• Title/Summary/Keyword: 수학영재교육과정

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Implementations of Mentorship Program Model for the Academic Creativities of Mathematics (수학 학문적 창의성 신장을 위한 멘토십 프로그램 모형 개발)

  • Bang, Seung-Jin;Choi, Jung-Oh
    • Journal of Gifted/Talented Education
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    • v.20 no.1
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    • pp.205-229
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    • 2010
  • The R&E(Research and Education) programs in Mathematics, which have the objects to give students mathematically creative experiences and enlarge creativities of the study of mathematics, could not give the experiences as creative researchers because of the following reasons: The students did not participate in the process of choosing the subjects, the evaluation of individual students actually did not existed, and the publications of mathematics papers have been excluded. In this paper, we study on the issues and some suggestions related to these R&E programs to obtain new R&E Model that gives a mathematically creative experience and enlarges creativities of the study of mathematics.

과학영재 선발과정의 분석 및 개선안 제안 - 과학영재교육원 학생 선발과정 중심으로 -

  • Gang, Hyeon-A;Jo, Gyu-Seong;Kim, Ja-Hong
    • 한국지구과학회:학술대회논문집
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    • 2005.02a
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    • pp.239-248
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    • 2005
  • 이 논문은 과학영재교육원의 학생 선발과정을 중심으로 과학영재아 판별과정을 분석해보고, 과학영재교육원의 학생 선발과정에서 발생할 수 있는 오류를 점검하여, 이를 보완할 수 있는 개선안을 마련하고자 하는데 목적을 두고 있다. 분석결과 과학, 수학과 관련된 창의적 문제의 지필평가 성적이 선발의 가장 중요한 기준이었다. 지필평가 단계에서 지망분야에 관계없이 과학, 수학 및 창의력검사를 모두 치러야 하는 교육원에 초점을 맞추어 그 점수 활용에 있어서 발생할 수 있는 오류를 점검하였다. A 교육원의 경우 학생 선발은 다단계 평가를 원칙으로 하고 있었으며, 1단계 지필평가에서 과학, 수학, 창의력검사라는 세 과목 시험의 합산점수로서 선발하고 있었다. 이 교육원의 ○○년도 중등과정 응시자 276명을 대상으로 합격자와 불합격자의 지필평가 점수를 분석하여 과학, 수학, 창의력검사의 시행에 오류가 없었는지 점검하였다. 또 이들의 합산에 의한 선발이 의미 있는 결과를 보이는지 분석하였다. 그 결과 과학, 수학, 창의력검사의 상관도분석에서 과학은 수학 및 창의력검사와 유의미한 상관이 있었으나, 수학과 창의력검사는 독립적으로 분석되었다. 또 이들의 합산에 지원분야별 배점으로 계산한 선발은 본래의 취지, 즉 과학, 수학, 창의력에서 모두 우수한 학생을 선발하고자 하는 의도대로 진행되었으나, 판별분석 결과 합격과 불합격자 판별에서 88.1%의 정확도를 보여 다소 오류가 있었음을 발견하였다. 이는 해당년도에 출제된 문제의 난이도 및 시험 과목별 평균점수 차를 고려하지 않아 발생하는 문제로 파악되어져 원점수 대신 표준점수로 변환하여 오류를 보완할 것을 제안한다. 자체와 직접 관련되는 영역으로는 좌반구의 측두엽과 전두엽 부분이 관찰되었다. 특히 한국어 어말어미 산출시 나타나는 형태점화 양상과 관련된 대뇌영역으로 발견된 브로카 영역에서의 활성화는 어미 변환과 관련된 영역이라기보다는 산출시 관련되는 articulation, motor coordinate관련 영역으로 추정되고, 측두엽의 활성화는 형태소, 의미 관련 지식의 data base로 추정된다. 또한 우반구 전두엽 부분에서 관찰된 활성화는 억제관련 영역으로 짐작된다.러한 동물실험이 그 기초를 제공해 줄 수 있을 것이다. 또한 행동성향 및 기억의 종류에 따른 약물효과의 차이는 기억과 관련된 질병인 알츠하이머 환자에 있어 개개인에게 맞는 적절한 특징적인 치료약물이 존재할 것이라는 가능성을 제공해줄 뿐만 아니라 학습과 기억력 증진 효과를 기대해 볼 수 있을 것이라고 생각된다. 및 지역산업발전의 기획${\sim}$조정기구로서, 선진국의 지역발전기구(Regional Development Agency : RDA)인 지역전략산업기획단이 2002년도부터 산업자원부와 9개 시도에 의해 설립되어 지역네트워크의 활성화와 클러스터의 형성 촉진을 하게 되었고 2004년도에는 13개시도로 확대${\sim}$운영되고 있고, 지역특화사업(H/W)과 지역산업기술개발과제(S/W)와 함께 패케지 형태로 지원되며, 주요역할은 크게 지역산업의 정책기획 분야와 평가관리, 지역혁신역량 조사 및 DB구축 등으로 구분된다. 그중에서도 권역별, 지역별, 지역산업진흥사업 육성과 중장기 산업발전계획을 수립하기 위하여 지역혁신역량을 바탕으로 한 지역 Technol

