• Title/Summary/Keyword: Mathematics education improvement

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A Study on the 7th National Curriculum Implementation at the Secondary School Level (제7차 수학과 교육과정 개발 과정 및 내용에 관한 분석 연구 -시${\cdot}$도 및 중등 단위학교를 중심으로-)

  • Cboe Seung-Hyun;Hwang Hye Jeang
    • The Mathematical Education
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    • v.44 no.4 s.111
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    • pp.477-496
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    • 2005
  • This study looked into the procedures of and the status on the implementation of the new 7th national curriculum at the secondary school level. It examined the processes taken by the local boards of education in due course of facilitating the schools with the new curriculum implementation. More specifically the study examined, 1) the degree to which the particular innovation(i.e., student-centered, flexible and autonomous school-based curriculum, etc.) is being implemented as planned; and 2) how it is being implemented. It conducted a situation-oriented analysis in cooperation with three local boards of education. Classroom observations, teacher interviews, questionnaires for teachers and supervisors were utilized and the three major criteria of interpreting the result were the three core concepts of the 7th national curriculum, that is, the degree of '(1)reorganization, (2)student-centeredness and (3)diversification/ specialization' of the curriculum. Detailed documentation on the processes of the local bureaus of education and on the classroom practices are made in order to provide schools and policy makers with relevant and practical suggestions for further improvement of curriculum implementation. Ultimately, The greater the awareness of the intention of the new curriculum on the part of both the staff at the local school boards and teachers, the greater the degree of implementation. And the higher the quality of planning to meet problems, the greater the degree of implementation. Continuous efforts are needed to involve teachers in the process of curriculum implementation. The greater the active support of the teachers, the greater the degree of implementation.

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An Improvement of Mathematics Course Using MathML in ICT Environment (MathML을 이용한 수학교과 ICT활용 교육 개선방안)

  • Hong, Eun-Pyo;Lee, Su-Hyun
    • Journal of The Korean Association of Information Education
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    • v.7 no.1
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    • pp.11-26
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    • 2003
  • Although many mathematical teaching/learning materials are already developed in the web, diverse utilization of this materials such as calculation, searching, or reusing of expressions are limited since the expression is actually a figure. To cope with this, MathML which describing mathematical notation was developed. In the paper, we proposed the methods of developing teaching materials using MathML, making learning assistance tools which utilize MathML, and applying MathML to information exchange community for Mathematics courses in ICT environment. Using MathML to develop a teaching material makes easy to correct and reuse the mathematical notations conveniently. Furthermore, learning assistance tools made by placing MathML help teachers reorganize and utilize these materials in the classroom as well as enhancing the connection between mathematical notations and concepts. The web-board that can make a use the mathematical notations using MathML enables the teachers and students to exchange information actively. It also helps to fulfill different types of teaching using ICT such as "discussion on the web".

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Covariational Reasoning of Ninth Graders in Reciprocal Peer Tutoring Process (상호또래교수과정에서 나타나는 중학교 3학년 학생들의 공변 추론)

  • Gil, Seung Ho;Shin, Jaehong
    • Journal of the Korean School Mathematics Society
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    • v.23 no.3
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    • pp.323-349
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    • 2020
  • In this study, we conducted eight reciprocal peer tutoring classes where each student took either role of a tutor or a tutee to study covariational reasoning in ninth graders. Students were given the opportunity to teach their peers with their covariational reasoning as tutors, and at the same time to learn covariational reasoning as tutees. A heterogeneous group was formed so that scaffolding could be provided in the teaching and learning process. A total of eight reciprocal peer tutoring worksheets were collected: four quantitative graph type questions and four questions of the qualitative graph to the group. The results of the analysis are as follows. In reciprocal peer tutoring, students who experienced a higher level of covariational reasoning than their covariational reasoning level showed an improvement in covariational reasoning levels. In addition, students enhanced the completeness of reasoning by modifying or supplementing their own covariational reasoning. Minimal teacher intervention or high-level peer mediation seems to be needed for providing feedback on problem-solving results.

