• Title/Summary/Keyword: Mathematics Contents in Middle School

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Prospective Elementary School Teachers' Perception on Using the History of Korean Mathematics (예비 초등교사의 한국수학사 활용에 대한 인식)

  • Choi, Eunah
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.491-511
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    • 2015
  • This study analyzed the perception of prospective elementary school teachers in relation to using the history of Korean mathematics. The results of this study showed that the pre-service teachers realized using the history of Korean mathematics more importantly than the history of mathematics. They thought that the contents of the history of Korean mathematics should be increased in mathematics education and pre-service teacher education. The participation experience in teacher education about the history of Korean mathematics had a positive effect on the perception of pre-service teachers. Finally, this paper asserted that teacher education is the key to the teacher perception on and using of the history of Korean mathematics.

The Effect to Improvement of Self-Educability through the Development and Application of a Level-Learning Materials Reconstructed Text Book - Simultaneous Equations of the Second Year of Middle School - (교과서를 재구성한 수준별 학습지의 개발과 적용을 통한. 자기학습력 신장에 미치는 영향)

  • 박기석;송원수
    • Journal of the Korean School Mathematics Society
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    • v.3 no.2
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    • pp.69-82
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    • 2000
  • Mathematics is the subject that requires high mental function such as the ability of logically thinking and investigating. Because of the reason there exists much greater difference in students' individual scholastic abilities in mathematics class than in other classes. Recently many schools organize students into two or three level-based mathematics classes according to each student's level to solve the problem. But in spite of its many merits the new system of class organization has some problems. The problem which is pointed out as the most serious thing frequently is that many teachers still use the same textbook and the same teaching method for all students, not considering student's level. Obviously it causes the reduction of students' interest and motivation. In this point of view, I tried to solve such a problem by development and application of level learning materials reconstructed text book according to students' abilities and levels through this research. As the result of the research to examine the changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics has occurred, the following conclusion comes out. 1. Through the mathematics class utilizing level learning materials reconstructed textbook, students come to recognize that level learning materials are more effective than uniformed contents of the same textbook and get more active learning attitude. 2 The application of level learning materials in a level-based class has contributed to increasing students' interest in mathematics. Furthermore it was also effective in the positive changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics.

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A Study on the Function Education of Middle School Using the Technical Instruments (중학교 1학년 함수지도에서의 공학적 도구 활용에 관한 연구)

  • Chu, Soon-Jong;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.189-209
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    • 2009
  • One of the characteristics in math -abstract concept- makes the students find difficulties in understanding general ideas about math. This study is about how much do the modeling lessons using the technical instruments which is based on the realistic mathematical theory influence on understanding the mathematical concept. This study is based on one of the contents the first grade of middle school students study, the function, especially the meaning of it. Some brilliant students being the objects of this study, mathematically experimental modeling lesson was planned, conducted. Survey on the students' attitudes about math before and after the modeling classes and Questionnaire survey on the effectiveness about the modeling class were conducted and their attitudes were recorded also. This study tells that students show very meaningful changes before and after the modeling class and scientific knowledge seems to be very helpful for the students to understand the mathematical concept and solve the problems. When scientific research and development get together with mathematics, students will be more motivated and be able to form the right mathematical concept easily.

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A textbook analysis of irrational numbers unit: focus on the view of process and object (무리수 단원에 대한 교과서 분석 연구: 과정과 대상의 관점으로)

  • Oh, Kukhwan;Park, Jung Sook;Kwo, Oh Nam
    • The Mathematical Education
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    • v.56 no.2
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    • pp.131-145
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    • 2017
  • The representation of irrational numbers has a key role in the learning of irrational numbers. However, transparent and finite representation of irrational numbers does not exist in school mathematics context. Therefore, many students have difficulties in understanding irrational numbers as an 'Object'. For this reason, this research explored how mathematics textbooks affected to students' understanding of irrational numbers in the view of process and object. Specifically we analyzed eight textbooks based on current curriculum and used framework based on previous research. In order to supplement the result derived from textbook analysis, we conducted questionnaires on 42 middle school students. The questions in the questionnaires were related to the representation and calculation of irrational numbers. As a result of this study, we found that mathematics textbooks develop contents in order of process-object, and using 'non repeating decimal', 'numbers cannot be represented as a quotient', 'numbers with the radical sign', 'number line' representation for irrational numbers. Students usually used a representation of non-repeating decimal, although, they used a representation of numbers with the radical sign when they operate irrational numbers. Consequently, we found that mathematics textbooks affect students to understand irrational numbers as a non-repeating irrational numbers, but mathematics textbooks have a limitation to conduce understanding of irrational numbers as an object.

