Practice And Effect Of Deep Learning Of Factorization In Junior High School Students

In the whole junior high school mathematics learning,algebraic knowledge occupies the majority of the part of Learning.Learning algebra can help us understand,describe and master the real world,and solve math and practical problems more accurately and clearly from a quantitative point of view.It is the basic mathematical literacy everyone should possess in the basic mathematical.In the content of "Number and Algebra",the operation of number and algebra is an important part,and it is also the basic mathematical skills of learners,and factorization is the prominent content of it.To some extent,the level of factorization reflects the level of algebraic and mathematical operations.Under the guidance of teachers,students are surrounded by a challenging learning atmosphere.They take an active part in it wholeheartedly and achieve success and meaningful learning process.Therefore,it is a meaningful research topic to carry out deep learning in factorization.According to the test and interview records of junior high school students,we know that the level of factorization learning of junior high school students is insufficient.Two hundred and twenty-four students of The Fifty Middle School in Hefei are selected as samples by empirical research.The students were divided into two groups: the control group and the experimental group.The experimental group was given factorization in-depth learning,while the control group was given routine learning.Finally,the data are analyzed according to the students’ test scores.The experimental results are as follows:(1)Students have limited knowledge of the two factorization methods in textbooks.(2)Through factor decomposition indepth learning,a moderate increase in teaching time,the amount of training,especially variant training and comprehensive training,can improve students’ interest in computing.(3)Through the in-depth study of factorization,students’ habits of mathematics learning have changed well,and their mathematical operation ability has improved significantly.(4)In the follow-up content study,we intentionally guide students to solve problems by factorization method,and continue to strengthen the learning of factorization skills,which has a very good role in promoting the fast,simple and effective solution of mathematical operations.(5)A moderate increase in the teaching time of factorization has no effect on the subsequent learning.In the course of the experiment,the effective measures and ways of deep learning of factorization are summarized:(1)arousing interest in mathematical operation;(2)expanding the depth and breadth of factorization learning appropriately;(3)improving the ability of factorization throughout the whole process of learning;(4)leading the overall improvement of mathematical operation ability;(5)developing mathematical thinking ability from point to point.SPSS19.0 and Excel 2003 were used to analyze the validity of the questionnaire and the test data before and after the students.Therefore,the conclusion of this study has certain reliability and reference value,and has reference value for improving the quality of junior high school mathematics teaching and creative use of textbooks.