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布鲁纳说过:“探索是数学的生命线”。没有探索,便没有数学的发展。著名数学教学家弗赖登塔尔指出:学生学习数学的唯一正确方法是实行“再创造”。也就是由学生本人把要学的东西自己去发现或创造出来。教师的任务是引导和帮助学生去进行再创造,而不是把现成的结论灌输给学生。教学中教师要善于创设情境,营造学生主动探索的空间,让学生自己去主动探索知识,激励学生自己去探索问题,创造性地解决问题,以培养学生的创新思维,促进学生综合素质的全面提高。
Bruner said: “Exploration is the lifeline of mathematics ”. Without exploration, there will be no development of mathematics. Well-known mathematics teacher Freudenthal points out: The only correct way for students to learn mathematics is to practice “re-creating.” That is, by the students themselves to learn to discover or create their own things. Teachers’ task is to guide and help students to recreate rather than instill ready-made conclusions to students. In teaching, teachers should be good at creating situations, create the space for students to take the initiative to explore, so that students can take the initiative to explore their own knowledge, encourage students to explore problems on their own, and creatively solve problems so as to foster students ’innovative thinking and promote the comprehensive improvement of students’ overall quality.