Investigation On The Present Situation Of Mathematical Representation Ability Of Senior Students In Primary Schools And Research On Cultivation Countermeasures

Mathematical representation ability is a procedural ability to explain mathematical concepts and solve mathematical problems by means of characters,symbols,graphics,tables and other representations.It is a topic of great concern in the field of mathematical education.China’s "Compulsory Education Mathematics Curriculum Standard(2011Edition)" has also strengthened the emphasis on students’ mathematical representation ability,focusing on the visualization of students’ thinking processes.Improving students’ mathematical representation ability not only helps students deepen their understanding of mathematical knowledge and promote the establishment of knowledge structure,but also helps students increase their interest and confidence in learning mathematics.Based on the research of mathematical representation ability at home and abroad,this paper uses the literature analysis method,questionnaire survey method and interview method to theoretically and practically study the current situation of mathematical representation and the level of mathematical representation ability of senior students.First,by means of literature analysis,the meaning of mathematical representation and mathematical representation ability,the level division of mathematical representation ability,and the research framework are determined.Secondly,the questionnaire survey method and interview method were used to investigate and analyze the status of mathematical representation and the ability of mathematical representation in senior elementary school students.The questionnaire included “the Questionnaire for the Present Situation of Mathematical Representation of Primary School Students” and “the Test Paper for Primary School Students’ Mathematical Representation Ability”.The investigation of the current status of mathematical representation includes four dimensions: representation knowledge,representation habits,representation strategies,and representation metacognition.The ability of mathematical representation is divided into three levels: representation reproduction,representation correlation,and representation construction application.Finally,through the statistical analysis of the questionnaire data,we can understand the current situation of mathematical representation and the level of mathematical representation ability of primary school students as a whole.The main contents and results of the study are as follows:The results of correlation analysis show that the status of mathematical representation of senior primary students is significantly related to their ability to represent mathematically;the academic performance of senior primary students is significantly related to their ability to represent mathematically,the academic performance and their ability to represent mathematically are directly proportional to each other.The results of the difference analysis show that there is a significant difference in the mathematical representation abilities of senior primary students of different genders,and that of female students is higher than that of male students.There is no significant difference in the mathematical representation ability of senior students in different grades.The results of the holistic analysis show that the level of mathematical representation of senior elementary school students is not ideal,and the following problems exist: The use of mathematical representations has flaws,there is a misunderstanding in the relationship between mathematical representation,and the construction and application of mathematical representation are weak.Through teacher and student interviews and the analysis of mathematical representation questionnaires,the main reasons are: incomplete understanding of mathematical representation;lack of systematic training in mathematical representation habits;poor mathematical representation process strategies;and inappropriate metacognitive control of mathematical representation.Finally,according to the survey results,five training strategies are proposed to improve the mathematical representation ability of primary school students:representation communication and display strategies;multiple representation and conversion strategies;information mining and discrimination strategies;representation evaluation and reflection strategies;teaching mode transformation strategy.