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数学猜想,实际上是一种数学想象,是人的思维在探索数学规律和本质时的一种策略,是建立在已有事实和经验基础上的一种假定,是一种合理推理。在数学课堂中,有意识地培养学生敢于猜想、善于猜想的意识,努力创设猜想生成的氛围,积极构建师生猜想的共同体,会使数学课堂因猜想而引起美丽的生成。本文结合笔者自身在教学实践中的真实案例,对在数学课堂中如何有效培养学生的猜想意识做出几点思考。一、案例
Mathematical conjecture is actually a kind of mathematical imagination. It is a kind of tactics when human thinking explores the laws and essences of mathematics. It is a kind of assumption based on the existing facts and experiences, and it is a reasonable reasoning. In mathematics classroom, students should consciously cultivate the students ’ability of guessing and being good at conjecture, trying hard to set up the atmosphere of conjecture generation and building a community of teachers and students’ conjecture, which will make the mathematics classroom produce beautifully because of the conjecture. Based on the author’s own real cases in teaching practice, this article makes some reflections on how to effectively cultivate students’ conjectural awareness in mathematics classroom. First, the case