• Title/Summary/Keyword: 수학과 학습태도

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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.

The Relationships between Mathematically Gifted Students and Regular Students in Perfectionism and the Affective Traits (중등 영재학생과 일반학생의 완벽주의 성향과 수학교과에 대한 정의적 특성과의 관계)

  • Whang, Woo-Hyung;Lee, Yu-Na
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.1-38
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    • 2009
  • This study investigates the relationships of perfectionism and the affective traits(academic self-concept, learning attitude, interest, mathematical anxiety, learning habits) in mathematics between the gifted students and the regular students in Korean Middle Schools. The findings of this study can be used for the understanding of the gifted students, and as data or resources for counsellors when they advise the gifted students on enhancing study strategies and developing future courses. This study was investigated by measuring the relationships between perfectionism and the affective traits on mathematics between two groups. Here, the correlation analysis, t-test, and regression analysis of the SPSS for Window 12.0 Program were applied to measure the differences of both groups. Therefore, there were no differences in perfectionism between the gifted students and the regular students. But the self-oriented perfectionism of the gifted students appeared higher compare with regular students. The affective traits in mathematics of the gifted students appeared more positive compare with regular students. There were a few correlations between the perfectionism and the affective traits in mathematics at two group all. however the self-oriented perfectionism and the affective traits in mathematics showed to correlation. There were several suggestions based on the results of this study. First, the results showed that professional assistance is needed for the gifted students so that their perfectionism flows positively into developing their gifts. Secondly, the results suggested that specialized mathematical program reflecting on the affective traits of the gifted students in mathematics should be offered.Lastly, tthe results of this study suggested a researcher regarding relevance with perfectionism and affective traits regarding subject shall be performed more. The result of research shall be included to contents of training for the gifted students and their parents.

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Domain Thoughts in Gifted Students and Gifted Students with Learning Disabilities (영재와 학습장애영재의 영역적 사고)

  • Song, Kwang Han
    • Journal of Gifted/Talented Education
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    • v.24 no.5
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    • pp.851-876
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    • 2014
  • As an empirical test of a model of giftedness with learning disabilities (Song & Porath, 2011), this paper investigated domain thoughts of gifted students without learning disabilities and gifted students with learning disabilities (GLD) in reading, writing, and math. Gifted students in each group were interviewed and the data were analyzed for domain thoughts. The results showed that the former group of gifted students exhibited domain thoughts in a more balanced manner, whereas GLD students showed large discrepancies between domain thoughts; they showed weak specific domain thoughts in contrast to strong other domain thoughts. They also showed ambivalent attitudes even in a domain activity; they presented positive and negative thoughts at the same time. With a comprehensive explanation of the differences between the two groups of gifted students through a cognitive mechanism presented in the model of GLD model, this paper provides new approaches for identification and education of gifted students and GLD students.

An Analysis of Mathematical Processes in Elementary Mathematics Curricula of Korea, China, Japan, and the US (한국, 중국, 일본, 미국 초등 수학과 교육과정에서 강조하는 수학적 과정 요소에 대한 분석)

  • Pang, JeongSuk;Lee, JiYoung;Lee, SangMi;Park, YoungEun;Kim, SuKyong;Choi, InYoung;SunWoo, Jin
    • School Mathematics
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    • v.17 no.2
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    • pp.289-308
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    • 2015
  • This study analyzed mathematical processes elaborated in the mathematics curricula of Korea, China, Japan, and the US. Ten mathematical processes were extracted: (a) learning of concepts, principles, laws, and skills; (b) problem solving; (c) reasoning; (d) communication; (e) representation; (f) connections; (g) creativity; (h) character-building; (i) self-directed learning; and (j) positive attitude toward mathematics. This study specified the meaning of such processes and their sub-domains, noticing similarities and differences among the curricula. On the basis of the results, this study includes suggestions for the development of next mathematics curriculum in Korea.

