Teaching Research Based On Students' Good Mathematical Cognitive Structure Generation

Students' cognitive structure is growing point of new knowledge;it is necessary for us to seek for and learn it in expectation of helping students ' math study and teachers' teaching,due to the necessarily close relation of their study achievement,ability and cognitive structure,along with the changing and development of cognitive structure in study process;the researches before focused on the strategy of establishing good math cognitive structure,while rare research on factors teachers will use to support students' good math cognitive structure generating to analyze classes based on the view of their study;besides,many research proposed didn't show “Mathematical characteristics” of its own,with the conclusion and strategy common for other subjects;at last,math cognitive structure is a “Camera obscura”,there is no way to operation directly,we can just discuss which factors the teachers will choose during class teaching to support students' good mathematical cognitive structure generating by the class as “medium”.The paper is based on the view of students study,choosing six sessions of excellent math web-class in national education resource public service platform,analyze math class by the proposed math task frame in QUASAR project research.what's the level of teaching task by six teachers and which applying factors relative to high cognition demand during the spread process of class teaching? The research analyzes on relation between the cognitive structure variables and keeping high cognitive demanding factors through these six excel ent sessions.The basic conclusion: firstly,all of the six teachers adopt high-level teaching task,all of the six classes are beneficial to students good math cognit ive construct development;secondly,in summary,the frequency of M2(offer meta-cognition approach for students)is much than M3(demonstrate a high level of operating behavior),while M6(establish relation among concepts)'s application frequency is less,even,with no use of two teachers;thirdly,it is the most beneficial to develop the discernible quality of students' cognitive construct,utilizability as secondary,stability as the last.The basic suggestions : teachers must be aware of establishing relatio ns among concepts,strengthen the knowledge correlation;pay attention to original knowledge construct;leave time for students' fit exploring;pay attention to the coordination of the three cognitive constructs during class teaching,especially on the stable development one;implement high-level teaching task during the teaching.