Research Teaching Design Of Quadratic Function Concept Based On Multivariate Representation

AS an important part of junior mathematics,Function are everywhere in junior math.Quadratic Function occupy an important position in junior math,it not only deepens to the junior math but also establishes the foundation for high school math.However,a quantity of students usually have superficial understanding of the Quadratic function,In addition,they have no idea about this.,these students can not solve any problems by Function.There is definition of the Multiple-representations in the thesis,it is the focus of study in psychology of mathematics.the author not only introduce history ? objective ? significance about Multiple-representations.but also analyzes the situation and essential factor at present.and then,explores teaching characteristics of Multiple-representations and analyzes advantages and disadvantages.research mathematical multivariate characterization in the field of theory.The author deepens analyzes the cognitive theory of mathematical multivariate characterization.From the following three aspects: theory of double coding,theory of multimedia cognitive and cognitive theory of mathematical multivariate characterization.And then,the author analyses the cognitive mechanism of the multiple representation learning of the concept of function.There are three points:the characteristics of the multiple representation of the concept of function;the cognitive mechanism of multiple representation of learning by quadratic function concepts;the mathematical meaning of the multiple representation of the concept of function..we research a instructional design model on teaching practices.it is most important part in this paper.the example is the author's student.Class observations were carried out from five indicators:the teaching process of a lesson,the time when students' independent thinking,the number of students answering questions and the accuracy of question were used for testing of teaching effectiveness of Quadratic function concept.At the same time,The author find effective solutions through student's adaptation based Quadratic function.According to questions and problems in learning process.The significance of this thesis lies on the following a few points: analyzes the cognitive mechanism of multiple-representations method based Quadratic function concept and enriches teaching method about multiple-representations.the thesis deepens teaching principles about multiple-representations method based Quadratic function,the effectiveness and value of multiple-representations method based Quadratic function are verified.And design a teaching model thought the teaching fact,expanding the field of vision about other mathematical teaching.use a few of scientific methods.supply many methods to research multiple-representations method based Quadratic function.