• Title/Summary/Keyword: Mathematical gifted education

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관찰 및 추천에 의한 영재교육대상자 선발방식 분석 - 2011학년도 대학부설 과학영재교육원 입학전형을 중심으로 -

  • Kwon, Ern-Gun;Jo, In-Seo
    • East Asian mathematical journal
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    • v.28 no.2
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    • pp.215-232
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    • 2012
  • The methods of selection through observations and recommendations were introduced in the process of recruiting new students for the science education institutes for the gifted attached to 25 universities recently. This paper itemized the methods of screening through observations and recommendations. This paper also analyzed the problems with the methods and attempted to create plans for their improvement. The methods of selection through observations and recommendations led to the positive results that students' usual activities and attitudes in the classroom were reflected on the evaluation and that the cost of their private lessons was also reduced. However, the methods showed a few problems that need to be corrected. We point out problems occurring with examining their documents for submission and interviews. It was not easy to grade candidates' gifts, creativity, potential and development within the contents of the documents and the limited time of conducting interviews. On the plans for the developments of the implemented methods of selection through observations and recommendations, we have several suggestions. The chances for teachers' in-service training of learning the methods of selection through observations and recommendations need to be expanded. The interview needs to be enhanced and to have the same weight as the document screening. To secure the continuity of the education for the gifted, the clear guidelines from the Ministry of Education, Science, Technology along with the cooperation of the education institutes for the gifted are essential.

Analysis of Research Trends in Mathematical Creativity Education (수학적 창의성 교육에 관한 연구 동향 분석)

  • Choi, Byoung-Hoon;Pang, Jeong-Suk
    • Journal of Gifted/Talented Education
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    • v.22 no.1
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    • pp.197-215
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    • 2012
  • The purpose of this study was to analyze the research trends of 114 papers about mathematical creativity published in domestic journals from 1997 to 2011 with regard to the years, objects, subjects, and methods of such research. The research of mathematical creativity education has been studied since 2000. The frequent objects in the research were non-human, middle and high school students, elementary students, gifted students, teachers (in-service and pre-service), and kindergarteners in order. The research on the teaching methods of mathematical creativity, the general study of mathematical creativity, or the measurement and the evaluation of mathematical creativity was active, whereas that of dealing with curricula and textbooks was rare. The qualitative research method was more frequently used than the quantitative research one. The mixed research method was hardly used. On the basis of these results, this paper shows how mathematical creativity was studied until now and gives some implications for the future research direction in mathematical creativity.

Analysis of characteristics from meta-affect viewpoint on problem-solving activities of mathematically gifted children (수학 영재아의 문제해결 활동에 대한 메타정의적 관점에서의 특성 분석)

  • Do, Joowon;Paik, Suckyoon
    • The Mathematical Education
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    • v.58 no.4
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    • pp.519-530
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    • 2019
  • According to previous studies, meta-affect based on the interaction between cognitive and affective elements in mathematics learning activities maintains a close mechanical relationship with the learner's mathematical ability in a similar way to meta-cognition. In this study, in order to grasp these characteristics phenomenologically, small group problem-solving cases of 5th grade elementary mathematically gifted children were analyzed from a meta-affective perspective. As a result, the two types of problem-solving cases of mathematically gifted children were relatively frequent in the types of meta-affect in which cognitive element related to the cognitive characteristics of mathematically gifted children appeared first. Meta-affects were actively acted as the meta-function of evaluation and attitude types. In the case of successful problem-solving, it was largely biased by the meta-function of evaluation type. In the case of unsuccessful problem-solving, it was largely biased by the meta-function of the monitoring type. It could be seen that the cognitive and affective characteristics of mathematically gifted children appear in problem solving activities through meta-affective activities. In particular, it was found that the affective competence of the problem solver acted on problem-solving activities by meta-affect in the form of emotion or attitude. The meta-affecive characteristics of mathematically gifted children and their working principles will provide implications in terms of emotions and attitudes related to mathematics learning.

A Study on Analyzing Mathematics Programs for Gifted Students and Developing Teaching & Learning Materials. (중등학교 수학 영재교육 프로그램 분석 및 교수-학습 자료 개발에 관한 연구)

  • 한인기
    • Journal of Gifted/Talented Education
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    • v.11 no.3
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    • pp.175-202
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    • 2001
  • The purpose of this work is to analyze various mathematics programs and related studies for gifted students of secondary school, to extract meaningful suggestions, and to develop some mathematics materials to realize our suggestions. We analyzed mathematics curriculum drafts for gifted students(by KEDI), mathematics program for the gifted students of Russia, and mathematics programs of some specialist of gifted education. We were able to extract some important aspects for developing teaching & teaming materials. Especially in this study we took notice of systematization of mathematical problems, and suggested a model of systematization of mathematical problems.

