建构主义理论指导下的中学数学建模教学研究

发布时间：2018-04-04 03:54

本文选题：数学建模　切入点：建模教学　出处：《延边大学》2015年硕士论文

【摘要】：随着社会的进步,数学建模的应用得到了极大的肯定,在中学开展数学建模教学成为了热点话题。《义务教育数学课程标准(2011年版)》对数学建模作出的明确要求,肯定了数学建模教学的价值。但是由于我国开展数学建模课程时间短,大部分师生对数学建模的了解比较浅显,有关中学建模教学方面的研究很少。近些年有关建构主义理论的研究虽然很多,但是以建构主义理论来指导中学数学建模教学的研究却比较少。数学建模教学是数学教育的本质,而建构主义理论为深入地认识数学教育的本质提供了一种新的视角和理念,同时,建构主义理论强调的是学习者自己的主动意义建构,而数学建模过程就是学习者主动建构的过程,故本文选择以建构主义理论的观点探讨中学数学建模教学。本文首先阐述了建构主义理论的发展及基本观点。其次,对模型、数学模型、数学建模进行了概念界定,结合了对课程标准的解读,阐述了中学数学建模教学的重要意义：开展数学建模教学及相关建模活动可以培养学生信息整合能力、增强学生数学应用能力、培养学生的自主学习能力、计算机使用能力、团队合作能力、创新能力以及严谨治学能力。在进行实证研究时,科学地采用了问卷调查法、访谈法以及比较法对延吉市第四中学的数学建模教学现状进行了调查分析,了解到目前我国中学数学建模教学在开展过程中存在的问题：对数学建模的定位错误、缺乏建模课程专业研究、教师专业水平限制、学生缺乏创新意识、学生主体地位的缺失、学生几何图形转化能力薄弱。通过调查分析,掌握第一审材料,根据自己所掌握的专业知识、基本的教育科学研究方法,以建构主义理论为指导对不同模型案例做逐个分析,从而提出以下教学策略：正确定位数学建模、加强建模课程研究、提高教师专业素质、培养学生创新意识、以学生为主体、增强学生几何图形转化能力。本研究旨在探索建构主义理论指导下的中学数学建模教学策略,有益于更好地去构筑中学数学建模教学体系,为改善目前数学建模教学现状提供一定的理论依据。
[Abstract]:With the progress of society, the application of mathematical modeling has been greatly affirmed, and the teaching of mathematical modeling in middle schools has become a hot topic.The value of mathematical modeling teaching is affirmed.However, due to the short time of the course of mathematical modeling in our country, most teachers and students have a relatively simple understanding of mathematical modeling, and there are few researches on the teaching of modeling in middle schools.Although there are a lot of researches on constructivism theory in recent years, there are few researches on how to use constructivism theory to guide the mathematics modeling teaching in middle school.Mathematics modeling teaching is the essence of mathematics education, and constructivism theory provides a new perspective and idea for further understanding the essence of mathematics education. Meanwhile, constructivism theory emphasizes the learner's own active meaning construction.The process of mathematical modeling is the process of learners' active construction, so this paper chooses to discuss the teaching of mathematical modeling in middle schools from the viewpoint of constructivism theory.This article first elaborated the constructivism theory development and the basic viewpoint.Secondly, it defines the concept of model, mathematical model and mathematical modeling, and combines the interpretation of curriculum standards.This paper expounds the important significance of mathematical modeling teaching in middle school: developing mathematical modeling teaching and related modeling activities can train students' ability of information integration, enhance students' ability of mathematics application, cultivate students' ability of autonomous learning and use of computers.Team work ability, innovation ability and rigorous academic ability.In the empirical research, the questionnaire, interview and comparison methods are used scientifically to investigate and analyze the present situation of mathematical modeling teaching in the fourth middle school of Yanji.To understand the problems existing in the process of mathematics modeling teaching in middle school in our country at present: wrong positioning of mathematical modeling, lack of professional research of modeling curriculum, limitation of teachers' professional level, lack of innovative consciousness of students, lack of students' main position.The ability of students to transform geometry is weak.Through investigation and analysis, master the materials of first instance, according to their own professional knowledge, the basic educational science research methods, guided by constructivism theory to different model cases one by one analysis.Therefore, the following teaching strategies are put forward: correctly positioning mathematical modeling, strengthening the research of modeling course, improving teachers' professional quality, cultivating students' innovative consciousness, taking students as the main body, and enhancing students' ability of geometric transformation.The purpose of this study is to explore the teaching strategies of mathematical modeling in middle schools under the guidance of constructivism theory, which is beneficial to construct the teaching system of mathematical modeling in middle schools, and to provide some theoretical basis for improving the present situation of mathematical modeling teaching in middle schools.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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