Teaching Research On High School Mathematical Examples Based On APOS Theory

The example in teaching is the key point of learning knowledge,which is characterized by representativeness and typicality.At the same time,they also actively promote the development of students' ability to think and explore problems.The new round of high school curriculum reform also emphasizes the need to pay attention to the use of teaching materials,so the teaching of the example has also received a lot of attention in the actual classroom.However,in the actual investigation,the status quo of the example teaching is not optimistic,one of which is mainly the lack of theoretical guidance.APOS theory is also one of the few teaching theories based on the characteristics of mathematics.It is also very meaningful to conduct in-depth research on this theory.This paper mainly knows the students' current learning situation in mathematics examples from two aspects.On the one hand,through questionnaire research,it is found that the level of students' learning psychology,study habits and learning effects needs to be improved;on the other hand,through the form of test papers,According to APOS theory,the current situation of students' cognitive level is as follows: only57.4% of students reach the schema stage.Many students still stay on the surface of conceptual understanding,the level of cognition is not high,and the construction of concepts is incomplete,cannot use the concept flexibly.Through the analysis of the status quo of the example teaching,the research results show that the teaching effect of the mathematics example course based on APOS theory is better than the traditional teaching effect;based on the investigation and experimental research,the theory is applied to solve the above problems,and the following suggestions are proposed:(1)Select examples should be representative;(2)Present the exploration process of the example questions;(3)Pay attention to the students' problem awareness;(4)Guide students to construct a complete knowledge system.The above research aims to improve the attention and understanding of high school teachers and students on the examples,and hopes to provide a theoretical basis for the first-line mathematics teachers' example teaching activities.