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Mathematics Education for the Gifted Students and Moscow State University

  • Kombarov, Anatoly
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2007.02a
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    • pp.11-17
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    • 2007
  • 수학교육의 효율적인 체계가 없는 나라는 미래가 없는 나라이다. 1957년에 소련은 지구에 인공위성을 쏘아 올렸는데, 이때 미국은 우선 학교 교육체계를 바꾸었으며, 교사들의 봉급을 획기적으로 인상하였다. 지금 러시아의 학계에서는, 우주 계발에서 러시아의 성공을 레닌 언덕에 있는 모스크바국립대학교의 새 건물의 설립으로 설명하려는 의견도 있다. 최근에 모스크바국립대학교 새 건물의 설립 비용에 대한 문서가 공개되었는데, 놀랍게도 모스크바국립대학교의 설립 비용이 2차 대전 중에 완전히 파괴된 도시인 스탈린그라드의 재건에 소용된 비용보다 훨씬 많았다. 전쟁으로 굶주리고 파괴된 나라인 러시아의 지도자들이 그렇게 많은 재정적인 지출을 결정했다. 그 결과, 공학-수학부와 물리학부에서는 이전보다 3배가 많은 학생들을 수용하게 되었다. 이들 학부의 박사과정 학생들은 높은 월급을 받는 교수가 되었다. 공학-수학부의 거의 모든 졸업생들은 비밀연구소에서 일을 하였다. 이것은 러시아의 역사에서 수학 영재아의 발굴과 수학교육 체계의 향상이 국가경쟁력의 중요한 부분임을 보여주는 한 예라 할 수 있다. 현재, 러시아에서는 이들 문제에 많은 관심을 가지고 있지만, 아직은 구체적인 해결보다는 말만 무성한 실정이다. 본 강연에서는 러시아의 수학영재교육에서 모스크바국립대학교 구성원들의 노력과 결실, 모스크바국립대학교의 공학-수학부의 교육에 대한 몇몇 논의를 다룰 것이다.

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Aspects of Meta-affect in Problem-Solving Process of Mathematically Gifted Children (수학 영재아의 문제해결 과정에 나타나는 메타정의의 특성)

  • Do, Joowon;Paik, Suckyoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.59-74
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    • 2019
  • According to previous studies, it shows that the metacognitive ability that makes the positive element of the problem solver positively affects the problem-solving process of mathematics. In order to accurately grasp causality, this study investigates the specific characteristics of the meta-affect factor in the process of problem-solving. To do this, we analyzed the types and frequency of data collected from collaborative problem-solving situations composed of 4th~6th grade mathematically gifted children in small group of two. As a result, it can be seen that the type of meta-affect in the problem-solving process of mathematically gifted children is related to the correctness rate of the problem. First, regardless of the success or failure of the problem-solving, the meta-affect appeared relatively frequently in the meta-affect types in which the cognitive factors related to the context of problem-solving appeared first, and acted as the meta-functional type of the evaluation and attitude. Especially, in the case of successful problem-solving of mathematically gifted children, meta-affect showed a very active function as meta-functional type of evaluation.

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A Study on Administration and Teaching of R&E in Korea Science Academy - Laying Stress on Mathematics Project Na7 - (한국과학영재학교의 R&E 운영 및 지도에 대한 연구 -2005년 수학 No.7 과제를 중심으로-)

  • Han In-Ki
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.19-32
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    • 2006
  • We study on administration system and teaching of R &E(Research and Education) in Korea Science Academy(KSA) laying stress on Mathematics project No.7. We analyze in detail administration system of R&E in KSA(for example, aim, human constitution, practical execution), and draw some meaningful suggestions in order to receive successful results in R&E of KSA. And we describe mathematical topics, problems, and results which are received by students of KSA in the process of R&E(project No.7).

