The Binomial Theorem In High School Mathematics Teaching And Cultivation Of Creative Thinking

The binomial theorem is an important theorem in high school mathematics learning,and it is the basic content of the preparatory knowledge and course teaching for high school learning probability and statistics.The binomial theorem is of great help to the improvement of students' logical reasoning ability and mathematical operation ability.This article mainly focuses on the content of the binomial theorem in the textbooks published by the People's Education Press,combined with relevant literature and the reading research of early textbooks at home and abroad,through under the perspective of innovative thinking research,the binomial theorem teaching is aimed at developing a series of classrooms that are more suitable for the development of students' logical thinking.The first part mainly narrates the status quo,research background and significance of the binomial theorem at home and abroad.The second part describes the binomial theorem and its development process,mainly introduces the mathematicians who have made contributions to the binomial theorem and puts forward the value of the binomial theorem in middle school mathematics teaching.The third part specifically gives the content description of the binomial theorem in the mathematics textbook of the People's Education Edition,designing a teaching design that meets the academic conditions,and introduces the application of the binomial theorem in the real problems of high school math competitions through examples The term theorem is studied in the examination of the college entrance examination.The fourth part firstly generalizes the binomial theorem by polynomial and gives the proof of the polynomial formula for the binomial extension.Secondly,it gives the proof of the Abel binomial theorem,and makes different assignments to the Abel binomial theorem formula,which gives a lot of interesting The combinatorial identities of,once again associate some properties of matrices and determinants through the properties of Yang Hui's triangle,and apply these properties to solve related types of math problems,and cultivate students' innovative thinking in the learning process.