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On The Plane Vector Teaching Based On The Cultivation Of Mathematical Operation Literacy

Posted on:2021-01-14Degree:MasterType:Thesis
Country:ChinaCandidate:Y YuanFull Text:PDF
GTID:2427330620469410Subject:Education
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Mathematical computing ability is one of the six core mathematical literacy,which not only affects the development of other mathematical literacy,but also affects the learning of other disciplines,so the study of mathematical computing ability is very important.The Ministry of Education is currently reforming the curriculum for high schools,and new Langzhong mathematics curriculum standards have been released.At the same time,vector is a new operation object that students contact in high school.Vector has its own operation system.Operation is the way to solve problems.Vector is the bridge between "number" and "shape." Paying attention to the characteristics of computing in teaching is beneficial to improving students' mathematical computing ability.So,it is very important to understand the level of mathematical operation ability of high school students and improve students' mathematical operation ability based on plane vectors.At the same time,it is especially important to understand the value awareness and understanding of vector operators in problem solving,the methods of improving students 'mathematical operation ability,and the teaching methods of using planar vectors to improve students' mathematical operation ability.Through the study of "General Senior High School Mathematics Curriculum Standard(2017 Edition)" and the reading of related literature,the value and connotation of mathematical operations have been roughened.Mathematical operations are operations that use objects based on a certain understanding of the operation objects The ability of rules to solve problems is mainly reflected in the understanding of the operation object,the exploration of the operation direction,the selection of the operation method,the design of the calculation program,and finally the result of the problem.Based on the previous research,the mathematical operation level is divided.Combine the knowledge points of the plane vector to make corresponding questionnaires,enrich each test question score,and divide the corresponding mathematical operation level according to the score.Then test the second year students to understand that their operation can reach the level.In addition,they also analyze the typical errors in detail,and understand that they use plane vector operations to solve problems in the process,and analyze the causes.In order to have a certain understanding of the current situation of high school students' mathematical computing ability and grasp the problems of student computing,while expanding theoretical knowledge,they can give some advice to front-line teachers.The test found that the school is generally at level 3 and the score is in the low segment of level 3,which indicates that the mathematical operation level of the entire school is not high.The research results also found that there is a difference in the mathematical operation ability of the students at the same level,and the level is better.Of students in the class have a higher level of mathematical operations.Although the scores of girls are higher than those of boys on the test results,it is found through testing that there is no essential difference between the two.At the same time,it is also found that students have problems in using vectors to solve problems.The following questions:(1)some students do not understand the concepts of plane vectors thoroughly,such as equality vectors,collinear vectors,etc.(2)the algorithm of plane vectors is not well understood,and(3)the use of vectors to solve problems In the process,the ability to combine mathematics is still not strong.(4)It is difficult to convert mathematical problems into vector calculation problems.(5)The thinking is not comprehensive.The thinking set is not overlooked,and the problem cannot be solved comprehensively.The following conclusions are obtained from the results of interviews with teachers:(1)the understanding of the operational value of introducing high school curriculum into planar vectors is not comprehensive,(2)the characteristics of vector problem solving are not fully grasped,and(3)the students 'level of computational literacy on planar vectors is relatively Low,(4)students' problems in computing literacy are more prominent,(5)plane vectors are conducive to improving students' mathematical ability,and(6)teachers' teaching methods need to be improvedIn response to the conclusions drawn from practical research and analysis of teacher interviews,the author gives some personal suggestions:(1)careful guidance,attention to the teaching of vector concepts,(2)the relationship between mathematical object operations and practical problems,(3)Pay attention to operations,strengthen the understanding of the nature of vector operations,(4)experience the deductive characteristics of the construction of the operation system,(5)appreciate the value of vector operations in problem solving,(6)combine numbers and shapes,and synchronize from the two aspects of numbers and shapes Grasp vector...
Keywords/Search Tags:mathematical operation ability, plane vector, level research
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