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算理是计算的理论依据,其内涵包括数和运算的意义、运算的规律和性质,解决的是为什么这样算的问题。算法是计算的方法,解决的是怎样算的问题,是一种经过压缩的、一般化的计算程序。学生对算法的兴趣远远胜过算理,因为算法可以直接得到结果。郑毓信教授的调查也印证了这一点:“面对一个新的问题,学生的心理总是满足于用某种方法求得具体的解答而往往不会去进一步追究相应的解释,更不会去思考是否存在不同的解法,以及是否可能对所获得的结果作出进一步的推广。因此,我们不能选择先教算法,那种希望让学生先知道算法,以后慢慢地明白其道理的愿望只是一厢情愿而已,希望通过不讲算理的强化训练,以此来发展学生思维,减轻学生负担的目标也是不可能实现的。本文试
Computation is the theoretical basis of calculation. Its connotation includes the significance of numbers and operations, the laws and properties of operations, and the solution to the problem of why it is so. The algorithm is a computational method that solves the problem of what to do with, is a compressed, generalized computational program. Students are far more interested in algorithms than in algorithms, because algorithms can get results directly. Zheng Yuxin's survey also confirms this point: ”Faced with a new problem, the student's psychology is always satisfied with a certain way to get a specific answer and often will not go further for the appropriate explanation, but will not go Think about whether there are different solutions, and whether it is possible to further promote the results obtained, so we can not choose to teach the algorithm, that hope to let students know the algorithm first, and then gradually understand the aspirations of the truth is wishful thinking only , I hope that through unreasonable training, in order to develop the students thinking, to reduce the burden on students is also impossible to achieve goals.