Research On The Learning Errors And Influencing Factors Of "Similar" Of Junior Grade 3 Students

In the 21 st century,learning to learn has become a necessary quality for personal development.Learning from errors is a good way of learning.The essence of students’ mathematics learning errors is the representation of their mathematical thinking process.The analysis of them is a valuable resource to cultivate students to be happy to learn,good at learning and diligent in reflection."Similarity" itself and its application process contain rich mathematical ideas,which is the focus of junior high school students’ learning and the content with more errors.Therefore,based on Professor Dai Zaiping’s classification of mathematical problem-solving errors and related learning theory,this paper constructs an evaluation framework,in order to help teachers and students correctly understand and deal with the errors in "similar" learning on the basis of understanding learning errors and influencing factors of "similar" of junior grade 3students,and put forward corresponding strategies to promote "similar" teaching.284 junior grade 3 students and 4 mathematics teachers from 3 middle schools in Lanzhou City,Gansu Province were randomly selected as the research objects,this paper researches on the learning errors and influencing factors of "similar" of junior grade 3 students by using the methods of literature research,investigation(test,questionnaire,observation,interview)and text analysis,the conclusions are as follows:There are different degrees of "similar" learning errors among junior grade 3students.The specific error types are knowledge errors,expression errors,psychological errors,logical errors and strategic errors.At the same time,the specific manifestations of each type of errors are:(1)intellectual error:incomplete understanding of knowledge,such as the concept,nature and judgment of "similar";incorrect topic analysis;equation operation error;(2)expressive error: miswriting;omission;not simplification;(3)psychological error: lack of memory;neglect of subject conditions;negative influence of thinking set;(4)logical error: insufficient arguments,specifically in the proof similar triangles,classification discussion and abandonment of roots;lack of classification consciousness;unequal transformation;(5)strategic error: pattern recognition errors,failure of problem transformation,and neglect of the thinking method of "combination of number and shape".Learning habits and teachers are the main factors affecting students’ similar learning errors.(1)learning habits are the main internal factors that affect junior grade 3students’ errors in "similar" learning;(2)teachers are the main external factors that affect junior grade 3 students’ errors in "similar" learning.Based on the above analysis,this paper puts forward the following teaching strategies to promote the "similar" learning of junior grade 3 students:(1)pay attention to the essence of mining,deepen the understanding of "similar" knowledge;(2)skillfully use information technology,standardize the "similar" mathematical expression;(3)with the help of life examples,mobilize students’ positive emotions;(4)emphasize the basic schema,develop students’ mathematical thinking;(5)infiltrate thinking methods,promote the optimization of students’ strategies.