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The Effects of Development and Application of Problem Posing Program on Mathematics Learning Achievements, Attitude and Interest (문제 만들기 프로그램 개발${\cdot}$적용이 수학 학업 성취도 및 태도${\cdot}$흥미도에 미치는 영향)

  • Song, Min-Jeong;Park, Jong-seo
    • Journal of Elementary Mathematics Education in Korea
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    • v.9 no.1
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    • pp.1-18
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    • 2005
  • The purpose of this study is to plan and apply the problem posing program to each unit of elementary mathematics 5-Ga stage, and to make an analysis of their effects on mathematics learning achievements, attitude and interesting. In order to achieve these purposes, the following research problems were set up for the present study: First, we design problem posing program which can be applied to the actual instruction with analyzing the curriculum of mathematics on 5-Ga stage in the seventh national curriculum. Second, we analyze the effect of applying problem posing program on students' mathematics learning achievements. Third, we analyze the effect of applying problem posing program on students' mathematical attitude and interest. The results of this study are as follows: First, the problem posing program developed in this study was more affirmative effects for improving the students' mathematics learning achievements. Second, the problem posing program also had affirmative effects on students' attitude and interest on mathematics. Third, after applying the problem posing program turned out to have a statistical significant correlation between mathematics learning achievements and attitude, and mathematics learning achievements and interest.

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A Longitudinal Study on the Effect of Participation in Private Education on Mathematics Achievement : For Elementary and Junior High School Students (사교육 참여가 수학 학업성취도에 미치는 영향에 대한 종단연구 : 초·중학생을 대상으로)

  • Kim, YongSeok
    • Education of Primary School Mathematics
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    • v.23 no.4
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    • pp.207-227
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    • 2020
  • The demand for private education in Korea is steadily increasing every year, and the participation rate of private education is increasing as the grade goes down. In order to empirically verify the effectiveness of private education, it is necessary to analyze through longitudinal data that has been mainly investigated over a long period of time. This study investigated the longitudinal changes in mathematics academic achievement and participation time in mathematics private education using longitudinal data from 2013 (4th grade in elementary school) to 2017 (2nd grade in middle school) of the Seoul Education Longitudinal Study. The students were divided into groups in which mathematics academic achievement changed similarly as the grade went up, and the effect of mathematics academic achievement was examined according to the change of participation time in private mathematics education for each group. As a result of the study, it was found that the participation time of private math education of all students continuously increased from the 5th grade of elementary school to the 2nd grade of middle school, and the participation time of private math education by group was different. In addition, the effect of private tutoring by group was different according to the group.

A Study on Elementary Pre-service Teacher's Understanding about 'Estimation' (초등예비교사의 '어림하기' 이해에 대한 고찰)

  • Kim, Sung Joon
    • East Asian mathematical journal
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    • v.33 no.2
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    • pp.177-197
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    • 2017
  • The purpose of this study is to investigate and analyze the understandings of elementary pre-service teachers about 'estimation' in the elementary mathematics. Together with this analysis, we identify elementary pre-service teacher's Mathematical Pedagogical Contents Knowledge(MPCK), especially focusing to Subject Matter Knowledge(SMK). In order to this goals, we investigate contents relating to 'estimation' from $1^{st}$ curriculum to 2009 revised curriculum and compare 'rounding up', 'rounding off', 'rounding' in the elementary mathematics textbooks. As results of investigations, 'estimation' has been teaching at the 'Measurement' domain from $3^{rd}$ curriculum, but contexts of measuring weaken from $7^{th}$ curriculum. 'Rounding up(off)' is defined three types in the textbooks from $1^{st}$ to 2009 revised curriculum. And we examine elementary pre-service teachers through the questions on these 'estimation' contents. On the analysis of pre-service teacher's understanding relating MPCK, four themes is summarized as followings; the understanding of '0' in the 'rounding up', the cognitive gap between 'rounding up' and 'rounding off', the difference of percentage of correct answers according to types of question in the 'rounding up', and the difference between the definition of 'rounding up' and the definition of 'rounding'.

