Research On The Teaching Of Binary Primary Equations From The Perspective Of HPM

In the stage of compulsory education,"equation thought" has been running through it.In primary school,the main purpose of the equation is to replace the original value with some unknowns and directly list the equation for calculation.The convenience of simple calculation of the system of equations may not be obvious,but it has universality and can solve all similar problems.The more complex problems,the more you can experience its superiority.The system of equations in junior high school makes the advantages of solving problems with equations more obvious,but how to make students fall in love with the class of equations and better understand the "elimination thought" in solving equations has always been a difficulty in the actual classroom teaching.In recent years,the field of HPM has attracted widespread attention from related academic scholars.The Mathematics Curriculum Standards for Compulsory Education(2011 Edition)points out that students' good experience in mathematics learning should be paid attention to in teaching.Studies have shown that classroom teaching with the way of integrating mathematics history plays a good role in promoting the development of students' mathematical emotion.Based on the above situation,seventh grade math teacher in a middle school for the interview and questionnaire survey,to understand the teachers' view on history of mathematics into teaching as well as the application situation,students in a dual equations in the study of several problems,have found the following points:(1)the history of mathematics teachers of mathematics into actual classroom recognition is higher but the actual utility ratio is low;(2)The main reason why this method is not widely used in the classroom is the limitation of teachers' knowledge of the history of mathematics and the lack of referable cases;(3)There are some difficulties in the current teaching of binary primary equations,for example,students do not understand the idea of "elimination" and cannot flexibly apply the equations.To investigate students through this way of teaching the knowledge emotional attitude and understanding of the influence,provide an executable case for teachers,this study selected two parallel classes in grade seven,respectively as the experimental class and that in comparative classes)students as the research object,know happened in piaget's theory,under the guidance of similarity theory,history,according to design principle method and combined with the reality of HPM teaching teaching design and implementation of binary an equations and its application method of teaching.Through questionnaire survey,interview materials,classroom teaching records and other materials as research data,the data were analyzed and the following conclusions were drawn:(1)Integrating the historical data of binary equations into the teaching has a certain positive influence on the essence of "elimination" of solving equations for students.Students can use "elimination thought" to solve equations problems relatively well even in the process of solving equations without using standard steps;(2)Most students are interested in the history of equations and agree that the integration of mathematics history into the teaching of equations is helpful to the "elimination idea" of solving equations,but they do not generally agree on the long-term implementation;In the classroom,this way can better attract students' attention,and students' attitude towards math class has a certain good change.