高中数学课堂设计的出发点应该从“教师怎么讲”转变为“学生怎么学”，这要求教师转变教学观念，知识不是教学的唯一目标，提高数学素养和培养数学技能也是老师应该关注的目标。只有学生的自主活动才能真正促进学生的发展，合作探究、分层教学和问题引导是高中数学课可行的，有效的提升学生自主学习活动的方法，教学的基本形式应该把教师讲解与学生的自主活动结合起来。 同时高中生的认识水平还有限，一味的强调学生的主体地位，不予引导可能使得“学生自我学习”转变为“学生自习”。教师在课堂中需要发挥“主导”地位，同时为了避免代替学生“学习”，“问题教学法”是一个很好的解决办法，问题解决能力是一种重要的数学素质。教师设置引导问题的根本在于把握学生的状况、吃透教材内容、设置合理的问题引导，注重营造宽松自信的课堂氛围，与学生建立合作的关系，但注意不要包办。 本文希望由自己的教学实践出发，通过课程教材的加工与重组，形成一套“问题解决”的教学方法。椭圆教学在高中数学教学中占有重要的地位，人教版教科书在椭圆这一章节中进行了很多课堂探索和扩展，由此我设计了相关的探究课题，分为椭圆的定义、椭圆的形成、椭圆的参数方程、椭圆与圆的类比探究、仿射变换在平面解析几何的应用、椭圆光学性质的探究、空间中的椭圆等一系列探究课，期望打破教科书的限制，利用问题引导学生主动探索，突破“满堂灌”的教学方式，培养学生探究问题、提出问题的能力。

It is generally recognized that the starting point of high school math class design should be changed from "how to teach" to "how students learn". This requires teachers to change teaching concepts, knowledge is not the only goal of teaching, improve mathematical literacy and cultivate mathematical skills is the goal that teachers should pay attention to. Only students'autonomous activities can really promote the development of students. Cooperative inquiry, hierarchical teaching and problem guidance are feasible and effective methods to promote students' autonomous learning activities. The basic form of teaching should be changed from teacher's explanation to students'autonomous activities. Aa high school students' knowledge level is limited., the emphasis on students' dominant position can make students self learning possible to turn into "student self study". In order to solve this problem, teachers need to play a "leading" position in the classroom, and in order to avoid replacing students' "learning", "problem teaching method" is a good solution. The ability to solve the problem is to grasp the students' condition understanding the content of textbooks and setting reasonable questions. This article tries to find out the complementarity and balance between the training of "problem solving" ability and the knowledge system of curriculum materials .The ellipse teaching occupies an important position in the high school mathematics teaching. The ordinary high school mathematics textbook has carried out a lot of exploration and expansion in this chapter of the ellipse. As a starting point, I designed the related teaching plan, which is divided into the definition of ellipse, the formation of ellipse, the parametric equation of ellipse, and the analogy of ellipse to circle. Research and affine transformation in the application of plane analytic geometry, the exploration of elliptical optical properties, the ellipse in space and so on, break the limit of the textbook, break through the teaching mode of "full - hall irrigation", and provide a better way for students to learn