数学课程首先应当让学生知道他们面对的内容是什么,给学生留出可以思考和可以操作的空间。如果内容本身就象“天外来客”般的让人感到无法琢磨,学生不知道怎样做和怎样思考,就会感到茫然和无能为力,即思考需要一定媒介为载体,“物质决定意识”。这说明, The math course first of all should let the students know what they are facing and give them space to think and to do. If the content itself is like the “outsiders” like people feel pondering, the students do not know how to do and how to think, you will feel dazed and helpless, that is, thinking needs a certain media as a carrier, "material decision consciousness . this means,