• Title/Summary/Keyword: mathematics gifted education

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A Study on Analyzing and Assessing the Divergent Products of the Mathematically Gifted 5th Grade Students in Elementary Schools (초등학교 5학년 수학 영재 학생의 확산적 산출물의 분석 및 평가에 관한 연구)

  • Lim, Mun-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.10 no.2
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    • pp.171-194
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    • 2006
  • As it is not long since the gifted education was implemented in elementary school, it is necessary to accumulate the practical studies on the mathematically gifted education. This paper focused on enhancing creativity by providing the various and divergent thinking activities for mathematically gifted students. For this purpose, I prepared two mathematics problems, and , and let the mathematically gifted 5th grade students solve them. After that, I investigated to analyse their reactions in detail and tried to find the methods for assessing their divergent products. Finally, I found that they could pose various and meaningful calculating equations and also identify the various relations between two numbers. I expect that accumulating these kinds of practical studies will contribute to the developments of gifted education, in particular, instructions, assessments, and curriculum developments for the mathematically gifted students in elementary schools.

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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.

Development and application of program for mathematically gifted students based on mathematical modeling : focused on Voronoi diagram and Delaunay triangulation (영재교육을 위한 수학적 모델링 프로그램의 개발 및 적용 :보로노이 다이어그램과 들로네 삼각분할을 중심으로)

  • Yu, Hong-Gyu;Yun, Jong-Gug
    • Communications of Mathematical Education
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    • v.31 no.3
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    • pp.257-277
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    • 2017
  • The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student's mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student's core competency. Applying the mathematical modeling program, the following findings were given. First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education. Second,, in third enrichment course(Student's Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and self-directed learning ability are appeared to gifted students. Third, in third enrichment course(Student's Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.

A Study on the Science Gifted Students Awareness of Science, Mathematics and Technology/Engineering to Enhance National Competitive Power (국가 경쟁력 강화를 위한 중학교 영재 학생들의 과학, 수학, 기술 및 공학에 대한 인식 조사)

  • Park, Kyungsuk;Lee, Hyonyong;Jeon, Jaedon
    • Journal of Gifted/Talented Education
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    • v.25 no.3
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    • pp.363-380
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    • 2015
  • The convergent education such as STEAM education has been implemented in the gifted education institutions in order to resolve the crisis of science and engineering fields caused by the science and engineering avoidance of excellent talents. The purpose of this study was to investigate awareness about science, mathematics and technology/ engineering fields of science gifted students. The subjects were 86 middle school science gifted students at the Science Institute for Gifted Students of a university located in metropolitan city in Korea. The data were collected from the survey that consists of 97 questions in 3 categories. The results were follows: First, the gifted students were aware that science was more interesting than mathematics or technology/engineering. Second, science rated highest in career choice. Third, they were aware that the scientists were more interesting, more imagination, less accuracy and less considering than the mathematicians and the engineers. In addition they responded that the mathematicians were smarter than the scientists and the engineers, and the engineers were more diligent than the scientists and the mathematicians. Finally, the result of the correlational analysis indicated that there were strong correlations between science and mathematics, and between science and technology/engineering. It was recommended that the consolidation of the convergent gifted education, the necessity of systemic career education, and the study of correlation between mathematics and technology/engineering.

An Analysis of Mathematics Instruction for Professional Development of Elementary School Teachers for Gifted (초등 영재 교사의 수업 전문성 신장을 위한 수학 수업 사례 분석)

  • Kim, MinJeong;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.19 no.2
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    • pp.143-160
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    • 2016
  • Despite the recent increasing interest in classroom expertise of teachers for gifted there has been lack of research on exploring or analyzing the components of classes for gifted tailored to the characteristics of each subject matter Given this, this study looked for the components of performance domain of classes for gifted in mathematics and then analyzed one teacher's 12 lessons in terms of the components. The features of the lessons included the establishment of classroom atmosphere by considering the characteristics of mathematically gifted students, the introduction of or expansion to mathematically enriched tasks, promotion to mathematically higher thinking, and emphasis of mathematical pattern, connections, and utility. This study is expected for researchers to provide a practical case on how to analyze elementary classes for gifted in mathematics. It also helps teachers who teach gifted students to develop professional vision of mathematics instruction and to increase their classroom expertise.

Analyzing a Mathematical Gifted Student's Output for Mentor-Independent Study - A Case Study Focused on Mathematics Education for the Gifted - (수학 영재학생의 사사독립연구에 대한 산출물 분석 - 중등 영재학생을 중심으로 한 사례연구 -)

  • Lee, Heon-Soo;Park, Jong-Youll
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.185-205
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    • 2011
  • In this paper, we investigated the mathematical output of a gifted student's independent study. We chose one student who was taking a mentorship course in mathematics at the Gifted Education Center in Chonnam National University, and analyzed the characters of the result which a student showed through the output of independent study and studied the psychological change of a student while he was making a presentation of the results of his study. We found following facts. First, a mentor-independent study improves a mathematical gifted student's inductive thinking and ability to generalize and apply to other cases. Second, presenting a mathematical gifted student's output for mentor-independent study improves his ability of mathematical communication in the abilities of creative problem solving. Finally, there is an increased change in his perception and self-efficacy of mathematics after the presentation.

