Young Students Exploring Cardinality by Constructing Infinite Processes
| Autor: | Evgenia Sendova, Ana Isabel Sacristán, Ken Kahn, Richard Noss |
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| Rok vydání: | 2011 |
| Předmět: |
Computational model
Infinite set business.industry Computer science media_common.quotation_subject Computer programming Infinity Science education Rigour Computer Science Applications Education Human-Computer Interaction Mathematics (miscellaneous) Cardinality Mathematics education business Programming language theory media_common |
| Zdroj: | Technology, Knowledge and Learning. 16:3-34 |
| ISSN: | 2211-1662 |
| DOI: | 10.1007/s10758-011-9175-0 |
| Popis: | In this paper, we describe the design and implementation of computer programming activities aimed at introducing young students (9–13 years old) to the idea of infinity, and in particular, to the cardinality of infinite sets. This research was part of the WebLabs project where students from several European countries explored topics in mathematics and science by building computational models and programs, which they shared and discussed. We focus on a subset of the work in which students explored concepts of cardinality of infinite sets by interpreting and constructing computer programs in ToonTalk, a programming language and environment that is especially well-suited for young students. Our hypothesis is that via carefully designed computational explorations within an appropriately constructed medium, infinity can be approached in a learnable way that does not sacrifice the rigour necessary for mathematical understanding of the concept, and at the same time contributes to introducing the real spirit of mathematics to the school classroom. |
| Databáze: | OpenAIRE |
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