A Study on the Proportional Reasoning Instruction for Elementary School Children (초등학생의 비례적 추론 지도에 관한 연구)

  • Kim, Kyoung-Seon;Park, Young-Hee
    • School Mathematics
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    • v.9 no.4
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    • pp.447-466
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    • 2007
  • Math education in schools have to enable students to understand the importance of math and nurture the capacity to resolve various problems in daily life with reasoning, which is therefore, always applicable to the actual world. Proportional reasoning capacity is being often used in daily life, and some kind of unit is not fixed. So students are considering it very difficult. This study looks into the difficulties that students have in proportional reasoning, what kind of problem solving strategy is being used, what the problems are in current textbooks, etc. Based on this, it tried to check the concept changes in students' proportional reasoning by developing the instruction program for 'proportional expression' unit in the 6th grade. Based on the results, this study analyzes the features of proportional reasoning instruction programs and the instruction results. Also it analyzes in-advance & after examination papers of the experimental class and comparison class to contribute to the instruction method and instruction contents improvement of 'proportional expression' unit.

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The Effect of the Estimation Strategy on Placing Decimal Point in Multiplication and Division of Decimals (어림하기를 통한 소수점 찍기가 소수의 곱셈과 나눗셈에 미치는 효과)

  • Lee, Youn-Mee;Park, Sung-Sun
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.1-18
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    • 2011
  • The purpose of this study was to investigate the effects of estimation strategy on placing decimal point in multiplication and division of decimals. To examine the effects of improving calculation ability and reducing decimal point errors with this estimation strategy, the experimental research on operation with decimal was conducted. The operation group conducted the decimal point estimation strategy for operating decimal fractions, whereas the control group used the traditional method with the same test paper. The results obtained in this research are as follows; First, the estimation strategy with understanding a basic meaning of decimals was much more effective in calculation improvement than the algorithm study with repeated calculations. Second, the mathematical problem solving ability - including the whole procedure for solving the mathematical question - had no effects since the decimal point estimation strategy is normally performed after finishing problem solving strategy. Third, the estimation strategy showed positive effects on the calculation ability. Th Memorizing algorithm doesn't last long to the students, but the estimation strategy based on the concept and the position of decimal fraction affects continually to the students. Finally, the estimation strategy assisted the students in understanding the connection of the position of decimal points in the product with that in the multiplicand or the multiplier. Moreover, this strategy suggested to the students that there was relation between the placing decimal point of the quotient and that of the dividend.

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The Transition of Error Patterns and Error Rates in Elementary Students' Arithmetic Performance by Going Up Grades and Its Instructional Implication (학년 상승에 따른 초등학생들의 자연수 사칙계산 오답유형 및 오답률 추이와 그에 따른 교수학적 시사점)

  • Kim, Soo-Mi
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.1
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    • pp.125-143
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    • 2012
  • This study is designed to see the characteristics of elementary students' arithmetic error patterns and error rates by going up grades and to draw some implications for effective instruction. For this, 580 elementary students of grade 3-6 are tested with the same subtraction, multiplication and division problems. Their errors are analyzed by the frame of arithmetic error types this study sets. As a result of analysis, it turns out that the children's performance in arithmetic get well as their grades go up and the first learning year of any kind of arithmetic procedures has the largest improvement in arithmetic performance. It is concluded that some arithmetic errors need teachers' caution, but we fortunately find that children's errors are not so seriously systematic and sticky that they can be easily corrected by proper intervention. Finally, several instructional strategies for arithmetic procedures are suggested.

