| Function can objectively reflect the mathematical relationship and change law between variables in the real world,so it is widely used.In junior high school mathematics,quadratic function,as an important mathematical model,is an important carrier of function thought,equation thought,combination of number and shape,classification discussion,equivalent transformation and so on.It is also the basis of learning quadratic inequality and conic curve in senior high school.It is a connecting link between the preceding and the following for students to deeply study the mathematical properties of functions after entering senior high school.How to help junior high school students learn quadratic function well is an urgent problem for junior high school mathematics teachers.First of all,through the collation of literature,the main obstacles for students to learn quadratic function are: lack of confidence,lack of basic operation ability,difficulty in understanding abstract mathematical knowledge,unable to flexibly transform the three forms of expression of quadratic function,and no consciousness of combination of number and shape.Then through the analysis of the questionnaire survey,it shows that students’ learning obstacles of quadratic function are mainly reflected in the following aspects:(1)Knowledge understanding: the understanding of concepts and properties is confusing and not thorough;(2)operation ability: the intersection point,vertex and the maximum value can not be solved quickly and accurately;(3)problem-solving ability: misunderstand or or miss important conditions of the topic,or can not make full use of the conditions;(4)problem solving strategy: there is no classified mastery method,and can not find the breakthrough of clever method according to the conditions;(5)mathematical thinking: No They can make complex problems simple and abstract problems concrete by complementing "number" and "shape";(6)typical questions: they are not proficient in the existence of common special triangles andquadrangles,as well as the perimeter and area of the maximum value;(7)emotional attitude:they do not pay enough attention to the study of quadratic function and are afraid of difficulties.In this paper,SPSS 23.0 is used to process the questionnaire,Pearson correlation is used to judge the degree of correlation between the problems,and it is found that there is a certain correlation between the problems.There is a positive correlation between the students’ interest in learning quadratic function and the difficulty of learning quadratic function;there is a significant positive correlation between students’ interest in learning quadratic function and the difficulty of learning quadratic function;there is a significant positive correlation between students’ memory of quadratic function and listening habits and whether or not to read textbooks.At the same time,according to the situation of the test paper,using the algebra cognitive solo theory,we analyze the students’ ability obstacles in the process of learning quadratic function and the constraints of problem-solving strategies on learning level.Finally,according to Polya’s problem-solving theory and the duality theory of A.Sfard’s mathematical concept,this paper puts forward feasible coping strategies from both teachers and students.On the level of teachers: first,pay attention to the concept class,pay attention to the spiral rise of knowledge;second,pay attention to the choice of examples,strengthen the teaching of structured problem-solving;third,pay attention to the creation of scenarios,pay attention to the connection between mathematics and real life;fourth,pay attention to "ten thousand questions return to one",strengthen the reflection and induction of classroom teaching;fifth,pay attention to layered teaching and improve together.On the level of students,the first is to form a scientific learning habit;the second is to form a habit of reflection;the third is to exercise a strong will.The above feasible strategies provide theoretical support and practical help for junior high school students to eliminate the obstacles in learning quadratic function. |
