Research On The Problem Solving Strategies Of Permutation And Combination In High School Under The New Curriculum Standard

Compared with the Curriculum Standard for Mathematics of Ordinary High Schools（experimental draft）,the Mathematics Curriculum Standard of Ordinary High Schools（2017,annual edition）changes the counting principle unit from the teaching content of elective 2-3 to the teaching content of elective compulsory courses.After the original liberal arts division of arts and sciences,liberal arts learning elective 1 series,science learning elective 2 series,liberal arts does not learn a chapter of counting principle.Now the counting principle is changed to elective compulsory course,the teaching object has become all high school students,not only for science students.Although teaching hours are reduced,its difficulty and importance have not been reduced.After many course reforms,the class time of the arrangement combination increased,but was not removed,indicating that the arrangement combination is relatively important.This article is written by various methods such as literature research method,experience summarization method,and test paper method.First of all,the author collected various literatures and related materials about the permutation and combination of high schools,and made a detailed understanding of the permutation and combination related knowledge.Secondly,through the comparative analysis of different versions of the curriculum standards of ordinary high schools in recent years,the requirements for permutation and combination of curriculum standards are carefully analyzed,and it is understood that permutation and combination are a key point and a difficulty in high school mathematics learning.By sorting out the concepts of permutation and combination and common permutation and combination problems,the author gives twelve permutation and combination problem-solving strategies and examples of using related methods.Finally,by investigating the teaching and learning problems of teachers and students in our school,we can grasp the teaching situation of teachers before and after class,investigate the learning situation of students,and analyze the types and causes of errors.