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一、初中学生数学创造性思维习惯的培养1.培养数学推广的思维习惯在所有的数学发现与数学创造中,通过推广而获得的新概念、新理论和新方法等新的发现与创造至少占半数以上。数学推广可使数学结论 (或概念)更具抽象性和统一性,从而更加揭示数学对象的本质及不同对象间的联系。而对数学对象本质的揭示正是数学发现所追求的重要目标。实践证明,迅速掌握了推广的方法,就等于鼓励学生进行数学推广,学会数学推广。2.培养数学反驳的思维习惯反驳也是一种数学创造,是促进数学思维发展的强大动力。因此,把批判的思想引
First, the cultivation of junior high school students’ creative thinking habits in mathematics 1. Develop the habit of thinking in mathematics promotion. In all mathematical discoveries and mathematical creations, new concepts, new theories, and new methods obtained through the promotion of new discovery and creation account for at least half the above. Mathematical promotion can make mathematical conclusions (or concepts) more abstract and unity, thus revealing more about the nature of mathematical objects and the connections between different objects. The discovery of the nature of mathematical objects is an important goal pursued by mathematical discovery. Practice has proved that quickly mastering the promotion method is equivalent to encouraging students to carry out mathematics promotion and learn mathematics promotion. 2. The refutation of the habit of thinking in cultivating mathematics is also a kind of mathematical creation and a powerful driving force for the development of mathematical thinking. Therefore, the idea of criticism