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The Effects on Problem Solving of Linear Function Using Excel (엑셀의 활용이 일차함수 문제해결에 미치는 효과)

  • Lee, Kwang-Sang;Cho, Min-Shik;Lew, Hee-Chan
    • School Mathematics
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    • v.8 no.3
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    • pp.265-290
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    • 2006
  • The purpose of this study is to search an effective teaching & learning program by examining how much does Excel affect on problem solving of linear function. This study was based on qualitative case study. Teaching experiment was performed for seven periods with five students in 8th graders. Pre and posts tests were attempted to analyze the changes of student's ability on problem solving of linear function. The analysis of tests were performed in category with correct process-object perspective, near process-object perspective, incorrect process-object perspective. According to this study, the subjects showed an improvement on problem solving perspective of linear function. This meant that lessons using Excel had influenced on the problem solving of linear function. We noticed that exploring the learning environment with Excel could supplement paper-and-pencil environment. We believed that Excel with an intuitive dynamic and explorative skills can play a role in scaffolding to support problem solving of linear function.

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A Study on Connections about Addition Principle (덧셈 계산 원리의 연결성에 관한 연구)

  • Roh, Eun Hwan;Kim, Seon Yu;Kim, Jung Hoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.331-368
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    • 2018
  • This study is derived from a student who can add without knowing the addition principle. To understand where the student's response come from, we came to analyse the curriculum contents of natural numbers, decimals and fractions addition principle. At the same time, we surveyed two different school of forty six sixth grade participants with questionnaires to determine whether it is a problem of the student or an universal one. As a result, we found that there is a room for improvement in the addition and connections of addition. We propose appropriate instructional method regarding connections of addition and addition principle of natural numbers, decimals and fractions. The conclude there is a close relation and differences among the principles of natural numbers, decimals and fractions in the proposed instructional method. Therefore, we need to consider and instruct the differences of the number expansion.

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The Study of Teaching Multiplication (곱셈 지도에 관한 고찰)

  • Kang, Monbong;Kim, Jeongha
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.369-384
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    • 2018
  • Multiplication is able to be described by using repeated addition, a Cartesian product, a scalar operation, rectangular array and area in many various context. Multiplication in various problem situations is learned by various of the teaching method and the order of teaching more than any other mathematical concepts and operations in elementary school. Nevertheless, the context of multiplication leaves further room for improvement. The purpose of this study is to examine the similarities and differences between the conceptual aspects of multiplication through the literature and to analyze the appropriateness of the teaching method and the order of teaching through textbook analysis. As a result of the study, it was found that multiplication of a scalar operation was introduced too early and did not properly reflect of meaning of multiplication as a scalar operation. There is also a need to use the concept of the rectangular array or area as a meaning of multiplication two quantities.

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The Effects of Leadership Education Program on Leadership Skills of the Primary Gifted Students (초등 영재 리더십 교육 프로그램이 리더십 기술 향상에 미치는 효과)

  • Yang, Kyu-Mo;Kim, Jung-Sub
    • Journal of Gifted/Talented Education
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    • v.20 no.3
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    • pp.743-765
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    • 2010
  • The purpose of this study was to provide and analyze the fundamental data on leadership skills and to analyze leadership skills among giftd elementary students according to grade, subject and gender. The main research questions in order to achieve the purpose of research are as follow. First, are there any differences of gifted elementary students' leadership skills in gifted groups? Second, do leadership program have an effect on improvement of gifted elementary students' leadership skills? The subjects for this study were 488 gifted elementary in 4th-6th grade in Busan. The students in the experiential group went thought 16 session do leadership program. After that, they had pre-tests and post-tests. the devices used to verify the effectiveness of the program were leadership skill scales. For this research analysis, MANOVA was used to investigate the first research questions and MANCOVA was used to investigate the second research question. Results from this study are as follows. Firstly, students in higher grades received fewer leadership skills points. This fact suggests that the leadership programs from the fourth grade should be implemented in 5th and 6th grade gifted education as well. Secondly, in the analysis of the results from gifted mathematics and gifted science, little significant statistical difference was shown. Thirdly, the analysis of leadership skills according to gender showed statistical significance. Finally, the study showed that the leadership education program had a positive effect. So the gifted 4th, 5th, and 6th grade students improve their leadership skills points by the end of the 16 week programs. Consequently, it is suggested that leadership education program on gifted elementary education was significant to improvement of leadership skills.