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有些初二学生在计算方面存在的问题是比较严重的,他们在解题中既不善于运用基本公式、法则,进行合理运算,也不善于选择简捷的计算方法迅速得出正确答案。如有的学生在计算(3~(1/2)-2~(1/2))~2(3~(1/2)+2~(1/2))~2时,不会应用平方差的公式。在解方程组4x~2+4xy+y~2=49 xy=6时却不加思索的用代入法去解,这种例子很多。这些问题的存在,一方面影响课堂教学的顺利进行,使教师在讲解新课和演算例题时,不得不在这方面多花时间;另一方面也影响学生完成课外作业的速度,造成负担过重。所以提高学生的计算能力就成为提高数学教学质量和减轻学生负担的一个重要环节,也是数学教学中一个值得重视和探讨的问题。现就个人在初二代数(即一九八三年部编版本第三册)教学中的一些做法,提出来供参考和批评。
Some junior high school students have serious problems in their calculations. They are not good at applying basic formulas and rules and doing reasonable calculations. They are also not good at choosing simple calculation methods to quickly obtain correct answers. If some students do not apply squares when calculating (3~(1/2)-2~(1/2))~2(3~(1/2)+2~(1/2))~2 Poor formula. When solving the equation set 4x~2+4xy+y~2=49xy=6, it is solved by substitution method without thought. There are many examples. The existence of these problems, on the one hand affect the smooth implementation of classroom teaching, so that teachers in the interpretation of new lessons and calculus examples, they have to spend more time in this area; the other hand, also affect the students to complete the speed of extracurricular activities, causing excessive burden. Therefore, improving the student’s computing ability becomes an important link to improve the quality of mathematics teaching and reduce the burden on students. It is also a problem worthy of attention and discussion in mathematics teaching. Now, some of the personal teaching methods in the second-generation algebra (ie, the third edition of the 1983 edition) are proposed for reference and criticism.