A Practical Study On The Teaching Strategies Of The "Derivatives And Applications" Of Senior Middle School Mathematics

It is known to us all that the mathematical knowledge is understood during the study of math. The process of understanding is an important part of math learning.Only if the students understand and apply the mathematical knowledge, which can improve their mathematical ability.In recent years, the modern cognitive psychology theory, teaching and learning methods of research have been a major progress, the relevant understanding of mathematics is also more and more. These studies reveal some basic questions of understanding from different aspects and levels, and provide a basis for the study of mathematics understanding and teaching system.. However, after teachers our the existing research thinking found currently research of mathematical understanding of books or articles although also put forward some teaching strategies and concrete measures of teaching, but the pertinence is not strong, resulting in us to it whether really can guide our normal teaching doubt.Firstly, this paper uses the literature analysis and personal understanding of mathematical understanding, the connotation of "mathematical understanding" as the definition of students on the basis of the existing mathematical knowledge and experience, the establishment of proper knowledge of mental representation, and gradually form a rich, mastery of the knowledge network thinking process dimension.In the analysis of the status of derivative knowledge learning of high school students,through the test volume tests and questionnaire survey and interviews of teachers and students, to high school into the round review of the students in learning derivative,mathematical understanding difficult formation of the root causes are analyzed. Then use theory study method to analyze the characteristics of different types of Mathematics(declarative knowledge, procedural knowledge and process knowledge)knowledge, develop three kinds of mathematical knowledge and mathematical understanding of specific teaching strategies, and implemented in the third round review class teaching: 1, to promote the understanding of declarative knowledge:(1)the introduction of situations, put forward the question;(2) activation, a mixture of old and new;(3) those of the old and new, restructuring;(4) improved schema,provide a counterexample. 2, to promote understanding of procedural knowledge:(1)to enable students to master the static form of procedural knowledge;(2) stimulate static knowledge to transform to the dynamic knowledge of procedural knowledge;(3)the design of variable type training, promoting static knowledge into dynamic skills;(4) a combination of production, forming a production system. 3, promote process of knowledge:(1) strengthen the emphasis on students’ original knowledge system;(2)to strengthen the students’ activity, experience, the degree of attention;(3) one by one to break through the difficulty, spiral rise;(4) improve the students’ knowledge system,and help achieve decency;(5) strengthening of the cultivation of the students’ reflective consciousness;(6) mathematics teaching show the mathematical practical,encourage students to the mathematics used in life;(7) advocating diversified forms of examination.According to the research of "derivative and Its Applications" recitation teaching experiment, this study found that real understanding of mathematical knowledge in different kinds of knowledge are to be understood, for knowledge classification adopt different teaching strategies to raise the comprehensive ability and mathematics knowledge understanding of students in mathematics.