Junior High School Students Solve The Difficult Problem Analysis And Countermeasure Research Of The Function "moving Point Problem"

The mathematical “the moving point” that we contact in junior middle school stage is not the knowledge of certain module in mathematics,but integrating the knowledge learned in junior middle school.the point is often involved in senior high school entrance examination with higher score.it integrates the knowledge learned in junior middle school.such as the image of linear function,inverse proportional function and quadratic function,and the geometric figures of triangle,trapezoid,parallelogram,square and circle to the student comprehensive application ability and problem-solving ability.but,most students lose their head when solving such problems.The teachers also do not have specific teaching mode and methods to solve the problem.Therefore,aiming at the “moving point”involved when in junior middle school,we will research the difficulties,and table the corresponding teaching suggestions and strategic according to the students actual conditions.Thus,it may help the teachers to teach effectively and improve teaching quality and examination results,and also have practical significance on improving the students ability in solving and analyzing problems.The paper investigates and researches36 students and 28 teachers in Qinglong ManchuAutonomous County Gehetou Middle School,Yifu middle school and Qinhuangdao No.2 middle school with test paper,oral report and questionnaire methods The difficulties when the students solving “moving point” in the function the meaning;some students cannot accurately understand the motion process of point;some students cannot find the relationship between variables and invariants;some students are hard to get the function expression of two irrelevant numbers;some students consider not comprehensively and cannot find the moving nodes when discussing in different classifications;some students do not know to accept or reject the results.By analyzing the results of test paper,oral report and interview,the causes for students difficulties in solving the “moving point” in functions are:the students have weak foundation knowledge and cannot digest and master the knowledge as a whole;the students have poor reading ability and cannot understand the meaning;the students have fear and do not have confidence when facing “moving point”.The teachers do not use multi-media when teaching “moving point” and not have specific guidance method,effective teaching model in “moving point”.Most students use teaching method to make the students accept passively,while it is unable to maneuver the students enthusiasm.Some teachers do not summarize the type,method and law of “moving point”,and deepen the impression of themes that have been worked on students.From the aspect of teaching,the basic teaching requirements for “moving point”are put forward as for the difficulties existing in solving “moving point”in function;label the useful information in the figure;find variables;take the learned knowledge to present function expression;process the relations of each problem table the corresponding teaching strategy; tamper the students basic knowledge and pay attention to the knowledge connection;improve the students ability in reading and processing;arouse the students interest with learning “moving point”and make the students have confidence to sole the problem “moving point”;strengthen the guidance of solution and ideas;summarize and detail the type of moving points;effectively treat the worked moving point problems;the teachers shall improve the utilization rate of geometer sketchpad;As for the basic requirements and basic teaching strategy,the specific teaching measures are tabled and the complete teaching case and effective teaching model is given as for various types of “moving point problems ”.Finally,through practical detection,the students overcome the fear in solving “moving point problems ”.and produce interest and sense of conquest to moving point problems.They do mot feel at a loss about the teaching.The students master the basic methods and laws master“moving point problems ”.and improve their ability analyzing and solving problems.