• Title/Summary/Keyword: 수와연산

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An Analysis of STEAM Elements Included in the Elementary School Mathematics Textbooks Revised on 2009 - Focusing on the 5th and 6th Grade Group - (2009 개정 교육과정에 따른 초등수학교과서의 STEAM 요소 분석: 5~6학년군을 중심으로)

  • Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.333-351
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    • 2016
  • This study analyzed what STEAM elements, except mathematical content, are contained in 2009 revised elementary school 5th and 6th grade group mathematics textbooks. STEAM elements in the textbooks were examined by grade and by content area in the elementary school mathematics curriculum. The results were as follows. First, the number of STEAM elements in mathematics 5-1, 5-2, 6-1, 6-2 are 151(18.4%), 212(25.9%), 211(25.7%), 246(30.0%), respectively. The 6th Grade than in 5th Grade can be seen a few plenty. Second, the number of STEAM elements are different depending on the type of STEAM. The number of arts element is 617(75.2%) and this elements are seen the most. The number of representative art and cultural art is 445(54.3%) and 172(20.9%), respectively. The number of technology-engineering and science is 158(19.2%) and 45(5.5%), respectively. We need to developed to promote use of science element in next mathematics curriculum.

A Longitudinal Study on the Mathematical Contents Changed in 2015 National Revised Curriculum for Elementary School Mathematics (2015 개정 초등 수학과 교육과정의 변화 내용에 대한 종적 분석)

  • Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.215-238
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    • 2016
  • The 2015 national revised curriculum was notified officially the last year. The intent and direction of the revision caused more or less change for mathematical contents to be taught and is expected to cause a considerable change in math class. In the level of elementary school mathematics, it turned that several contents were deleted or moved to the upper grades because the revision focused especially both on reducing students' burden of learning and on fostering the mathematical key competences. This study aims to examine the relevance of the change through investigation of the national curriculums for elementary school mathematics since 1946. The mathematical contents to be analyzed in this study were mixed calculation of natural numbers, mixed calculation of fractions and decimal fractions, position and direction of objects, are/hectare and ton, the range of numbers and estimating, surface and volume of cylinders, pattern and correspondence, and direct/inverse proportionality, which were changed in any aspect relative to 2009 national revised curriculum. Based on the results of these analyses, the discussion will provide some suggestions for setting the direction of elementary mathematics curriculum.

Analysis on Error Types of Descriptive Evaluations in the Learning of Elementary Mathematics (초등수학 서술형 평가에서 나타나는 오류 유형 분석)

  • Jung, Hyun-Do;Kang, Sin-Po;Kim, Sung-Joon
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.885-905
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    • 2010
  • This study questions that mathematical evaluations strive to memorize fragmentary knowledge and have an objective test. To solve these problems on mathematical education We did descriptive test. Through the descriptive test, students think and express their ideas freely using mathematical terms. We want to know if that procedure is correct or not, and, if they understand what was being presented. We studied this because We want to analyze where and what kinds of faults they committed, and be able to correct an error so as to establish a correct mathematical concept. The result from this study can be summarized as the following; First, the mistakes students make when solving the descriptive tests can be divided into six things: error of question understanding, error of concept principle, error of data using, error of solving procedure, error of recording procedure, and solving procedure omissions. Second, students had difficulty with the part of the descriptive test that used logical thinking defined by mathematical terms. Third, errors pattern varied as did students' ability level. For high level students, there were a lot of cases of the solving procedure being correct, but simple calculations were not correct. There were also some mistakes due to some students' lack of concept understanding. For middle level students, they couldn't understand questions well, and they analyzed questions arbitrarily. They also have a tendency to solve questions using a wrong strategy with data that only they can understand. Low level students generally had difficulty understanding questions. Even when they understood questions, they couldn't derive the answers because they have a shortage of related knowledge as well as low enthusiasm on the subject.

