不确定性数学思想的教育价值及其实践建议

发布时间：2018-05-14 11:09

本文选题：不确定性数学思想 + 价值　；参考：《华中师范大学》2016年硕士论文

【摘要】：数学思想是对数学知识和数学活动性质的一种哲学认识,是数学的灵魂。研究数学思想,有利于我们对数学知识本质的深入理解,对数学规律的深度掌握。受后现代主义课程观的影响,人们逐步意识到数学知识具有不确定性。以数学知识的不确定性为基础,不确定性数学思想逐渐形成。然而,不确定性数学思想的涵义是什么,有哪些表征,有何教育价值,教师在教学中运用这种思想有哪些困境,如何将不确定性数学思想运用于教学等问题,却很少有人深入地研究。因此,本文试图以“不确定性数学思想”为主线,探讨不确定性数学思想的涵义、教育价值、困境,并给出相应的实践建议。本论文主要包括五个部分：绪论部分：主要介绍研究本论题的选题缘由、研究的目的和意义,并梳理总结了国内外关于不确定性数学思想的研究现状,最后阐明了本论文研究的主要问题。第一部分：阐明不确定性数学思想的内涵、具体表征和学科价值。首先,通过查询资料归纳出不确定性数学思想的涵义,并研究了不确定性数学思想的发展历史；其次,从三个方面论述了不确定性数学思想的表征：数学内容的不完备性,数学表现形式的多样性和数学结论的临时性；最后,澄明不确定性数学思想的学科价值。第二部分：主要论述不确定性数学思想的教育价值。第一,不确定性数学思想唤醒了教师的数学课程意识；第二,营造了教师教学创造的空间；第三,促进了学生创造力的发展。第三部分：根据访谈、问卷调查等结果,结合相关理论,分析了不确定性数学思想在教学实践中的困境。首先,师生大多数持数学知识确定性观；其次,教材编排过度追求数学知识的确定性；第三,教与学方式的模式化；最后,教师课堂评价技能较为欠缺。第四部分：对基于不确定性数学思想的教学给出了建议。第一,逐步渗透数学知识不确定性的理念；第二,充分发挥教师的教学机智；第三,提高学生的数学想象力；第四,建立个性化的评价制度。
[Abstract]:Mathematical thought is a philosophical understanding of mathematical knowledge and mathematical activity, and the soul of mathematics. The study of mathematical thought is conducive to our deep understanding of the essence of mathematical knowledge and the deep mastery of mathematical laws. Influenced by the postmodernism curriculum view, people gradually realize that mathematical knowledge is uncertain. Based on the uncertainty of mathematical knowledge, the idea of uncertainty mathematics is gradually formed. However, what is the meaning, what is the representation, what is the educational value of the uncertain mathematics thought, what are the predicaments of the teachers' application of the idea in teaching, and how to apply the uncertainty mathematics thought to the teaching, and so on? But few people go into it in depth. Therefore, this paper attempts to discuss the meaning, educational value and predicament of the uncertain mathematics thought with the main line of "the uncertain mathematics thought", and gives the corresponding practice suggestion. This paper mainly includes five parts: introduction: mainly introduces the reason of the topic, the purpose and significance of the research, and summarizes the current situation of the research on uncertainty mathematics at home and abroad. Finally, the main problems of this paper are expounded. The first part: expound the connotation, concrete representation and subject value of uncertainty mathematics thought. Firstly, the meaning of uncertain mathematics thought is summed up by querying data, and the developing history of uncertainty mathematics thought is studied. Secondly, the representation of uncertainty mathematics thought is discussed from three aspects: the incompleteness of mathematics content, The diversity of mathematical expressions and the temporary conclusion of mathematics; finally, the clarification of the subject value of uncertain mathematical thought. The second part mainly discusses the educational value of uncertain mathematics thought. Firstly, uncertainty mathematics awakens teachers' consciousness of mathematics curriculum; second, creates the space of teachers' teaching creation; third, promotes the development of students' creativity. The third part: according to the results of interview, questionnaire and related theories, this paper analyzes the dilemma of uncertain mathematics in teaching practice. Firstly, most teachers and students hold the certainty view of mathematical knowledge; secondly, the textbook arrangement excessively pursues the certainty of mathematical knowledge; third, the mode of teaching and learning is stylized; finally, teachers' classroom evaluation skills are relatively lacking. The fourth part: gives the suggestion to the teaching based on the uncertainty mathematics thought. First, gradually infiltrate the concept of uncertainty of mathematical knowledge; second, give full play to teachers' teaching wit; third, improve students' mathematical imagination; fourth, establish a personalized evaluation system.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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