| Primary algebra in mathematics teaching is very weak it. Primary long-term accepted mathematical training, great set of mathematical thinking, probably after entering junior high school students cannot quickly adapt to the direct cause of algebraic thinking. The other hand, thinking of the development may be closely related with the necessary study and training, on the basis of certain physiological maturity at the appropriate time an appropriate degree of study and training to effectively promote the development of students’ algebra thinking."Algebraic mode construct and graph the equation to calculate" solve figure equations and build algebraic models "essentially solutions to graph equations and construct a corresponding number of unknown relationship structure of algebraic mode application problem" was intended to explore "early algebra" approach and method to study tries to answer three questions:(1) is there than the current textbooks (five years) possibilities of early algebra?(2) equation, and the early teaching of basic sequence of equations word problem is?(3) what are the General teaching strategies?Research main used has experimental method and investigation method, prepared has specifically of textbook and teaching counselling information, and through individual school of first experimental amendment perfect, turn through tight of plans and thoughtful of experimental teachers training, and site guidance implemented process control, through experimental group and。 controlled group of before and after measuring comparison to inspection experimental of effectiveness, through Division, and health questionnaire on (1) taught, and learn of difficulty and burden;(2) taught, and learn of value and wishes;(3) taught, and learn of policy and method for has investigation.Main conclusions of the study are:1. Junior in grade four and more "graphic identity projection and construction of algebraic mode" teaching, with practicality, feasibility. Through rational design of teaching content and teaching strategies of effective use, without heavy burden under the premise of increased student learning, schools in cities and towns of most (about80%) students can master the "algebraic mode construct and graph the equation to calculate" the basic thinking.2. Appropriate learning and training can effectively promote the early development of algebraic thinking ability of students. The very notion of experimental teacher widely shared. Think will experimental concentrated teaching of content appropriate dispersed to each grade, through dispersed penetration and concentrated teaching, by more system, and full of learning and training, on has may makes very most students (as95%above) better to master set of content, to from fundamentally improve primary school mathematics "number and algebra" area of teaching status, research determines a figure a type graphics equation projections of basic teaching sequence:basic arithmetic figure equationâ†'ax+b=fâ†'ax+bc=fâ†'a(n+x)=fâ†'ax+bx=fâ†' a(n+x)=bxâ†'ax+n=bx-m.3. Successive approximation strategies, diverse representation strategy and mode of intuitive strategy is an effective teaching strategy, built based on the study of cognitive theories of procedural knowledge "graphic identity projection and construction of algebraic mode" teaching. Research also looks at developing students’ algebraic thinking, mutual promotion and construction of arithmetic and algebraic thinking thinking spiral of mathematics in primary schools "early belt-" four stages of teaching approaches and methods of the new system.In this study to explore the "early algebra", in the domestic and international are a few people involved in new areas of research, research has to a certain extent fill the gap, but also for the future to further strengthen the teaching of elementary algebra, teaching material construction and amendment provided the empirical basis of the standard. |
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