사지를 개발하였다. 이 때, 각 학년별 교사용끼리, 학부모용끼리의 질문지의 문항은 서로 같게 하였으며 교사용은 25문항, 학부모용은 16문항으로 구성하였다. 다. 활용 방안 구안 "산수 익힘책"의 개발 방향과 "산수 익힘책"의 활용 실태 조사에 기초하여 산수 익힘책의 효율적인 활용 방법을 수업 절차에 따라 구분하였다. 수업 절차는 여러 가지 형태가 있지만 본 연구에서는 KEDI의 수업 과정 일반 모형에 준하여 산수 익힘책의 활용 방법을 구안하였다. 라. 활용 방안을 구안하였다. 1) 적용 목적 구안된 "산수 익힘책"의 활용 방안의 현장 적용은 활용 방안의 질을 높이려는 대에 중요한 목적이 있다. 적용 결과는 현장 적용 가능성을 판단할 수 있는 입증 자료가 될 수 있을 뿐만 아니라, "산수 익힘책" 관심을 가지고 있는 교사나 연구자에게 학력 향상 가능성에 대한 경험적 근거를 제시함으로써 중요한 시사를 줄 수 있을 것이다. 2) 적용 결과 전체적으로 적응 수업이 실시된 지 3주후 부터는 활용 방안에 익숙해져 "산수 익힘책"을 효과적으로 활용할 수 있었다. 그 뿐만 아니라 자율학습시 학생들 스스로가 상호 확인을 하고, 서로 결손이 있는 부분을 가르쳐 주는 협동 학습이 이루어졌다.

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Development of Mobile Sage-math and its use in Linear Algebra (모바일 환경에서의 Sage-Math의 개발과 선형대수학에서의 활용)

  • Ko, Rae-Young;Kim, Duk-Sun;Bak, Jin-Yeong;Lee, Sang-Gu
    • Communications of Mathematical Education
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    • v.23 no.4
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    • pp.1023-1041
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    • 2009
  • The importance of the mathematical education on the ICT environment has been increased as the educational environment has been changed in 21st century. In Korea, many researches on ICT tools have appeared over the last 10 years. But most of researches are depending on the foreign tools, that was one major obstacle on adapting them in our mathematics curriculum. But we found the new open source tool which is called Sage-Math can be in effective solution to resolve those problems. Now we produce what we have done in linear algebra with this Sage-Math and mobile modules.

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