Linear Equation With One Unknown From The HPM Perspective:A Practical Study

Linear equation with one unknown is the simplest and most basic algebra equation in mathematics of junior middle school,how to organically integrate the history of mathematics into the teaching,is one of hot topics of current classroom teaching reform,is also one of requirements of the new curriculum standard.Its master and achieve mastery through a comprehensive or not directly affects the further study of follow-up courses.For this,based on the experience of the educational practice,around instructional design of linear equation with one unknown,combined with interviews,questionnaire survey,etc,the researcher carried out an action research on integrating the history of mathematics into the teaching of linear equation with one unknown,and analyzed and studied the results.The main work is as follows:First,the researcher combed the literature of domestic and foreign scholars for the history of linear equation with one unknown and teaching,points out the basic principle that history of mathematics integrating into mathematics classroom teaching in general should be followed,and expounds the significance and necessity of this research.Second,according to the interview for whole school mathematics teachers,understand their idea about instructional design of linear equation with one unknown.And according to the questionnaire survey for the second day students that have learned linear equation with one unknown,understand their problems and on the degree of mastering the knowledge points.Three,aiming at the problems of the interview and test report,in the teaching activities for the junior grade one students,this paper puts forward design idea and design scheme about integrating mathematical history into mathematics classroom teaching.And one of these classes carried out these instructional designs.Four,the effect of action research by designing different questionnaire,and the resultsare discussed in detailed analysis of data and charts.And in the end pointed out:the action research,to some extent,improved the students’ learning enthusiasm and curiosity.And the study makes students think the content of mathematics,the evolution of the thought,method and development process and it promotes the students to understand the knowledge of linear equation with one unknown.