Research On The Evaluation And Understanding Of Derivative Concept

Regardless of being a student or about to enter the education stage,we will understand such a sentence and its familiarity,and understand what we have learned."Mathematics comprehension",as another central topic in the international mathematics education community after "problem solving",has attracted countless educational researchers and educators.How to evaluate students'understanding of the status quo and the choice of understanding evaluation models have become the focus of educational research.Derivatives,as an important part of mathematical knowledge,are also a major component of high school mathematics.It is more and more meaningful to evaluate the status of students' understanding.In this study,132 students from four classes in Mudanjiang No.1 Senior Middle School were taken as the research object.Taking a combination of quantitative research and qualitative research,starting from the four dimensions of comprehension,representation,application,and perception,evaluate the students'derivative understanding,understand the students' understanding of the derivatives,and summarize the differences in students 'derstanding of the derivatives.Combined with academic analysis,it explores the factors that affect the students 'understanding of the concept of derivatives,and combines the results of interviews with a view to obtaining students' obstacles and difficulties in understanding derivatives.The conclusions of this article are as follows:The overall performance of the students was unsatisfactory.In the four dimensions,the performance of derivative representation is the most prominent.Students can well represent the concept of derivative through geometry and symbols.Secondly,it is the application of concepts.Using derivative concepts to solve practical problems is obviously better than solving mathematical problems.Again,it is concept perception In addition to the examples,the students did not perform well in the two aspects of discrimination and interpretation and definition of statements;in the end,the connection was only a simple connection between the derivative concept and the function,and most of them were unidirectional connections.The difference in students' understanding is as follows:in terms of connection,in the choice and method of the content of the connection;secondly,there are also large differences in the perception of the concept,and the nature and understanding of the derivative can be described as thousands of people;at the same time,the students are applied There are some differences in the mathematical application of the;in the end the students have very little difference in representation,the main difference is in symbolic representation.The three factors of learning duration and learning style have obvious effects on differences.The obstacles and difficulties for students to understand the concept of derivatives are mainly concentrated in the following four points:first,they are insensitive to formal concepts;second,they think that derivatives are a tool,and they cannot clearly understand the nature of derivatives;again,there is the existence of learning about derivative concepts A certain degree of fear;in the end,the connection and migration are chaotic,and the ears of mathematical thought and mathematical methods are not enough.