The Study On The Geometric Intuitive Ability Of Junior Middle School Students In The Number And Algebra Fields Of Algebra

Compulsory Education Mathematics Curriculum Standard referred to as standard,geometric intuitive inclusion of ten core concepts,paying attention to the cultivation of students' geometric intuition ability.Geometric visualization refers to the use of graphics to describe the problem of analysis,makes complex mathematical problems visualization,explore the idea of solving the problem,explore the idea of solving the problem and forecast result.(1)The author of the geometric and intuitive related literature to sort out and analysis,on the basis of the existing research,constructing the application model of geometric intuition ability of junior middle school students based on the actual situation of junior middle school students' mathematics learning,Which provides a theoretical framework for research.(2)I chose Jinzhou two secondary school students as the second test object to conduct pre-survey and formal investigation,pre-survey with 200 students.On the basis of pre-investigation,the test questions were modified,investigated and perfected,and the reliability and validity test and eventually forming a formal test volume,249 students were formally tested and analyzed for students' questions.(3)According to the students answer the situation summarized,for the reasons for the reasons for reflection and make recommendations.The following conclusions:(1)Students are good at simple symbols intuitive and intuitive graphics,substitutes intuitive ability was weak;(2)Students' explicit geometric intuition is better,the latent geometric intuition ability needs to be improved and the development ability is weak;(3)With the rise of the horizontal dimension,students in the geometric and intuitive three forms of expression are showing a downward trend,but the substitutes intuitive volatility,substitutes intuitive second,the smallest intuitive waveform fluctuations;Reflections students' geometric intuition:(1)Most students have algebraic thinking;(2)Student algebraic geometry conversion is not flexible;(3)Students are unaware of the importance of algebraic knowledge geometry;(4)Students have little knowledge of the geometric meaning of algebraic domain content.Finally,The author of the students to improve the geometric intuitive ability to makere advise:(1)Appropriate to add some teaching experiments;(2)Cultivate students from two angles to think about mathematics;(3)Strengthen understanding of basic geometric changes;(4)Experience the concept of geometric intuition for students to solve the problem;(5)Advocating the concept of students' algebraic conceptual property theorem.