• Title/Summary/Keyword: 수학과 학업성취도

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Effect of Mathematising Learning Using Realistic Context on the Children's Mathematical Thinking (현실적 맥락을 활용한 수학화 학습이 아동의 수학적 사고에 미치는 효과 -초등학교 5학년 도형 영역을 중심으로-)

  • Kim, Yoo-Jin
    • Journal of Elementary Mathematics Education in Korea
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    • v.11 no.2
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    • pp.99-115
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    • 2007
  • The purpose of this study was to look into whether this mathematising learning utilizing realistic context has an effect on the mathematical thinking. To solve the above problem, two 5th grade classes of D Elementary School in Seoul were selected for performing necessary experiments with one class designated as an experimental group and the other class as a comparative group. Throughout 17 times for six weeks, the comparative group was educated with general mathematics learning by mathematics and "mathematics practices," while the experimental group was taught mainly with mathematising learning using realistic context. As a result, to start with, in case of the experimental group that conducted the mathematising learning utilizing realistic coherence, in the analogical and developmental thoughts which are mathematical thoughts related to the methods of mathematics, in the thinking of expression and the one of basic character which are mathematical thoughts related to the contents of mathematics, and in the thinking of operation, the average points were improved more than the comparative group, also having statistically significant differences. The study suggested that it is necessary to conduct subsequent studies that can verify by expanding to each grade, sex and region, develop teaching methods suitably to the other content domains and purposes of figures, and demonstrate the effects. In addition to those, evaluation tools which can evaluate the mathematical thinking processes of children appropriately and in more diversified methods will have to be developed. Furthermore, in order to maximize mathematising for each group in each mathematising process, it would be necessary to make efforts for further developing realistic problem situations, works and work sheets, which are adequate to the characteristics of the upper and lower groups.

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A Study on the Improvement of Teaching Mathematics via the Use of the Mathematical History based on the Learning Stages (학습 단계별 수학사 활용 학습을 통한 수학 수업 개선)

  • Lee, Jeong-Jae;Yun, Sang-Hyun;Choo, Shin-Hae;Shim, Soo-Jeong
    • Education of Primary School Mathematics
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    • v.10 no.1 s.19
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    • pp.57-70
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    • 2007
  • This study is aimed at the improvement of the teaching mathematics via the use of the mathematical history based on the learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. General questions of this study are as follows according to the purpose of this study: First, we develop materials to use the teaching and learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. Second, we search the effective methods for using materials which are developed in this study. Third, we apply materials to the teaching and learning mathematics. To answer the problems, 1 class students of the 4th grade in Gwangju participated in this study. Teaching and learning which uses mathematical history based on the learning stages is performed. The following results were obtained in this research. First, the teaching and learning using materials which is related to mathematical history is effective in improvement of students' mathematical ability. Second, the teaching and learning using material which is related to mathematics history is effective in improvement of students' mathematical attitude. In special, mathematical attitude of students who are involved in learning using materials which is related to mathematical history is more positive than that of general students using traditional teaching methods. Lastly, generalization of newly developed materials should be done to get more development and upgrade.

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The Effects of Instruction Using Mind-Map in Mathematical Studies on Academic Achievements and Attitudes of Underachievers (마인드 맵을 활용한 학습부진아의 지도가 수학학습 능력 및 태도에 미치는 영향)

  • Park, Song-Yi;Ro, Young-Soon
    • Journal of the Korean School Mathematics Society
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    • v.12 no.2
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    • pp.243-260
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    • 2009
  • Many students have difficulty studying mathematics because of its unique characteristics and the numbers of underachievers in mathematics are increasing, not decreasing, even though great teaching-learning methods have been provided. The purpose of this research is to examine if instruction using mind-map in mathematical studies has positive effects on achievement and attitudes of underachievers in mathematics. For this, mathematics learning ability test before instruction, survey of attitudes toward mathematics before and after instruction and mathematics learning ability test before and after instruction were performed for 32 underachievers in two classes of first grade in C high school in South Chung cheong Province. The positive effects of instruction using mind-map in mathematical studies on academic achievements and attitudes of underachievers were expected, but results indicate that there is no significant effect. However, results indicate that the use of mind-map in mathematics instruction has positive effects partially on the changes of learning attitudes. Therefore, the characteristics of underachievers in mathematics should be understood first, mind-map according to them should be applied and students should have time to properly perceive and draw mind-map skillfully. In teachers' professional knowledge of mind-map and consideration for students, when follow-up researches and systematic instruction proceed together for a long period time, the desired results can be realized.

