让猜想走进数学课堂

数学猜想是一种合情推理,是一种创造性思维活动。它既是科学发现的先导,也是解决问题的一种手段。在数学教学中需要培养学生的猜想能力。培养学生猜想能力的主要途径有:积极营造宽松的课堂氛围;加强新旧知识的联系,提供丰富的"猜想"素材;在新授课中激发学生猜想的欲望;在习题课中点拨学生猜想的思路;在研究性课题中培养学生猜想的能力等。并认为课堂教学不能停留在猜想的层面上,还要教学生反思、论证,只有这样才有利于培养思维的批判性和严谨性。

Practising Guessing in Mathematics Classroom Teaching

Mathematical guessing is a reasoning deduction and an activity of creative thinking, which is also the first step to the scientific discovery and a means to solving problems. To develop the student's guessing ability, some approaches are proposed for the classroom instruction: creating relaxing classroom atmospheres; strengthening the connection between the given and new information; providing rich materials for guessing; arousing the student's desire to guess in new lessons; and so forth. This paper suggests that classroom instruction go beyond the level of guessing, and students be taught to reflect and deduce, so that their critical and astringent thinking will be developed.