对小学生数学估计能力的认知诊断研究

发布时间：2018-02-09 19:38

本文关键词： 估计认知诊断 DINA模型　出处：《闽南师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：2001年《义务教育数学课程标准(实验稿)》将“估算”纳入小学数学教学内容,引起了众多专家学者和一线教师的广泛关注。现有的相关文献一般将估计分成估算、估测与估数三类,通过追述口语报告,本研究发现估数是估测与估算的基础。DINA模型是一种结构简单、解释性好且被广泛认可的认知模型。为了比较小学第一学段与第二学段的学生在估数、估算和估测三方面的结构差异,本研究结合《义务教育数学课程标准(2011年版)》和人民教育出版社出版的义务教育数学教科书,开发出小学第一学段与第二学段的两套估计测试题。运用认知诊断理论对随机抽取的两所小学的三年级共473人和六年级共426人进行诊断。数据处理采用了R语言软件,采用极大似然估计(MLE)和最大后验估计(MAP)两种模型参数估计方法。两种参数估计的掌握模式归入率均达60%以上,拟合效度好。DINA模型的猜测参数和失误参数大部分在0.4以下,模型拟合可靠性好。经诊断发现,第一学段的学生以估数与估测为主,第二学段的学生以估算为主;估数在第一学段已掌握较好。
[Abstract]:In 2001, the Mathematics Curriculum Standard for compulsory Education (Experimental draft) brought "estimation" into the content of mathematics teaching in primary schools, which has aroused the widespread concern of many experts and scholars and teachers of the first line. The existing relevant literature will generally divide the estimation into estimates. There are three types of estimation and estimation. By reviewing the oral report, this study finds that estimation is the basis of estimation and estimation. The Dina model is a simple structure. A well-interpreted and widely accepted cognitive model. In order to compare the structural differences in estimating, estimating, and estimating students in the first and second stages of primary school, This study combines the Mathematics Curriculum Standard for compulsory Education (2011 Edition) and the Mathematics textbook for compulsory Education published by the people's Education Publishing House. Two sets of estimation tests for the first and second primary schools were developed. Using the cognitive diagnostic theory, 473 students in grade 3 and 426 in grade 6 in randomly selected primary schools were diagnosed. The R language software was used to process the data. Maximum likelihood estimation (MLE) and maximum posteriori estimation (MPE) were used to estimate the parameters of the two models. The mastering models of the two parameter estimators were above 60%, and the guess parameters and error parameters of the model with good fitting validity and Dina model were mostly below 0. 4. The model fitting reliability is good. It is found that the students in the first stage are mainly estimated and estimated, while the students in the second stage are mainly in the estimation, and the estimation has been mastered well in the first stage.
【学位授予单位】：闽南师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G623.5

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