• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International Journal of Mathematical Education in Science and Technology >The interaction between intuitive and formal mathematical thinking: a case study
【24h】

The interaction between intuitive and formal mathematical thinking: a case study

机译：直观数学思维与形式数学思维之间的相互作用：一个案例研究

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper reports studies of the interaction between the intuitive, the formal and the procedural aspects in the processes of mathematical understanding of Peter, a first-year undergraduate of Mathematics. Using an activity and an interview, an attempt is made to analyse his mental operations. The way in which he handles visual-graphic representations in a problem of uniformly accelerating motion in order to reach mathematical conclusions and justify them with strict formal reasoning, making the transition from the intuitive assumptions to the mathematical argumentation, is studied. The 'focal analysis' of the interview's content allows for an in depth investigation of qualitative elements of the student's mathematical thought. The study of the cognitive operations through the interconnection of various theoretical perspectives may lead to teaching interventions in order to develop students' intuitive forces in a controlled manner, so that the formal mathematical thinking process can be promoted. This case study is part of a wider action research aiming to introduce first-year undergraduates to basic Calculus concepts.
机译：本文报告了对数学一年级学生彼得的数学理解过程中直觉，形式和程序方面之间的相互作用的研究。通过活动和访谈，尝试分析他的心理操作。研究了在均匀加速运动的问题中他处理视觉表示的方式，以便得出数学结论并通过严格的形式推理证明其合理性，从而实现从直观假设到数学论证的过渡。对面试内容的“重点分析”可以对学生数学思想的定性元素进行深入研究。通过各种理论观点的相互联系来研究认知操作可能会导致教学干预，从而以可控的方式发展学生的直觉力，从而促进正式的数学思维过程。此案例研究是旨在向大一新生介绍基本微积分概念的更广泛的行动研究的一部分。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号