【作者】 张宇薇；

【导师】 黄河明；

【作者基本信息】 四川师范大学 ， 教育技术学， 2003， 硕士

【摘要】 随着数学的应用领域不断扩大，数学应用能力的培养在数学教学中的紧迫性就愈加突显出来。信息技术的飞速发展及计算机的广泛应用也为改革当前大学理工科数学教学模式中存在的弊端，加强对学生数学应用能力的培养提供了新的思路和更方便有效的工具。 本论文在问卷调查和理论研究的基础上，提出了一个基于建构主义理论，以融合计算机和数学软件应用为特色，旨在促进大学理工科学生数学应用能力培养的数学教学模式，并利用实例对如何在课堂教学中实施新的数学教学模式进行了说明。论文所做的主要工作有： 第一，以四川师范大学数学软件学院、计算机科学学院、化学与生命科学学院和资源与环境科学学院的三、四年级学生作为调查对象，经过问卷拟制、预试、正式调查和数据分析四个步骤，得到了有关学生对当前大学理工科数学教学的反应，学生对数学应用能力的认识，以及对利用计算机促进数学应用能力培养的态度等方面的第一手资料。 第二，研究了建构主义的学习观和教学观，进一步分析了建构主义对数学教学的影响，指出建构主义提出的学习模式和教学模式对数学应用能力培养有积极的指导作用。 第三，提出了基于建构主义的数学应用能力培养教学模式，详细阐述了新教学模式的特征及教学方法，并将其与传统的数学教学模式作了全面的比较。 第四，选择大学理工科重要的数学基础课程《线性代数》作为实例内容，说明如何在课堂教学中采用新的数学教学模式培养学生的数学应用能力。更多还原

【Abstract】 Along with the enlargement of mathematical application domain, the training of mathematical application ability in teaching is very urgent. The rapid development of information technology and the wide application of computer supply a new thinking, a more convenient and effective tool for the improvement of current teaching model and the training of mathematical application ability.On the basis of questionnaire and theory study, this thesis puts forward a mathematical teaching model which is based on constructivism, compromises computer and mathematical software application, to promote the training of mathematical application ability of the students whose major is science and engineering. This paper gives an example to introduce how to use the new teaching model in classroom instruction. The main works are as follows:1. After drawing up questionnaire, advance test, formal test and data analysis, the situation of mathematical teaching model is understood clearly. The object of investigation is juniors and seniors of four science and engineering departments of Sichuan normal university.2. The paper studies the learning theory and teaching theory of constructivism, analyses further the influence of constructivism onmathematics teaching, indicates that the learning model and teaching model of constructivism can guide the training of mathematical application ability.3. According to the theory study and investigation, this paper gives a new mathematical teaching model, discusses its features and teaching methods, compares the traditional mathematical teaching model with the new one.4. Finally, an example, which is important elementary course linear algebra, is used to explain how to use the new mathematical teaching model to train the students’ mathematical application ability.更多还原