A Case Study Of "Synthesis And Practice" Of Junior High School Mathematics From The Perspective Of Basic Mathematics Activity Experience

In the new mathematics curriculum standard of 2011,"synthesis and practice" is set as one of the four parts of mathematics curriculum.The purpose is to accumulate students' experience in mathematics activities and cultivate students' ability to solve practical problems.How to carry out the accumulation of experience in the basic activities of mathematics in the course of "synthesis and practice" is the problem of this paper.The third chapter is theoretical research.This paper mainly uses the method of literature research to re recognize "synthesis and practice" and "experience of basic mathematical activities".According to the different forms of activities and the characteristics of course types,the author divides the "synthesis and practice" course into three types: mathematical inquiry,mathematical investigation and mathematical production.This paper also studies the contents of six volumes of junior high school mathematics textbooks published by Beijing Normal University,and sorts out the contents and lesson types that match the above classification.In particular,the author puts forward three kinds of "experience",five "dimensions" and three "levels" corresponding to the three types of courses in the "synthesis and practice" course.The experience of thinking corresponds to five dimensions: conjecture,proof,induction,transfer and expression.Each dimension is divided into three levels: intuition,imitation and application.Similarly,operational experience: observation,design,survey,statistics,modeling.Experience: appreciate the beauty of mathematics,feel the charm of mathematics,enjoy the emotional transmission.The fourth chapter is the core of this paper.This paper selects one of the three types of "synthesis and practice" for case analysis,trying to find a way to accumulate experience in mathematics activities in "synthesis and practice".Case one: from the perspective of thinking experience,using classroom observation method to analyze the mathematical inquiry class "the mosaic of figures" and get the way of thinking experience generation;case two: from the perspective of operation experience,analyze the mathematical investigation class "measuring the height of flagpole" and get the way of operation experience generation Case three: from the perspective of experience,the text analysis method is applied to analyze the activity works of the students of mathematics production-"painting mathematics",and the way to generate experience is obtained.And summed up the teachers in the "synthesis and practice" to promote the accumulation of students' experience to take the teaching approach.In particular,the further study of three cases shows that:(1)the basic mathematical activity experience obtained in "synthesis and practice" is a complex of experience;(2)diversified teaching methods promote the formation of basic mathematical activity experience;(3)various types of activities enrich the elements of basic mathematical activity experience;(4)diversified evaluation methods help basic mathematical activities The consolidation of experience.