Some Problems For Basic Math Instructional Design Experience Activities

The Mathematical activities experience has been included in the <Mathematics Curricular Standards for Full Compulsory Education> since2001, it becomes a teaching goal of mathematical curriculum in the stage of compulsory education. There are more and more studies of Mathematical activities experience after the" Four Basics" was explicit in the <Mathematics Curricular Standards for Full Compulsory Education> in2010. Unfortunately, although the study has continued so many years, most teachers donnot know what is Mathematical activities experience or how to apply it to teaching practice.Recently years, most studies of the Mathematical activities experience stay on the connotation and extension of "the basic mathematical activities experience". But the studies of how to achieve or applicate the basic mathematical activities experience are very lack. The objective of my study is to make frontline teachers consider applicating this teaching goal in the teaching design on the basis understanding of "the basic mathematical activities experience".I have a clear understanding of the related concept of "the basic mathematical activities experience" after reading lots of literatures. I have in-depth studied "experience", the key word of the teaching goal. Then I summarized general pattern of mathematical activities experience accumulation on the basis of grasping the general rules of experience accumulation. So I found some general methods of teaching design facing to the basic mathematical activities experience accroding to the general rules. The different ways of teaching design are:1. reverse analysis2. establishing experience goal3. planning experience goal and classifying the new lessons4.making different teaching designs according to different experience levels. I made a teaching design of <Tetragonum> in junior middle school teaching material according to the ways I summarized and a large number of good teaching designs. Then I picked up three typical teaching cases from lots of literatures and teaching designs to cover all coeuse types. The first case was about the original experience of basic geometric operations, the second one was highlighting the advancement of mathematics activities experience between two different cases, the last one was about accumulating students’creative experience on specialized activitied lessons. At last I summarized some cardinal principles and problems in teaching process of the Mathematical activities experience.I hope the whole study can give more teachers with inspiration and thinking and encourage them researching the Mathematical activities experience. In the furture we can use it in Mathematical education then the students may benefit from it and get comprehensive healthy development on mathematics.