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Analysis of Mathematics Textbooks Before and After the Curriculum Revision in 2012 of the North Korea : Focused on the 1st Grade of Middle School (북한의 2012년 교육과정 개정 전후 수학교과서 분석 : 초급중학교 1학년을 중심으로)

  • Jung, Hye Yun;Lee, Kyeong-Hwa
    • School Mathematics
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    • v.18 no.1
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    • pp.143-157
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    • 2016
  • North Korea had been reorganized its educational curriculum and new contexts were authored in 2013. In this study, mathematics contexts of North Korean secondary school's first grade in 2009 and 2013 were investigated. And the changes of content structure, content development, and content composition were analyzed. Results were as follows: First, with respect to the content structure, 1 chapter decreased, while lesson number was intact and 4 subunits increased. Second, with respect to the content development, considerable changes were presented. The tendencies that encouraged student and pursued a student friendly form were investigated. Third, with respect to the content composition, obvious changes were presented. It was investigated that the ratio of numbers and number operations, letters and expressions decreased nearly half. And new contents were supplemented in the areas of patterns, geometry, functions, probability and statics, equation of figures, set and statement. This changes suggests that differences between contexts of South and North Korea is narrowing compared to the past. In conclusion, the direction of North Korean mathematical education is changing for the general direction of South Korean mathematical education.

Problems and Improvements in the Use of Grid Paper in Elementary Mathematics Textbooks (초등 수학 교과서에서 모눈종이 활용에 대한 문제점과 개선방향)

  • Ahn, Byoung Gon
    • Education of Primary School Mathematics
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    • v.22 no.1
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    • pp.13-27
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    • 2019
  • The use of grid paper in elementary mathematics textbooks is used in numbers and calculations, figures and measurement areas. Among them, it is used most in the figure area. In spite of this utilization, it is necessary to supplement it because it is difficult to revise or supplement the trial and error that often occurs in the course of the course, as the process of using the textbook paper in the actual class. The use of grid paper in elementary mathematics textbooks is used in numbers and calculations, figures and measurement areas. Among them, it is used most in the figure area. In spite of this utilization, it is necessary to supplement it because it is difficult to revise or supplement the trial and error that often occurs in the course of the course, as the process of using the textbook paper in the actual class. In this study, we tried to find out the usability of grid paper boards which can be used more effectively than the grid paper among the teaching aids presented in the 'Development of teaching aids standards for math class' of Korea Foundation for the Advancement of Science & Creativity(2017). A questionnaire survey was conducted on the use of grid paper and grid paper board for teachers who actually use grid paper in elementary mathematics. As a result, we found out the achievement criteria of grid paper board utilization and investigated the study subject which is effective to use grid paper board. In particular, we have identified specific learning topics that are effective in each area and presented specific activities.

Exploring the Reliability of an Assessment based on Automatic Item Generation Using the Multivariate Generalizability Theory (다변량일반화가능도 이론을 적용한 자동문항생성 기반 평가에서의 신뢰도 탐색)

  • Jinmin Chung;Sungyeun Kim
    • Journal of Science Education
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    • v.47 no.2
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    • pp.211-224
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    • 2023
  • The purpose of this study is to suggest how to investigate the reliability of the assessment, which consists of items generated by automatic item generation using empirical example data. To achieve this, we analyzed the illustrative assessment data by applying the multivariate generalizability theory, which can reflect the design of responding to different items for each student and multiple error sources in the assessment score. The result of the G-study showed that, in most designs, the student effect corresponding to the true score of the classical test theory was relatively large after residual effects. In addition, in the design where the content domain was fixed, the ranking of students did not change depending on the item types or items. Similarly, in the design where the item format was fixed, the difficulty showed little variation depending on the content domains. The result of the D-study indicated that the original assessment data achieved a sufficient level of reliability. It was also found that higher reliability than the original assessment data could be obtained by reducing the number of items in the content domains of operation, geometry, and probability and statistics, or by assigning higher weights to the domains of letters and formulas, and function. The efficient measurement conditions presented in this study are limited to the illustrative assessment data. However, the method applied in this study can be utilized to determine the reliability and to find efficient measurement conditions for the various assessment situations using automatic item generation based on measurement traits.

An Analysis of the Writing Types Elementary School Students Presented in Mathematics Journal (초등학생의 수학 일기 쓰기 유형 분석)

  • Choi-Koh, Sang Sook;Park, Man Goo;Kim, Jeong Hyeon
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.85-104
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    • 2023
  • The purpose of this study is to analyze the types of mathematics journals of elementary school students and to understand how they change in mathematics journals as the grade goes up, and to obtain implications in mathematics education. To this end, 170 of the 222 parish mathematics data submitted to the "Math Journal Contest" were analyzed with the consent of both minors and their parents. As for the framework for analyzing math journal types, 12 types were derived through independent analysis between three researchers. The research results showed that first, the type of math journal written by elementary school students is a variety of journals, such as observation, problem making, concept organization, and review. In addition, as a learning area, it was found that math journal showed a noticeable increase in experimental observation, problem making, and concept journal as the grades progressed, while a small number of idea journal and explanatory journals appeared. However, game (winning) strategy building and types declined. It can be seen that this is evolving from a type that requires activity-oriented or simple descriptions to a type that actively applies mathematical concepts. As such, there are 12-type of math journals, but it is necessary to actively use the teaching materials in writing that can be freely expressed in the school setting.

