• Title/Summary/Keyword: elementary mathematics education

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A Comparative Analysis of Ratio and Rate in Elementary Mathematics Textbooks (비와 비율에 대한 초등 수학 교과서 비교 분석)

  • Chang, Hyewon;Lim, Miin;Yu, Migyoung;Park, Haemin;Kim, Jusuk;Lee, Hwayoung
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.135-160
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    • 2017
  • Since mathematics textbooks for 6th graders based on the 2009 revised national curriculum were applied to the site, there has been a note pointing out that the unit of 'ratio and rate' causes some learning difficulties. This implies the necessity of search for desirable methods of organizing the unit of ratio and rate in mathematics textbooks. This study analyzed and compared Korean and foreign mathematics textbooks on ratio and rate longitudinally and horizontally, respectively. For longitudinal analysis, we selected the mathematics textbooks according to the national curriculum since the 5th one. For horizontal analysis, we took the mathematics textbooks of Japan, Singapore, Hong Kong, and Finland. In each textbook, the contents and the order in relation to ratio and rate, the definitions of terminology, and the methods for introducing related concepts are set as the analysis framework. The results of analysis revealed many characteristics and the differences in ways of dealing contents about ratio and rate. Based on these results, we suggested some implications for writing the unit of ratio and rate in elementary mathematics textbooks.

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Analysis of Elementary School Mathematics Textbooks for the Development of Mathematics Curriculum to Meet the Needs of the Knowledge-Driven Society (지식기반사회에서의 초등수학과 교육과정 개발을 위한 기초연구로서의 제 7차 초등 수학 교과서 분석)

  • 김경자;정미화;손지원
    • Education of Primary School Mathematics
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    • v.6 no.1
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    • pp.11-28
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    • 2002
  • The purposes of this study were to analyze elementary school mathematics textbooks developed in accordance with the 7th national amended curriculum and to find implications for the development of a new revised curriculum to meet the needs of the knowledge-based society. Elementary school mathematics textbooks and accompanying practice books were analyzed. Teacher's manuals were also studied to examine the intentions of the textbook developers. The two major questions were sought. First, to what degree do elementary school mathematics textbooks and practice books match with the intentions of the national curriculum\ulcorner Second, how do elementary school mathematics textbooks and practice books facilitate student's learning for understanding mathematics\ulcorner The findings were as follows. First textbooks, practice books, and teacher's manuals appeared not to reflect the intentions of the 7th amended curriculum to the full extent. Second, characteristics and roles of textbooks, practice books, and teacher's manuals were not clearly defined and therefore, they were not very feasible for teaming for understanding mathematics. The recommendations for a new revised curriculum were suggested. First, regarding the contents presented in the textbooks, the idea of structure of subject matter need to be considered in order to help students to understand connections of concepts and relationships between concepts and functions in mathematics. Second, more ill defined problems should be presented to develop problem solving ability in real life contexts in students. Third, contents for relearning and enrichment need to be reorganized to reflect students' real ability. Fourth, uses of the concrete and the manipulative need to be more realistically suggested. Fifth, more prototypes of performance assessment tasks, scoring rubrics, and portfolios need to be presented in a more teacher-friendly manner. Sixth, characteristics and roles of textbooks and practice books need to be more discernible.

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An Investigation on the Possibility to Teach Mathematical Principles of Tessellations in Elementary School Mathematics (초등학교에서 테셀레이션의 수학적 원리 지도 가능성 탐색)

  • Baek, Seon-Su;Kim, Won-Kyung
    • The Mathematical Education
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    • v.46 no.1 s.116
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    • pp.81-96
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    • 2007
  • This study was conducted to investigate the possibility of teaching tessellations' mathematical principles in elementary school mathematics. A survey was carried out and the two hours of the instructional experiment were developed for this study triangular tessellation activity and rectangular tessellation activity. Six fifth graders from W elementary school participated voluntarily in the instructional experiment. It was shown from the survey that teachers and students both know what the tessellation is, but they don't know what the mathematical principles really are in the tessellation. This is because they have just done the covering up-activities in class. It was seen from the instructional experiments that even ordinary students were able to understand the mathematical principles of the tessellation if teachers could throw the suitable focusing questions like 'how to move the rectangles making sides equal' and 'how to gather vertexes making angle $360^{\circ}$'. Furthermore, it is desirable to teach the rectangular tessellation prior to the triangular tessellation since the rectangular tessellation is more easy to deal with than the triangular tessellation.

