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在中学代数教学中,不仅要传授基础知识,而且更重要的是,要培养学生思维的独创性。所谓思维的独创性,即善于探求新的途径和寻找新的方法去解决问题,提出自己独到的见解。下面,我们就从几个方面来谈谈这个问题。一、重视和加强对学生求异思维能力的训练和培养。培养学生思维的独创性,必须重视对学生求异思维能力的训练。求异思维,即学习者从不同的角度和从不同的方面,探索问题的多种解法。适当的正确的解法愈多愈好。我们知道,许多代数习题都有多种解法,而这正是作为求异思维训练的极好材料。例如,方程组x~2+y~2=5;(1)xy=2(2)至少有六种不同的解法。
Algebra teaching in secondary schools, not only to teach basic knowledge, but more importantly, to cultivate students' ingenuity of thinking. The so-called original thinking, that is good at exploring new avenues and finding new ways to solve the problem, put forward their own unique insights. Below, we talk about this issue from several aspects. First, pay attention to and strengthen students' ability of thinking and thinking training and training. In order to cultivate the originality of students 'thinking, we must attach importance to the training of students' ability of thinking differently. Differences in thinking, that is, learners from different angles and from different aspects, to explore a variety of solutions to the problem. The more appropriate the correct solution, the better. We know that there are many solutions to many algebra problems, which is an excellent material to train as a different mindset. For example, the system of equations x ~ 2 + y ~ 2 = 5; (1) xy = 2 (2) There are at least six different solutions.