Research On The Integration Of Mathematical Culture Into The Understanding Of Mathematical Concepts Of Junior High School Students

In recent years,with the advancement of mathematics curriculum reform,the primary and secondary school mathematics curriculum in our country pays more and more attention to the understanding of mathematics concept and the infiltration of mathematics culture.The mathematics concept course integrated with mathematics culture can increase students' interest,positive belief and self-confidence in mathematics,change students' attitude towards mathematics,keep a good mood for mathematics,actively participate in mathematics concept exploration activities,better understand mathematics concept,have a deeper understanding,and solve life with the learned mathematics knowledge and thought method in order to improve their practical ability and innovative ability.The purpose of this study is to understand the current situation of junior high school students' understanding of mathematical concepts and the attitude and current situation of integrating mathematical culture into mathematical concept class,and to put forward the teaching strategies of integrating mathematical culture into mathematical concept teaching.According to the investigation of junior three students in three classes of a junior high school in Hangzhou,it is found that the students(1)do not have ideal overall understanding of some mathematical core concepts;(2)have difficulty in understanding some mathematical core concepts;(3)do not have comprehensive understanding of the connotation of the mathematical core concepts;(4)do not have enough understanding of the symbols of the mathematical core concepts;(5)do not have enough understanding of the extension of the mathematical core concepts.Through random sampling of junior three students and seven junior middle school mathematics teachers from four junior middle schools in Zhejiang Province,we found that:(1)The students' mathematics culture literacy is not high,and the teachers' mathematics culture literacy needs to be improved;(2)there are not many teachers who integrate mathematics culture into mathematics concept class,and the way of integration is relatively simple and low;(3)students want to integrate mathematics culture into mathematics concept class;(4)most students recognize the value of integrating mathematics concept class into mathematics culture.(5)teachers think that the mathematics concept class which integrates mathematics culture can promote students' learning.Based on the survey results and under the guidance of APOS theory,four teaching strategies of integrating mathematical culture into mathematical concept teaching are put forward:(1)integrating mathematical culture in the "operation stage",arousing interest and establishing image;(2)integrating mathematical culture in the "process stage",deepening exploration and accelerating abstraction;(3)integrating mathematical culture in the "object stage",deepening impression and comprehension quality;(4)in the "schema stage" into the mathematical culture,a thorough understanding,expand thinking.According to the above teaching strategies,the case and analysis of "acute trigonometric function" and "figure rotation" are designed,which can be used for reference by teachers.