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A Study on the Mathematics Textbook Considered Student's Individual Difference -Laying Stress on the Gusev's Experimental Textbook- (학습자의 개인차를 고려한 수학교과서에 관한 연구 -구세프의 실험 교과서를 중심으로-)

  • 한인기
    • Journal of the Korean School Mathematics Society
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    • v.7 no.1
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    • pp.37-48
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    • 2004
  • In this article we study on a mathematics(geometry) textbook which is written for the purpose of considering student's individual difference by famous russian author V. A. Gusev. We analyze text and exercise of the experimental textbook, form and extract some didactical ideas that help us to design individualized mathematics classroom activities with students.

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Comments on Developing Mathematics Textbooks Based on Constructivism (구성주의가 수학 교과용 도서에 주는 시사와 난점)

  • 황혜정;임재훈
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.295-309
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    • 1999
  • The primary purpose of this study is to investigate problems with the current mathematics textbook. According to a survey, the following were the findings: Textbook is only a tool-book for introducing mathematical facts. It is a unique book for all students possessing different level of mathematical ability. There is difficulty in teaming math using technological devices and in activating(mental and concrete) manipulative activities. There is difficulty in communicating while doing mathematics. There is lack of defined and developed layout of textbook, et. al. It can be however found that these problems can be solved to some degrees, when mathematics textbook is developed based on constructivism. Recently, in mathematics education, it has been gradually emphasized that constructivism can be powerful in teaching and learning mathematics. There are however some difficulties in developing mathematics textbooks to reflect constructivism, such as to fill the gap between the contents written in the national curriculum determined in advance and the contents which students construct psychologically or socially in mathematics class.

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Understanding Mathematics Textbook Based on the Seventh School Curriculum (제 7차 교육과정에 따른 수학 교과서의 이해: 초등학교를 중심으로)

  • 신항균;황혜정
    • Education of Primary School Mathematics
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    • v.4 no.1
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    • pp.31-41
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    • 2000
  • There has been much concern and worry about executing school curriculum from the year 2000 because the seventh curriculum is based on the complicated' differentiated education' concept. Now the new textbook has been developed according to the curriculum. This paper will reinforce the understanding of the curriculum and textbook in school math. In order to do this, this paper will present questions on three subjects to help school teachers and people related to math education to probe and discuss the benefits and problems of teaching math using the new textbook. The three subjects are based on the contents included in certain chapters of the math textbook. These are 1) understanding mathematics concepts using manipulatives or concrete objects, 2) doing math projects or problem solving activities 3) learning mathematics using calculators. furthermore, it is emphasized in this paper that math teachers must keep in mind that they should execute instruction in their own way using the 'textbook' not as a bible but as a guideline.

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A Study on the Problem Solving Competency Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 문제 해결 역량 요소 탐색 - 중학교 1학년 함수 영역을 중심으로 -)

  • Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.35 no.4
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    • pp.407-427
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    • 2019
  • The six core competencies included in the mathematics curriculum revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the problem solving is very important for students' enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the problem solving such as problem solving process, cooperative problem solving, mathematical modeling, problem posing. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the problem solving competency were shown in each textbook.

An Exploration on the Reasoning Competency Element Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 추론 역량 요소 탐색 - 중학교 1학년 함수 영역을 중심으로 -)

  • Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.37 no.2
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    • pp.149-167
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    • 2021
  • The six core competencies included in the mathematics curriculum revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the reasoning is very important for students' enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of investigation and fact guess, justification, the logical performance of mathematical content and process, reflection of reasoning process, And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the reasoning competency were shown in each textbook.

A Study on the Communication Competency Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 의사소통 역량 요소 탐색 - 중학교 1학년 함수 영역을 중심으로 -)

  • Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.38 no.2
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    • pp.165-185
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    • 2022
  • The six core competencies have been emphasized in the mathematics curriculum revised in 2015. In particular, the communication is very important for students' representing their own thinking and enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the communication such as the understanding of mathematical representation, development and transition of mathematical representation, the representation of his own thinking, the understanding of the others' thinking. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the communication competency were shown in each textbook.

