| As an important part of teaching activities,textbook examples or exercises are not only an important tool to deepen and expand mathematics knowledge,but also an important carrier to train students’ mathematical thinking.Under the background of a new round of mathematics curriculum reform,how to design problems and what problems to design become the main content of education research;At the same time,the new curriculum standard clearly puts forward the integration of interdisciplinary,textbook content should pay attention to the combination with real life,enhance the interest of learning,and infiltrate economics knowledge into the exercises and gradually enter the vision of researchers.The "economic situation problem in primary and secondary school mathematics textbooks" mentioned in this paper refers to the mathematical problem involving the economic situation,that is,the practical problem involving the economic field which can be solved by mathematical knowledge,thoughts and methods.In this paper,economic situation mathematics in Chinese primary and secondary school mathematics textbooks from 1902 to 1949 is taken as the research object,text research method,case analysis method and comparative research method are used as the main research methods,and the development course of Chinese primary and secondary school mathematics textbooks from 1902 to 1949 is promulgated according to the school system and curriculum standards.It is divided into three development stages: late Qing Dynasty and early Republic period(1902-1922),curriculum outline period(1923-1928)and curriculum standard period(1929-1949),aiming at a comprehensive and systematic study of the characteristics of the compilation of economic situation problems in mathematics textbooks,and strive to provide reference and inspiration for the compilation and teaching of economic situation mathematics problems.This paper discusses from three parts,the specific content is as follows:The first part is the sorting,statistics and analysis of the types and distribution characteristics of the economic situation in the late Qing Dynasty and the Republic of China.This section defines what the mathematical problem of the economic situation is.The second part analyzes the design characteristics of mathematical problems in economic situation.Based on the statistics of the previous part,it mainly analyzes from four aspects:analysis of the design types of economic situation mathematical problems in the late Qing Dynasty and the Republic of China period,analysis of the differences in the design of problems in different grades in the same situation,analysis of the design of complex economic situation mathematical problems and a brief analysis of the economic situation mathematical problems in the textbook of the People’s education edition.In this part,the design method of mathematical problems of economic situation in the late Qing Dynasty and the Republic of China is analyzed and the design method of mathematical problems of economic situation is proposed.The third part,economic situation mathematical problem case design.Based on the design analysis of economic situation mathematical problems in the second part,the design principles of economic situation mathematical problems are concluded,and then the case design of economic situation mathematical problems is carried out,including the design of economic situation mathematical problems and the teaching design of economic situation mathematical problems.This part solves the problem of how to design the case of mathematical problems in today’s economic situation.This paper mainly draws the following conclusions:(1)From the types of economic situations in textbooks of the late Qing Dynasty and the Republic of China,interest situation occupies the largest proportion;(2)From the perspective of mathematical knowledge related to economic situation problems,the field of arithmetic is mainly distributed in percentage knowledge,and the field of algebra is mainly distributed in logarithm and series knowledge;(3)Analyze and summarize the design characteristics and principles of nominal-free economic situation problem,spiral-permeating nominal-oriented economic situation problem and professional-explanatory economic situation problem in textbooks of the late Qing Dynasty and the Republic of China;(4)Based on the above analysis,following the design principles of economic situation problems and combining the current education system,historical background and students’ cognitive level,the class hour teaching of mathematical problems in economic situation is implemented,and the problem design cases and instructional design cases of mathematical modeling classroom teaching of complex economic situation problems are constructed. |
