LOGO를 이용한 프로젝트 학습에서 나타난 초등 수학영재 학생들의 전략적 사고 = The Strategic Thinking of Mathematically Gifted Elementary Students in LOGO Project Learning

다국어 초록 (Multilingual Abstract)

The purpose of this study is to suggest a new direction in using LOGO as a gifted education program and to seek an effective approach for LOGO teaching and learning, by analyzing the strategic thinking of mathematically gifted ele- mentary students.
This research is exploratory and inquisitive qualitative inquiry, involving observations and analyses of the LOGO Project learning process. Four elementary students were selected and over 12 periods utilizing LOGO programming, data were collected, including screen captures from real learning situations, audio recordings, obser- vation data from lessons involving experiments, and interviews with students.
The findings from this research are as follows:First, in LOGO Project Learning, the mathe- matically gifted elementary students were found to utilize such strategic ways of thinking as inferential thinking in use of prior knowledge and thinking procedures, generalization in use of variables, integrated thinking in use of the integration of various commands, critical thinking involving evaluation of prior commands for problem-solving, progressive thinking involving understanding, and applying the current situation with new viewpoints, and flexible thinking involving the devising of various problem solving skills.
Second, the students' debugging in LOGO programming included comparing and constra- sting grammatical information of commands, graphic and procedures according to progra- mming types and students' abilities, analytical thinking by breaking down procedures, geo- metry-analysis reasoning involving analyzing diagrams with errors, visualizing diagrams drawn following procedures, and the empirical reasoning on the relationships between the whole and specifics.
In conclusion, the LOGO Project Learning was found to be a program for gifted students set apart from other programs, and an effective way to promote gifted students' higher-level thinking abilities.

국문 초록 (Abstract)

본 연구의 목적은 LOGO를 이용한 프로젝트 학습에서 나타난 초등 수학영재 학생들의 전략적 사고 유형을 분석하여 LOGO 학습과 고등 사고 활동과의 연관성을 구체적으로 밝힘으로써 영재교육 프로그램으로서 LOGO 활용에 대한 새로운 방향을 제시하고 LOGO 교수-학습의 효과적인 접근 방안을 모색하는데 있다. LOGO 프로그래밍을 계획하는 과정에서는 기존의 지식과 절차를 활용하는 유추적 사고, 변수를 이용한 일반화, 여러 가지 명령어의 기능을 통합하여 활용하는 통합적 사고, 문제 해결을 위해 기존 명령어를 평가하는 비판적 사고, 현재의 상황을 새로운 관점에서 이해하고 응용하는 발전적 사고, 여러 가지 해결 방법을 구상하는 유연한 사고 등의 전략적 사고가 관찰되었다. 오류 수정 과정에서 나타난 전략은 명령어의 문법적인 지식, 그림과 절차를 대조하는 방법, 절차를 분해하는 분석적 사고, 도형-분석적 추론, 시각적 추론, 경험적 추론 등이 나타났다.

참고문헌 (Reference)

• 1 Jennifer, M., "질적 연구방법론" 나남 1999
• 2 김연화, "중학교 과학수업에서 프로젝트 프로그램 적용이 학생들의 문제해결력과 과학에 대한 태도 및 흥미에 미치는 영향" 이화여자대학교 2009
• 3 이해명, "영재교육과정 개발과 과제" 1 (1): 91-124, 2002
• 4 강병련, "대학부설 과학영재교육원 초등수학 교육과정 분석" 한국수학교육학회 2008 (2008): 13-26, 2008
• 5 한기순, "국내 영재교육 프로그램의 현황과 과제" 한국영재교육학회 5 (5): 114-135, 2006
• 6 Kilpatrick, W. H., "The project method" Columbia University 1918
• 7 Sheffield, L. J., "The development of gifted talented mathematics students and the National Council of Teachers of Mathematics Standards" The National Research Center on Gifted and Talented, University of Connecticut 1994
• 8 Make, C., "Teaching models in education of the gifted" TX: Pro-Ed 1995
• 9 Papert, S., "Situating constructionism. in: Constructionism" Ablex 1991
• 10 Bishop, A., "Review of research on visuali- zation in mathematics education" 11 (11): 7-16, 1989
• 11 Stepien, W., "Problem-based learning: As authentic as it gets" 51 : 25-28, 1993
• 12 Blumentfeld, P., "Motiva- ting project-based learning: Sustaining the doing, supporting the learning" 26 (26): 369-398, 1991
• 13 Clements, D., "Learning and teaching geometry with computers in the elementary and middle school. in: Research on technology and the teaching and learning of mathematics: Vol. 1. Research syntheses" Information Age 109-154, 2008
• 14 Swan, K., "LOGO programming and the teaching and learning of problem solving" Columbia University 1989
• 15 Doppelt, Y., "Implementing and assessing project-based in a flexible environment" 13 : 255-272, 2003
• 16 Greenes, C., "Identifying the gifted student in mathematics" 28 : 14-18, 1981
• 17 McKim, R., "Experiences in visual think- ing(2nd. ed)" PWS Engineering 1980
• 18 Clements, D., "Effects of computer programming on young children's cognition" 76 (76): 105-158, 1984
• 19 Samara, J., "Designing effective middle school units(Eds.)" Illinois Association for Gifted Children 1992
• 20 VanTassel-Baska, J., "Comprehensive curriculum for gifted learners.(Ed.)" Allyn & Bacon 1994
• 21 Keller, J. K., "Characteristics of LOGO instruction promoting transfer of learning: A research review" 23 (23): 55-71, 1990
• 22 John, W. T., "A review of research on project-based learning"
• 23 Laffey, J., "A computer-mediated support system for project-based learning" 46 (46): 73-86, 1998