“数学解题反思”研究的元研究

The Meta-Research on the Study of Mathematical Problem-Solving Reflection

运用文献分析法和元分析法,对211篇数学解题反思研究论文进行研究,主要分析其基本情况、研究方法、研究对象、研究内容,并进行相应评价与研究展望等,以便数学教师和数学教育研究者了解该主题的相关研究.主要研究结论:(1)进行数学解题反思研究的主要研究者是初高中数学教师,其研究主要集中于初高中教育阶段;(2)有无参考文献的研究论文(几乎)各占一半,且参考文献数量偏少,平均每篇论文引用3.5篇参考文献;(3)研究方法主要是经验总结法和案例分析法;(4)论文所涉及的主要研究对象分布不均衡;(5)针对不同研究对象的研究内容有较大差异,针对同一研究对象的研究内容,因其研究侧重不同也有所不同.

The paper mainly studied the 211 research papers of mathematical problem-solving reflection. Through literature analysis and meta-analysis, This paper mainly analyzed the following contents of these research papers： ＂the basic situation＂, the research methods, the research objects and the research contents. On this base, the existing studies were evaluated and the main research conclusions and prospects were drawn. So that mathematics teachers and mathematics education researchers could understand the subject conveniently. The main conclusions were as follows： （1） The main researchers on mathematical problem-solving reflection were Junior and high school mathematics teachers, and the researches mainly focus on the stage of junior and high school education; （2） Almost half of the papers had reference, while the other half had no reference, and the number of references was less, the average number of references of each paper was 3.5; （3） The main research methods were Experiential Summary Method and Case Analysis; （4） The distribution of the main research objects in the papers was not balanced; （5） There were a lot of differences in the research contents of the different research objects, and the research contents of the same obiect was somewhat different because of the focuses of the studies are different.