An Empirical Study On The Mathematical Inductive Reasoning In Junior Middle School

The cultivation of the integrated man in Modern school education is implemented through the teaching of various disciplines,and each subject has its own core tasks.The responsibility of mathematics education is to train and bring up talents with the ability to explore.The exploring ability includes not only the ability to analyze and solve problems,but also the ability to find problems,while the ability of recognition of problemis the most critical factors of the exploring ability.Inductive logic thinking such as induction and analogy is the basic means to discovery problem,and this core competenceof mathematics is no longer merely instilling and inheritance,but more focused on inspiration and understanding of mathematics thinking method.In the past a very long time,the mathematics education in the the basic education stageemphasized the deductive reasoning,and trained the students to verify and grasp the existing mathematical conclusion,while ignoring the inductive reasoning.The deficiency of mathematics education will inevitably weaken the educational value of mathematical disciplines,and influence the development of students' creativity.Taking the inductive reasoning in mathematics of junior high school as emphasis,this paper studied some questions as follows: First,by text analysis,the paper reviewed the relationship between the deductive and inductive reasoning,and teased the domestic and foreign research about the deductive and inductive reasoning,and explored the relationship between inductive reasoning and deductive reasoning in junior high schoolon the basis of the analysis of the research conclusion about the deductive and inductive reasoning in the stage of primary school and senior high school.Secondly,by text analysis,the paper made the quantitative comparison research of the contents about the deductive and inductive reasoning between the junior middle school teaching outline and mathematics course standard,as well as PEP textbooks and Bnu edition textbooks.Thirdly,the paper made the investigation about the ability and identity of deductive and inductive reasoning of teachersand students,and the current teaching situation of the deductive and inductive reasoning.Fourthly,the paper made factor analysis of the investigation outcomes.The conclusion is: First,the relationship between inductive reasoning and deductive reasoning of in junior high school mathematics is stagger;Secondly,by making quantitative comparativeresearchon contents presentation about the inductive reasoning in two versions of the textbook,and combining teaching practice,the paper found the contents presentation about inductive reasoning did not meet the requirement of the “Mathematics Curriculum Standards of Compulsory Education(2011 Edition)”(hereafter referred to as “Curriculum Standards of 2011 Edition”);Thirdly,selecting 1,446 students and 212 mathematics teachers at the junior high school in Beijing and Heilongjiang assample,the paperused test method and questionnairesurvey,and found the teachers and students' understanding of inductive reasoning and requires of curriculum standards was not clear,and some teacher and the students' ability of inductive reasoning were weak,and need to be improved;Fourthly,by interview,the paper found 87% of junior high school mathematics teacher identified important value of inductive reasoning,but did't know how to operate in the teaching,consequently,the teaching goal was not clear and the effect was not good in the teaching and learning process;The paper suggested that textbook writing departmentmodify the materials should strictly obey the requirement of inductive reasoning in “Curriculum Standards of 2011 Edition”,and provide more vivid case reference for teachers to learn,and also suggested that the education administrative department and school truly pay attention to the cultivation of inductive the reasoningability of students in junior high school.The paper made factor analysis of research results,and provided some cases from several aspects,in order to cause more research.