湖南高一学生指数幂运算和对数运算能力现状调查研究

发布时间：2018-04-18 19:24

本文选题：运算能力 + 能力水平　；参考：《华东师范大学》2017年硕士论文

【摘要】：数学运算是六大核心数学素养之一,一直是数学教育培养的焦点,但一线教师却发现中学生的运算能力呈现退步的趋势。本研究选取湖南某学校201名高一学生作为研究对象;在林崇德关于运算能力的水平划分理论和SOLO水平分类理论基础上,将数学运算能力分为两个维度(指数幂运算和对数运算)制定了水平划分框架并编制了测试工具;采取理论与实证相结合;用软件EXCLE和SPSS20.0对测试卷的数据进行统计分析。本研究希望回答研究问题:现如今高一学生在这两个维度上运算能力水平现状如何?两个维度的能力之间是否有相关性?数学运算能力水平现状如何?是否有性别差异?经过数据分析得出以下结论:学生在维度一上的主要集中在1,2水平,而在维度二上主要集中在水平2,且大致成正态分布;两维度间的能力水平有很强的相关性;高一学生的数学运算能力大多处于水平1和水平2,男生数学运算能力比女生强,且存在显著的性别差异,但是在正确率以及运算速度上,并不存在显著的性别差异;基于以上结论,本文给出了两点教学启示:一个是关于指数与对数的教学,另外一个是关于数学运算能力的培养。
[Abstract]:Mathematics operation is one of the six core mathematics literacy and has always been the focus of mathematics education. But the first-line teachers found that the middle school students' computing ability showed a trend of retrogression.In this study, 201 senior high school students in a school in Hunan Province were selected as the research objects, and based on Lin Chongde's theory of level classification of operational ability and SOLO level classification theory,The mathematical operation ability is divided into two dimensions (exponential power operation and logarithmic operation). The horizontal partition framework is established and the testing tools are compiled. The combination of theory and practice is adopted; the statistical analysis of test volume data is carried out by software EXCLE and SPSS20.0.This study hopes to answer the research question: what is the present situation of the operational ability of senior one students in these two dimensions?Is there a correlation between the capabilities of the two dimensions?What is the current level of mathematical computing ability?Are there gender differences?Through the analysis of the data, the following conclusions are drawn: the students' ability level in dimension one is mainly concentrated at level 1 / 2, while in dimension 2, it is mainly concentrated in level 2 and is approximately normal distribution, and the ability level of the two dimensions is highly correlated with each other.The mathematics operation ability of senior one students is mostly in level 1 and level 2. The male students' mathematics operation ability is stronger than that of female students, and there is significant gender difference, but there is no significant gender difference in correct rate and operation speed.Based on the above conclusions, this paper gives two enlightenments: one is about the teaching of exponent and logarithm, the other is about the cultivation of mathematical operation ability.
【学位授予单位】：华东师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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