Research On Tibetan Students' Mathematical Reasoning Ability

In this paper,the Tibetan students' mathematical reasoning ability is selected as the research object,and the students of class 2015 of Tibet College of science and technology of Minzu University of China are selected as the research object.This paper studies the mathematical reasoning ability of Tibetan university students through investigation method,observation method and interview method.This paper discusses the structure and content of the following seven chapters:Chapter one is the preface.Based on the analysis of the undergraduate education of Tibetan students,the paper puts forward the research topic of the mathematical reasoning ability of Tibetan university students.Chapter two is the literature review.On the one hand,we can sort out the relevant research of Tibetan university students' mathematics learning and mathematical reasoning ability.On the other hand,we can clarify the related concepts of mathematical reasoning and mathematical reasoning ability.Chapter three is the study design.Determine the research object,the research content,the research idea,the research methods and give the research framework.The fourth chapter is the preliminary investigation of Tibetan College Students' mathematical reasoning ability.The questionnaire was designed to investigate the mathematical reasoning ability of Tibetan students.This paper describes statistical analysis of the basic knowledge of mathematical reasoning,the practice of reasoning and the difficulties encountered in mathematical reasoning.The students' case interviews were conducted with the results of the survey.The basic knowledge of mathematics and national language influence the mathematical reasoning ability of Tibetan university students.The fifth chapter is the analysis of Tibetan college students' advanced algebra.Combined with the questionnaire to the preliminary conclusion,collection of students advanced algebra operation,and analyzes the writing process of students in the form of syllogism.It is concluded that the mathematical reasoning characteristic of Tibetan college students is the improper use of the main premises in deductive reasoning and the lack of verification of the small premise.The sixth chapter is the analysis of the mathematical reasoning of the Tibetan college students in the algebra class.Based on the analysis,advanced algebra operations continue to observe the advanced algebra class,analysis of the reasoning process of plate in the dialogue between teachers and students and students.It is concluded that the Tibetan college students' reasoning ability is outstanding,deductive reasoning ability needs to improve.The seventh chapter is the conclusion of this paper.Comprehensive survey results:students work analysis,classroom observation and analysis,current situation and reasoning summarize the characteristics of Tibetan college students mathematical reasoning ability;on this basis,puts forward some suggestions for the Tibet mathematics class teaching.To sum up,this thesis by means of questionnaire,students homework,interview,classroom observation data of four kinds of investigation data analysis,it is concluded that the present situation of Tibetan college students' mathematical reasoning and the characteristics of mathematical reasoning.Influence of Tibetan students' mathematical reasoning ability is foundation of national language,mathematics;Tibetan students' reasoning ability outstanding,deductive reasoning needs to be further improved;the improper use of the premise of deductive reasoning,lack of validation of the minor premise.Based on the results of the study,this paper puts forward some referable Suggestions for the teaching of mathematics in Tibetan classes:pay attention to the combination of concrete and abstract teaching;the writing on the blackboard teaching,encourage students in;encourage students to write the thinking process in operation,improve the deductive reasoning ability;encourage students to carry out classroom discussion,further improve the reasoning ability.