The Design And Practice Research On The Informational Concept Teaching Mode Of "Advanced Mathematics" Based On APOS Theory

As the logical starting point of the "Advanced Mathematics" teaching,the basic concept is not only the basis of students’ cognition,but also the core of students’ improving their thinking ability.Only when students have a deep understanding of the concepts can they correctly understand mathematical ideas.In order to effectively master the reasoning and analysis skills and computing skills.In the context of the higher education information age,information technology has provided effective technical support for teaching reform.In addition,the introduction of the apos theory has also brought new ideas to the teaching of Advanced mathematics concepts.Therefore,reforming the current teaching mode of the concept of the "Advanced Mathematics" has certain significance and value.This paper aims at the problems of incomplete design of teaching threedimensional goals,passive learning,and insignificant teaching effects.It combines information technology with the apos theory,and uses literature analysis,survey research,and experimental research methods have constructed a new concept teaching mode and verified the effectiveness of the teaching effect under the guidance of this mode.This article first comprehensively analyzes and researches related literature on the teaching of higher mathematics concepts at home and abroad,the research on advanced mathematics concepts based on apos theory and informatization teaching of higher mathematics.Then,it analyzes the teaching mode and current status of the concept of "higher mathematics".Based on this,the teaching mode of the teaching program is designed in the order of teaching preparation,activity phase,program phase,object phase,and schema phase,and the characteristics and advantages of the new teaching mode are explained through comparison with the traditional teaching mode.Taking the concept of limit as an example,the whole process of teaching limit concept is designed,and the teaching mode is put into practice.The data from the experimental class,control class student scores,questionnaires,post-school interviews and other data show that students’ Higher Mathematics has a high degree of recognition of the informational concept teaching mode.The teaching design under this mode has played a positive role in students’ learning effects,and can help students better understand concepts and construct concept schemas.