• Title/Summary/Keyword: middle school mathematical gifted students

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Differences among Sciences and Mathematics Gifted Students: Multiple Intelligence, Self-regulated Learning Ability, and Personal Traits (과학·수학 영재의 다중지능, 자기조절학습능력 및 개인성향의 차이)

  • Park, Mijin;Seo, Hae-Ae;Kim, Donghwa;Kim, Jina;Nam, Jeonghee;Lee, Sangwon;Kim, Sujin
    • Journal of Gifted/Talented Education
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    • v.23 no.5
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    • pp.697-713
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    • 2013
  • The research aimed to investigate characteristics of middle school students enrolled in a science gifted education center affiliated with university in terms of multiple intelligence, self-regulated learning and personality traits. The 89 subjects in the study responded to questionnaires of multiple intelligence, self-regulated learning ability and a personality trait in October, 2011. It was found that both science and math gifted students presented intrapersonal intelligence as strength and logical-mathematical intelligence as weakness. While physics and earth science gifted ones showed spatial intelligence as strength, chemistry and biology gifted ones did intrapersonal intelligence. For self-regulated learning ability, both science and mathematics gifted students tend to show higher levels than general students, in particular, cognitive and motivation strategies comparatively higher than meta-cognition and environment condition strategies. Characteristics of personal traits widely distributed across science and mathematics gifted students, showing that each gifted student presented distinct characteristics individually. Those gifted students showing certain intelligence such as spatial, intrapersonal, or natural intelligences as strength also showed different characteristics of self-regulated learning ability and personal traits among students showing same intelligence as strength. It was concluded that science and mathematics gifted students showed various characteristics of multiple intelligences, self-regulated learning ability, and personal traits across science and mathematics areas.

A Case Analysis of Inference of Mathematical Gifted Students in the NIM Game (NIM 게임에서 수학 영재의 필승전략에 대한 추론 사례)

  • Park, Dal-Won
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.405-422
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    • 2017
  • Nim games were divided into three stages : one file, two files and three files game, and inquiry activities were conducted for middle school mathematically gifted students. In the first stage, students easily found a winning strategy through deductive reasoning. In the second stage, students found a winning strategy with deductive reasoning or inductive reasoning, but found an error in inductive reasoning. In the third stage, no students found a winning strategy with deductive reasoning and errors were found in the induction reasoning process. It is found that the tendency to unconditionally generalize the pattern that is formed in the finite number of cases is the cause of the error. As a result of visually presenting the binary boxes to students, students were able to easily identify the pattern of victory and defeat, recognize the winning strategy through game activities, and some students could reach a stage of justifying the winning strategy.

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An Analysis on the Treatment of Axiom and Proof in Middle School Mathematics (중학교 기하에서의 공리와 증명의 취급에 대한 분석)

  • Lee, Ji-Hyun
    • Journal of Educational Research in Mathematics
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    • v.21 no.2
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    • pp.135-148
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    • 2011
  • Middle school mathematics treats axiom as mere fact verified by experiment or observation and doesn't mention it axiom. But axiom is very important to understand the difference between empirical verification and mathematical proof, intuitive geometry and deductive geometry, proof and nonproof. This study analysed textbooks and surveyed gifted students' conception of axiom. The results showed the problem and limitation of middle school mathematics on the treatment of axiom and proof.

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Mathematical Thinking Based on the Image in the 'Splitting a Tetrahedron' Tasks by the Mathematically Gifted (정사면체 분할 과제에서의 이미지에 기반 한 수학적 사고)

  • Han, Dae-Hee
    • School Mathematics
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    • v.12 no.4
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    • pp.563-584
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    • 2010
  • This study is aimed at analysing the mathematical thinking processes based on image by the mathematically gifted. For this, the 'Splitting a Tetrahedron' Task was used and mathematical thinking of the two middle school students were investigated. One of them deduced how many tetrahedral and octahedral were there when a tetrahedra was splitted by the surfaces which were parallel to each face of the tetrahedra without using any physical material. The other one solved the task using physical material and invented new images. A concrete image, indexical image and symbolic image were founded and the various roles of images could be confirmed.

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Application of Eye Tracker for Study on the Effect of Analytic Proof Learning of Gifted Students (수학영재 학생들의 분석적 증명 학습 효과 검증을 위한 시선추적기의 활용)

  • Jung, Kyung-Woo;Yun, Jong-Gug;Lee, Kwang Ho
    • Communications of Mathematical Education
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    • v.32 no.3
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    • pp.275-296
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    • 2018
  • The purpose of this study is to investigate the change of gaze and the change of the proof learning achievement after learning the analytic method for proof to mathematical gifted students using eye tracking technique. In order to complete the purpose of this study, a mixed method research was used, that is a combination of quantitative and qualitative research methods. Quantitative analysis was conducted based on the data obtained through the eye tracker, and qualitative analysis was also done using post interview data to make up for the quantitative analysis. The subjects of this study were 8 mathematical gifted 3rd grade middle school students in the gifted education center. The conclusions of this study are as follows. First, the learning of analysis leads to a change of gaze in the proof learning of students. The students, after learning the analysis, moved their gaze from the bottom to the top when solving the proof problem, and the occupancy rate of the gaze to the bottom of the proof was higher than the higher part. Second, the change of gaze caused by the learning of the analysis have a correlation with the achievement of the proof learning and it can be seen that the method learning improves the achievement of the proof learning of the students.

