A Teaching Case Study For Cultivating High School Students' Abstract Literacy In Mathematics

Mathematical abstraction is the basic idea of mathematics and an important foundation for the formation of rational thinking.It is one of the six core qualities of mathematics proposed in the "General High School Mathematics Curriculum Standards(2017 Edition)".And it is also a hot research topic in mathematics education.As a first-line math teacher,we should pay attention to how to cultivate students' mathematical abstract literacy in the classroomIn this research,three consecutive new lessons from two teachers were selected as the research object,and their teaching behaviors were compared through video analysis.With the help of Nvivoll,the recorded video of the 6 lessons is transcribed,and the classroom teaching process is divided into the familiar situation stage,the similarity recognition stage,the integration similarity stage,and the application and construction stage.The transcribed content is compared and analyzed in stages.The similarities and differences of the teaching behaviors of the two teachers summarize the advantages and areas for improvement of the teaching behaviors of the two teachers in cultivating students' mathematical abstract literacy.Research shows that both teachers use language presentation and questioning as their main classroom teaching behaviors.Teacher A is good at combining oral language with graphics and body language,to make image thinking and abstract thinking harmonious and unified.Besides,high-level questions are asked frequently and she pays attention to guidance in the practice application.However,there are too many memorable questions and the frequency of questions is too high.Teacher B is good at guiding and giving examples,turning abstraction into concrete,but not good at using the intuitiveness of blackboard writing and graphics.Combining the advantages of the two teachers' teaching behaviors,and giving suggestions for the improvement of the mathematics abstract literacy in J the classroom teaching of the two teachers' teaching behaviors:(1)the familiar situation stage:? make good use of guiding language;? use teaching aids in a timely manner;? attach importance to memorizing questions;(2)the similarity recognition stage:?list appropriate examples;?make full use of graphics and multimedia;?initiate and maintain classroom discussions actively;?make good use of guided questions;(3)the integration similarity stage:? make good use of interpretive language;? writing on the blackboard properly;? pay attention to guiding and understanding questions;(4)the application and construction stage:? make good use of interpretive language;?pay attention to step demonstration;?use evaluation sexual questions as appropriate;? give reading guidance appropriately;? give practice guidance in due course.