期刊文献+

基于APOS理论的高中生集合理解情况调查研究

Investigation and Research on Set Understanding of High School Students Based on APOS Theory
下载PDF
导出
摘要 APOS理论由教育家杜宾斯基提出,突出学生学习概念所经历的操作、过程、对象、图式四个阶段。集合知识是初高中数学学习的重要衔接,是学生学习数学思想、发展数学思维、培养核心素养的关键知识。本文通过调查研究,分析黄冈市黄州区某高中高一至高三学生对集合知识的理解。研究发现:多数学生对集合概念达到操作和过程阶段,部分学生达到对象阶段,较少学生达到图式阶段。根据研究结论,从教师教学、学生学习、课程设计三个方面提出教学建议。 APOS theory, proposed by educator Dubinsky, highlights four stages of learning concepts: operation, process, object and schema. Set is an important connection between middle and high school mathematics learning, and is the key knowledge to learn mathematics thought, develop mathematics thinking and cultivate core quality. Through investigation and research, this paper analyzes the understanding of set knowledge of senior high school students in Huangzhou District, Huanggang City. It is found that most students reach the action and process stage, some students reach the object stage, and few students reach the schema stage. According to the research conclusion, teaching suggestions are put forward from three aspects: teacher teaching, student learning and curriculum design.
出处 《创新教育研究》 2023年第4期747-752,共6页 Creative Education Studies
  • 相关文献

参考文献3

二级参考文献15

  • 1李士锜.熟能生巧吗[J].数学教育学报,1996,(3).
  • 2张奠宙.数学教育经纬[M].南京:江苏教育出版社,2003.
  • 3[美]克莱因.古今数学思想(第一卷)[M].上海:上海科技出版社,1979.
  • 4NCTM.美国学校数学教育的原则和标准[S].蔡金法译.北京:人民教育出版社,2004.
  • 5Tall D,Vinner S.Concept image and concept definition in mathematics with particular reference to limits and continuity[J].Eductional studies in mathematics,1981,12(2):151-169.
  • 6Gray E,Tall D.Relationships between embodied objects and symbolic procepts:an explanatory theory of success and failure in mathematics[J].Published in Proceedings of PME25,2001(8):65-72.
  • 7Sfard A.On the dual nature of mathematical conception:reflctions on processes and objects as different sides of the same coin[J].Educational Studies in Mathematics,1991(22):1-36.
  • 8Dubinsky Ed,Elterman F.The student's construction of quantification[J].For the Learning of Mathematics,1988,8(2):44-51.
  • 9Brown A Devries,Dubinsky D J.Learning binary operations,groups and subgroups[J].Journal of Mathematical Behavior,1997,16(3):187-239.
  • 10Dubinsky Ed.A reaction to"a critique of the selection of mathematical objects'as a central metaphor for advanced mathematical thinking"by confrey and costa[J].International Journal of Computers for Mathematical Learning,1997(2):67-91.

共引文献48

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部