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数学教育家G·波利亚指出“掌握数学就是意味着解题、不仅善于解一些标准的题,而且善于解一些独立思考、思路合理、见解独到和有发明创造的题。”波利亚的这段话,我的理解是:学生是能动的人,是学习的主体。教会学生解题是教师教好数学、学生学好数学的重要目标。换言之:培养学生的思维能力,让学生会学数学,是数学教学的目的。数学教师应将此目的贯彻到每一节数学课中,下面,就自己一节“简单的高次方程”教学公开课来谈谈我在数学教育中培养思维能力的几点做法及体会。
Mathematical educator G. Pollard pointed out that “Mastering mathematics means solving problems, not only being good at solving some standard problems, but also being good at solving some problems of independent thinking, reasonable thinking, unique ideas, and invention and creation.” In this passage, my understanding is that students are dynamic people and the main body of learning. Teaching students to solve problems is an important goal for teachers to teach mathematics and learn mathematics well. In other words: It is the purpose of mathematics teaching to train students’ thinking ability and let them learn mathematics. The mathematics teacher should implement this purpose in each section of mathematics lesson. In the following, I will talk about my own practice and experience in the cultivation of thinking ability in mathematics education on my own “a simple high-order equation” teaching open class.