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数学探究是贯穿于整个高中数学新课程的重要内容之一,而数学探究课题的选择是完成探究学习的关键.普通高中《数学课程标准(实验稿)》指出:“教师应努力成为数学探究课题的创造者,有比较开阔的数学视野,了解与中学数学知识有关的扩展知识和内在的数学思想,认真思考其中的一些问题,加深对数学的理解,提高数学能力,为指导学生进行数学探究做好充分的准备,并积累指导学生进行数学探究的资源.”高中数学课程标准还要求教师应为学生提供较为丰富的、多样化的数学探究课题的案例和背景材料,例如,某些数学结果的推广和深入探究,不同数学内容之间的联系和类比等.
Mathematical inquiry is one of the important contents throughout the new high school mathematics curriculum, and the choice of the subject of mathematical inquiry is the key to inquiry learning.Secondary high school mathematics curriculum standard (experimental draft) states: “teachers should strive to become mathematical inquiry The creators of the subject have a relatively open view of mathematics, understand the extended knowledge and inherent mathematical thought related to the mathematics knowledge of the middle school, seriously consider some of them, deepen the understanding of mathematics, improve the mathematics ability, and conduct the mathematical inquiry for guiding the students Be fully prepared, and accumulate resources to guide students in mathematical exploration. ”The high school mathematics curriculum standard also requires teachers to provide students with rich and varied case studies and background materials on math inquiry topics, for example, some math The promotion of the results and in-depth exploration, the connection between different mathematical content and analogy.