A Design and Implementation of Instruction System for Underachievers′ Number-Concept Learning (수학 학습부진아의 수 개념 형성을 위한 학습시스템 설계 및 구현)

  • 김영태;이재무
    • Journal of the Korea Computer Industry Society
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    • v.3 no.1
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    • pp.45-56
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    • 2002
  • The object of our research is to design and to embody the learning system of numerical concept for the mathematic loaming disabilities. The existing system for the learning disabilities was a simple repeating practice system, repeating the same learning contents to obtain the skill, ignoring the learner's disability situation. This bears a problem that the interest and motivation in the learning media will reduce as the learning goes on. This loaming system offers the learning process of numerical concept by showing an animation file of a real life and offering a concrete mouse manipulating practice environment, so as to maintain the motivation of the learner, giving an instant compensation and feedback. If this system are used in directing the learning disabilities, it will help them to stay motivated and to create a positive teaming attitude by a variety level learning system, supporting suitable speed and learning contents for the learning disabilities individuals.

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The Effects of Learning by Questions on the Achievement Ability of Mathematics Study and Learning Attitude - Focused on the Chapter ″Equation of Figure″ of the First Grade in High School - (발문학습이 수학과 학업성취도 및 학습태도에 미치는 영향 - 고등학교 1학년 ″도형의 방정식″ 단원을 중심으로 -)

  • 민경선
    • Journal of the Korean School Mathematics Society
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    • v.3 no.1
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    • pp.117-129
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    • 2000
  • The purpose of this research consists in understanding how the effects of Teaching Method by Questions on the achievement ability of math study and learning attitude are in the aspect of teaching and learning procedure, compared with those of the traditional teaching way. To attain the purpose, the research questions have been set up as follows: [Research Question 1] How to make a teaching plan of effective Learning by Questions\ulcorner [Research Question 2] Can Learning by Questions bring about a meaningful difference between two groups (experimental group and comparative group) in the aspect of the achievement ability of math study\ulcorner [Research Question 3] Can Learning by Questions change the Learning attitude of the students positively\ulcorner The outcome is as follows: First, it shows that the experimental group with Learning by Questions have marked more significant difference than the comparative group in the aspect of the achievement ability of math study. That is, Learning by Questions has a positive effect on the achievement ability of math study. Second, the experimental group with Learning by Questions have brought about more positive learning attitude than the comparative group without Learning by Questions.

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Analysis of Affective Factors on Mathematics Learning According to the Results of PISA2003 (PISA 2003 결과에서 수학의 정의적 영역에 영향을 주는 변인 분석)

  • Lee, Chong-Hee;Kim, Soo-Jin
    • School Mathematics
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    • v.12 no.2
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    • pp.219-237
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    • 2010
  • On inquiry of international comparison assessment, the Korean students achieve high scores in mathematics while they achieve relatively low scores in responses of the affective questionnaire. It can be an important point in mathematics education of Korea, but there are few studies which explore the specific reasons. So in this study, we analysed the results of PISA 2003(in math domain) based on multiple regression analysis and correlation analysis to investigate the reasons and features of those phenomena. We compared the results of Korean students with students of other countries. As a result, there were 7 factors which effect on Korean students' affective domain in mathematics learning and they were statistically significant. According to this study, it needs to improve students' positive attitudes to their school, mathematical interest, and positive self-concept. And it needs to develop an actual instrument to explore the affective domain which effect on mathematics learning.

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An overview on humanistic imagination in mathematics education (수학교육에서 인문학적 상상력에 대한 소고)

  • Park, Mangoo
    • The Mathematical Education
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    • v.59 no.2
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    • pp.185-199
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    • 2020
  • The purpose of this study is to discuss what the incorporation of humanistic imagination into mathematics means to mathematics education and to suggest implications for mathematics education in school mathematics. Traditionally, mathematics has been perceived to be far from our life problems because it targets logical and pure abstract thinking. According to international mathematics and science studies such as TIMSS and PISA, Korean students have relatively high mathematics achievement in the international research, but their attitude toward mathematics is very negative and their awareness of why they are learning mathematics and their satisfaction with life is low. In mathematics education, linking mathematics with humanities imagination allows students to view problems of human life from a humanities perspective, and to have an understanding of others and reflect on themselves from a new perspective. The researcher introduces several examples of whether mathematics and humanistic imagination can be combined for mathematics education. In this study, the ultimate reason for learning mathematics is to achieve learners to realize the principles of life or Dharma, and to live a happier life. However, in order to expand its rich meaning by making these new attempts in mathematics education, the researcher argued that tolerance and patience are needed for many challenges and difficulties in improving the quality of mathematics content itself including applying humanistic imagination to mathematics properly.

