Research On The Content Distribution Characteristics,Cognitive Goals And Teaching Strategies Of Equation In Elementary And Middle Schools

A decisive position had been occupied by algebra in the science of mathematics especially equation had been taken its indispensable part.An important role had been played by the teaching of equation in primary and middle school mathematics teaching,therefore,the distribution characteristics of equation knowledge had been researched and feasible teaching strategies had been proposed.Equation knowledge had widely been distributed in three important study periods including elementary school,middle school and high school,taken considering as an important basis for cultivating students' algebraic thinking ability.This thesis uses the widely used mathematics textbooks of Beijing Normal University Press as the blueprint to analyze and investigate the equation knowledge and teaching strategies involved in primary and secondary schools.This thesis presents the distribution of knowledge content of equations in primary and secondary schools employing tables and other statistical methods and discusses the characteristics of textbook layout from the perspectives of type,degree of difficulty,degree of connection,and nature of the curriculum;Based on Bloom's education objective classification theory,the educational objectives of equation knowledge in different learning stages and the development situations of students' algebraic thinking level and cognitive level had been investigated;Then,feasible and reasonable teaching strategies for the teaching of primary and middle school equation had been proposed based on the above analysis and research results,and meanwhile,several application cases had been used to analyze the teaching strategies.This thesis is divided into five chapters.In Chapter I,the research background had been firstly introduced;Secondly,the current research status had been analyzed through combing the existing literatures.At the same time,the goal,significance,content and key concepts of the research were explained.On this basis,the research methods and idea had been described.Finally,Expound the theoretical basis of the research.In Chapter II,the content distribution of equation knowledge in three learning stages had been firstly emphasized,and specific contents had been analyzed in details.Secondly,the knowledge connection,equation type and course type of equation knowledge had been explored based on content analysis.In Chapter III,first of all,citing the conceptual explanation of Bloom's educational goal classification theory;secondly,this theory had been used to discuss the cognitive goals of equation knowledge indifferent learning stages,the students' algebraic thinking level and cognitive level had been analyzed,which had provided ideological basis for the following teaching practice.In Chapter IV,corresponding teaching strategies of primary and middle school equation had been proposed based on the above research achievements:(1)guiding students to understand basic concepts and the equivalent relationship between abstract and concrete;(2)pay attention to infiltration model thinking;(3)clarifying equation type and corresponding calculation methods ideas;(4)enhancing knowledge connection ability and learning classified analysis;(5)strengthening the connection between equation knowledge and real life;In Chapter V,the research innovations and limitations had been described,and look forward to this thesis from three angles,hope to provide better assumption and ideas for the later research on equations.