Research On The Application Of The Quadratic Function In The Senior High School Entrance Examination Under SOLO Classification Theory

Quadratic function is a mathematical model that reflects the changing law of the objective world.Not only in the field of mathematics but also in other fields have a wide range of applications.At the same time,because the quadratic function plays an important role in connecting junior high school with senior high school,the quadratic function is one of the knowledge points which must be tested in the middle school entrance examination.There are two main reasons for this: knowledge is a quadratic function itself is nonrepresentational,the second is the minds of students are thinking from experience to theory of mind.Quadratic function has the characteristics of strong synthesis and various types of questions,so teachers often adopt the tactics of reviewing questions by sea in the review process.This not only kills students' interest in learning,but also violates Babanski's "principle of optimization of teaching process",and can't reach the purpose of high-efficiency review.For nearly five years Qingdao examination by SOLO classification theory math quadratic function test question to carry on the level of thinking,the quadratic function review focused,effect is obvious.Based on this,this paper studies the following issues:1.Classify the thinking level of the test questions of quadratic function according to the SOLO classification theory;2.Conducted teaching design for the review of quadratic functions according to SOLO classification theory.In this paper,through collecting reading lots of literature at home and abroad,studies the SOLO classification theory origin,connotation and development of the application.In the meantime,through the examination of Qingdao city in recent five years mathematics to investigate the classification of the quadratic function and scholars both at home and abroad the research field of quadratic function,elaborated the research status of quadratic function at home and abroad,the research significance.Consult the related research further,interview the first-line teacher,confirm the student quadratic function review the existence question,the current level.On this basis,the review teaching plan of quadratic function is designed,and requesting teachers evaluation to teach plan and make suggestions for improvement.Through investigation,Found an examination mathematics test is focused on the correlation structure of quadratic function level,the main test image and the nature of the quadratic function.In addition to this,the quadratic function test questions can not only examine students' mastery and application of mathematical ideas,but also link most of the other knowledge in junior high school.Designing a review lesson plan for quadratic functions based on the SOLO classification theory can not only provide a reference idea for the review teaching of quadratic functions for junior high school teachers,but also effectively avoid teaching errors in teaching.