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美国著名数学家哈莫尔斯说:“问题是数学的心脏,有了问题,思维才有方向;有了问题,思维才有动力;有了问题,思维才有创新。”新课程改革下,要求以学生已有知识和经验为基础,让学生在教师创设最佳认知活动的条件下,自主地发现问题、分析问题和解决问题,通过自身情感体验去实现知识的再创造。问题贯穿于整个数学课堂,课堂教学中要充分发挥学生的主体作用,使他们参与和体验知识技能由未知到已知的过程。在这一过程中提高学生应用数学的意识,激发和培养学生的独立探究能力,发展学生的创造性思维。
Hammolis, a famous American mathematician, said: “The problem is the heart of mathematics. There is a problem, and there is a direction for thinking. If there is a problem, thinking can only be motivated. Only when there is a problem, can there be an innovation in thinking.” Under the requirement of students’ existing knowledge and experience, students are required to discover problems, analyze problems and solve problems autonomously under the condition of teachers creating the best cognitive activities and realize the re-creation of knowledge through their own emotional experience. The problem runs through the entire mathematics classroom, classroom teaching should give full play to the main role of students so that they participate in and experience the knowledge and skills from unknown to known process. In this process, students should improve their awareness of applied mathematics, stimulate and cultivate students ’independent inquiry ability and develop students’ creative thinking.