数学猜想:发现性学习的思维方法

Mathematics Hypothesis:the Thoughts for Discovery Learning

任何数学定理或结论的形成都是从模糊到确立,从猜想到结论.数学猜想不仅是探索数学事实的基础,也可以充分演绎数学知识,在提出猜想及对猜想的论证过程中,提升数学思维能力.数学猜想是进行发现性数学学习的思维方法,善于猜想,掌握数学猜想的基本方法,有助于提高数学思维品质,是数学教学中应予以加强的一项重要工作.研究猜想的规律和方法,对于培养数学能力、开发智力、发展思维有重要意义.

Every mathematics theorem and conclusion develops from hypothesis going through the process from indeterminacy to acknowledgement. The hypothesis is the basis for exploring the mathematics truth and deducing the mathematics knowledge. In the process of putting forward an authenticating hypothesis, the ideation will be improved. The mathematics hypothesis in the way to perform the discovery learning, and acquire the ability to carry out the hypothesis is the key in mathematics teaching. Investigating the regular pattern and methods of hypothesis will make significant contributions to improving the mathematics ability, intelligence and discovery thought.