Girih 타일링을 이용한 초등수학영재 프로그램 개발 및 적용 연구

서지정보

· 발행기관 : 한국영재학회
· 수록지 정보 : 영재교육연구 / 22권 / 3호
· 저자명 : 박혜정, 조영미

목차

I. 서 론
II. 이슬람 문양과 girih 타일
III. girih 타일링을 활용한 프로그램 개발
IV. 현장 적용 및 결과 분석
V. 제 언
참고문헌
= Abstract =

초록

girih 타일링은 비주기적이면서도 규칙적인 구조를 가진 타일링으로, 최근 ‘이슬람 사원 장식
에 숨어있는 수학의 비밀’로 주목받고 있다. 본 연구에서는 이를 소재로 하여 비주기적인 규
칙성 안에 숨어 있는 수학이 만들어내는 유용성과 아름다움을 체험할 수 있는 초등 수학영재
프로그램을 개발 ․ 적용하고 그 결과를 분석하는 데 목적을 두었다. 개발한 초등수학영재 프로
그램은 ‘이슬람 문양 속 girih의 비밀을 찾아서’이며, Renzulli의 3부 심화학습 형식에 따라 적
용하였다. 이 프로그램은 대전광역시 유성구에 소재하고 있는 D 초등학교 5, 6학년 통합영재
반 6명에게 적용한 결과를 토대로 수정, 보완 하였으며 개발된 프로그램 및 학습 자료는 초등
수학영재 교육을 위한 소재 개발과 방법에 있어 도움이 될 것으로 기대한다.

영어초록

The purpose of this study is to develop a new program for elementary math-gifted students
by using 'Girih Tililng' and apply it to the elementary students to improve their math-ability.
Girih Tililng is well known for ‘the secrets of mathematics hidden in Mosque decoration’
with lots of recent attention from the world. The process of this study is as follows;
(1) Reference research has been done for various tiling theories and the theories
have been utilized for making this study applicable.
(2) The characteristic features of Mosque tiles and their basic structures have been
analyzed. After logical examination of the patterns, their mathematic attributes
have been found out.
(3) After development of Girih tiling program, the program has been applied to
math-gifted students and the program has been modified and complemented.
This program which has been developed for math-gifted students is called ‘Exploring
the Secrets of Girih Hidden in Mosque Patterns’. The program was based on the
Renzulli’s three-part in-depth learning.
The first part of the in-depth learning activity, as a research stage, is designed to
examine Islamic patterns in various ways and get the gifted students to understand
and have them motivated to learn the concept of the tiling, understanding the
characteristics of Islamic patterns, investigating Islamic design, and experiencing the
Girih tiles.
The second part of the in-depth learning activity, as a discovery stage, is focused on
investigating the mathematical features of the Girih tile, comparing Girih tiled patterns
with non-Girih tiled ones, investigating the mathematical characteristics of the five
Girih tiles, and filling out the blank of Islamic patterns.
The third part of the in-depth learning activity, as an inquiry or a creative stage, is
planned to show the students' mathematical creativity by thinking over different types
of Girih tiling, making the students' own tile patterns, presenting artifacts and
reflecting over production process.
This program was applied to 6 students who were enrolled in an unified(math and
science) gifted class of D elementary school in Daejeon. After analyzing the results
produced by its application, the program was modified and complemented repeatedly.
It is expected that this program and its materials used in this study will guide a
direction of how to develop methodical materials for math-gifted education in
elementary schools.
This program is originally developed for gifted education in elementary schools, but for
further study, it is hoped that this study and the program will be also utilized in the
field of math-gifted or unified gifted education in secondary schools in connection
with 'Penrose Tiling' or material of 'quasi-crystal'.

참고자료

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