Digital Experiences of Mathematical Cognitive Functions in Learning the Basic Concepts of General Topology

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Giovannina Albano, Samuele Antonini, Annamaria Miranda
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引用次数: 0

Abstract

This paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the development of the students’ mathematical identity. The design exploits the production of examples and investigation of variations and invariants, exploration of problems and generation of conjectures, and an extension intertwining of the ‘inside-out’ model from the Digital Interactive Storytelling in Mathematics with the Thinking Classroom model at university education. We present a didactic activity based on the identified design principles and discuss the preliminary results of a pilot carried out with fifty mathematics undergraduate students, attending their second year of the mathematics degree.

Abstract Image

学习一般拓扑学基本概念的数学认知功能数字体验
本文旨在为数学本科生的教育活动定义和探索远程技术环境下的设计原则,该活动致力于构建一般拓扑学的基本概念、促进问题解决过程、发展元认知方面,以及总体上发展学生的数学身份。该设计利用了实例的制作和对变式和不变式的研究、对问题的探索和猜想的产生,以及数学数字互动故事中的 "由内而外 "模式与大学教育中的 "思维课堂 "模式的延伸交织。我们介绍了基于所确定的设计原则的教学活动,并讨论了在 50 名数学本科二年级学生中开展的试点活动的初步结果。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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