• Title/Summary/Keyword: 수학과 교과 내용학

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The Study for Problems of course evaluations in mathematics education (수학강좌의 강의평가에 대한 문제점 연구)

  • Moon, Kwon-Bae
    • Communications of Mathematical Education
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    • 제24권4호
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    • pp.909-922
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    • 2010
  • This paper deals with disparities in course evaluation between general and major courses of mathematics education. We provide concrete evidences which verify the mismanagement of the evaluation system and can be an impetus to a more rational one. We indicate the direction to which professors of mathematics education should head. Also those statistics obtained from the author's teaching of mathematics education and related subjects for twelve years are provided for the fact-finding of and improving the erroneous evaluation system.

Elementary School Teachers' Perception on the Need of Professional Development in Mathematics (수학 교과 전문성 개발 필요에 대한 초등 교사의 인식)

  • Park, Jukyung
    • Education of Primary School Mathematics
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    • 제23권4호
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    • pp.191-206
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    • 2020
  • The purpose of this study was to find an implication for a direction to improve professional development in mathematics by exploring elementary school teachers' perception of the need for professional development in mathematics. To this end, 4 elementary school teachers were organized into one focus group, and group discussion materials were collected and analyzed based on cases of mathematics professional development needs. As a result of the study, the elementary school teachers' perception that the need for professional development in mathematics is both unnecessary and necessary. The perception of unnecessary was influenced by the easy level of elementary school mathematics content and the ease of teaching. Also, the perception of necessary factors were considering various aspects of mathematics teaching, changing the accumulation of failures in mathematics classes, maintaining authority of students, demand for class improvement due to social change, the impact of school work, the influence of the community of professional development and peers in school, and efforts to grow as teachers. Based on these results, the author discussed ways to promote teachers' participation in mathematics professional development by considering elementary school teachers' perceptions of the need of mathematics professional development.

A Note on the 'Comparing Objects' Unit as Storytelling in the Elementary School Mathematics Textbooks (초등학교 수학 교과서에 제시된 스토리텔링 방식의 '비교하기' 단원에 대한 교육적 고찰)

  • Paek, Dae Hyun
    • Journal of Elementary Mathematics Education in Korea
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    • 제19권4호
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    • pp.527-544
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    • 2015
  • Storytelling is one of the important features in the elementary school mathematics textbooks of the 2009 revised curriculum. In particular, the whole 'comparing objects' unit in the first grade mathematics textbook is based on storytelling method. In this study, we investigate the contents of the stories and the mathematical activities in the 'comparing objects' unit from both mathematical and character educational viewpoints. Based on our investigations, we analyze educational problems on teaching and learning mathematics as storytelling, suggest reconstructed alternative mathematical activities, and drew their educational implications.

A Comparative Analysis of the Speed in Elementary Mathematics Textbooks of Korea, Japan, Singapore and The US (한국, 일본, 싱가포르, 미국의 초등 교과서에 제시된 속력 개념의 비교·분석)

  • Choi, Eunah;Joung, Youn-joon
    • Journal of Elementary Mathematics Education in Korea
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    • 제22권4호
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    • pp.453-473
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    • 2018
  • In this study, we analyzed the contents of speed concept presented in Korean, Japanese, Singapore, and American elementary mathematics textbooks, and drew implications for the teaching of speed concept in elementary schools. We developed a textbook analysis framework by theoretical discussions on the characteristics of the speed concept based on the proportional relationship and the previous researches on the speed in elementary mathematics. We analyzed the textbooks of four countries and drew some suggestions for improving the teaching of speed concept in Korean elementary schools.

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The Research on the Actual Introduction of Justification to the New Mathematics Textbooks: Focus on the 8th Grade Geometry (수학 교과서의 정당화 도입 실태 분석: 중학교 2학년 기하 영역을 중심으로)

  • Kim, Soo Cheol
    • School Mathematics
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    • 제16권2호
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    • pp.201-218
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    • 2014
  • The purpose of this study is to research the Actual Introduction of Justification that mentioned in the middle school mathematics of 2009 Revised Curriculum. For this, researcher analyzed the new mathematics textbooks for 8th grade that will be applied 2014. Researcher and cooperators analyzed the 8th grade geometry using the criteria of advanced research. The conclusion of this study is following. Frist, Teacher need to present the various types of Justification to be used students of the different levels. Second, Teacher have to lead the activity of Justification to satisfy the needs of students.

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피타고라스 정리의 다양한 증명 방법에 대한 연구

  • Han, In-Gi;Lee, Gyeong-Eon;Hong, Chun-Hui;Choe, Eun-Ju
    • Communications of Mathematical Education
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    • 제13권1호
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    • pp.245-263
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    • 2002
  • 인류 문명의 발달과 함께 폭넓게 활용된 수학적 내용 중의 하나가 피타고라스 정리이다. 특히, 이집트, 메소포타미아, 그리고 중국과 같은 고대 문명의 발생지에서 발굴되는 많은 역사적 기록 속에서 피타고라스 정리에 대한 내용을 찾아볼 수 있다. 피타고라스 정리는 중등학교 수학교육에서 매우 중요한 정리로써, 정리 내용 자체뿐만 아니라 다양한 증명 방법과 증명 과정에 내재된 수학적 아이디어는 수학교육적 측면에서 큰 의미를 가지고 있다. 본 연구에서는 중학교 수학 교과 내용과 관련된 피타고라스 정리의 증명 방법들을 소개하고, 각 증명에 내재된 수학적 아이디어를 기술할 것이다.

