| As an important part of mathematics teaching in high school,exercise teaching has always been the focus of academic circles.Aiming at the problems of mathematics exercise teaching in high school at this stage,this paper attempts to provide scientific theoretical guidance for exercise teaching,which is based on Polya’s table of "How to Solve It" and the philosophy of thematic exercise teaching.The purpose of this paper is to avoid the randomness of exercise teaching,and improve the quality of mathematics exercise teaching in senior high school.The paper makes a theoretical research and practical exploration on mathematics exercise teaching under the guidance of Polya’s table of "How to Solve It" by the literature research,questionnaire survey,case analysis and other research methods.Firstly,the paper combs the relevant concepts of exercise teaching and the relevant researches on Polya’s table of "How to Solve It" by the literature research methods.Secondly,in order to know about the current situation of high school mathematics exercise teaching,the paper investigates 284 high school students and 42 high school mathematics teachers.Finally,on the premise of the necessity and feasibility of Polya’s table of "How to Solve It" applied to the high school mathematics exercise teaching,the paper constructs the exercise teaching processes and proposes the teaching strategies for different exercise teaching classes under the guidance of the table.Both of them are applied to instructional designs of basic inequality exercise courses eventually.The main conclusions are as follows:（1）The survey of mathematics exercise teaching in senior high school shows that:Students have low learning interest,poor learning performance,unsatisfactory learning effect in mathematics exercise lessons;The ways of exercise teaching are not actually consistent with the four stages of Polya’s table of "How to Solve It".（2）After integrating the contents of Polya’s table of "How to Solve It",this paper constructs mathematics exercise teaching processes which include four steps,two-party guidance and one participation."Four steps" means that mathematics exercise teaching consists of four steps: problem-examining teaching,problem-analysing teaching,solution-writting teaching and problem-rethinking teaching."Two-party guidance" means that students should be guided in problem-solving methods and non-intelligence factors."One participation" refers to the metacognitive participation.（3）Based on Polya’s table of "How to Solve It",this paper puts forward different teaching strategies for three types of mathematics exercise classes: The teaching strategies of "make small step" and "return to definition" are suited for the knowledgeconsolidated exercises course;The teaching strategies of "effective questioning","formulate schemes","variant and expansion" are appropriated for the problem-solving exercises course;In addition,the strategies of "examine the topic" and "rethink profoundly" should be adopted in the model-constructed exercises course. |
