The Value Of Uncertainty Mathematical Thinking And Its Practical Recommendations

Mathematics thought is a philosophical understanding of the nature of mathematical knowledge and mathematical nature of the activists. It is the soul of mathematical. Studying mathematical thought will help us to understand the essence of mathematical knowledge, grasp the mathematical rule deeply. Influenced by the concept of the Postmodern Curriculum, People are gradually aware of the uncertainty of mathematical knowledge. Based on the uncertainty of knowledge, uncertainty mathematical thought gradually formed. However, What is the meaning and value of uncertainty mathematical thought, what are the difficulties by teachers implementing this idea, how to apply uncertainty mathematical thinking to teaching, and so on, few people deeply research on it. Therefore, this paper attempts to "uncertainty mathematics" as the main line, to explore the meaning, value and difficulties of the uncertainty mathematics, and give the corresponding practical suggestions.This thesis consists of five parts,which are lists as follows.Introduction Part:This paper mainly introduces the reason of choosing this topic,the purpose and significance of the study. Comb and summarizes the domestic and foreign research status about uncertainty mathematical thought, finally illustrates the main issues of this thesis.Part 1:Expounds the connotation of uncertainty of mathematical thought, specific characterization and academic value. Firstly, by querying data, induce the uncertainty of the mathematical thought, and study the history of the development of uncertainty of mathematical Thinking. Thinking. Secondly from three aspects discuss the uncertainty of characterization of mathematical thinking:incompleteness of mathematical knowledge, the diversity of mathematical expression forms and the temporary nature of mathematical conclusion. Finally, transparent the subject value of uncertainty mathematical thought.Part 2:It mainly focuses on the value of the uncertainty mathematical thought. Firstly, the uncertainty of mathematical thought awakened the consciousness of teachers’ mathematical curriculum. Secondly, it provides space for teaching. Thirdly, it promotes the development of students’ creativity.Part 3:According to the results of interviews and questionaries, combined with relevant theory, analyzes the dilemma of uncertainty mathematics thought in teaching practice. Firstly, most of teachers and students hold the view of deterministic mathematical knowledge. Secondly, textbook arrangement over the pursuit of deterministic mathematical knowledge. Thirdly, the pattern of teaching and learning is modeled. Finally, teachers’ classroom assessment skills is lacking.Part 4:It gives practical advice on how to make teaching based on the theory of uncertainty mathematical thought. Firstly, penetrating uncertainty mathematics knowledge gradually. Secondly, give full play to teachers’ teaching tact. Thirdly, improve the students’ mathematical imagination. Finally, establish a personalized evaluation system.