A Study On The Difficulties Of Plane Vector Learning And The Causes Of The Freshmen In Senior High School

It is inevitable for students to have difficulties of mathematics learning in the process of mathematics learning,but form the perspective of teaching,it is hoped that students can learn and apply knowledge.It is of great theoretical and practical significance to investigate and study the learning difficulties of students in mathematics learning,to explore the reasons,and to put forward reasonable and effective suggestions.As one of the basic concepts of high school mathematics,vector is a bridge connecting geometry and algebra,and has a strong mathematical background.In addition,many problems are revealed when students study flat vector content.Therefore,based on the content of the plane vector,it is of positive significance to study the mathematics learning difficulties of the first-year students in senior high school,so that teachers can better understand the students,and then carry out targeted teaching.This research is based on the preliminary plane vector in Chapter 6 of compulsory 2 of senior high school mathematics human education version b,and mainly studies the following problems:(1)What are the difficulties in learning plane vector mathematics for the first grade students in senior high school?(2)What are the causes of learning difficulties in plane vector mathematics for the first grade students in senior high school?Based on Gagne's information processing learning theory,this study divides the learning process of students' plane vector into six stages: comprehension,acquisition,retention,recall,generalization and operation.Starting from the learning stage,this study explores the learning difficulties existing in Students' plane vector learning through questionnaire survey,wrong question performance analysis and interview,and then analyzes the causes of the learning stages with learning difficulties,and put forward targeted teaching suggestions.Through the research,the following conclusions are obtained: Firstly,students have learning difficulties in the acquisition,maintenance,recall,generalization and operation stage of plane vector learning.The reasons for the difficulties include inadequate understanding of vector concept algorithm and theorem,interference of previous knowledge,single knowledge storage mode and scattered structure,lack of mathematical thinking methods,low mathematical language conversion ability,weak self-monitoring ability and poor learning habits.Secondly,students' learning difficulties in the process of mathematics learning can be divided into difficulties in understanding,acquisition,retention,recall,generalization and operation.The causes of students' mathematics learning difficulties include inadequate knowledge understanding,interference of old knowledge,single and scattered knowledge storage mode and structure,lack of mathematical thinking and methods,weak transformation ability and self-monitoring ability,and poor learning habits.Based on the research conclusions,the following suggestions are put forward:(1)Pay attention to students' participation and deepen knowledge understanding.(2)Pay attention to the interference of previous knowledge and emphasize the memory of understanding.(3)Multiple representation of knowledge and increase storage methods.(4)Form a complete and systematic knowledge structure by using concept map.(5)Summarize and pay attention to the cultivation of mathematical thinking methods.(6)Strengthen the training of basic skills and continuously improve ability.(7)Pay attention to the cultivation of learning habits,improve self-monitoring ability.