“数学史融入”的数学教学探析

Analysis of Mathematics Teaching of “the Integration of Mathematics History”

中文关键词:  数学史；七巧板；HPM；出入相补；数形结合；分类讨论

英文关键词:history of mathematics, jigsaw puzzle, HPM, the Out-in Complementary Principle, combination of numbers and shapes, classified discussion

中文摘要:

      七巧板是中国人很早就发明出来的一种益智游戏，它巧妙地将几何图形融入游戏中，体现了中国古人的智慧。将数学史融入数学教学，让学生通过对七巧板数学史知识的重构，了解“七巧板拼图”体现的古人“出入相补”“数形结合”的思想，并且融入“分类讨论”的方法，使得“七巧板”中的教学手段更加丰富，更加具有数学的味道——“巧中生变，巧中取智”。

英文摘要:

      Jigsaw puzzle is a kind of intellectual benefit game invented by Chinese people a long time ago. It skillfully integrates geometry into the game and embodies the wisdom of ancient Chinese. By integrating the history of mathematics into mathematics teaching, students can reconstruct the knowledge of the history of mathematics of “jigsaw puzzle” and solve the puzzle problem of “jigsaw puzzle”, which is not only a variety of interesting puzzles, but also the ancient people’s thought of “the Out-in Complementary Principle ”, “combining the number with the shape” and the method of “classified discussion”. It makes the mathematics teaching in “jigsaw puzzle” more interesting, and shows the nature of mathematics——“Using intelligence to tackle the constant change in jigsaw”.