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A case study on the design and application of metaverse class space in elementary mathematics: Focusing on the affective domain (초등 수학에서 메타버스 수업 공간 설계 및 적용 사례 연구: 정의적 영역을 중심으로)

  • Park, Mangoo;Lee, Yunkyung;Jeong, Bohwa;Jung, Yujin;Kim, Jiyoung
    • The Mathematical Education
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    • v.62 no.1
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    • pp.117-149
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    • 2023
  • This study attempted to design a virtual space using ZEP, a metaverse platform, to enable mathematics classes in the metaverse space, to apply it to mathematics classes, and to find out changes in students' affective domain. As a result, students showed positive effects in terms of subject efficacy, subject interest, intrinsic motivation, class satisfaction and participation. In addition, we found the possibility of customized classes for each student level by performing different missions in classroom classes with limited time and space.

A Design for Instructional Models to Use Calculators in Elementary School Mathematics (계산기를 활용한 초등학교 수학과 교수-학습 모형 개발)

  • Ahn Byung-gon;Kim Young-tae;Rim Hae-Kyung;Rew Keun-bong
    • Journal of Elementary Mathematics Education in Korea
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    • v.4 no.1
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    • pp.1-19
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    • 2000
  • This paper aims to enhance students' interest in the use of calculators in mathematics education and promote their use of calculators in real-life situations. Towards these ends, problem types and instructional models developed for the efficient utilization of calculators. The instructional models focus on teaching mathematics relying on the path through which expert teachers have gone through to gain relevant knowledge. By developing problem types and instructional models suitable for calculator use, We can contribute to a better attainment of instructional goals in mathematics education. The instructional models and problem types will aid teachers in making decisions about instructional development plan and basic features of instructional activities. The use of a new medium will also lead to increased interest and confidence in learning, thus contributing to the enhancement of students' ego.

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Perspectives on the Use of Elementary Mathematics Textbooks by the Pre-service Teachers (예비교사의 초등수학교과서 활용에 대한 관점)

  • Park, Mangoo
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.461-482
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    • 2019
  • The purpose of this study was to analyze the elementary pre-service teachers' perspectives on the use of the elementary mathematics textbooks by observing mathematics classes at the schools and to present suggestions on the use of textbooks in the mathematics classes. For this study, let 54 pre-service elementary school teachers observe a total of 54 classes (1,299 students) in the first through sixth grades at 15 areas in Seoul city. With the observations of the mathematics classes, the researcher analyzed the pre-service elementary teachers' perspectives on the use of resources including mathematics textbooks in the elementary mathematics classes. As a result of the study, the pre-service teachers recognized that mathematics textbooks are the main material for mathematics classes, but they think that they need to reconstruct the contents of the textbooks for effective teaching and learning mathematics. In addition, various additional materials need to be used in order to help students learn mathematics more effectively, including by differentiated materials. Also, instruments used in the classes were mainly consisted of TV and PPT data. Pre-service teachers were not much satisfied with the contents of the elementary mathematics textbooks. However, they did not feel the need for development of digital textbooks. The researcher suggested a long term research on how to use study materials such as textbooks within the overall mechanism of teaching and learning processes. Also, practical teacher education programs that include applications of textbooks at schools are necessary in order to improve the quality of mathematics teaching and learning.

Applications of R statistical package on Probability and Statistics Education in Elementary, Middle and High School(I) (초.중.고등학교 확률 및 통계영역 교육에서의 R 통계패키지의 활용(I))

  • Jang, Dae-Heung
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.199-225
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    • 2007
  • We can use R package as a statistical package on the education of probability and statistics in elementary, middle and high school mathematics. R is an interactive mode package and graphical presentation tools in R are powerful. The greatest advantage is that R is a general public license package. We need to consider R package as a standard statistical package on the education of probability and statistics in elementary, middle and high school mathematics.

