Research On Instructional Design To Promote Deep Learning Of High School Mathematics From The Perspective Of APOS Theory

The current era is undergoing great changes,informatization and intelligence are also further in-depth development.These all have brought about the explosive growth of information and the rapid replacement of knowledge,which requires students to master the ability to adapt to the challenges and competition of the future society.At the same time,in the basic education,the concept of examination-oriented education is like the gangbusters which hinders the all-round development of students.How to further deepen and promote the new curriculum reform,cultivate the core literacy of students,avoid the shallow of subject knowledge and the superficial thinking of students becoming the core embodiment of subject teaching have become the issues concerned by the education circle.The proposal of "Deep Learning" is a response to the needs of The Times and the requirements of the curriculum reform.Its purpose is to cultivate students' high-level thinking,to master the ability of problem solving,and to obtain personal significance development.Therefore,the needs of The Times and the requirements of the curriculum are calling for the emergence of "deep learning".This research is carried out under this background,and aims to promote the deep learning of students with the in-depth teaching of teachers.First of all,this research has consulted and sorted out the research materials about deep learning at home and abroad.Then,this research studied the definitions given by different scholars,combined with the connotations and characteristics of deep learning,and finally defined deep learning as: Deep Learning is a kind of meaningful learning in which students,under the guidance of teachers,take the initiative to use diversified learning strategies around challenging learning topics,learn new ideas and facts in a critical and understanding attitude,form high-level thinking and obtain development.At the same time,the connotations of deep learning are summarized as follows: Student development-oriented;Focus on critical understanding;Emphasis on integration construction;Student-centered;Develop higher-order thinking;Advocate active lifelong;Problem-oriented solution;Secondly,according to the connotations and characteristics of deep learning,this research designed a relevant questionnaire,and evaluated and understood the current situation of high school in deep learning in mathematics through a questionnaire survey of senior high school students in Zhejiang Province.The survey data showed that students performed well in the dimension of attitude and motivation,but their intrinsic motivation is lacking;critical,questioning,thinking and communication dimensions are better,but need to be improved;the situation is not optimistic in terms of constructing connections,reflecting and summarizing,and transferring application dimensions.At the same time,there is a positive correlation between students' performance in each dimension,and gender difference exists.Male students are better.But generally speaking,the current situation of "deep learning of mathematics" of senior high school students is poor.Thirdly,this paper studies and analyzes each stage of APOS theory,and summarizes the characteristics of teaching mode under APOS theory.At the same time,this paper analyzes and summarizes the existing deep learning process models,integrates the connotations and characteristics of deep learning,and constructs a general process model of deep learning based on this.The model is divided into four stages,from the "deep learning preparation stage" before the formal classroom,to the "knowledge active construction stage" and "knowledge application stage" in the formal classroom,and the "summary and evaluation reflection stage" throughout the entire process.At the same time,there are several small links under each stage.Fourthly,according to the characteristics of the teaching mode under the APOS theory and the process model constructed,the strategy of using the APOS theory to promote each stage of mathematics deep learning is proposed in this paper,and based on this,an instructional design that combines the APOS theory to promote the deep learning of mathematics is given.Finally,this study is summarized,the shortcomings of which are analyzed,and the future research work is prospected.