• Title/Summary/Keyword: Gifted Children in Mathematics

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A Study on Correlation Analysis of Academic Performance per Subject for the Gifted Children in IT (정보영재아동의 과목별 성적 상관관계 분석 연구)

  • Jun, Woochun
    • Journal of Gifted/Talented Education
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    • v.23 no.3
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    • pp.407-419
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    • 2013
  • In current knowledge-based society, development and growth of IT-related industry is essential for a nation's competitiveness since it's economic power depends on IT industry in many countries. A success of IT industry depends on a few IT geniuses like Steve Jobs and Bill Gates. Thus, it is necessary to identify and foster gifted children in IT as early as possible. The purpose of this paper is to identify the correlation of academic performance per subject for the gifted children in IT. The analysis is focused on three subjects, that is, Information, Science, and Mathematics, respectively. For this purpose, the gifted children are selected and analyzed in a gifted science education center attached in a university at Seoul Metropolitan Area. The analysis results show that there is meaningful correlation among three subjects. That is, if high scores in a subject means high scores in other subjects. For instance, a gifted child with high scores in Information got high scores in Science and Mathematics. The result will be useful to improve selection examinations and curriculum for gifted education in IT, for inclusive education and convergent education.

Analysis on the Sociomathematical norms in math gifted classroom according to the Teacher's belief (교사의 신념에 따른 수학영재교실의 사회수학적 규범 비교 분석)

  • Cho, Yoomi;Song, Sang Hun
    • Journal of Educational Research in Mathematics
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    • v.23 no.3
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    • pp.373-388
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    • 2013
  • This paper is to investigate how two elementary school teacher's belief mathematics as educational content, and teaching and learning mathematics as a part of educational methodology, and what the two teachers believe towards gifted children and their education, and what the classes demonstrate and its effects on the sociomathematical norms. To investigate this matter, the study has been conducted with two teachers who have long years of experience in teaching gifted children, but fall into different belief categories. The results of the study show that teacher A falls into the following category: the essentiality of mathematics as 'traditional', teaching mathematics as 'blended', and learning mathematics as 'traditional'. In addition, teacher A views mathematically gifted children as autonomous researchers with low achievement and believes that the teacher is a learning assistant. On the other hand, teacher B falls into the following category: the essentiality of mathematics as 'non-traditional', teaching mathematics as 'non-traditional, and learning mathematics as 'non-traditional.' Also, teacher B views mathematically gifted children as autonomous researchers with high achievement and believes that the teacher is a learning guide. In the teacher A's class for gifted elementary school students, problem solving rule and the answers were considered as important factors and sociomathematical norms that valued difficult arithmetic operation were demonstrated However, in the teacher B's class for gifted elementary school students, sociomathematical norms that valued the process of problem solving, mathematical explanations and justification more than the answers were demonstrated. Based on the results, the implications regarding the education of mathematically gifted students were investigated.

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A Case Study on Instruction for Mathematically Gifted Children (수학영재 수업 사례분석)

  • Park, Kwang-Soon
    • Journal of Gifted/Talented Education
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    • v.20 no.3
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    • pp.655-679
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    • 2010
  • This study was created with the intent of improving the teaching quality of the teachers responsible for instructing higher level math programs. Additionally, this research study was designed to analyze the instruction of mathematically gifted students by using "The Flanders Category System" and "TIMSS video analysis". The results of this study will provide opportunities for a deeper understanding of ways to improve the quality of gifted instruction in mathematics and furthermore will increase the expertise of teachers in the realm of gifted education in mathematics.

A Case Study on Instruction for Mathematically Gifted Children through The Application of Open-ended Problem Solving Tasks (개방형 과제를 활용한 수학 영재아 수업 사례 분석)

  • Park Hwa-Young;Kim Soo-Hwan
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.117-145
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    • 2006
  • Mathematically gifted children have creative curiosity about novel tasks deriving from their natural mathematical talents, aptitudes, intellectual abilities and creativities. More effect in nurturing the creative thinking found in brilliant children, letting them approach problem solving in various ways and make strategic attempts is needed. Given this perspective, it is desirable to select open-ended and atypical problems as a task for educational program for gifted children. In this paper, various types of open-ended problems were framed and based on these, teaming activities were adapted into gifted children's class. Then in the problem solving process, the characteristic of bright children's mathematical thinking ability and examples of problem solving strategies were analyzed so that suggestions about classes for bright children utilizing open-ended tasks at elementary schools could be achieved. For this, an open-ended task made of 24 inquiries was structured, the teaching procedure was made of three steps properly transforming Renzulli's Enrichment Triad Model, and 24 periods of classes were progressed according to the teaching plan. One period of class for each subcategories of mathematical thinking ability; ability of intuitional insight, systematizing information, space formation/visualization, mathematical abstraction, mathematical reasoning, and reflective thinking were chosen and analyzed regarding teaching, teaming process and products. Problem solving examples that could be anticipated through teaching and teaming process and products analysis, and creative problem solving examples were suggested, and suggestions about teaching bright children using open-ended tasks were deduced based on the analysis of the characteristic of tasks, role of the teacher, impartiality and probability of approaching through reflecting the classes. Through the case study of a mathematics class for bright children making use of open-ended tasks proved to satisfy the curiosity of the students, and was proved to be effective for providing and forming a habit of various mathematical thinking experiences by establishing atypical mathematical problem solving strategies. This study is meaningful in that it provided mathematically gifted children's problem solving procedures about open-ended problems and it made an attempt at concrete and practical case study about classes fur gifted children while most of studies on education for gifted children in this country focus on the studies on basic theories or quantitative studies.