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Mathematical Reasoning Ability and Error Comparison through the Descriptive Evaluation of Mathematically Gifted Elementary Students and Non-Gifted Students (초등수학영재와 일반학생의 서술형 평가를 통한 수학적 추론 능력 및 오류 비교)

  • Kim, Dong Gwan;Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.123-148
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    • 2014
  • The purpose of this study is to figure out the perceptional characteristics of mathematically gifted elementary students by comparing the mathematical reasoning ability and errors between mathematically gifted elementary students and non-gifted students. This research has been targeted at 63 gifted students from 5 elementary schools and 63 non-gifted students from 4 elementary schools. The result of this research is as follows. First, mathematically gifted elementary students have higher inductive reasoning ability compared to non-gifted students. Mathematically gifted elementary students collected proper, accurate, systematic data. Second, mathematically gifted elementary students have higher inductive analogical ability compared to non-gifted students. Mathematically gifted elementary students figure out structural similarity and background better than non-gifted students. Third, mathematically gifted elementary students have higher deductive reasoning ability compared to non-gifted students. Zero error ratio was significantly low for both mathematically gifted elementary students and non-gifted students in deductive reasoning, however, mathematically gifted elementary students presented more general and appropriate data compared to non-gifted students and less reasoning step was achieved. Also, thinking process was well delivered compared to non-gifted students. Fourth, mathematically gifted elementary students committed fewer errors in comparison with non-gifted students. Both mathematically gifted elementary students and non-gifted students made the most mistakes in solving process, however, the number of the errors was less in mathematically gifted elementary students.

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An Analysis on Open-ended Problem Solving of Gifted Students (수학 영재학생의 개방형 문제 해결 사례 분석)

  • Choi, Su A;Kang, Hong Jae
    • East Asian mathematical journal
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    • v.32 no.4
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    • pp.545-563
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    • 2016
  • The aim of this study was to observe processes and implication to a given program for the 20 gifted children grade 5 by making the number from 1 to 100 with natural numbers 4,4,9 and 9. Revelation of creativity, mathematical tendency of students and meaningful responses were observed by the qualitative records of this game activity and the analysis of result. The major result of a study is as follows: The mathematical creativities of students were revealed and developed by this activity. And the mathematical attitude were changed and developed, so student could actively participate. And students could experience collaborative and social composition learning by presentations and discussion, competition with a permissive atmosphere and open-game rule. It was meaningful that mathematical ideas (negative number, square root, factorial, [x]: the largest integer not greater than x, absolute value, percent, exponent, logarithm etc.) were suggested and motivated by students themselves.

A Case Study for Developing the Mathematical Creativity in CNUE of Korea

  • Kim Soo-Hwan
    • Research in Mathematical Education
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    • v.9 no.2 s.22
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    • pp.175-182
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    • 2005
  • This paper will present two activity cases for developing mathematical creativity at The Center for Science Gifted Education (CSGE) of Chongju National University of Education of Korea. One is 'the magic card mystery'; the other is 'mathematicians' efforts to solve equations'.

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A study of gifted students's mathematical process of thinking by connecting algebraic expression and design activities (대수식과 디자인의 연결과정에서의 영재학생들의 수학적 사고 과정 분석)

  • Kwon, Oh-Nam;Jung, Sun-A
    • The Mathematical Education
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    • v.51 no.1
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    • pp.47-61
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    • 2012
  • Students can infer mathematical principles in a very natural way by connecting mutual relations between mathematical fields. These process can be revealed by taking tasks that can derive mathematical connections. The task of this study is to make expression and design it and derive mathematical principles from the design. This study classifies the mathematical field of expression for design and analyzes mathematical thinking process by connecting mathematical fields. To complete this study, 40 gifted students from 5 to 8 grade were divided into two classes and given 4 hours of instruction. This study analyzes their personal worksheets and e-mail interview. The students make expressions using a functional formula, remainder and figure. While investing mathematical principles, they generalized design by mathematical guesses, generalized principles by inference and accurized concept and design rules. This study proposes the class that can give the chance to infer mathematical principles by connecting mathematical fields by designing.

Difference between Gifted and Regular High School Students in Mathematical Thinking Ability (고등학교 수학영재와 일반학생의 수학적 사고력의 비교)

  • Hwang, Dong-Jou;Lee, Kang-Sup
    • Journal of Gifted/Talented Education
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    • v.21 no.4
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    • pp.847-860
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    • 2011
  • In this study, the instrument of mathematical thinking ability tests were considered, and the differences between gifted and regular high school students in the ability were investigated by the test. The instrument consists of 9 items, and verified its quality due to reliability. Participants were 353 regular and 252 gifted high school students from tenth grade. As a result, not only organizing ability of information but also ability of space perception and visualization and intuitive insight ability could be the characteristics of the mathematical giftedness.

A Case Study for Creativity Assessment of Problem Solving Process of Mathematically Gifted High School Students Utilizing Construction Protocol of GeoGebra (GeoGebra의 구성단계 기능을 활용한 고등학교 수학 영재 문제해결 과정의 창의성 평가 사례 연구)

  • Yang, Seonghyun
    • Journal of Gifted/Talented Education
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    • v.24 no.6
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    • pp.897-916
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    • 2014
  • In this study, we presented a teaching-learning method that can apply process-focused assessment for mathematical creativity of problem solving process of the gifted student, By necessity of appropriate teaching-learning program development to the level and ability of students who belong to high school gifted classes and courses evaluation for students who participated in education programs for the gifted. In the construction implementation process of students utilizing a kind of teaching-learning software, GeoGebra. We analyzed process of a variety of creative constructing figures using interfaces of GeoGebra and algebraic calculation. Utilizing 'Construction Protocol' and 'Navigation Bar' of GeoGebra, We identified computer languages, construction order, run times used in construction process of individual student and found mathematical creativity of students in the process. Comparing this result with prerequisite learning degree of individual student, We verified that this teaching-learning method can apply at the high school gifted classes as well as institutes for the gifted education in the city office.