Research On Derivative Learning Of High School Students Based On Schema Theory

From Kant's discussion of the philosophical significance of schema to the comprehensive interpretation of Rumelhart,an expert on intelegence in United States,the schema theory has been improving and developing.Until today it has been widely used in different fields.The derivative is one of the core concepts of calculus,the contradiction with its learning value and actual difficulty caused widespread attention.Based on the current needs of the practical teaching,the existing schema theory and derivative research,this thesis construct the theory of schema about derivative and pay attention to study how the derivative schema of high school students is through a variety of methods like literature analysis,interviews,survey questionnaires and statistical analysis.This thesis consists of six chapters.Specific arrangements are as follows:The first chapter questions raised.This chapter thinks of the development of schema in learning comprehension,the schema which can reduce the cognitive load of students,the schema theory which can alleviate this contradiction of value and actual learning difficulties in derivative as the background of the thesis.Then raise issues that how the derivative schema of senior high school students is and analyze research significance and methods of this paper.Chapter II is a review of the study.This part mainly studies on existing research about schema and derivatives.Although schema and derivative are the two hot areas of current research,systematic researchs on the derivative learning with schema theory are very few.Chapter III is to build the theory of derivative learning in senior high school based on schema theory.This part discusses the guidance of schema theory to derivative learning,the relationship between schema and knowledge structure,and theoretical construction of derivative schema in definition,characteristics,classifications and schema acquisition.Chapter IV is to form the questionnaire about derivative schema of senior high school students according to the relevant research on mathematical schema andderivative learning.In order to grasp the derivative schema of senior high school students,design questions in sequence,breadth,clarity,relevance and individual evaluation.Through the combination of free recall and questions answering to ensure the survey results are objective.Chapter V is an empirical research about derivative schema of high school students with the help of the front-line teachers,through the questionnaire and interviews,resulting in the following conclusions.1,Students' sequence and teaching content layout differences,indicating the existence of derivative schema.2,In terms of the feature of derivative schema,the breadth is focus on 8-12,the clarity and relevance degree is not high,the individual attitude is positive.3,In terms of the differences from the discipline,learning level,gender,there are no gender differences in the breadth and the individual evaluation of derivative schema,and there are no learning level differences in individual evaluation.4,In terms of the three kinds of schema,procedural schema is the best,strategy schema is the worst.5,In terms of each type of schema,discipline is the only factor affecting the distribution of declarative schema(discipline,gender,learning level),discipline and learning level are the factors affecting the distribution of procedural schema and strategy schema.Gender is not the factor affecting the distribution of the three types.Chapter VI is about teaching suggestions.Enlightenments are as follows based on the analysis of survey data and further interviews.1,Point out the growth of schema exactly.2,Students are the main body with teacher' help.3,Lay enough time to students to think independently.4,Cooperative learning.5,Creative new situation to let students misuse schema.6,Make full use of information technology.Then propose educational countermeasures in the new teaching,practice teaching and recitation teaching.Finally,the paper summarizes the research and points out the areas to be improved.