GeoGebra环境下文科生学习《大学文科数学》的教学设计与实践研究

发布时间：2018-03-10 12:11

本文选题：GeoGebra　切入点：《大学文科数学》　出处：《上海师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：随着素质教育的推进与教育水平的不断提高,越来越多的高校开始给文科大学生开设《大学文科数学》的课程,旨在培养文科生的数学素养,使他们在日后的学习与工作中能够利用数学理性的思维方式去解决一些实际问题。但是,由于种种原因,文科生学习该课程的成效并不理想。同时,该课程教学内容与教学目标的变化也使得教学方法需要不断地更新。以PPT课件为主要手段的多媒体技术开始逐渐被高校教师所采用,但在使用的过程中依然存在着许多困扰与不足。随着GeoGebra软件的出现与不断完善,利用此软件辅助中学生学习数学的教学研究越来越多,高校教师也开始使用该软件并探讨其在高等数学教学中的应用。本文就是在此基础上展开研究,希望借助GeoGebra软件改善文科生学习《大学文科数学》的学习效果,提高他们的数学素养和学习该课程的兴趣。首先,以上海某高校的三个文科专业为例,调查了文科生学习《大学文科数学》和使用现代信息技术的基本情况。根据调查的结果制定了在Geo Gebra环境下,文科生学习《大学文科数学》的教学目标,教学内容,教学模式以及教学策略。再依据认知主义学习理论、多元表征理论以及数学核心素养的三个维度设计了GeoGebra环境下该课程的教学案例。最后,经过教学实践研究,笔者得到如下结论:在GeoGebra环境下学习《大学文科数学》能够激发文科生学习数学的兴趣与积极性,帮助他们准确理解数学概念,形成严谨的数学思维品质,并体会到数学的美学价值与应用价值。
[Abstract]:With the promotion of quality education and the continuous improvement of education level, more and more colleges and universities begin to offer liberal arts students the course of "College Liberal Arts Mathematics" in order to cultivate the mathematics literacy of liberal arts students. So that they can use mathematical rational thinking mode to solve some practical problems in their future study and work. However, for a variety of reasons, the effectiveness of arts students to learn the course is not ideal. At the same time, The change of teaching content and teaching goal of this course also makes the teaching method need to be updated constantly. The multimedia technology, which takes PPT courseware as the main means, is gradually adopted by university teachers. However, there are still many problems and deficiencies in the process of use. With the appearance and continuous improvement of GeoGebra software, there are more and more researches on how to use this software to assist middle school students in learning mathematics. College teachers have also begun to use the software and discuss its application in higher mathematics teaching. This paper is based on this research, hoping to improve the learning effect of liberal arts mathematics for liberal arts students with the help of GeoGebra software. Improve their math literacy and interest in studying the course. First, take three liberal arts majors in a university in Shanghai as an example. This paper investigates the basic situation of arts students' learning and using modern information technology. According to the results of the investigation, the teaching objectives and teaching contents of liberal arts mathematics for arts students under Geo Gebra environment are established. According to the three dimensions of cognitive learning theory, multi-representation theory and mathematics core accomplishment, the teaching cases of this course in GeoGebra environment are designed. The author comes to the following conclusion: learning "University Liberal Arts Mathematics" under the GeoGebra environment can stimulate the interest and enthusiasm of liberal arts students in learning mathematics, help them to understand mathematical concepts accurately, and form rigorous mathematical thinking quality. And realize the aesthetic value and application value of mathematics.
【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G642;G434

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