中学生数学表达能力培养之研究

发布时间：2018-12-12 02:46

【摘要】：数学学习是数学语言的学习,而数学表达能力则是决定数学语言学习程度的一项基本能力。有良好的数学表达能力,才能够很好的对符号语言、自然语言、图表语言这三类数学语言进行转换,从而更好地学习数学知识。本文分析了数学表达能力的重要性,介绍了与数学语言能力相关的概念.根据相关文献,简要叙述了中学数学教育在培养数学表达能力方面存在的欠缺,以及针对这些欠缺所的改进意见。笔者在这些改进对策的基础上提出“预习引导,完成课前作业---课堂检测,互改作业—交流讨论,答疑解惑—课堂总结,布置课后作业”的新型教学模式,来更好的提高中学生数学表达能力。在理论方面,该模式试图创设一种全新的环境,使得学生在轻松愉快的氛围中,带着积极的态度来自主地学习数学,将乏味的数学知识变得有吸引力,使得学生能够在这种教学模式的影响下将数学知识“想得清楚,说得明白,写得干净”。同时,还提出了一些辅助这套教学模式的教学活动,意在更好的培养学生的独立探究能力和数学表达能力。在实践方面,笔者依据这套教学模式对安徽晓天某校七年级学生进行了为期半年的教学实践,试验期间,A班用新型模式教学,B班用“传递-接受”教学方式。并在实验前后两次对该校七年级学生的数学表达能力进行问卷调查。通过对调查结果进行分析比较,发现在这套模式的影响下,中学生不仅能够更加清晰的表述自己的数学知识,还能够客观公正的评价别人,尊重别人的意见,各方面的素质得以提高。因此,这一教学模式是具有可行性的。
[Abstract]:Mathematics learning is the study of mathematical language, and the ability of mathematical expression is a basic ability to determine the learning degree of mathematical language. Only with good mathematical expression ability can the three mathematical languages such as symbol language, natural language and chart language be transformed into each other, so as to learn mathematics knowledge better. This paper analyzes the importance of mathematical expression ability and introduces the concepts related to mathematical language ability. According to the relevant literature, this paper briefly describes the deficiency in the training of mathematical expression ability in middle school mathematics education, and the suggestions for improving these deficiencies. On the basis of these improvement countermeasures, the author puts forward a new teaching mode of "preview guidance, completion of homework-classroom testing before class, mutual modification of homework-exchange and discussion, answer questions-classroom summary, assignment of homework after class". To better improve the mathematical expression ability of middle school students. In theory, the model attempts to create a completely new environment in which students learn mathematics with a positive attitude in a relaxed and pleasant atmosphere, making boring mathematical knowledge attractive. It enables students to "think clearly, speak clearly and write cleanly" under the influence of this teaching model. At the same time, it also puts forward some teaching activities to assist the teaching model, which is intended to better cultivate students' ability of independent inquiry and mathematical expression. In practice, according to this teaching model, the author has carried on the teaching practice for half a year to the seventh grade students of a certain school in Xiaotian, Anhui. During the experiment period, class A uses a new mode of teaching, while class B uses the teaching method of "transition-acceptance". Before and after the experiment, a questionnaire survey was conducted on the mathematical expression ability of the seventh grade students in this school. Through the analysis and comparison of the results of the investigation, it is found that under the influence of this model, middle school students can not only express their mathematical knowledge more clearly, but also can objectively and fairly evaluate others and respect their opinions. All aspects of the quality can be improved. Therefore, this teaching mode is feasible.
【学位授予单位】：湖南师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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