Analysis Study on the Consistency of the Curriculum of Mathematics and Textbooks (수학과 교육과정과 고등학교 <경제수학> 교과서의 일관성 분석 연구)

  • Suh, Bo Euk
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.373-391
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    • 2020
  • This study is an analytical study on textbooks of , which was first presented in the 2015 revised high school mathematics curriculum. The textbook has a very high educational significance in that it is the first textbook developed for students majoring in economics. Analyzing whether these textbooks faithfully follow the spirit of the curriculum is an essential study for nurturing creative and convergent human beings and for personal self-realization. Therefore, in this study, a consistency analysis was conducted to determine whether the textbook fits the textbook development direction suggested by the curriculum developer and is appropriate for the state-approved mathematics curriculum. As a result of analysis, the contents of the textbook did not partially meet these criteria and lacked consistency. In conclusion, it is necessary to prepare more thorough standards for the examination and recognition of high school elective courses in the future.

Undering and its application of performance task based on the Analysis on the Mathematics Textbook (교과서 분석에 기초한 수학과 수행과제의 이해와 활용)

  • Hwang, Hye-Jeang;Hwang, Yun-Ju
    • The Mathematical Education
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    • v.44 no.1 s.108
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    • pp.15-40
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    • 2005
  • This study basically investigates the meaning and properties of performance task applicable to mathematics classroom and it finds out how to run effectively performance task activities included in the present mathematics textbooks. To accomplish this, this study deals with twelves kinds of mathematics textbooks for ninth graders and is proceeded on the basis of textbook analysis and teacher interview. Considering a situation that in future mathematics textbook would be developed, according to the analytic results of this study, common understanding of performance task and qualified performance task are needed, a variety of tasks classified by differentiated level are needed. In addition, each task should be dealt with the contents related to curious and interesting real-life situations. Furthermore, fairness of checking and recording should be established and teachers' positive attitudes to applying performance tasks to math class are needed.

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A comparative study of the revised 2022 Korea mathematics curriculum and the international baccalaureate diploma program mathematics: Applications and interpretation standard level - focusing on high school statistics area

  • Soo Bin Lee;Ah Ra Cho;Oh Nam Kwon
    • Research in Mathematical Education
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    • v.27 no.1
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    • pp.49-73
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    • 2024
  • This study aims to explore the direction of high school statistics education in Korea through a comparative analysis between the revised 2022 Korea mathematics curriculum and the IBDP Mathematics: Application & Interpretation Standard Level (IBDP AI SL) Curriculum and textbooks. The study seeks to investigate the Statistics unit of the two curricula, compare chapter structures and content elements of textbooks, and explore exercises on modeling and utilization of technology tools. The results are as follows: First, the IBDP AI SL statistics covered a broader range of topics. Second, exercises in Korean high school textbooks typically inquire about one or two questions in each topic, whereas the IBDP AI SL textbook's exercises present a real-life scenario on all relevant topics through sub-questions. Third, the Korean textbook guides the utilization of technology tools only in exercises presented after completing the entire chapter or where the calculation is complex. Also, there were only a handful of modeling exercises in the Korean textbook in contrast to most of the lessons and exercises were modeling exercises in the IBDP AI SL textbook. If these findings can be integrated into teaching practices in Korea, it will provide a direction for statistics education in Korean high schools.

An Analysis of 2009 Revised Elementary Mathematics 6th Grade Textbooks and Teacher's Manuals Based on STEAM-related Subject Contents (2009 개정 초등 수학 6학년 교과서 및 교사용 지도서의 STEAM 관련 교과 내용 분석)

  • Kim, Hae Gyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.1
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    • pp.163-192
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    • 2016
  • In this study, we analyzed what STEAM-related subject contents, except mathematical knowledge, are contained in 2009 revised elementary mathematics 6th grade textbooks and teacher's manuals. The STEAM-related subject contents in the textbooks and the teacher's manuals were examined by unit, by semester, and by strand of the content in the elementary school mathematics curriculum. The results are the following: First, in each unit and in each strand of mathematics, the most frequent STEAM-related subject content is storytelling, followed by the STEAM-related subject contents of technology and engineering, natural science, and social studies in order. On the other hand, the number of culture, physical education, music and fine arts contents is very small. Second, the number of STEAM-related subject contents in the textbook for the second semester(textbook 6-2) of the 6th grade year is 61 more than that in the textbook for the first semester(textbook 6-1). The number of non-storytelling STEAM-related subject contents in textbook 6-2 is 107, 2.7 times more than that in textbook 6-1. Third, the teacher's manual for textbook 6-1 is insufficient in complementing the textbook units which lack in STEAM-related subject contents, while the teacher's manual for textbook 6-2 is comparatively good in its complementing role. Therefore, it is recommended that we develop different STEAM materials for our 6th grade mathematics classes.