The Teaching Research Of Derivative Concept Based On APOS Theory In The Environment Of Geometric Sketchpad

Derivative is one of the most important concepts in calculus and it is also important to learn in high school.It is an important tool to study the function and solve many practical problems.In high school,the learning of derivative is not through learning limits but through practical questions.This makes it difficult for students to understand the concept.With the development of information technology,using modern information technology to solve some of the more abstract mathematical questions is getting deeper and deeper.Sketchpad,as a new form of dynamic teaching medium,created a common mathematical teaching and learning environment for teachers and students.Students have an intuitive sense of the mathematical concept and mathematical models.By studying literature at home and abroad,I’ve found that most experts and academics are primarily focused on the study of mathematical concepts guided by APOS theory.Through students’ cognitive discipline and the guidance of APOS theory,students had a fundamental understanding of the mathematical concepts.But there is little research on the combination of a batch of APOS theory and modern information technology.This article is divided into four chapters.Chapter one:Question.The study’s background is the new study’s demands for information technology and the broad adoption of APOS theory.Chapter two: Literature review.First,introduced the theoretical basis for this article and detailed the four phases of the theory;Second,it analyzes the importance of derivative in high school mathematics.Through previous research,the findings and solutions were found in the teaching of derivative teaching.Finally,it is a summary of the features and the practical achievements of the software in mathematical teaching.Chapter three: Survey analysis.To design questionnaire and interview topic for senior teachers in the second grade and third grade.It can help us analyze the problems of derivative teaching in the present period.Chapter four:Design of teaching.Analyze the key issues in the teaching of derivative in sketchpad so that students can be more easily understood by the concept.Teachers were able to help students learn the concept of guiding by the guidance of APOS theory in the sketchpad.Not only represents the idea of a new set of basic education curriculum reforms in our country but also it is important to improve the effectiveness of classroom efficiency in changing students’ learning skills,and making it important for students to understand the concept of mathematics in nature.It is also conducive to the development of students’ main character,fostering students’ creativity.