• Title/Summary/Keyword: Ability of the mathematics problem-solving

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The empirical study on combining mathematics and statistics into S/W and H/W curriculum (소프트웨어와 하드웨어 교육과정에서 수학/통계를 연계한 실증연구)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.4
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    • pp.629-639
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    • 2010
  • This paper shows that mathematics and statistics are not only a necessity but a strategic element in contributing for the competitiveness of field of S/W and H/W. First, a survey was conducted to investigate the perceived importance of mathematics and statistics to the specialists of the field. Second, computer programming was implemented in university mathematics courses to understand the educational effect related to problem solving ability. Third, a educational case in which mathematics and statistics in S/W and H/W subject were combined was analyzed. Lastly, an effective plan for mathematics and statistics education in the field of S/W and H/W will be presented.

Improvement strategies of teaching methods for university basic mathematics education courses by ability grouping (대학 기초수학 교과목 수준별 학습지도 개선 방안)

  • Park, Joon-Sik;Pyo, Yong-Soo
    • Communications of Mathematical Education
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    • v.27 no.1
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    • pp.19-37
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    • 2013
  • In order to improve the problem-solving abilities and enhance the academic achievement of under achieving students for university basic mathematics, P-university has opened the basic mathematics and practice education courses. These education courses are operated as prerequisite subject of Calculus and we are progressing the class focused on presentation with variety learning materials by organizing level-based classes In this paper, we analyzed the acquired grade and the result of teaching assessment of 1,106 students registered in the 30 classes that the teaching portfolio of the basic mathematics and practice education courses were submitted to support 'Accreditation for Engineering Education of Korea'. In addition, we tried to find attention points and improved solutions on operating the level-based class of the basic mathematics and practice education courses based on the 'Continuous Quality Improvement Report' of teaching portfolio submitted by each professor who is in charge of this class.

Analysis on characteristics of Gifted and Talented Student Through LAT(Learning Ability Test) (학습능력검사를 통한 과학영재교육 대상자의 특성에 관한 분석)

  • Seo, Seong-Won;Kim, Geun-Ho;Kim, Eui-Jeong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2014.05a
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    • pp.108-111
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    • 2014
  • In this paper, we tried to identify implications of selecting gifted of information science & followed educational system via analyzing each of student's characteristics in each subjects they study within Science Education Institute for the Gifted. A study of the existing institutions do not have experience of the gifted students based on assessment through observation of the 1-year science, mathematics and information science education in the List of attribute analysis. Learners of Information Science became with analysis that Attitude Category was superior in mathematics to the subject of science and Problem Solving Category regardless of the subjects showed similar. As to, Attitude Category, Problem Solving Category and Mathematics Cognition Category was analyzed to be closed and we could confirm through the qualitative observation record. On this, the researcher concluded that the mathematics could know the effect fitness by a learner rather than the subject of science as to an attitude and problem resolution area.

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Analysis on Problems of Elementary Mathematics Textbooks - Focused on Addition and Subtraction with Carry on in the Range of Two Digit Numbers - (초등학교 수학 교과서 문제의 정량·정성 분석 - 두 자리 수 범위의 받아올림이 있는 덧셈과 받아내림이 있는 뺄셈을 중심으로 -)

  • Chang, Hyewon;Do, Joowon;Youn, Jeongmin;Lee, Daehyun;Nam, Jihyun
    • Journal of Educational Research in Mathematics
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    • v.27 no.4
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    • pp.747-764
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    • 2017
  • Problems in mathematics textbooks are very important because there is a high reliance on textbooks in elementary school mathematics classes and there is a strong belief that mathematics is to find the solution to problems. Considering this importance, we analyzed problems in elementary mathematics textbooks quantitatively and qualitatively. Concretely, problems of addition and subtraction with carry on in the range of two digit numbers in the mathematics textbooks from the 1st to the 2015 national revised curriculum were analyzed. As a result, the problems in each textbook were found to reveal important features of the textbook reflecting changes in curriculum and educational background. And the problem of textbooks has changed in the direction of enhancing students' reasoning, communication, and problem solving ability. Based on these results, we suggested several implications for dealing with problems in elementary mathematics textbooks.

A case study on the mathematical problem solving performance of simultaneous equations for the students from a remedial course (특별보충과정 학생들의 문제해결수행에 대한 사례연구)

  • Ko, Sang-Sook;Lee, Sang-Hui
    • Journal of the Korean School Mathematics Society
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    • v.9 no.1
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    • pp.105-120
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    • 2006
  • The Seventh Curriculum makes sure that those students who don't have a proper understanding of contents required at a certain stage take a remedial course. But a trend contrary to the intention is formed since there is no systematic education for such a course and thus more students get to fall into the group of low achievement. In particular, solving a simultaneous equation in a rote way without understanding influences negatively students' achievement. Schoenfeld introduced the basic elements of one's own mathematical problem solving process and behavior, referred to Polya's. Employing Schoenfeld's strategy, this study aimed to induce students' active participation in math classes, as well as to focus on a mathematical problem solving process during the study. Two students were selected from a remedial course at 00 Middle School and administered with a qualitative case study method over 17 lessons, each of which lasted for 30 minutes. In the beginning, they used such knowledge as facts and definitions a lot. There was a tendency of their resorting to intuitive knowledge more when they lacked basic knowledge or met with a difficult question. As the lessons were given, however, they improved their ability to implement algorithm procedures and used more familiar ones with the developed common procedures in the area of resources.

