Research On The Teaching Design Of High School Mathematics Concept Course Based On The Cultivation Of Mathematics Abstract Literacy

Mathematical abstract literacy is a key component of the six mathematics core literacy of high school.It should have a high degree of attention to students' long-term significance in learning mathematics knowledge and personal development.The process of forming mathematical concepts should be a process of mathematical abstraction.However,in the actual classroom teaching,the process of concept formation is not effectively implemented.Therefore,this thesis aims to cultivate students' mathematical abstract literacy by studying the principles and approaches of high school mathematics concept teaching design.On the basis of reading a large number of related literatures,this thesis firstly uses the literature research method to analyze the connotation,level division and cultivation methods of mathematical abstract literacy,and through the analysis of the current situation of the teaching design of high school mathematics concept course,and then extract the teaching design theory of high school mathematics concept course.Secondly,based on the above research results,the principles and approaches of conceptual teaching design for cultivating mathematical abstract literacy are explored.Finally,this thesis uses the high school textbook of PEP as the material,analyzes and expounds the design of each link in the teaching of high school mathematics concept based on the abstraction of mathematics abstraction,and then designs the case design of the concept of function and the concept of vector,implementing and improving so as to cultivate the cultivation of mathematical abstract literacy.Based on the above research,this paper has the following conclusions:(1)The development of students' mathematical abstract literacy should be one of the teaching objectives of high school mathematics concept teaching.Combining the connotation ofmathematical concepts with the way of mastering the learning of mathematical concepts enables learners to experience a complete mathematical abstraction process.(2)The teaching design of high school mathematics concept class based on mathematical abstract literacy training should meet four principles.They are procedural principles,mathematical principles,interesting principles,and developmental principles.(3)Five ways to design high school mathematics concept based on mathematical abstract literacy: create problem situations,provide abstract conditions,and introduce concepts.Experience mathematical abstraction,generalize the essential attributes,and form concepts.Organize cooperation and exchange,clarify the context of knowledge,and understand concepts.Experience variant training,highlight essential features,and consolidate concepts.Design life examples,solve complex problems,and apply concepts.