以思促学:体悟思维之妙的数学课堂

Promoting Learning by Thinking: Ingenious Thinking in Mathematics Classroom Teaching

在以学生为主体、问题为导向的数学思维课堂上,教者要善于创设问题情境,激发学生思维兴趣,形成积极思维的动力;引导学生从数学的角度发现和提出问题,并加以探索、研究和解决;善于以开放性的问题为学生提供独立思考和创新求异的机会,鼓励并指导学生在思考问题时敢于求异,培养思维的灵活性;善于预设"冲突",促使学生质疑思辨,培养思维的深刻性;善于引导学生对数学思考和问题解决的结果等进行交流、反馈和评价,优化学生思维方式,培养批判性思维;关注课堂交流中学生的思维过程,鼓励学生思维接力,渗透思维的多样性。

In the problem-oriented mathematics thinking classroom teaching, in which students are the subjects of learning, teachers need to skillfully design problem situations and to spark their interest in thinking to stimulate their active thinking; teachers should guide students to fi nd and ask questions and try to explore and study and solve them; teachers need to design open-ended questions to provide students chances of independent thinking and creation; besides, teachers need to presuppose “confi icts” to drive them to question and difi erentiate and to cultivate their thinking depth; furthermore, teachers need to guide students to communicate, feedback and assess the results of their thinking and problem-solving to develop their critical thinking; finally, teachers should focus on students’ thinking process in classroom interaction to encourage their continuous thinking between classmates with diversified thinking styles.