Technology as Instruments and the Change of Paradigm in Mathematics Learning (Instrument로서의 테크놀로지와 수학 학습 패러다임의 변화)

  • Kim, Boo-Yoon;Lee, Ji-Sung
    • The Mathematical Education
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    • v.47 no.3
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    • pp.261-271
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    • 2008
  • First, we have reviewed the concepts of technology as tools, artefacts, and instruments and then introduced constructivism, mathematical communication, and anthropological views on the technology as instruments. Next, this study has supported the anthropological studies considering the facts that learners develop instrumented schemes in the interactions among learners, tools, and mathematical knowledge, and has discussed the change of paradigm. Finally, we have argued that curriculum, epistemology, and relevant studies should be changed to the new paradigm, and then we have discussed that the change of paradigm should be established on the nature, the purpose, the contents, and the assessment in mathematics learning and the role of teachers.

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On the Development of a Multimedia Title for Learning Simple Closed Curve (단일폐곡선을 학습하기 위한 멀티미디어 타이틀 개발과 그 적합성 분석)

  • 박태호;김원경
    • The Mathematical Education
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    • v.38 no.1
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    • pp.87-94
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    • 1999
  • A multimedia CD title is developed for learning simple closed curve and Mobius band which are one of mathematics contents in the first grade of middle school. This title visualizes various figures through graphics and animations so that students can easily understand the relevant concepts and learn them with fun. It is shown that 88.6% of 30 sampled teachers are positive for the title and that 86.7% want to use it as a teaching tool in their classes.

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Analysis of Change of Achievement Standards According to Curriculum of Mathematics in Elementary School: Focusing on Geometry Domain (초등학교 수학과 교육과정에 따른 성취기준 변화 분석: 도형 영역을 중심으로)

  • Kim, Hyunmi;Sihn, Hanggyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.4
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    • pp.437-457
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    • 2019
  • In this study, we analyzed how the content and achievement criteria of the Geometry domain of Korean elementary school mathematics curriculum have changed. To this end, based on the analysis framework based on the 2015 revised curriculum, the achievement standards for each period were classified into continuous, extinct, and additional types, and their characteristics were examined. In the domain of Geometry, continuous achievement standards accounted for 51% of the total, and there were many achievement standards that remained unchanged in grade and domain. The extinctive achievement standard is 20.4% of the total, and the mathematics contents that were rapidly introduced due to the modernization of mathematics in the 3rd curriculum were eliminated the most from the 4th curriculum, and after the 7th curriculum, With the introduction of staged curriculum and the system of school year group, the contents of learning were either integrated or moved to middle school. The additional achievement standard was 28.6% of the total, and the achievement standard was added the most with the introduction of spatial sensory development in the 7th curriculum. The GAct that the additivel achievement standard is more than the extinction achievement standard in the Geometry domain is the result of the efforts to actively introduce the geometric contents appropriate to the times despite the great flow of curriculum revision of the curriculum reduction. It is hoped that the results of these studies will be used as basic data in the formation of new achievement standards in future curriculum development.

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A Note on the Terms and Notations Introduced in Middle School Mathematics (중학교 수학에서 도입된 용어 및 기호에 관한 고찰)

  • Kim, Heung-Ki
    • School Mathematics
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    • v.10 no.2
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    • pp.223-257
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    • 2008
  • To understand terms and symbols correctly which is the basic factor of teaming mathematics is important for understanding and utilizing related mathematic contents. Since the definition of terms and symbols is the important starting point of learning mathematics, it has been studied a lot since the ancient times. This study investigates the transition of terms and symbols which was presented in our curriculum after Korea's independence and it also investigates terms and symbols which are used for the current middle school text books. As a result of studying the transition of the terms, more detailed and broader analysis should be done for the explanation, modification, deletion, and creation of the terms. And complements are needed for some of the terms and symbols. Also, some definition of the terms which are used in some of the current middle school text books should be explained in a way that is suitable for the students' capability. And some errors and omissions of the terms need to be corrected. Furthermore, we need to compare our definition of terms with that of the other countries and modify them if it is necessary. Also, It is better to put guidelines about the interpretation of terms and symbols in the curriculum to reduce the confusion which can be produced by the variety of explanation of the definition of terms and symbols.

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Schemes to incorporate key competencies for the gifted in the middle school math teaching (핵심역량에 기초한 중학교 수학 수업 방안 탐색 -수학 영재 수업을 중심으로-)

  • Choe, Seong Hyun;Park, Ji Hyun;Nam, Geum Cheon
    • Communications of Mathematical Education
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    • v.27 no.2
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    • pp.99-119
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    • 2013
  • This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.