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An analysis of the current state of cross-curricular learning topics in mathematics textbooks for grades 5 and 6 (2015 개정 교육과정에 따른 5~6학년군 수학 검정 교과서의 범교과 학습 주제 반영 현황 분석)

  • Kim, Nam Gyun;Oh, Min Young;Kim, Su Ji;Kim, Young Jin;Lee, Yun Ki
    • Communications of Mathematical Education
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    • 제38권1호
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    • pp.27-48
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    • 2024
  • In order to prepare for changes in future society, cross-curricular learning is emphasized, and the need to link cross-curricular learning topics and subjects is increasing. However, there are few studies on how to deal with cross-curricular learning in mathematics education. This study analyzed the contents and methods of cross-curricular learning topics in subject-specific curriculum and mathematics textbooks. As a result of the study, the curriculum can be categorized into four types according to the variety of cross-curricular learning topics applied and the presence or absence of a main cross-curricular learning topic, and the mathematics curriculum belongs to the type where some cross-curricular learning topics are dealt with passively and there is no main topic. On the other hand, the analysis of 10 math textbooks for grades 5 and 6 according to the 2015 revised curriculum showed that, unlike the curriculum, various cross-curricular learning topics were applied in the textbooks, mainly environment and sustainable development education, safety and health education, career education, character education, and economic and financial education. In addition, in mathematics textbooks, cross-curricular learning topics appeared in various types such as materials, questions, explanations, illustrations, and in many cases, they appeared mainly as materials or illustrations. Based on these findings, implications were explored and suggested on how to integrate and apply cross-curricular learning topics in mathematics.

A Study on the Frames of Statistical Graphs in the Elementary School Mathematics Textbooks (초등학교 수학 교과서에서 통계 그래프의 틀에 대한 교육적 고찰)

  • Tak, Byungjoo
    • Education of Primary School Mathematics
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    • 제23권4호
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    • pp.157-173
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    • 2020
  • Although there are various form of statistical graphs in the real world, the statistical graphs in elementary mathematics textbooks are very formalized by the pedagogical constraints. In this study, I examine the frames of statistical graphs and their educational importance, and analyze the frames in Korean, Australian, and MiC textbooks. As a result, the frames of statistical graphs in elementary mathematics textbooks (1) draws students' attention to the components of the graphs, (2) plays a supplementary role in students' drawing graphs by hands, and (3) helps to apply school mathematics to statistical problem solving in real life. The frames of statistical graphs in Korean textbooks is the form of tables focusing on (1) and (2), but these of MiC textbooks has various forms focusing on (3). On the other hand, Austalian textbooks introduced the table-form frames of statistical graphs at the lower graders, but gradually changed to the axis-form frames as the grade level increased. Based on this, a recommendation was drawn on how to deal with the frames of statistical graphs in elementary mathematics textbooks.

Korean students' mathematics achievement according to the TIMSS-R international benchmarks - focused on the relationship with mathematics curriculum and text - (TIMSS-R 국제성취수준에 따른 우리나라 학생들의 수학 성취도 분석-교육과정, 교과서와의 관련성을 중심으로-)

  • 나귀수
    • Journal of Educational Research in Mathematics
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    • 제13권3호
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    • pp.383-401
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    • 2003
  • This study intends to examine the characteristics of Korean students' mathematics achievement according to the TIMSS-R International Benchmarks in the relation with mathematics curriculum and text. The concrete contents of this study are as followings. First, we consider the Korean students' mathematical abilities according to the TIMSS-R international benchmarks classified into Top 10% Benchmark, Upper Quarter Benchmark, Median Benchmark, and Lower Quarter Benchmark. Second, we examine the precent correct and the error-types of Korean students on the anchor items of such benchmarks. From these examinations, we grasp the mathematical titles that Korean students showed insufficient performance and lead the educational implications.

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An Analysis on the Contents of Textbooks about Converting between a Mixed number and an Improper fraction (대분수와 가분수의 상호 변환에 관한 교과서 내용 분석)

  • Lee, Dae Hyun
    • Education of Primary School Mathematics
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    • 제19권4호
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    • pp.277-289
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    • 2016
  • Fraction is one of the concepts which are difficult to elementary school students. So, many researches about fraction were performed in mathematics education research. In special, fraction has so many subordinative concepts-proper fraction, improper fraction, mixed number. We have to concentrate on the conceptual understanding in teaching of fraction. In this case, a mixed number and improper fraction are concepts which can convert respectively. And there are methods that a mixed number and improper fraction can be converted. So, it's needed to analyze the converting methods in textbooks for getting the implication of teaching in this areas. In this study, I analyzed the Korean and foreign's textbooks. I certified the methods-using addition expression, using part-whole model in the textbooks. For the conceptual understanding, I suggested to use the fusion of the various part-whole fraction models and addition expression more than the algorithm in converting between a mixed number and improper fraction. It's reason that the use of models in converting between a mixed number and improper fraction is important for the relational understanding.