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Study On The Level And Cultivation Of Mathematical Reasonable Reasoning Ability Of Pupils

Posted on:2020-07-13Degree:MasterType:Thesis
Country:ChinaCandidate:S Y ChenFull Text:PDF
GTID:2427330620456822Subject:Curriculum and pedagogy
Abstract/Summary:PDF Full Text Request
Reasonable reasoning is a key component of mathematical reasoning.With the deepening of curriculum reform in recent years,the new compulsory education mathematics curriculum standards have also strengthened the emphasis on the cultivation of sensible reasoning ability.The development of primary school mathematics reasoning ability is not only the requirement to develop students' core literacy,but also the measure to optimize students' level of thinking and help to improve students' ability to solve problems.Based on the current research of mathematical reasoning in China,this paper studies the level of primary school mathematics reasoning ability and its cultivation status in theory and practice by using literature analysis method,test test method,interview method and observation method.Firstly,through literature research,the meaning of mathematical reasoning ability,the components of mathematical reasoning ability and the main forms of mathematical reasoning are defined,and the research framework is determined.Secondly,through the investigation and study of the mathematics and reasoning ability level test papers of the fifth and sixth grade students,the current level of competence is as follows: the overall level of the reasoning ability of the fifth and sixth grade students is general,and the reasoning ability is generally presented.There is no significant difference in the level of reasonable reasoning between boys and girls in the trend of increasing grade by grade.Among them,the students' inductive reasoning ability is slightly stronger than the analogy reasoning ability.The ability of students to make conjectures and conduct conjecture verification needs to be improved;students' ability to observe mathematics and express their ability in mathematics needs to be improved;students' comparative analysis and discovery of commonality are weak.Thirdly,based on the analysis of the interviews of primary school mathematics teachers,the current situation of the cultivation of mathematics' reasonable reasoning ability of primary school students has the following problems: First,teachers have a vague understanding of the relevant theory of reasonable reasoning;Second,teachers recognize the value of reasonable reasoning but pay insufficient attention;Third,teachers are confused about how to conduct reasonable reasoning teaching.Finally,comprehensively analyze the problems existing in the research,and put forward relevant suggestions for the cultivation of primary school mathematics reasoning ability: First,implement multi-effect observation strategy to cultivate students' mathematical observation ability;Second,situation to stimulate conjecture strategy,create situation to encourage students to guess Third,the wrong guess guides the strategy,guides the students to correctly guess;Fourth,multi-angle to develop the guessing strategy,enrich the students' guessing skills;Fifth,strengthen the self-testing strategy,cultivate students' test consciousness,improve the test ability;Sixth.,comprehensively enhance the expressive power Strategies to improve students' ability to express their language skills.The path of cultivating the reasoning ability of mathematics in primary school is still very long.There are still many areas to be perfected in this study.I hope this research can attract more teachers' attention and discussion.
Keywords/Search Tags:Mathematical reasoning reasoning, Inductive reasoning, Analogic reasoning
PDF Full Text Request
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