A Study on How to Use Calculators in Elementary Mathematics Education in Korea (우리나라 초등학교 수학교육에 적용 가능한 계산기 활용 방안 연구)

  • 박교식
    • Journal of Educational Research in Mathematics
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    • v.8 no.1
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    • pp.237-249
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    • 1998
  • Calculators can be instructional instruments to be used specially in problem situations which need calculations through calculators. A calculator-calculations is one of the various calculation methods. As there are problem situations for each method, there are problem situations for a calculator-calculation, too. Basically, calculator-calculations can be admitted in any cases which need not paper-and-pencil calculations, estimations, mental calculations, and computer-calculations. In this paper, some basic knowledges on how to use calculators in elementary mathematics education are offered. Students learn concepts easier by doing complex and tedious calculations through calculators than through paper-and-pencil calculations. And, by doing complex and tedious calculations in problem solving, they can focus on understanding problems, planning, and looking back. Calculator can be used directly in phases of understanding and planning. Calculators can be used to practice guess and check strategies. Problems which contain calculations beyond students' paper-and-pencil calculations abilities. So, as a result, students' experiences on problem solving can be extended. Calculators experiences can affect students' persistences, confidences, enthusiasms, self-esteems positively.

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Evaluating Achievement in Mathematics

  • Ediger, Marlow
    • The Mathematical Education
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    • v.23 no.2
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    • pp.5-11
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    • 1985
  • There arc numerous techniques available to appraise pupil achievement in elementary school mathematics. The teacher must utilize a variety of approaches to assess pupil growth in the mathematics curriculum. Each evaluation technique has its strengths as well as weaknesses. Thus, a specific evaluation technique may be utilized as a check on other approaches to appraisal. Pupil achievement must be assessed in terms of stated relevant understandings. skills, and attitudinal objectives. It is not adequate to appraise pupil growth in terms of understandings objectives only. Pupils must also be assessed in terms of skills objectives. The understandings acquired by learners must be utilized; thus, skills objectives need to be stressed adequately in ongoing units of study in elementary school mathematics. Adequate emphasis also needs to be placed upon pupils achieving attitudinal goals. Desireable attitudes on the part of learners aid in achieving understandings and skills objectives. A defensible program of evaluation would then stress that pupil achievement be adequately appraised in terms of understandings, skills, and attitudinal objectives.

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An Analysis of Mobile Virtual Manipulatives Apps for the Teaching of Elementary School Mathematics (초등학교 수학의 교수를 위한 모바일 가상조작물 앱 분석)

  • Shin, Mikyung
    • Journal of Korea Multimedia Society
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    • v.20 no.6
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    • pp.935-949
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    • 2017
  • The purpose of this study was to analyze the characteristics of virtual manipulatives apps that can be used to teach students struggling to learn mathematics. To achieve this goal, ten general characteristics of 23 virtual manipulatives apps were evaluated. The instructional, interface, and interactive design features of apps were also evaluated on five-point scale ratings of 18 items. In addition, SPSS frequency analysis and the correlation between each feature was analyzed. Frequently presented instructional contents among 23 virtual manipulatives apps were geometry, arithmetic operation, number concept and measurement. The frequently presented level of instructional contents was lower grade elementary school and kindergarten age. The frequently presented instructional type was the simulation. Regarding the design features, instructional design was rated as the highest (mean = 3.7); interactive design (mean = 3.6) and interface design (mean = 3.3) were also rated higher than neural. In addition, as the learning strategy was appropriately presented, it was evaluated that there was less screen linkage and content error.

A Comparison of the Textbooks for Elementary Mathematics Between Korea and U.S.A about Congruence of Figures (우리나라 초등 수학 교과서와 미국 EM 교과서 비교 - 도형의 합동을 중심으로 -)

  • Son, Min-Gyeong;Ryu, Heuisu
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.3
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    • pp.539-555
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    • 2014
  • In this study, an implication has been drawn for the textbook development and teaching and learning process as a congruence of a figure is compared and analyzed between Korean elementary mathematics textbooks and American elementary math textbooks. Based on the result of comparison and analysis in congruence contents between Korean and EM textbooks, some applications for the development of figure and congruence chapters in Korean textbooks are as below. First of all, in term of congruence, activities related to congruence need to be introduced after the concept of congruence is defined either with illustrations of fundamental figures such as a segment and angle or with examples of polygon. Second, it is required to assist students to realize that compasses can be used to copy length. In Korean textbooks, compasses are being introduced as a tool to draw circles, which causes children to have difficulty in drawing triangles. Last, for the implication of congruence, tessellation suggested in American Everyday Mathematics textbooks is worth being applied to the development of Korean textbooks.