Gifted Students and Advanced Mathematics

  • Barbeau, Edward J.
    • Research in Mathematical Education
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    • v.12 no.4
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    • pp.283-291
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    • 2008
  • The extension to a wide population of secondary education in many advanced countries seems to have led to a weakening of the mathematics curriculum. In response, many students have been classified as "gifted" so that they can access a stronger program. Apart from the difficulties that might arise in actually determining which students are gifted (Is it always clear what the term means?), there are dangers inherent in programs that might be devised even for those that are truly talented. Sometimes students are moved ahead to more advanced mathematics. Elementary students might be taught algebra or even subjects like trigonometry and vectors, and secondary students might be taught calculus, differential equations and linear algebra. It is my experience over thirty-five years of contact with bright students that acceleration to higher level mathematics is often not a good idea. In this paper, I will articulate some of the factors that have led me to this opinion and suggest alternatives. First, I would like to emphasize that in matters of education, almost every statement that can be made to admit counterexamples; my opinion on acceleration is no exception. Occasionally, a young Gauss or Euler walks in the door, and one has no choice but to offer the maximum encouragement and allow the student to go to the limit of his capabilities. A young genius can demonstrate an incredible amount of mathematical insight, maturity and mastery of technique. A classical example is probably the teen-age Euler, who in the 1720s was allowed regular audiences with Jean Bernoulli, the foremost mathematician of his day.

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The Comparison of the Science Gifted and Mathematics Gifted in Attitude Toward Science and Learning Motivations in Science of Elementary School Students (초등학교 과학영재학생과 수학영재학생의 과학에 대한 태도 및 과학학습동기 차이)

  • Park, Byoung-Tai;Ko, Min-Seok;Kim, O-Beom
    • Journal of Gifted/Talented Education
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    • v.22 no.4
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    • pp.917-928
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    • 2012
  • The purpose of this study is to survey and compare of the science gifted and the mathematics gifted students at elementary school's 171 students who live in the Seoul city, using Attitude Assessment Tool and Learning Motivation in Science. The analytical results of the collected data are presented as follow; Firstly, there was no difference between science gifted and mathematics gifted in the attitude, value, social meaning, and attitude toward science subject and learners mostly have a positive attitude toward science but, there was difference in the preference of the science gifted and mathematics gifted. Science gifted's preference toward science subject is higher than mathematics gifted students. Secondly, there was no difference in the attention, self-efficacy, and contentment in learning motivation in the science but, there was difference between science gifted and mathematics gifted in the relevance.

The Problems and Enlightenment about Gifted Children's Mathematics Educational Practice in China

  • Pang Kun;Li Mingzhen
    • Research in Mathematical Education
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    • v.9 no.4 s.24
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    • pp.335-340
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    • 2005
  • According to the mathematics educational practice and research about gifted children in some secondary schools in China, the paper presented some relevant problems: 1. Missing or mistaken selecting in gifted children in China. It included the limitations of identifying standard and the fault of understanding and doing in practice, administration disturbance and emotional inclination. 2. Backward traditional mathematics teaching in gifted children in China. It included lower teaching starting point, slower teaching planned speed, simpler teaching contents and so on. The paper analyzed the problems, and made enlightenment for gifted children's mathematical teaching strategies: raising starting point of contents; emphasizing essential principles and skills; using flexible teaching methods; encouraging discover and creativity and developing harmoniously psychological level and mathematical ability. As to these strategies, some detail measures were offered as well.

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A Development and Application of Independent Study Checklist for Mathematics Gifted Students (초등수학 영재학생을 위한 독립연구 점검표 개발 및 적용)

  • Bak, Jeong Ung;Lee, Dae Hyun
    • Education of Primary School Mathematics
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    • v.18 no.2
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    • pp.77-89
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    • 2015
  • In this study, an 'Independent Study Checklist' for gifted mathematics students was developed and applied. The characteristics shown in the results after the 'Independent Study Checklist' was applied to mathematics gifted students were analysed. The checklist was divided into six phases of the independent study process and included checking contents at each stage. Observations, student interviews and results of the process of 'Independent Study' were collected and analysed to understand the characteristics of students' outcomes. The results from the application of the 'Independent Study Checklist' suggest the followings. First, the 'Independent Study Checklist' took the role of a self-check list to identify the process of the 'Independent Study'. Second, the check points of the 'Independent Study Checklist' presented the view of discussion to gifted students. Third, the 'Independent Study Checklist' was used as teaching material for teachers of gifted students. Fourth, 'Independent Study Checklist' was optionally used according student's study topics and method. Fifth, the checklist at each phase was continuously used during the whole process of 'Independent Study'. The teachers' interest and encouragement took the role of facilitating students' study process.