Instructional Design Analysis Of High School Under Structuralism View

Structuralism view on mathematics has been proposed by Bourbaki,then as the core viewpoint of cognitive psychology, which had a great influence on the American "New Number" period and curricular reform in some countries of Europe and Asia. However, with the failure of the campaign, mathematical structuralism and structuralism teaching theory is gradually weakened. Why do we still need to study this point of view ?The eighth curriculum reform of our country since 2001,and today one of reflection on this reform is: mathematics curriculum is loose. Due to the influence of structural view of mathematics education, combined with the structural characteristics of the new curriculum standards and the concept of high school mathematics itself. Therefore, the explore teaching is based on the viewpoint of structuralism.Through the literature analysis,this study found that the structure of view has great significance on students’ understanding and teaching. Reflected in mathematics, on the one hand, it tends to analyze the knowledge of mathematics as a whole, and in accordance with a category of mathematical knowledge into a structured system, which is conducive to increase the breadth of students’ mathematical understanding. On the other hand, to analyze and solve problems according to some kind of structural features and the basic mathematical way of thinking, help dig nature of the problem inherent in, and this will increase the depth of students’ understanding. In teaching, learning theory and SOLO classification were found the effect in the students’ understanding of the structural problems, and the structure level evaluation of students on the understanding is obvious.Before teaching design, first analysis the A version taught high school mathematics textbooks, found the current high school mathematics is based on "quantitative relationship between form and space" for the study of knowledge architecture. In this system,analyze structural characteristics of concepts,principles, and methods. Secondly, through the questionnaire survey of students from a middle school in Xi Chang City, mainly investigated 3 aspects, the structure understanding of consciousness,practice and learning results, found that students generally have a certain structural consciousness,but a lack of action, and the level of understanding is low. 8 teachers in Chengdu city and 2 in Xi Chang city were interviewed, interviews on "content of teaching materials, teaching, evaluation and helping students, found that teachers commonly used structuralism view to understand the textbook,but less actions in the teaching. Therefore, according to the structure point of view, the concept of type, ellipse, law- sine theorem of the two parts of teaching design through the analysis. These two cases, to find the method of inquiry teaching, help students understanding. Summarize the key point of view of the teaching design based on Structuralism:(1) Teaching, from the overall start, contact with the existing knowledge and experience;(2) "Discovery" should be run through the whole teaching;(3) Mining the structure of the mathematical content itself;(4) Design evaluation should be hierarchical, to help students to understand the breadth and depth of self inspection.