On The Cultivation Of Students' Mathematical Innovation Ability By Using Hierarchical Teaching

With the continuous improvement of the level of science and technology,modern mathematics in the information age has broken through the original restrictions,and gradually began to be widely used in various fields of life,and has become another major parallel with the social sciences and natural sciences.Science discipline.Since ancient times,the use of mathematics has played a very important role in the development of human beings.The use and innovation of mathematics have also been the driving force for social development in modern society.The ability to apply mathematical theory and innovation has become a key part of the cultivation of mathematical literacy.People have begun to pay more and more attention to the use of mathematical language,innovation in mathematical technology,and the ability to apply mathematical thinking to life to solve problems.Combining with life becomes the key to mathematics learning.However,although people's understanding of mathematics has improved,some old ideas and methods are still used in the process of practical teaching.Chinese students have been formally exposed to the subject of mathematics for the first time since elementary school.However,the students have only made some simple calculations on the training,and have not let them understand the usefulness of mathematics in practice,let alone make them actively teach the use of mathematics In life or innovate in mathematics.Therefore,how to make middle school students in the critical stage of concept development to cultivate the ability to innovate and apply mathematics has become a key issue in modern mathematics education.In this paper,a questionnaire survey is used to understand the current situation of high school mathematics innovation ability cultivation,analyze the existing problems and theircauses,and then summarize the principles and specific strategies of using layered teaching to cultivate students' mathematics innovation ability.On this basis,the author uses practical teaching to compare the differences between layered teaching and ordinary teaching in cultivating students 'mathematical innovation ability.Practical teaching also shows very significant differences,which shows that layered teaching is effective in improving students' mathematical innovation ability.