High School Vector Concept Teaching Practice Research To Promote Mathematics Understanding

In modern education teaching,the comprehensive development of students is emphasized,and various teaching methods are constantly emerging.Modern educational technology contains different teaching strategies.The emergence of APOS theory promotes the reform of teaching strategies.With this theory,designing teaching cases can guarantee education.The effectiveness of the activity.Education is a process of cultivating a comprehensive person.It has the task of imparting knowledge and can have a positive impact on students' attitudes,feelings and values.Mathematics is included in basic education and is an important component of basic education.Under the background of contemporary education and teaching reform,new requirements are put forward for the transformation of mathematics education methods.The mathematics teaching method should realize the transformation from traditional teaching to modern interaction.In the process of teachers pursuing teaching goals,only the combination of mathematical language,mathematical concepts and teaching ideas can help students to establish new knowledge structures and improve their learning ability.The concept of mathematics is the basic component of mathematics teaching activities.Conceptual teaching emphasizes the use of student reasoning and logical ability as the benchmark.This not only helps students to build new and old knowledge,but also improves students' logical thinking ability and helps students.The improvement of emotional value.Based on the above background,this paper studies the teaching of mathematical concepts using APOS theory.The purpose of this paper is to rethink the shortcomings of vector teaching under the traditional teaching concept,and to explore the basic ideas of applying APOS theory to guide high school mathematics vector teaching.The teaching operation mode of APOS theory applied in vector concept teaching is analyzed,and teaching experiment cases are designed.In the research,the literature analysis method,the questionnaire survey method and the statistical analysis method are used.The literature analysis method is used to expound the characteristics of the mathematical concept.The concept teaching process divides the implementation stage of the concept teaching,including concept introduction,understanding,and Consolidation,system construction,etc.,teachers can choose appropriate teaching methods to help students acquire the concept of mathematics;use questionnaire survey to investigate students' understanding of vector concept classification in basic problems,students' reaction in vector addition;In the study,the statistical analysis method was used to analyze the students' response to the vector concept teaching after the teacher implemented the APOS teaching strategy,and then proposed a detailed teaching strategy.The research results show that mathematics understanding is the core idea and goal in mathematics curriculum standards.It is the basic path to help students acquire new and old knowledge systems.In order to strengthen students' understanding of mathematics understanding,teachers can use appropriate APOS theory to design new teaching.activity.Under the background of the gradual development of education,mathematics teachers should pay more attention to the application of new education and teaching methods,and construct a new conceptual knowledge system from the horizontal and vertical aspects to provide ideas for the study of mathematical concept teaching strategies.