Research On The Status Of Pupils' Plausible Reasoning Ability In Mathematics Education

It is pointed in Mathematics Curriculums Standards of Compulsory Primary Education(2011 Edition)that we should lay emphasis on students' reasoning ability through primary school Mathematics teaching and learning.Running through Mathematics teaching and learning,reasoning skills is both basic and daily ways of thinking.However,there aren't so many researches on such area.Besides,we have some questions on such sides.That is why we try to research Mathematics Plausible Reasoning in Primary school,beyond that,find problems and strategies about it.Research Question: 1.The status Quo of Pupils' Mathematics Plausible Reasoning;2.How to teach effectively based on such Status Quo;3.The ways to cultivate pupils' Mathematics Plausible Reasoning ability.Research Methods: We used literature research method,questionnaire survey method,teachers interview method and so on.By what we get both quantitative and qualitative analysis.Research Conclusion: This study tests the students' inductive and analogical reasoning through 10 questions in the questionnaire.It is found that the students have the following problems: 1.Students' observation of multiple variables is not comprehensive enough;2.Students cannot accurately extract their knowledge and experience;3.Students lack the ability to generalize and summarize mathematical information;4.Students' analogies to mathematical information mostly point to formal ones;5.Students cannot deeply understand the relationship between information and problems.Among teachers' questionnaire survey,it is found that teachers also have the following problems: 1.Teachers didn't not fully understand the ability of reasoning;2.Teachers payed insufficient attention to the cultivation of mathematical reasoning ability;3.Teachers' methods of cultivating mathematical reasoning ability are not Clear;4.Teachers failed to actively refine the material resources of mathematical reasoning ability.In view of this issue,relevant teaching suggestions are proposed.This study proposes teaching suggestions for the course.Faced with these problems,teachers combined with the teaching practice,so as to get the following teaching strategies for students' ability of Plausible Reasoning: 1.Creating observational situations and cultivating observational ability;2.Combining their experience to guide students' conjecture;3.Training externalized thinking and improving analytical ability;3.Teaching reasoning methods and cultivating reasoning ability.