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中学数学建模教学研究与实践

Research and Practice of Teaching and Learning of Mathematical Modelling in Secondary Schools

【作者】 邵东生

【导师】 张胜元;

【作者基本信息】 福建师范大学 , 教育, 2001, 硕士

【摘要】 数学应用是数学教育的重要内容,呼唤数学应用意识,提高数学应用教学质量,已成为广大数学教育工作者的共识。开展中学数学建模教学与应用的研究,对提高学生数学应用意识,培养学生灵活的思维能力,分析问题、解决问题的能力,促进中学数学教学改革,全面推进中学数学素质教育有重要意义。 本文在对数学模型、数学建模研究的基础上,总结开展中学数学建模教学活动的设计原则,教学形式,教学方法,教学内容(第1、2、3章),以及中学数学建模教学与高中应用性问题教学(第4章),探讨开展中学数学建模教学的意义(第5章)。本文提出数学问题解决的心理机制和教学途径对开展中学数学建模教学有重要启示(第6章);提出数学建构主义学习的主要特征对中数建模教学有重要的指导作用,认为中数建模教学是中学生主动建构的探索过程,要真正确立中学生在中数建模教学过程中的主体地位(第7章)。第8章主要阐述在中数建模教学中实施中学数学素质教育的认识与实践,提出中学数学建模教学是高中数学研究性课题学习的重要方面,认为必须优化中学数学建模教学过程,在此教学过程中必须强调数学应用,注重发展学生的非智力因素,注重开发数学建模活动的德育功能。第9章探讨中学数学建模与计算机辅助教学的互相结合和渗透。

【Abstract】 Abstract Mathematics applying is such an impoitant part hi mathematics education that calling for mathematics applying consciousness and improving the teaching quality of mathematics applying have become the common recognition among the vast numbers of mathematics educators. Canying out the research into secondary school mathematics modelling teaching and applying is of great significance it can improve the students? mathematics applying consciousness, develop students?thinldng capacity and ability to analyse and solve problems, promote the reform in secondary school mathematics teaching and give impetus to the secondary school mathematics quality-oriented education in an all-round way. Based on the reseaich into mathematics model and mathematics modelling, this paper summarizes the designing principle~ teaching made teaching method and teaching content in the first three chapters; in chapter 4,it sums up the mathematics modeling teaching in secondary school and applied question teaching in senior middle school; in chapter 54t discusses the significance of canying out mathematics modeling teaching in secondary school; in chapter 6, it points out that the psychological mechanism and teaching ways in solving mathematics problems offer a good deal of enlightenment to cany out secondary school mathematics modelling teaching; in chapter 7, it points out that the main characteristics of mathematics constnictivism study play an important and instinctive part in secondary school mathematics modelling teaching; holding that secondary school mathematics modelling teaching is the probing process of students? active study and should be student-centred; in chapter 8, it expounds the cognition and practice hi the implementation of secondary school mathematics quality- oriented education and points out that secondary school mathematics modelling teaching is an important part in research studying , holding that it抯 necessary to improve the teaching process of secondary school mathematics modelling teaching, to emphasize the mathematics applying and to pay attention to the development of students?non- intellectual factor and the moral educational fimction; in chapter 9,it discusses the mutual combination and infiltration between secondary school mathematics modelling teaching and CAT (Computer Assisted Instruction).

  • 【分类号】G633.6
  • 【被引频次】8
  • 【下载频次】2122
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