对中职学生三角函数错误类型的研究-教育专业论文.docxVIP

I I 对中职学生三角函数错误类型的研究 中文摘要 中文摘要 三角函数单元是中学阶段基础数学相当重要的一个环节。本研究之主要目的 在探究中职学生在三角函数概念与运算方面的错误类型，以及形成错误的原因。 本文是以文献研究、调查研究法、访谈等方法进行。通过编制的三角函数错 误类型测试卷，经对 2010 年某校 4 个班级 171 名学生正式施测后，再归纳整理并 选取受试者进行非标准化访谈，研究发现中职学生在三角函数概念与运算方面的 错误类型有下列 5 项：（1）角的概念错误；（2）三角函数值正负判断错误；（3） 误认为余弦函数为奇函数；（4）三角基本公式运算错误；（5）先备知识不足导致 错误。 从学生的认知结构出发，分析错误原因，得到：学生出现的错误类型多属于 知识性错误和策略性错误为主。有以下 5 种表现（1）基本概念缺乏或公式遗忘； （2）使用不恰当的解题策略；（3）毫无依据推理；（4）忽视条件限制；（5）先备 知识不足。 最后针对研究结果，根据中职学生的特点提出了对三角函数一章在教学、评 价方式以及编制内容上的建议。 关键词：中职学生、三角函数、错误类型、错误原因 作 者：李 翔 指导教师：王金才 II II Abstract Research on error type of trigonometric function of Secondary vocational school students Research on error type of trigonometric function of Secondary vocational school students Abstract Trigonometric function is a very important part of secondary school mathematics study basis. The main purpose of this study is to explore the wrong type of Trigonometric function of vocational students in terms of concept and counting, and also the reason of error. This research bases on literature research, survey research, interviews and other methods. Conclude the results through the trigonometric function test on 171 students from four classes. The participants are picked up to take non-standardized interview. There are five wrong type of Trigonometric function as following：（1） the wrong concept of angle; (2) determination of positive and negative error of trigonometric functions (3) wrongly believe the cosine function is an odd function; (4) the basic formula of triangular operation error; (5) lack of prior knowledge Analysis of error from the students cognitive structure: many types of student errors are strategic errors and knowledge-based errors as following: (1) lack of the basic concepts or formulas forgotten; (2) using inappropriate solving method; (3) no basis for reasoning; (4) ignore conditions; (5) lack of prior knowledge. Finally, according to the characteristics of vocational students, some suggestions are proposed for teaching, evaluation and content c