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A Case Study of the Result Analysis of Selection Test Items of Gifted Children in mathematics (초등수학영재 선발시험 문항의 결과 분석에 관한 사례 연구)

  • Ryu, Sung-Rim
    • Communications of Mathematical Education
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    • v.23 no.2
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    • pp.349-381
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    • 2009
  • The purpose of this study is to propose issues in selecting gifted children in mathematics by in-depth analysis of the selection process and items. In order to accomplish the purpose, the rate of right and wrong answers were examined based on the reaction of the students by 1st, 2nd and 3rd selection test. Also, the types of the errors were identified for the 2nd and 3rd selection test. According to the study results, the rate of right answers was low in short response questions and essay questions rather than in multiple-choice questions. In addition, the academic achievements were lower in the fields other than number & operations and logic. The conclusion of this study is that following studies regarding selection of gifted children are required linked with the project tasks and programs.

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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.

Comparative Study of Learning Strategies between Mathematical Gifted Children and Average Students in Elementary School (초등수학영재와 일반학생의 학습전략 검사결과 비교 연구)

  • Kim, Yu-Mi;Ryu, Sung-Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.217-239
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    • 2010
  • This study is to understanding characteristics of Mathematical gifted children by comparing and analyzing of the learning strategies between gifted children and average students. The result of this study is as below. First, the mathematical gifted children's application ability on the cognitive meta-cognitive strategies and learning resources management strategies was higher than average students. Second, in case of learning resources management strategies between gender, male mathematical gifted students's t-test showed higher than female gifted students. Also, in case of average students, male student's t-test for the learning motive was higher than average female students. Third, mathematical gifted children are positive correlation among the learning motive, self-efficacy, cognitive meta-cognitive strategies, and learning resources management strategies. And in case of average student, it had a positive correlation among the learning motive, self-efficacy, and cognitive meta-cognitive strategies. But there is no correlation between learning strategies and cognitive meta-cognitive strategies.

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A Study on the Representation of Elementary Mathematics Learning (초등수학 학습에 있어서 표상에 관한 고찰)

  • 최창우
    • Education of Primary School Mathematics
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    • v.8 no.1
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    • pp.23-32
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    • 2004
  • It is not too much to say that problem solving is still the focus of school mathematics though the trend of mathematics education for ten year from the one of 1980 is problem solving and the one of mathematics education for ten year from the one of 1990 is standards and constructivism. There are so many crucial clues or methods in good problem solving but I think that one of them is a representation. So, the purpose of this study is to investigate what is the meaning of representation in general and why representation is so important in elementary mathematics learning, Moreover, I have analyzed the gifted children's thinking of representation which is appeared in the previous internet home task of 40 gifted children who are selected through the examination of 1st, 2nd with paper and pencil and 3rd with practical skill and interview and finally I have presented some examples of children's representation how they use representation to model, investigate and understand special concept more easily in elementary school mathematics class.

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An Analysis on the Mathematics Curriculum of Gifted High School - Focusing on Content Area and Subject Competency- (영재학교 수학과 교육과정 분석 -내용 영역과 교과 역량을 중심으로-)

  • Lee, Eungyeong;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • v.21 no.1
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    • pp.1-18
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    • 2018
  • This study aims to analyze the mathematics curriculum in the gifted school and obtain the understanding of the current situation of education for the math-gifted children in Korea, therefore providing a point of view for the improvements. In order to attain these purposes, the study examined the subject competency for the mathematics set by regular mathematics curriculum system and 2015 revision curriculum, and extracted the analytical standards, based on which the education plan documents of each gifted school were analyzed. The conclusion that has been made based on the analysis results is as follows. First of all, the curriculum of mathematics in the gifted schools in korea is heavily concentrated on analytics and algebra. Secondly, in mathematics curriculum for gifted children in Korea puts the most emphasis on the problem solving competency. Third, geometry subject in the mathematics curriculum of Korean gifted schools deals with the given content only at the level of regular high school curriculum. Fourth, learning materials in most gifted schools are not the ones especially revised and adapted for the gifted students but usually the ones for the college students. Lastly, gifted schools are running the curriculum featured with curriculum compacting and advance learning focusing on acceleration.

Performance Assessment for Mathematically Gifted (수학영재교육에서의 관찰평가와 창의력평가)

  • Shin, Hui-Young;Ko, Eun-Sung;Lee, Kyung-Hwa
    • School Mathematics
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    • v.9 no.2
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    • pp.241-257
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    • 2007
  • The study aims to figure out how to improve existing examination tools to distinguish mathematically gifted children and to clarify procedures and criteria for selecting candidates. Toward this end, it examined correlations between grades of gifted children selected through evaluation by pen-and-pencil tests and their creative problem-solving capability and performance assessment, and analyzed learning activities of the gifted children. According to the analysis, results of pen-and-pencil tests turned out to have low correlations with their creative problem-solving capability and performance assessment, but it was found that their creative problem-solving capability has high correlations with results of performance assessment. The analysis also found that there were some students who participated in a program for gifted children with high marks but had difficulties in adapting themselves to it. It found that there were children who joined the program with low marks but emerged as successive performers later on. In this regard, the existing examination tools to tell the gifted students apart need to be used to the fullest extent, and other diversified tools to evaluate mathematical capabilities that include mathematical creativity need to be further studied and developed. Qualitative studies on affective development of the gifted students and their creative problem-solving processes need to be conducted.

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