Tangram is a traditional intellectual game in China and an ancient jigsaw puzzle in China. It evolved from the banquet in the Song Dynasty, initially as an indoor game for literati, and later evolved into a folk jigsaw puzzle. Some important geometric relations can be clarified by using puzzles, and its principle is the "complementary access principle" in ancient arithmetic.
Complementarity of product in and out is a basic principle of China's ancient mathematics to deduce the area or volume of geometric figures. The principle of in-out complementarity is often applied to integer operation and area operation of plane geometry in primary schools.
The meaning of the principle of complementary entry and exit: a plane figure moves from one place to another, and its area remains unchanged. If the graph is divided into several blocks, and the sum of the areas of each part is equal to the area of the original graph, then the sum and difference of the areas before and after the displacement of the graph have a simple equal relationship. The same is true for three dimensions.
Related applications of jigsaw puzzles
Tangram consists of seven boards. And these seven boards can be put together into many figures (more than 1000 kinds). Tangram is a good partner to inspire children's intelligence, both ancient and modern. It can connect children with the bridge between object and form, cultivate children's observation, imagination, morphological analysis and creative logic, and has great development space.
In real life, use jigsaw puzzles to solve or prove mathematical problems. Tangram can be put together in different ways to form various geometric figures and images, such as bridges, boats, houses, pistols or people running, falling, playing, dancing and standing, as well as fish, cats and dogs.
The operation of jigsaw puzzle is a divergent thinking activity, which is conducive to cultivating people's observation, attention, imagination and creativity. Therefore, it not only has entertainment value, but also has certain educational value, and has been applied to teaching.