The Infiltration Of Model Thinking In Mathematics Teaching In Junior Middle School

In 2011,the Ministry of Education officially promulgated the "Compulsory Education Mathematics Curriculum Standards(2011 Edition)" to expand the original"double basics" to "four basics".In addition to "basic knowledge" and "basic skills",the requirements of "basic ideas" and "basic activity experience" have been added.Besides,the Curriculum Standards(2011 Edition)also takes model thinking as one of the ten core concepts newly introduced.The purpose of this paper is to infiltrate model thinking in mathematics teaching in junior middle school.The "model thinking" mentioned here is not only a mathematical modeling idea in the common problems of equations,functions,inequalities,or in the geometric models.It should also be reflected in every mathematics learning activity,and even more frequently in each maths class.This thesis studies five kinds of courses,such as mathematics concept lesson,mathematics principle lesson,problem solving teaching lesson,review lesson,and comprehensive practice lesson,and seeks appropriate teaching activities and teaching methods to better penetrate the model thinking.This article provides four teaching cases,namely the analog application of the first algorithm for learning rational numbers,the first formal learning of the rule and compass drawing class,the first study of strict reasoning proof class,the comprehensive practice lesson of a new content in the 2011 version of the course standard.The main reason for choosing these cases is that junior middle school students are the first time to meet these types of courses,and they have less experience in activities.These courses are also difficult for teachers to teach.Instead of directly giving the results to students,they should be designed through various teaching activities,so that students can psychologically and cognitively adapt to the new course type,gain actively explore learning,well master knowledge and skills,accumulate activity experience,gain more model thinking infiltrating,and achieve more ideal results.The innovation of this paper is to study how to infiltrate "model thinking" into each mathematics inquiry activity or each type of course.Due to the breadth and depth of mathematics knowledge in junior middle school,the old mathematics teaching method is to cultivate students' model ideas through the application of questions or geometric models,but this is not far from enough.The cultivation of deep-level model ideas should be continuous and subtle.This paper needs further research on how to make a scientific and reasonable evaluation of the teaching effect of infiltration of model thinking in junior middle school's mathematics teaching.It is difficult to quantify the comparative data before and after the study,because it is difficult to test a test paper to measure the amount of teacher and student's thoughts on the infiltration model in teaching and learning.Despite this,the author has always insisted on participating in various seminars,listening to other teachers' classes,and conducting exchanges and discussions before and after class to promote more in-depth research on this thesis.