An Analysis of Problem Posing in the 5th and 6th Grade Mathematics Textbooks and Errors in Problem Posing of 6th Graders (5, 6학년 수학교재의 문제만들기 내용 및 6학년 학생들의 문제만들기에서의 오류 분석)

  • Kim, Gyeong Tak;Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.2
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    • pp.321-350
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    • 2013
  • The purpose of this study to analysis of problem posing in 5th and 6th grade mathematics textbooks and to comprehend errors in the problem posing activity of 6th graders in elementary school. For solving the research problems, problem posing contents were extracted from mathematics textbooks and practice books for the 5th and 6th grade of elementary school in the 2007 revised national curriculum, and they were analyzed, according to each grade, domain and type. Based on the analysis results, 10 problem posing questions which were extracted and developed, were modified and supplemented through a pre-examination, and a questionnaire that problem posing questions are evenly distributed, according to each grade, domain and type, was produced. This examination was conducted with 129 6th graders, and types of error in problem posing were analyzed using collected data. The implications from the research results are as follows. First, it was found that there was a big numerical difference of problem posing questions in the 5th and 6th grade, and problem posing questions weren't properly suggested in even some domains and types, because the serious concentration in each grade, type and domain. Therefore, textbooks to be developed in the future would need to suggest more various and systematic of problem posing teaching learning activity for each domain and type. Second, the 'error resulting from the lack of information' occurred the most in the problems that 6th graders posed, followed by the 'error in the understanding of problems', 'technical errors', 'logical errors' and 'others'. This implies that a majority of students missed conditions necessary for problem solving, because they have been used to finding answers to given questions only. For such reason, there should be an environment in which students can pose problems by themselves, breaking from the way of learning to only solve given problems.

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A review on teaching contents in area of Korean math textbook for first grade - even and odd number, composition and decomposition of numbers, calculation with carrying or with borrowing - (우리나라 초등학교 1학년 수학 교과서 <수와 연산> 영역의 지도 내용 검토 - 짝수.홀수, 수의 합성.분해, 받아올림.받아내림이 있는 계산 -)

  • Lee, Seung;Choi, Kyoung A;Park, Kyo Sik
    • Journal of the Korean School Mathematics Society
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    • v.18 no.1
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    • pp.1-14
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    • 2015
  • In this paper, in order to improve the teaching contents on even and odd number, composition and decomposition of numbers, and (1 digit)+(1 digit) with carrying, (10 and 1 digit)-(1 digit) with borrowing, the corresponding teaching contents in ${\ll}$Math 1-1${\gg}$, ${\ll}$Math 1-2${\gg}$ are critically reviewed. Implications obtained through this review can be summarized as follows. First, the current incomplete definition of even and odd numbers would need to be reconsidered, and the appropriateness of dealing with even and odd numbers in first grade would need to be reconsidered. Second, it is necessary to deal with composition and decomposition of numbers less than 20. That is, it need to be considered to compose (10 and 1 digit) with 10 and (1 digit) and to decompose (10 and 1 digit) into 10 and (1 digit) on the basis of the 10. And the sequence dealing with composition and decomposition of 10 before dealing with composition and decomposition of (10 and 1 digit) need to be considered. And it need to be considered that composing (10 and 1 digit) with (1 digit) and (1 digit) and decomposing (10 and 1 digit) into (1 digit) and (1 digit) are substantially useless. Third, it is necessary to eliminate the logical leap in the calculation process. That is, it need to be considered to use the composing (10 and 1 digit) with 10 and (1 digit) and decomposing (10 and 1 digit) into 10 and (1 digit) on the basis of the 10 to eliminate the leap which can be seen in the explanation of calculating (1 digit)+(1 digit) with carrying, (10 and 1 digit)-(1 digit) with borrowing. And it need to be considered to deal with the vertical format for calculation of (1 digit)+(1 digit) with carrying and (10 and 1 digit)-(1 digit) with borrowing in ${\ll}$Math 1-2${\gg}$, or it need to be considered not to deal with the vertical format for calculation of (1 digit)+(1 digit) with carrying and (10 and 1 digit)-(1 digit) with borrowing in ${\ll}$Math 1-2 workbook${\gg}$ for the consistency.