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数学公式是学生解题的重要依据和工具,但学生在运用公式时常常发生乱套、错用公式的现象。为了加强对学生运用公式能力的培养,我在要求学生理解公式意义的基础上,注意从以下五个方面加以训练。 1、可逆性数学公式以等号形式出现,学生在运用时仅习惯于自左至右的顺用,忽视逆用,在教学中必须重视培养学生顺逆并重运用公式的能力。例如对组合性质公式C_m~n+C_m~(n-1)=C_(m+1)~n,教师必须强调“一分二”与“二合一”的可逆性。 2、变换性一个数学公式含有几个不同的量,如果已知其中若干个量要求其他的量,就必须将公式变换。例如在等差数列和等比数列中,归纳起来
Mathematical formula is an important basis for students to solve problems and tools, but students often use the formula when the disorder, the wrong formula phenomenon. In order to strengthen students' ability to formulate formulas, I have asked students to understand the meaning of formulas based on the following five aspects of training. 1, the reversible mathematical formula appears as an equal sign, the students are only accustomed to the use of left to right with the use, neglect the reverse use, teaching must pay attention to the ability of students to adapt and re-use the formula. For example, the combination of the formula C_m ~ n + C_m ~ (n-1) = C_ (m + 1) ~ n, teachers must emphasize the “one in two” and “combo” of the reversibility. Transformable A mathematical formula contains several different quantities, and if one of them is known to require some other quantity, the formula must be transformed. For example, in arithmetic series and geometric series, summed up