Advanced Study Of Core Concept In The Space Vector Of Senior High School Mathematics

In the context of the new era,knowledge in all fields has shown an "explosive" development,but human brain capacity is relatively limited,which makes the contradiction between brain capacity and knowledge more and more intense.In order to alleviate this contradiction,we should shift from the pursuit of "shallow and wide" teaching to the pursuit of "less and fine" teaching."Less but better" teaching requires teachers to select "core concepts" in the teaching field as the learning content for students in a limited time,so as to meet the requirements of "less".At the same time,the use of advanced learning can help students understand the learning content more deeply,so as to achieve the purpose of "refinement".The use of advanced learning teaching methods for the teaching of core concepts is conducive to teachers to describe the learning path and carry out teaching scientifically,so as to guide students to learn core concepts from simple to complex,Finally,it can help students achieve a deep understanding of the core concepts.Based on this,the author takes the relevant contents of "space vector and solid geometry" in the ordinary high school textbook · mathematics · selective compulsory Volume 1 of people’s education version a as the carrier to study the advanced learning of the core concepts.First of all,the author uses the literature analysis method,on the basis of consulting a large number of literature materials,analyzes the research background,and expounds the research significance and innovation by combining the research contents and research methods.In addition,based on the expression of some core concepts with high recognition and advanced learning concepts,This paper defines the concepts of core concepts,mathematics core concepts,advanced learning and advanced learning in mathematics in this study,and then sorts out and analyzes the existing research results of core concepts,advanced learning and spatial vector by using literature analysis.At the same time,it also sorts out and expounds the theoretical basis of this study,namely the theory of proximal development zone and the theory of APOS.Secondly,the author uses the questionnaire survey method to investigate the mathematics teachers and students in the first-line senior high schools,so as to get a comprehensive understanding of the current teaching situation of the core concepts,and find out the problems existing in the current teaching of the core concepts by sorting out and analyzing the data.Thirdly,according to the survey results of the questionnaire,combined with relevant literature and educational theories,the author formulated the principles of determining the core concepts: the connecting link between the preceding and the following,the value-oriented principle,and the quality-oriented principle.Combined with the survey results of the first-line senior high school mathematics teachers,the author sorted out the core concepts of "space vector and solid geometry".In addition,it also expounded the principles of constructing the advanced learning of the core concepts: scientific principle,gradient principle,developmental principle,and combined at the same time.Finally,the author uses the case analysis method,the principle and framework of advanced learning of core concepts,and expounds the practice of core concepts in classroom teaching from two aspects: case optimization and effect analysis.Through teaching practice,it can be found that teaching core concepts by advanced learning can help students deepen their understanding of concepts and better grasp the essence of concepts.