High School Seniors Plane Vector Research On Cognitive Level And Teaching Strategies

Senior is the last year of high school,for mathematics,senior study always focus on review and consolidation,reorganize the high school knowledge to practice,in order to achieve the purpose of practice makes perfect.In actual teaching,however,teachers often find senior students have different cognition about some knowledge,students and teachers' thinking mode do not match,students often meet all kinds of difficulties while they solve the problem,and with the review,the students' mastery situation of knowledge can be changing,cause senior review has no pertinence,affect the review efficiency.Plane vector is one of the most fundamental concepts in mathematics,at the same time has the characteristics of "number" and "shape",has special significance in the middle school mathematics.In this article,through analysis of senior students to the teaching requirements of plane vector,vector on the plane knowledge into concept,operation,and basic theorems and application of four dimensions,based on the SOLO theory,take the test and the interview method to explore the high three students cognitive level plane vector in different stages to review all dimensions characteristics and the reasons,and presents a plane vector teaching and review of the pertinent advice.Test results show that:(1)after the first round of review,senior students' cognitive level of plane vector will have significantly increased than before the review,while the second round review in the round review will further consolidate the foundation of ascension effect,but the increase of the round review small;(2)the plane vector dimension effect of cognitive level in different phases of review is not the same.Plane vector operation promotion effect is most obvious,plane vector concept,basic theorem and application increases are relatively small,especially the application of plane vector,the rise is very limited;(3)different students in different stages of plane vector is different cognitive level,most of the senior students can through the review of plane vector of each dimension of knowledge to master,but the number of students in E-4 level fluctuation is relatively small,a few students can improve after senior review to E-4 level.The interview results show that:(1)before senior review,students forget much knowledge of plane vector,through the fi round of review can effectively improve the plane vector cognitive level,this is the test result in the second round review is round the review promotion effect is small;(2)most of the students in the new study is not solid,concept to master the application this unstable in plane vector is short,this also reflected from the side plane vector application promotion effect in the third year review is the most limited,need through the emphasis on perfecting the concept teaching to ascend;(3)after the senior review,different levels of students cognitive level for plane vector effect is not the same,this also is most of the students can't through the review will increase cognitive level plane vector of each dimension to E-4 levels.In view of the senior students' plane vector cognitive level,the relevant teaching suggestions are given:(1)pay attention to the first round of senior review,senior students should catch the opportunities of the first round of review to improve plane vector cognitive level,can not count on the second round review;(2)in new lessons,teachers should pay attention to the concepts,help students to understand the knowledge of the emergence and development process,in the senior review,teachers should pay more attention to the concepts,cannot simply list but neglect concept knowledge teaching;(3)in consideration of different levels,stratified teaching review,promote efficiency of different levels of students to review.