An Investigation On Grade 9 Students' Level Of Plausible Reasoning

In mathematics,sensible reasoning is a way to train students to be good at discovering and thinking problems.Reasonable reasoning is closely related to the cultivation of students' creativity.In the past,mathematics education paid too much attention to the development of students' deductive reasoning ability to solve problems,especially in the parts of graphics and geometry.It neglected the cultivation of exploratory reasoning ability such as induction and analogy,which reduced the educational value of mathematics education itself and also affected the development of students' innovative ability.Based on the above research background,this paper firstly sorts out and summarizes the relevant research of reasonableness,and determines the connotative form and horizontal framework of reasonableness.Then designs the test question,the test question involves the junior high school mathematics graph and the geometry domain main content.Finally,403ninth-grade students in Jinzhou city and Beizhen city were selected as the research objects.The test students and the mathematics teachers in the middle school of the school were randomly selected for interview.To investigate the current situation of the development of reasonable reasoning ability in graphics and geometry among grade 9 students.The results show that the reasonable reasoning ability of the ninth grade students in the field of graphics and geometry has reached the level of overall level two,some good level three;Analogical reasoning is better than incomplete inductive reasoning.The main problems that students have in reasonableness are as follows: the knowledge of geometry is not comprehensive;Thinking solidified,will not consider the problem from many aspects;Without regard for rational reasoning;Guides are not set up.According to the results of the survey,the training strategies and teaching Suggestions are put forward: teaching in the field of graphics and geometry,deductive reasoning and reasonable reasoning should be paid equal attention to;Dig deep in the teaching materials and questions in the fair reasoning material,give students more reasonable reasoning experience;Balance training of inductive reasoning ability and analogical reasoning ability in teaching;Encourage students to think and explore from different angles.