Groping of a New Evaluation Method using the Knowledge State Analysis in the Selective Examination of Scientifical Gifted (과학영재 선발시험에서 지식상태 분석법을 통한 새로운 평가 방법 모색)

  • Park, Sang-Tae;Byun, Du-Won;Yuk, Keun-Cheol;Jung, Jum-Soon
    • Journal of Gifted/Talented Education
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    • v.15 no.1
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    • pp.37-48
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    • 2005
  • Comparing to the other subject, the relationship among physics contents is strong from the perspective of knowledge order as grades go up. That is, The things already that students learned, are learning and will learn are closed related from grade to grade. We expect students to be proactive and creative in studying physics, which is the goal of 21th century, analyzing their knowledge structure based on the knowledge order through assessment. Especially, using computer system, we provide students with substantial feedback for the assessment as well as objective validity is increased along with speedy and exact process in a bid to help students' mathematical understanding grow. This paper seeks to analyze the data from assessment applying knowledge spaces of the scientifical gifted in selective examination and to applicate on development of evaluation method.

Analysis on the process in which middle school students represented and interpreted statistical data (통계 자료의 정리와 표현에서 중학생들의 기호화와 해석화 과정 분석)

  • 김선희;이종희
    • Journal of Educational Research in Mathematics
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    • v.13 no.4
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    • pp.463-483
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    • 2003
  • In the learning of mathematics, students experience the semiotic activities of representing and interpreting mathematical signs. We called these activities as the representing and interpreting of mathematical signs. On the foundation of Peirce's three elements of the sign, we analysed that students constructed the representamen to interpret the concept of correlation as for the object, "as one is taller, one's size of foot is larger" 4 middle school students who participated the gifted center in Seoul, arranged the statistical data, constructed their own representamen, and then learned the conventional signs as a result of the whole class discussion. In the process, students performed the detailed representing and interpreting of signs, depended on the templates of the known signs, and interpreted the process voluntarily. As the semiotic activities were taken place in this way, it was needed that mathematics teacher guided the representing and interpreting of mathematical signs so that the representation and the meaning of the sign were constructed each other, and that students endeavored to get the negotiation of the interpretants and the representamens, and to reach the conventional representing.

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Design of ESN(Educational Sensor Network) for interpretation of the data

  • Park, In-Deok;Paek, Seung-Eun;Kim, Si-Kyung
    • The Journal of Information Technology
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    • v.12 no.3
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    • pp.1-6
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    • 2009
  • This paper has focused on the development of an educational sensor network (ESN) based on wireless sensor networks(WSN) and pervasive monitoring systems for students' activity during scientific experiments. A number of WSN systems have been proposed with integrated wireless transmission, mounted sensor boards and local processing. However, there is no trail to employ WSN on the educational field. In this paper, to facilitate research and development using wireless sensor network and multi-sensor data fusion, the educational sensor network (ESN) hardware development platform is presented. The ESN project is conducted over one semester time period (Spring Semesters). It involves approximately twenty middle school students who enrolled a gifted program in Kongju National University. Though under prepared, these students are in general highly motivated to learning specially when presented with the ESN project. An ESN project such as this is expected to provide an excellent means for teaching and learning scientific and mathematical principles.

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A Development of the Test for Mathematical Creative Problem Solving Ability

  • Lee, Kang-Sup;Hwang, Dong jou;Seo, Jong-Jin
    • Research in Mathematical Education
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    • v.7 no.3
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    • pp.163-189
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    • 2003
  • The purpose of this study is to develop a test, which can be used in creative problem solving ability in mathematics of the mathematically gifted and the regular students. This test tool is composed of three categories; fluency (number of responses), flexibility (number of different kinds of responses), and originality (degree of uniqueness of responses) which are the factors of the creativity. After applying to 462 middle school students, this test was analyzed into item analysis. As a results of item analysis, it turned out to be meaningful (reliability: 0.80, validity: item 1(1.05), item 2(1.10), item 3(0.85), item 4(0.90), item 5(1.08), item difficulty: item 1(-0.22), item 2(-0.41), item 3(0.23), item 4(0.40), item 5(-0.01), item discriminating power: item 1(0.73), item 2(0.73), item 3(0.67), item 4(0.51), item 5(0.56), over the level of a standard basis. This means that the test tool was useful in the test process of creative problem solving ability in mathematics

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A case study on the development and practice of lessons for mathematics-oriented convergence through the professional development of multi-tiered teacher community (공동체단위의 연수를 통해 나타난 고등학교 수학 중심 융합수업의 개발 및 적용 사례)

  • Kwon, Oh Nam;Park, Jaehee;Oh, Kukhwan;Bae, Young Gon
    • The Mathematical Education
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    • v.53 no.3
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    • pp.357-381
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    • 2014
  • This study analyzed the cases of three teacher communities participating in an innovative professional development program and clarified the characteristics and the process of lessons for mathematics-oriented convergence that were developed and applied during the program. Each of the teacher communities designed and implemented lessons according to the context of each community and the concept of lessons for mathematics-oriented convergence were developed and refined. The lessons developed by the three teacher communities were characterized as convergence problem posing lessons using technology, convergence of various subject content focused on mathematical concepts through team teaching, and convergence lessons according to students' achievement levels. The program contributed to teacher community activities by proving sustainable professional development in the area of convergence education, a connection between the content of their professional development and the context of the field, and opportunities for active participation in the process of developing and implementing the convergence lessons.