The Arrangement Of Mathematical History Materials In Compulsory Mathematics Textbooks For Senior High Schools

Textbooks are the authoritative masterpieces of the front line of teaching.They have a great influence on teachers' teaching and students' learning.It can be said that the mathematical historical materials in textbooks are the most direct way for students and teachers to get into the history of mathematics.In the course of deepening curriculum reform,new revisions are made.The curriculum standards always emphasize the integration of mathematics history in mathematics textbooks.Can the mathematics historical materials in the current textbooks really play the educational value of mathematics history?How to arrange mathematics historical materials in textbooks?This paper mainly studies from these two problems,using literature analysis and text analysis to analyze and compare the mathematical historical materials in different versions of textbooks,and use ISM method to determine the order of mathematical historical materials.The composition of this paper is mainly divided into the following six parts:The first chapter is the introduction,which introduces the research background and significance,summarizes the current research status and determines the research program.The second chapter is literature review,combing the history of mathematics and mathematics education,incorporating historical materials of mathematics into textbooks at home and abroad,and ISM research at home and abroad.The third chapter analyzes and compares the mathematics historical materials in the two editions of textbooks.Selecting the historical materials of mathematics in the compulsory series of senior high school mathematics textbooks published by People's Education Press and JiangSu Education Press,comparing their overall capacity,content distribution,content type,presentation location,subjects involved and citation methods,the results show that the mathematics historical materials of two editions are different in details,but there is no significant difference;In the fourth chapter,the ISM method is used to determine the arrangement of mathematical historical materials.Firstly,the elements are extracted,then the formation relationship of elements is determined,then the reachable matrix is obtained,and finally the hierarchical directed graph of elements is obtained.The arrangement order of mathematical historical materials in textbooks is analyzed according to the hierarchical directed graph.The fifth chapter on the basis of the above two chapters,analyses and compares the arrangement order of the current textbook's mathematical historical materials and the arrangement order of the mathematical historical materials obtained by ISM method,and considers the infiltration way of the textbook's mathematical historical materials from the macro and micro levels,thus obtains some suggestions about the integration of the history of mathematics into the textbook.The sixth chapter is the conclusion and enlightenment of the research,summarizes the research results,puts forward to the enlightenment of integrating the history of mathematics into mathematics textbooks,reflects on the shortcomings of the research,and looks forward to the future development direction of the research.Paying attention to the compilation of mathematical historical materials in mathematics textbooks is an important measure for the educational value of mathematical history to fall to the ground.This paper studies the history of mathematics in the textbooks through text analysis and scientific methods,hoping to provide a clue for the compilation of mathematical historical materials in the textbooks,change the phenomenon of "high evaluation,low application" in the history of mathematics,and add the history of mathematics to the way of cultivating students'core quality of mathematics.