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Mathematical Elaboration Process of the Elementary Gifted Children's Board Game Re-creation in Group Project (모둠별 게임 변형을 통한 초등수학영재들의 수학적 정교화 과정 분석)

  • Sung, Ye Won;Song, Sang Hun
    • School Mathematics
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    • v.15 no.3
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    • pp.619-632
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    • 2013
  • One area where research is especially needed is their elaboration process and how they elaborate their idea as a group in a mathematical board game re-creation project. In this research, this process was named 'Mathematical Elaboration Process'. The purpose of this research is to understand how the gifted children elaborate their idea in a small group, and which idea can be chosen for a new board game when they are exposed to a project for making new mathematical board games using the what-if-not strategy. One of the gifted children's classes was chosen in which there were twenty students, and the class was composed of four groups in an elementary school in Korea. The researcher presented a series of re-creation game projects to them during the course of five weeks. To interpret their process of elaborating, the communication of the gifted students was recorded and transcribed. Students' elaboration processes were constructed through the interaction of both the mathematical route and the non-mathematical route. In the mathematical route, there were three routes; favorable thoughts, unfavorable thoughts and a neutral route. Favorable thoughts was concluded as 'Accepting', unfavorable thoughts resulted in 'Rejecting', and finally, the neutral route lead to a 'non-mathematical route'. Mainly, in a mathematical route, the reason of accepting the rule was mathematical thinking and logical reasons. The gifted children also show four categorized non-mathematical reactions when they re-created a mathematical board game; Inconsistency, Liking, Social Proof and Authority.

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A Study on the mathematics AS program (수학과 AP(Advanced Placement) 결과 분석 및 교육과정 연구 - 2005학년도 교육인적자원부 지원 AP제도를 중심으로 -)

  • Bang Seung-Jin;Choi Jung-Oh
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.103-115
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    • 2006
  • We integrated and utilized the currently existing international AP(Advanced Placement) program in mathematics. In 2005, the KMEHRD(Korean Ministry of Education and Human Resources Development) began the mathematics AP program; we attempt to maximize its effectiveness through continuous development. In boosting educational excellence, our AP program will affect the intellectual desire and enhance the performance of mathematically gifted leaners. This program assists high school students to achieve their fullest potential.

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The Relationship between Mathematically Gifted Elementary Students' Math Creative Problem Solving Ability and Metacognition (초등수학영재의 수학 창의적 문제해결력과 메타인지와의 관계)

  • Shin, Seung Yoon;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.17 no.2
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    • pp.95-111
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    • 2014
  • The purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.

A Study on the Linear Function using Graphing Calculator and CBL - A Case Study Focused on Mathematics Education for the Gifted - (그래핑 계산기와 CBL을 활용한 1차 함수 탐구 - 초등 영재아를 중심으로 한 사례연구 -)

  • Lee, Heon-Soo;Park, Jong-Youll;Lee, Kwang-Ho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.347-364
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    • 2009
  • In this paper, the researchers investigated the influence of graphing calculator in learning the concept of linear function for the gifted students. Elementary students who were taking a course in enrichment mathematics at Science Education Institute for the Gifted in Mokpo National University were selected for this study. The researchers analyzed students' processes of mathematical inference and conjecture, and students' algebraic description. We found the facts that the visualization using a graphing calculator and CBL is helpful to the gifted students in understanding concepts of liner function, finding the relationship between variables, analyzing and presupposing of graph. But, using graphing calculator can be a factor that disturbs learning of students who have too much of curiosity on graphing calculator.

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An Analysis of Research Trend in Domestic Mathematics Gifted Education (수학영재교육 관련 국내 연구 동향 분석)

  • Min, Kyung-A;Yoo, Mi-Hyun;Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.389-413
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    • 2011
  • This study had suggested the direction and implications of mathematics education for the gifted student by looking into domestic research trends in relation with mathematics education for the talented children from 2000 to 2010. 168 theses were analyzed by researching theses about mathematics education for the talented children and the total 10 kinds of special journals that are registered or to be registered at National Research Foundation of Korea in order to find a research trend about mathematics education for the talented children. As a result of analyzing theses of each year, the number of theses on mathematics education for the talented children has been increasing largely since2004 and it is steadily being conducted until now. As a result of analyzing theses for each research theme, frequency was shown in order of development research about educational course program for mathematics education for the talented children and research on characteristics of the talented children. For analysis result of research target, research targeting elementary school students has taken great importance. For the aspect of research methods, research about development of program and research tool was used in theses and qualitative research method was mainly used in journals and therefore a direction of mathematics education for the talented children was discussed according to this.

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