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A Comparative Study on Early Algebra between Korea and USA Textbooks -focusing to operation sense in the elementary mathematics- (우리나라와 미국의 초기대수 비교 연구 -초등수학 교과서에 제시된 연산 감각을 중심으로-)

  • Kim, Sung Joon
    • East Asian mathematical journal
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    • v.29 no.4
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    • pp.355-392
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    • 2013
  • Generally school algebra is to start with introducing variables and algebraic expressions, which have major cognitive obstacles to students in the transfer from arithmetic to algebra. But the recent studies in the teaching school algebra argue the algebraic thinking from an early algebraic point of view. We compare the Korean elementary mathematics textbooks with Americans from this perspective. First, we discuss the history of school algebra in the school curriculum. And Second, we investigate the recent studies in relation to early algebra. We clarify the goals of this study(the importance of early algebra in the elementary school) through these discussions. Next we examine closely the number sense in the arithmetic and the symbol sense in the algebra. And we conclude that the operation sense can connect these senses within early algebra using the algebraic thinking. Finally, we compare the elementary mathematics books between Korean and American according to the components of the operation sense. In this comparative study, we identify a possibility of teaching algebraic thinking in the elementary mathematics and early algebra can be introduced to the elementary mathematics textbooks from aspects of the operation sense.

A Comparative Analysis on the Primary Mathematics Textbooks for Multiplication and Division of Decimals: Focusing on Korea, Japan, Singapore, and Finland (소수의 곱셈과 나눗셈에 대한 초등 수학교과서 비교 분석: 한국, 일본, 싱가포르, 핀란드를 중심으로)

  • Park, Mangoo;Park, Haemin;Choi, Eunmi;Pyo, Junghee
    • Education of Primary School Mathematics
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    • v.25 no.3
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    • pp.251-278
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    • 2022
  • The purpose of this study is to obtain implications for mathematical education by analyzing how the multiplication and division of decimal numbers are presented in the elementary mathematics textbooks in Korea, Japan, Singapore, and Finland. Compared to the fact that students often have misconceptions about multiplication and division of decimal numbers, there have been not many comparative studies in recent elementary mathematics textbooks. For this study, we selected elementary mathematics textbooks those are widely used in Japan, Singapore, and Finland along with Korean elementary mathematics textbooks. We chose the textbooks because the students in the selected countries have scored high in international achievement studies such as TIMSS and PISA. The analysis was examined in terms of elementary mathematics curriculum related to multiplication and division of decimal numbers, introduction and content, real-life situations, use of visual models, and formalization methods of algorithms. As a result of the study, the mathematics curricula related to multiplication and division of decimal numbers includes estimation in Korea and Finland, while Japan and Singapore emphasize real-life connections more, and Finland completes the operations in secondary schools. The introduction and content are intensively provided in a short period of time or distributed in various grades and semesters. The real-life situations are presented in a simple sentence format in all countries, and the use of visual models or formalization of algorithms is linked to the operations of natural numbers in unit conversions. Suggestions were made for textbook development and teacher training programs.

Analysis of Effect that Pair Programming Develope of Computational Thinking and Creativity in Elementary Software Education (초등학교 SW교육에서 동료 프로그래밍 교육 방법이 컴퓨팅 사고력과 창의성 신장에 미치는 효과 분석)

  • Seo, Youngho;Yeom, Miryeong;Kim, Jonghoon
    • Journal of The Korean Association of Information Education
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    • v.20 no.3
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    • pp.219-234
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    • 2016
  • In this study, It analyzed the effect of pair programming teaching methods in elementary software education. At first, for the development of SW educational programs it surveyed 162 elementary students and 34 teachers in J area. As a result, developed SW educational programs based on geometry in elementary mathematics and it was applied. For application SW programs it was constructed 22 students experimental group, 22 students comparison group of 44 students in 3, 4, 5th grade the winter break of ${\bigcirc}{\bigcirc}$ university education donation application. First, software education using pair programming will be more effective on the development of elementary school students' computational thinking. Second, software education using pair programming will be more effective on the development of elementary school students' creativity. Test results, pair programming is to show a significant difference on the development of computational thinking and creativity in elementary software education.