A Case Study On The Teaching Of The Number Axis Under The Guidance Of The Geometric Intuition

On the basis of further understanding the learning situation of“Rational number and number line” of junior middle school students,this study explores the scientific teaching methods to promote the improvement of junior middle school students’ “Geometric intuition”level,at the same time,it also provides some more targeted methods for teachers’ teaching.In the phase of theoretical research,this study points out that observing the real world with mathematical vision is the first step to establish the relationship between mathematics and the real world.Children’s cognition originates from children’s motion perception,and develops slowly in various images,images and symbolic thinking.In the teaching principle mentioned in the pedagogy research,it is proposed that the teaching should follow the principle of intuition and the principle of gradual progress,in the research of educational psychology,it is also put forward that the students should pay attention to the law and try their best to make the teaching in the area of the students’ recent development.How to deal with the relationship between teaching and geometry intuition and how to deal with the logic generating process of knowledge under the guidance of geometry intuition is shown by the evaluation index of the core quality of mathematics of Professor Yu Ping,the evaluation research of the division of the level of Geometry Intuition of Professor Zhang Heping and the idea of“Three Teachings” of Professor Lu Chuanhan.The unit whole teaching design,the stage teaching design and the class hour teaching design of the number axis are combined to deal with the relations between the whole and the part,knowledge and ability,accomplishment correctly,only then can more effectively carry out the training student mathematics core accomplishment and the character,the value view teaching goal.In the practical research stage of teaching cases,this research adopts the qualitative and quantitative research methods such as classroom observation,teacher-student interviews and questionnaire survey,based on the full understanding of the status quo of teaching and learning,in order to develop students’ mathematics core literacy as the teaching goal,the following conclusions are obtained in the teaching implementation and effect analysis under the guidance of geometry intuition:(1)teachers neglect the students’ main status in the teaching process;(2)the proportion and structure of each link in the classroom are out of balance;(3)the main reason of Students’ learning disability on the logarithm axis is the single learning mode,which is not intuitive enough;(4)the use of living examples,multimedia and situation introduction can promote students’ learning;(5)the study of number axis is a preliminary combination of numbers and shapes,and it also has a developing process from the shallow to the deep.