• Journal of Elementary Mathematics Education in Korea
• /
• v.24 no.1
• /
• pp.169-186
• /
• 2020

The purpose of this study is to find new material for developing teaching and learning materials for the gifted class of elementary school students by using the rotatable tangram made by modifying the traditional tangram. Rotatable tangram can be justified by gifted students through mathematical communication. However, even gifted class students have some limitations in finding and justifying triangles and rectangles of all sizes unless they go through the 'symbolization' stage at the elementary school level. Therefore, students who need an inquiry process for letters and symbols need to provide supplementary learning materials and additional questions. It is expected that the material of rotatable tangram for the development of teaching and learning materials for elementary school gifted students will contribute to the development of mathematical reasoning and mathematical communication ability.

• Journal for History of Mathematics
• /
• v.21 no.4
• /
• pp.169-182
• /
• 2008

This study has been searching for reasoning process solving the problem effectively in activities related to meaningful classification of pieces and geometric properties with tangram. In activities using some pieces of tangram, we systematically came up with every solution in classifying properties of pieces and combining selected pieces. It is very difficult for regular students to do this tangram. In order to solve this problem effectively, we need to show that there are activities using the idea acquired in reasoning process. Through this process, we do not simply use tangram to understand he concept and play for interest but to use it more meaningfully. And the best solution an not be found by a process of trial and error but must be given by experience to look or it systematically and methods to reason it logically.

• Journal of Elementary Mathematics Education in Korea
• /
• v.19 no.4
• /
• pp.589-608
• /
• 2015

The inquiry subject of this paper is the number of convex polygons one can form by attaching the seven pieces of a tangram. This was identified by two mathematical proofs. One is by using Pick's Theorem and the other is 和々草's method, but they are difficult for elementary students because they are part of the middle school curriculum. This paper suggests new methods, by using unit area and the minimum area which can be applied at the elementary level. Development of programs for the mathematically gifted elementary students can be composed of 4 class times to see if they can prove it by using new methods. Five mathematically gifted 5th grade students, who belonged to the gifted class in an elementary school participated in this program. The research results showed that the students can justify the number of convex polygons by attaching edgewise seven pieces of tangrams.

• Communications of Mathematical Education
• /
• v.23 no.1
• /
• pp.39-51
• /
• 2009

The purpose of this article is to study characteristics of tangram as instructional media in combinatorialgeometric point of view, and to present basic materials and direction for efficient tangram activities in gifted education upon systematical analysis of methods of finding solutions. We can apply x=a+2b+4c to find all possible combination of solutions in tangram activities not as trial-and-error method but as analytical method. Through teacher's questions and problem posing in activities using tangram, we systematically came up with most solution and case of all possible combinations be solution in classifying properties of pieces and combining selected pieces.

• Journal of Educational Research in Mathematics
• /
• v.18 no.3
• /
• pp.391-405
• /
• 2008

There are some studies on tangram a kind of jigsaw(silhouette or dissection) puzzle. And Korean national curriculums mention about tangram. But the past studies and the textbooks are not so related to curriculums. So this study is focused on some problems and limitations of tangram activities related to curriculum. This study gives some educational suggestions using tangram: (1) alternate drawing of tangram (2) making mathematical figures instead of shapes (3) proper activities related to the national curriculum (especially, polygons and angles) and mathematical thinking (4) examples of exploring mathematical figures and angles coming in and out of national curriculum In addition to, this study suggests some mathematical activities of using similar tangrams (especially sphinx puzzle).

• Journal of Educational Research in Mathematics
• /
• v.17 no.3
• /
• pp.221-232
• /
• 2007

In school mathematics, activities to make particular convex polygons by attaching edgewise some pieces of tangram are introduced. This paper focus on deepening these activities. In this paper, by using Pick's Theorem and 和 草's method, all the convex polygons by attaching edgewise seven pieces of tangram, Sei Shonagon(淸少納言)'s tangram, and Pythagoras puzzle are found out respectively. By using Pick's Theorem to the square seven-piece puzzles satisfying conditions of the length of edge, it is showed that the number of convex polygons by attaching edgewise seven pieces of them can not exceed 20. And same result is obtained by generalizing 和 草's method. The number of convex polygons by attaching edgewise seven pieces of tangram, Sei Shonagon's tangram, and Pythagoras puzzle are 13, 16, and 12 respectively.

• Archives of design research
• /
• v.14 no.4
• /
• pp.117-126
• /
• 2001

A new functional meaning has been given as natural resource to bamboo through reanalysis. Bamboo products contributed to creating added-value of pro-environment. In this study, a potential efficiency and vision of bamboo products and crafts are presented. As bamboo plywood and bamboo decorating paper were developed followed by academic and technological support, an activation of markets has been pursued and bamboo pattern tiles for new furniture was developed. This study examined kinds and characteristics of bamboo and processing of raw material and how to express with the material. Through advanced technology, it identified traditional functions and technological mistakes and analysed domestic and overseas applications to enhance utility of plywood made of bamboo. Bamboo pattern tiles were developed for decorating of furniture doors based on bamboo pattern paper. For patterns, 'tortoise, cranes, and deer'meaning eternity and new millenium among Ten Korean Longevity Animals are simply and lively represented. Series of the sun and mountain use effects of bamboo pieces to present bright images and to maximize quality of bamboo. A pattern of '卍'incorporates mystery of the cosmos and meaning of temples together with traditional patched wrapping cloth, Arirang and Chilgyopannori for beautiful ornamentation. Bamboo decorating tiles are made through accumulation of technologies by a cooperation with industries of bamboo equipment and production of furniture in Damyang Bamboo Products Complex. Processing of raw materials is peformed with equipment of Damyang. Development of samples and production and delivery of bamboo goods are handled in Design Venture of Chosun University Chamber. Developed goods decorating doors of furniture are in sale by an order from furniture industries.