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수학사를 활용한 수학수업이 수학과 학습 태도에 미치는 영향

  • Yoo, Kum-Soon;Nam, Young-Man
    • East Asian mathematical journal
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    • v.28 no.4
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    • pp.383-401
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    • 2012
  • The purpose of mathematics education includes two important areas; cognitive area that emphasizes mathematical knowledge and understanding and affective area that stresses mathematical interest and attitude. The purpose of mathematics education is not only in acquiring the contents and knowledge but also rousing up interest and attention toward mathematics. Therefore, effort to accomplish this affective purpose has to be made. Introducing history of mathematics to teaching can be a important method for the students to arouse interest and attention toward mathematics. History of mathematics can help the students who are familiar to only manipulation of the symbols to develop a new way of thinking and mathematical thoughts arousing reflective thinking. According to the survey, although the effect of using mathematics history has been recognized, the mathematics history has neither been developed as teaching materials nor reflected in the courses of study. The purpose of this research is to develop the reading materials into suit for the mathematics curriculum to extract contents of the mathematics valuable in using in elementary mathematics teaching, and to investigate the effect of reading materials using the history of mathematics on learning attitude in elementary school. The way of developing materials in this study is as follows. First, to select the interesting and instructive subject for the elementary students such as the story and life of a mathematician, developmental stages of mathematical theory and calculation currently used and finding the patterns of the rules that requires mathematical thoughts. Second, to classify the selected items according to mathematics curriculum. Third, to reorganize the classified items of the appropriate grade with the reading materials of dialogue pattern in order to draw attention and interest from the students I developed 18 kinds materials in accordance with the above procedure and applied 5 materials among them to one class in 4th grade. Analysing the student's responses, First, using history of mathematics helps the students to arouse interest and confidence on mathematical learning attitude. And the students became better attitude of studying by oneself and attention on class. Second, as know by opinions after lesson, most students have a chance refresh one's thinking of mathematics, want to know the other content of history of mathematics and responded to study hard in mathematics. As a result, the reading materials on the basis of the history of mathematics motivates students for mathematics and helps them become confident in mathematics. If the materials are complemented properly, they will be useful and effective for students and teachers.

Elementary Teachers' Use of Mathematical Textbooks in Korea

  • Lee, Kwang-Ho;Ha, Su-Hyun
    • Research in Mathematical Education
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    • v.15 no.3
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    • pp.261-294
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    • 2011
  • The purpose of this research is to analyze Korean teacher textbook use and explore the effective use of textbooks. The researcher surveyed teachers to obtain information relative to their dispositions and views of textbook use, and a subset interviewed to obtain additional insight about these views. For the sample, 278 elementary school teachers were surveyed and a group interview was conducted with 6 teachers. The results showed that many teachers teach all the students simply by following the textbook content. These results suggest that for effective us of textbooks, teachers need to understand how to reconstruct the textbook within an understanding of the textbook authors' intension for the textbook content.

Elementary School Students' Mathematical Metaphors for Line Segments, Straight Lines, and Rays

  • Sangmee Kim
    • Research in Mathematical Education
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    • v.26 no.4
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    • pp.271-289
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    • 2023
  • This research investigates the development of elementary students' concepts of line segments, straight lines, and rays, employing metaphor analysis as a research methodology. By analyzing metaphorical expressions, the research aims to explore how elementary students form these geometric concepts line segments, straight lines, and lays and evolve their understanding of them across different grades. Surveys were conducted with elementary school students in grades three to six, focusing on metaphorical expressions and corresponding their reasons associated with line segments, straight lines, and rays. The data were analyzed through coding and categorization to identify the types in students' metaphorical expressions. The analysis of metaphorical expressions identified five types: straightness, infinity or direction, connections of another geometric concepts, shape and symbols, and terminology.