Research On The Change Of Function Concept Introduction In Pep Junior Middle School Mathematics Textbook (1964-2013)

At the beginning of the 20 th century,the German mathematician F.Klein(F.Klein,1849-1925)once proposed that function is the "soul" of mathematics.In 1964,"Function" appeared for the first time in the "People's Education Edition" junior high school mathematics textbook.The concept of function is the "cornerstone" of learning functions,the basis for students to master function knowledge,and the key to establishing function thinking methods.With the development of the times and changes in textbooks,the People's Education Publishing House published 8 sets of junior high school mathematics textbooks from 1964 to 2013,including "function concept","linear function concept(proportional function concept)","quadratic function concept" and "inverse proportional function concept".Meanwhile,the import content setting for function concepts has also changed.This paper takes the above-mentioned 8 sets of textbooks as the research objects,and uses literature research method,comparative research method,case analysis method and other research methods to study the import content of these 4function concepts,analyze the characteristics and reasons of their changes,and provide information for junior high school mathematics in my country.The import writing of textbook function concepts provides writing suggestions.The main characteristics of the changes are:(1)The function content has undergone a process of change from penetration to perfection;(2)The expression of the imported content of each function concept gradually pays attention to symbolization;(3)The illustrations are set in line with the characteristics of the times and gradually become exquisite;(4)In different periods,textbooks gradually added "learning goals" and "exploration" and other introductions;(5)The import methods of each function concept are mostly instance import,and the instance selection has the characteristics of the times.The main reasons for the change are as follows:(1)Curriculum standards(syllabuses)in different periods have different requirements for importing functions and concepts;(2)The compilation of textbooks in my country is closely linked with other countries in the world,and the excellent compilation experience of foreign textbooks is absorbed and used for reference;(3)According to the characteristics of students' mathematics learning psychology and functional knowledge,adjust the compilation of textbooks;(4)Continuously improve the compilation of textbooks according to the feedback of teachers and students in teaching practice.The writing suggestions put forward are:(1)import function concepts with the help of appropriate life examples;(2)make students feel "familiar" with the help of old knowledge;(3)strengthen the integration of ideological and political education content.