国家数学课程标准对探究性学习作出了充分的说明,强调了“数学学习内容应有利于学生主动地进行观察、实验、猜测、验证、推理和交流等数学活动”。并指出,“数学教学活动中,教师应激发学生的学习积极性,向学生提供充分从事数学活动的机会,帮助他们在自主探索和合作交流的过程中真正理解和掌握基本的数学知识与技能、数学思维和方法,获得广泛的数学活动经验。”对数学推理能力,提出“能通过观察、实验、归纳、类比等获得数学猜想,并进一步寻求证据, The National Mathematics Curriculum Standard fully expounds on inquiry learning and emphasizes that “Mathematics learning content should be conducive to students' initiative in mathematical activities such as observation, experiment, speculation, verification, reasoning and communication.” And pointed out that “mathematics teaching activities, teachers should stimulate the enthusiasm of students to provide students with the full opportunity to engage in mathematical activities to help them in their own exploration and cooperation in the process of communication and truly understand and master the basic mathematical knowledge and skills, mathematics Thinking and method, gain a wide range of experience in math activities. ”For math reasoning ability, put forward" can get mathematical conjecture through observation, experiment, induction, analogy, and further seek evidence,