수학적 창의성 신장을 위한 교사의 발문 특성 연구

  • Han, Jeong-Min;Park, Man-Gu
    • Proceedings of the Korea Society of Elementary Mathematics Education
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    • 2010.08a
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    • pp.219-235
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    • 2010
  • 학습자들이 미래 사회에 능동적으로 대처하기 위해서는 기존의 지식을 축적, 활용하는 것뿐만 아니라, 새로운 행동 양식을 개발하고 환경의 변화에 적절히 대응해 나갈 수 있는 능동적인 자세와 상응하는 창의적인 힘을 키우기 위해 '창의성 신장'이 강조되고 있다. 선행연구에 따르면 교사의 발문이 학생의 수학 학업성취도, 수학적 사고력향상, 수학에 대한 관심과 흥미에 긍정적인 영향을 주고 있음을 시사하고 있지만, 수학교육에서 창의성 신장을 위한 교사의 발문에 관련한 구체적인 연구는 미흡한 실정이다. 따라서 2007 개정 교육과정에서 강조하는 수학적 의사소통능력과 창의성, 수학적 사고력 신장에 기여하고 학생들의 수학과 학업성취도 뿐만 아니라 정의적 영역(흥미, 태도, 호기심 등)의 향상을 도모할 수 있는 교사 발문의 특성 연구가 필요하다. 본 연구는 도형영역 수업에서 교사의 발문 특성을 분석하고, 수업에서 사용되는 자료와 수업에서 학생들의 수학적 창의성 신장을 효과적으로 도울 수 있는 교사 발문의 특성을 연구하는 것을 목적으로 하였다. 본 연구를 위하여 우리나라 2007개정 교육과정 수학과 4학년 1학기 도형 영역 관련 단원인 삼각형을 주제로 교과서에서 제시한 발문 내용을 분석하고, 실제 교수-학습 과정에서의 교사 발문의 실태를 알아보고자 제주교육인터넷방송국에 탑재되어 있는 7차 교육과정 4학년 1학기, 2학기 도형 관련 3개의 수업을 관찰 및 분석하였다. 이를 통해 수학적 창의성 신장을 위한 교사 발문의 특성을 수학적 창의성의 하위요소별로 나누어 분석하였다. 학생의 창의성 신장을 위해서 교사는 학생들이 다양하게 사고할 수 있도록 자극할 수 있는 발문을 준비하고, 수업 진행시 하나의 발문에 대해 다수의 반응을 유도하고, 학생의 응답에 대해 단순한 '맞다, 틀리다'의 판단을 내리기 보다는 그 근거를 설명할 수 있는 기회를 마련해 주어 학생이 수학 수업에 흥미를 갖고 스스로 참여할 수 있도록 유도해야 함을 제안하였다.

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Elementary Students' Mathematics Anxiety: A Review (초등학생 수학불안에 관한 문헌연구)

  • Kim, Rina
    • Education of Primary School Mathematics
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    • v.21 no.2
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    • pp.223-235
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    • 2018
  • This literature review focuses on the history of research on elementary students' mathematics anxiety. The results of analysis shows the characteristics, measurement tools, causes and the treatments of mathematics anxiety. The purpose of this study is to provide analytical views of elementary students' mathematics anxiety to teachers, researchers and policymakers. I categorize the results of analysis according to the key words of literatures: (1) the relationship between mathematics anxiety and students' behavior (2) measurements of mathematics anxiety (3) the causes of mathematics anxiety and (4) the treatment of mathematics anxiety.