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Proving the Pythagorean Theorem to Junior High School students through the Asian method

机译:通过亚洲方法证明毕业高中学生的毕达哥拉斯定理

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The development of right triangle concept has been known since ancient Egypt and is still be used in daily life until now. One of the most popular theorems that relate to the right triangle is Pythagorean Theorem. In its development, the Pythagorean Theorem has been proven by mathematicians with different methods. Based on historical developments there are approximately 200 proofs of the Pythagorean Theorem that has been found. Nevertheless, history still has interesting mysteries to study especially for the development of the Pythagorean Theorem in Asia. In student textbooks, the proof of Pythagorean Theorem introduction often comes from the European continent such as proof by Pythagoras, Euclid, and Leonardo Da Vinci. This caused Pythagorean Theorem' development in Asia as if it were excluded, the proof of Pythagorean Theorem in Asia also developed by mathematicians such as Bhaskara and Zhao Shang with different names. Even so, the discussion of those Pythagorean Theorem proof can be introduced to students as an initial concept in Pythagorean Theorem chapter and presented pleasantly in the form of mathematics historical comic to make it more attractive. The discussion result in this journal is also in line with the 2013 curriculum which emphasizes student activity and fun learning model.
机译:自古埃及以来,右三角概念的发展是已知的,仍然在日常生活中使用。与右侧三角形有关的最受欢迎的定理之一是Pythagorean定理。在发展中,毕达哥拉斯定理已经被数学家通过不同方法证明。基于历史发展,已发现大约有200个毕达哥拉斯定理的证明。尽管如此,历史仍然有一个有趣的奥秘学习,特别是在亚洲毕达哥拉斯定理的发展。在学生教科书中,毕达哥拉斯定理介绍的证据通常来自古老的大陆,如毕达哥拉斯,欧几里德和莱昂纳多达芬奇的证据。这导致亚洲毕晓哥的理论在亚洲的发展似乎被排除在外,亚洲毕达哥拉斯定理的证据也由伯克拉和赵尚等数学家开发出不同的名称。即便如此,可以将这些毕达哥仑定理证明的讨论作为毕达哥拉斯定理章节中的初始概念引入,并以数学历史漫画的形式愉快地呈现,使其更具吸引力。本期刊的讨论结果也符合2013年课程,这些课程强调了学生活动和有趣的学习模型。

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