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我系本屆(1955年教育实習)实習生試教中,關於“數的開平方”运用了幾何解釋与代數推理相結合的方法,試教結果証明:运用这种方法比之於运用純幾何或純代數推理更能使学生理解並掌握數的開平方的法則(數的開平方的幾何解釋是根据苏联伯拉基斯著中学數学教学法中提示的)。此外关於誤差小於1/10,1/100,…的近似极的概念及小數開平方的講法也有一些收穫,現在一併介紹於下。 1.100以上10000以下數的開平方 (1) 預备知識: (a)求某数平方根的幾何意义就是求面積等于某數(平方單位)的正方形的边長。 (b)三位數、四位數的平方根必定是一个兩位數。
In my trial (Internship of Education in 1955), the interns used a combination of geometric interpretation and algebraic reasoning. The result of the trial teaching proved that this method is better than using pure geometry. Or pure algebraic reasoning can make students understand and master the law of open squares of numbers (the geometric interpretation of the squares of numbers is based on the teachings of Middle School mathematics taught by Bernakis in the Soviet Union). In addition, the concept of approximate poles with error less than 1/10, 1/100,..., and the teaching of decimal squares have some gains, which are now described in the next section. 1.100 or more than 10,000 open squares (1) Preliminary knowledge: (a) The geometric meaning of finding the square root of a certain number is to find the length of a square whose area is equal to a certain number (squared). (b) The square root of a three-digit, four-digit number must be a two-digit number.