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Analysis on Factors and the Application of Mathematical Visualization in Problem Solving Process (문제 해결 과정에서 나타나는 수학적 시각화의 구성 요소 및 활용에 관한 분석)

  • Joo, Hong-Yun;Kwean, Hyuk-Jin
    • School Mathematics
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    • v.14 no.1
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    • pp.1-28
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    • 2012
  • The purpose of the study are to identify factors of mathematical visualization through the thirty students of highschool 2nd year and to investigate how each visualization factor is used in mathematics problem solving process. Specially, this study performed the qualitative case study in terms of the five of thirty students to obtain the high grade in visuality assessment. As a result of the analysis, visualization factors were categorized into mental images, external representation, transformation or operation of images, and spacial visualization abilities. Also, external representation, transformation or operation of images, and spacial visualization abilities were subdivided more specifically.

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A Study of Gender Differences in Mathematical Creativity (수학적 창의력에서의 성별 차이에 관한 연구 - 다답형 문항에 대한 반응을 중심으로 -)

  • Kwon, Oh-Nam;Song, Sang-Hun;Park, Kyung-Mee;Im, Hyung;Huh, Ra-Keum
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.723-743
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    • 1998
  • This study was designed for the purpose of finding some gender differences in the mathematical creative problem-solving ability. For this research, we selected two problems. One is "counting marbles" of algebra, and the other is "drawing figures" of geometry. And we examined and analyzed the written responses of the students with classifying the four categories; fluency, flexibility, originality, and elaboration. These are the factors of the creativity. There were no significant gender differences in the fluency, flexibility, and originality in both problems. but girls got significantly higher scores than boys in elaboration. In conclusion, boys tried unusual and special responses but gave many incorrect and many similiar answers, whereas girls had low scores in high originality but gave less incorrect and less overlapping answers than boys did.swers than boys did.

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A Comparative Study on the Elementary School Mathematics Curricula of Korea and Japan - Focused on the Revised Curricula - (한.일 초등학교 수학과 교육과정 비교 연구 - 개정 교육과정을 중심으로 -)

  • Lim, Hyun-Soo;Kang, Hong-Jae
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.337-353
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    • 2010
  • The purpose of this study is to provide a useful reference for the elementary school mathematics curriculum of Japan. For this research, we compare the new version of the elementary school mathematics curriculum of Japan and Korea. Roughly speaking, Japan emphasized learning through mathematical ability. On the other hand, the case of Korea, a special emphasis was placed on the ability of problem-solving and mathematical communication. These abilities developed on the base of the mathematical knowledge and skill. The ratio of teaching time are high on mathematics, but Japan ensures much more hours than Korea. Finally we will focus on the result for the application process of the primary school mathematics curriculum.

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Activities and Programs to Cultivate Mathematical Interest and Ability

  • Gardiner, Tony
    • Research in Mathematical Education
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    • v.12 no.4
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    • pp.293-299
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    • 2008
  • Young children have manifold potentialities. As any teacher or parent knows, a child's most obvious strengths contribute to their development in unexpected ways. A sporting or musical forte may provide an invaluable youthful opportunity to experience "the pursuit of excellence," but may then be laid aside. It is exceedingly rare for a strength which informed observers might "identify" at school level to develop in a predictable way. Most strengths blossom and are then laid aside, whilst some evolve sideways (for example, when the inner muse shies away from the required level of commitment, or takes fright at the miniscule prospects of success in the given field). In their place other strengths-which one may have noticed, but which were never "diagnosed" in the same way-take over and flourish.

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An Analysis of the Effect of Peer-to-peer Relay Feedback Strategy on Achievement and Communication ability in Mathematics (동료 릴레이 피드백 전략이 수학과 학업성취도와 수학적 의사소통능력에 미치는 영향)

  • Lee, Young Soon;Lee, Sang Soo
    • The Mathematical Education
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    • v.55 no.4
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    • pp.503-522
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    • 2016
  • The purpose of this study is to investigate the effects of peer-to-peer relay feedback strategy on achievement in mathematical problem solving and mathematical communication ability. The experimental instruction was given to 99 students. They were divided into two groups. In this research a strategy of peer-to-peer relay feedback is developed. To enhance lateral communication, students were instructed according to the strategy to read open-type problems, to write mathematical ideas individually and to share their ideas and get feedback in relay method with peers within a small subgroup. The results are as follows. 1) Mathematics achievement assessments were carried six times in the cleanup phases of the class. There was no difference at the 1st test. 2) The second t-test of mathematical communication abilities showed that there was meaningful difference and that peer-to-peer relay feedback was effective. But there was no difference on reading. 3) Peer-to-peer relay feedback strategy has a positive impact.