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A Study on the Mathematical Communication and Problem Solving Using Internet in Pattern (인터넷을 활용한 패턴 학습에서의 수학적 의사소통 및 문제해결에 관한 연구)

  • 류성림;박신정
    • School Mathematics
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    • v.5 no.4
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    • pp.459-476
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    • 2003
  • Internet was introduced to this study for making mathematics class the surroundings where students can solve the mathematics problems and communicate mathematically in a free way without restriction of time and place. With the intention of investigating mathematical communication and problem solving in mathematics education using internet, the objects of this study were determined as follows: First, how does a student express mathematical idea in problem solving using internet\ulcorner Second, is there any difference in the degree of participation of mathematical communication according to schoolwork accomplishment and characteristics of the student\ulcorner Third, what's the effect of class using internet on problem solving of mathematics class\ulcorner A case study was executed for the solution and the subjects were all students(44 persons) of a class in the fourth grade of elementary school in D city got into web-site of internet and had class with it and 8 students out of them were deeply analyzed. Their results were shown on internet, and eight of them had interview for deep research after survey with questionnaires for all of the students after class. The results and the conclusions of this study were as follows: First, it showed that there was various types(simple statement, fact enumerating, logical thinking, using letters and formula, insufficiency of explanation) of the mathematical idea expression in internet according to students and study using internet seems to be helpful to the improvement of logical his own expression through other students' expression. Second, it showed that there was difference in mathematical communication participation according to the student's characteristics and it helped students of poor schoolwork be interested and confident in mathematics. Third, it showed that pattern study using internet had effect on forming a habit of reason and verification in problem solving in mathematics class. Accordingly, pattern study using internet seems to have a positive effect on increasing mathematical interests and solving problems in mathematics class.

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The Use of the Geometer's Sketchpad in Eighth-Grade Students' Quadrilateral Learning (The Geometer's Sketchpad를 활용한 8학년 학생들의 사각형 학습)

  • Han, Hye-Sook
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.513-541
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    • 2008
  • The purposes of the study were to investigate whether the use of the Geometer's Sketchpad(GSP) is more effective than the use of traditional tools such as ruler and protractor to enhance eighth- grade students' understanding of quadrilaterals and geometric reasoning ability and to examine how the use of the software affects on the development of students' understanding and reasoning ability. According to the results of the posttest, there was a significant difference in student achievement between students using GSP and students using ruler and protractor. Students using GSP significantly outperformed students using ruler and protractor on the posttest. Student interview data showed that the use of the GSP was more effective in developing students' geometric reasoning ability. Students using GSP achieved higher degrees of acquisition for van Hiele level 2 and 3 than students using ruler and protractor. Dynamic visual representations and hands-on experiences provided in GSP learning environment helped students approach quadrilateral concepts more conceptually and realize their pre-existing conceptual errors and re-conceptualize their mathematical ideas.

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Comparison of Mathematical Thinkings Based on the Development Process of Two Brothers Talented in Math: A Case Study (부모의 양육태도가 다른 형제 영재의 수학적 성향 비교: 사례연구)

  • Cho, Cha-Mi
    • Journal of Gifted/Talented Education
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    • v.19 no.1
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    • pp.47-67
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    • 2009
  • This paper is about a case study of two brother talents who have a similar genetic factor The researcher who worked as a teacher of the Institute of Talent Education where the two brothers attended for 3 years analyzed and compared the influential variables through the interview of both the students and their parents. Parents have invested to the elder brother showing geniuses so they disciplined him suppressively out of too much expectation. However, they allowed his brother, who showed talents later, more automaticity, supporting him when he himself wanted to study. As a result, the younger brother showed a more creative thinking ability, and a better school performance This paper is significant in that parents's positive disciplining attitude maximize children's genius.

Development of a Drug Dosage Calculation Learning Smartphone Application (약물용량계산 학습 스마트폰 어플리케이션 개발)

  • Kim, Myoung-Soo;Park, Jung-Ha
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.5
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    • pp.2251-2261
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    • 2013
  • The objective of this study was to develop and evaluate learning smartphone application for improving drug dosage calculation ability of nursing students. We evaluated the contents based on the sufficient teaching materials and developed the process for implementation of the educational system. The participants were 37 nursing students. After implementation during 4 weeks, data was analyzed with the SPSS WIN 18.0. There were significant differences of achievement of learning objectives(${\chi}^2$=10.90, p=.004), application to work(Z=2.86, p=.004), mathematical confidence (Z=3.07, p=.002), according to the frequency of program use, but there was no difference in academic self-efficacy. Based on the results of this study, developed smartphone application will help to strengthen the drug dosage calculation ability of nursing students. And also, the results suggest that more powerful application for improving academic efficacy and increasing participation should be developed.

