《数学课程标准》指出“要处理好教师讲授和学生自主学习的关系,通过有效的措施,启发学生思考,引导学生自主探索,鼓励学生合作交流”。在数学教学中,寻找合适的问题来引领学生自主探究是重中之重。这样的问题必须是有意义的,有趣的,富有挑战性的,有相当的延伸空间。学生在问题情境驱动下,自主性被激发,学习效率才得以保证。 The “Mathematics Curriculum Standard” states that “we should handle the relationship between teacher instruction and student self-learning through effective measures to inspire students’ thinking and guide students to explore on their own and to encourage students to cooperate and exchange ideas.” In mathematics teaching, it is the most important to look for suitable problems to guide students to explore independently. Such issues must be meaningful, interesting, challenging and have considerable scope for extension. Under the circumstance of problem-solving, students are stimulated by their own autonomy and their learning efficiency can be guaranteed.