Research On The Change Of High-level Arranged Combination Contents(1951-2004)

Arrangement and combination is not only the learning foundation of related content such as probability,but also the necessary knowledge of students' daily life.Since being introduced into Chinese middle school mathematics textbooks in 1923,the arrangement and composition content has always occupied a place in the textbooks.It is an important part of the middle school mathematics curriculum in China,and its specific content setting has been adjusted,and the overall preference is optimized.In order to explore the setting of the content of the arrangement in the high school mathematics textbooks,what kind of setting changes have been made to this day? This article is based on the mathematics curriculum standards(syllabus),and the 11 sets of high school mathematics textbooks from 1951 to 2004 The specific settings of the combined content in the middle are research content,mainly using literature research method,comparative research method to study the evolution process,and summarize the characteristics and cause analysis.First of all,according to the mathematics curriculum standards(syllabus),the mathematics education background is outlined in four stages,and the teaching instructions of the 14 curriculum standards(syllabus)for arranging the combined content are presented,and the emergence of 11 sets of textbooks and the macroscopic arrangement of the combinations are illustrated.The change of settings paves the way for the research of subsequent content.Secondly,the chapter introduces the introduction of two counting principles,the principle expression and the example configuration;and the concept introduction of the arrangement,the concept representation,the concept representation of the arrangement number,the derivation of the formula of the arrangement number,the full arrangement and its formula,and the example of the arrangement.The situation;and the concept introduction of the combination,the concept expression,the formula of the combination number formula,the two properties of the combination number and the case of the combined example;summarize the characteristics of the change.Thirdly,the situation of the exercises,exercises and review questions of the combined content is statistically analyzed from the material and difficulty,and the change process is analyzed to analyze the reasons for the changes.Finally,the conclusion is drawn: in terms of concept introduction,the introduction of problem material tends to be diversified,and the core features or key points of the introduced concept are gradually highlighted in the introduction process.The mapping is more perfect,and tends to lead to similar concepts.In the concept expression,the rigorousness,conciseness,relative independence and agreement of mathematical concepts are gradually reflected,and the use of symbols tends to be unified and functionalized.On the formula derivation,the derivation method changes relatively,and there is a total The development process of striving for change and changing progress has increasingly highlighted the professionalism of textbooks;in the setting of topics,the phenomenon of “reciprocating” of the title is prominent,the material tends to be diversified,and the difficulty changes irregularly.On the basis of inheritance,the remarkable features of development and innovation.On the basis of this,combined with the 2017 version of the new curriculum standard to give relevant textbook preparation recommendations.