과학영재아동의 적응, 자기지각, 사회적지지 및 스트레스에 관한 연구

  • 이국행;이영환;김현지
    • Proceedings of the Korean Society for the Gifted Conference
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    • 2003.05a
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    • pp.161-166
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    • 2003
  • 우리나라 영재교육에 대한 연구들은 대부분 영재아의 개념정의와 판별도구 개발, 영재발굴, 선발 및 그들의 교육에 편중되어 있는 반면 영재아들의 적응, 자기지각, 또래관계등 사회정서발달에 관련된 연구는 거의 이루어지지 못하고 있다 이에 본 연구는 과학영재아동의 개인 및 일상생활에서의 적응수준 및 성별에 따른 적응, 자기지각 및 사회적지지의 차이를 파악하며, 그들의 스트레스에 영향을 미치는 자기지각 및 사회적 지지 수준을 살펴보고 영재아의 사회적 성취나 적응에 도움을 줄 수 있는 방안을 모색하고자 한다. 본 연구의 연구문제는 다음과 같다. 첫째, 과학영재아동과 일반아동의 적응(개인적응, 사회적응, 부적응), 자기지각 및 사회적 지지는 차이가 있는가\ulcorner, 둘째, 과학영재아동의 적응, 자기지각 및 사회적 지지는 성별에 따라 차이가 있는가\ulcorner, 셋째, 과학영재아동의 스트레스에 영향을 미치는 자기지각, 사회적 지지 수준은 어떠한가\ulcorner 본 연구의 대상은 전라북도에 위치한 중학교 1학년 100명의 아동이며, 이들은 교사추천 및 전북대학교 과학영재연구소의 과학과 수학시험을 통해 선발된 과학 영재아동이다. 설문결과 불성실한 응답자를 제외한 총 39명(남아 59명, 여아 30명)이 최종 연구대상이 되었다. 본 연구의 측정도구로 아동의 적응능력검사도구는 한국교육평가센터(KETC)에서 1998년 개발하여 표준화과정을 마친 종합적응능력검사를 사용하였으며, 개인적응영역(자아개념 12문항, 성취동기 10문항, 자기기획 15문항), 사회적응영역(사교성 15문항, 애착 9문항, 사회적 긍정성 10문항), 부적응영역(스트레스 20문항, 욕구좌절 10문항, 편견 12문항) 총 113문항으로 구성되어 있다. 아동의 자기지각검사도구는 Harter(1985)의 Self-Perception Profile이며, 학업역량, 사회적역량, 운동역량, 신체외모역량, 행동품행역량, 자기가치감 각각 6문항씩 총36문항으로 구성되어 있다. 아동의 사회적 지지검사도구는 한미현(1996)이 제작한 척도를 사용하였으며 부모지지, 교사지지, 학교친구지지, 친한 친구지지 각각 6문항씩 총 24문항으로 구성되어 있다.

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A Study of Teachers' Perception and Status about Descriptive Evaluation in Secondary School Mathematics (중등 수학과 서술형 평가의 현황 분석 연구)

  • Noh, Sun-Sook;Kim, Min-Kyeong;Cho, Seong-Min;Jeong, Yeon-Sook;Jeong, Yun-Ah
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.377-397
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    • 2008
  • In today's secondary school mathematics curriculum, assessment is to be focused on evaluating the student's mathematical thinking rather than finding the correct solution to the problem. A descriptive evaluation method is therefore introduced to the school districts and suggested as an alternative assessment method in K-12 school mathematics. Descriptive evaluation method is widely available for use in schools, but there are barriers to using it since the teachers are forced to use the method by the school districts. In this research, we surveyed 120 secondary school mathematics teachers in Seoul and the surrounding metropolitan area to understand the status and the perception about using descriptive evaluation. The goal of the study was to find and understand the direct implications of using the new assessment method in secondary mathematics classes. The study showed that most of the mathematics teachers used the descriptive assessment method during their regular exam periods which is given twice per semester. Most of the open-ended problems used for descriptive evaluation were medium or high level math questions which were graded by the teachers at least 3 times to ensure objective evaluation. The teachers stated that objectivity in grading, administrative situation, and development of descriptive problems were the difficult barriers in descriptive evaluation. The teachers in the survey also commented that teachers' administrative responsibility should be reduced and that school environment in general should be improved for the new assessment method to become successful. Finally, the study showed that development of more descriptive problems with specific grading guidelines need to be developed for each grade level.

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A Study on the Recognition of Elementary School Teachers about Mathematical Descriptive Tests and Their Practices (초등 교사들의 수학과 서술형 평가에 대한 인식 및 실태)

  • Do, Joo-Won;Oh, Jee-Yeon;Gong, Jeone-In;Joo, Mi-Jung;Kim, Mi-Young;Lee, Dae-Hyun;Park, Man-Goo
    • Education of Primary School Mathematics
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    • v.12 no.2
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    • pp.63-80
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    • 2009
  • In this study, we analyzed teachers' recognitions of the necessity of mathematical descriptive tests and their practices in the elementary schools. We then suggested several examples of improved formats of the mathematical descriptive evaluation. For analyzing teachers' recognitions and practices of mathematical descriptive assessment, we surveyed 104 elementary school teachers in Seoul. We collected the test items from the schools and analyzed them to find how they are practiced in the schools. The results were as follows. First, most elementary school teachers are basically recognizing the direction and the purpose of mathematical descriptive assessment. Second, the ratio of the descriptive test items was very low compared with the teachers' recognition of necessity of including descriptive items in the tests. Third, the teachers usually made the descriptive items with their colleagues using textbooks, test manuals for teachers, and the references that the office of education provided. Fourth, to enhance teachers' understanding of descriptive assessment, systematic training programs for teachers about the descriptive assessment should be continued. Finally, the office of education and research institutes should provide various types of test items and more teacher training programs on descriptive assessments.

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