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Young Students Exploring Cardinality by Constructing Infinite Processes

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Title: Young Students Exploring Cardinality by Constructing Infinite Processes
Language: English
Authors: Kahn, Ken, Sendova, Evgenia, Sacristan, Ana Isabel, Noss, Richard
Source: Technology, Knowledge and Learning. Apr 2011 16(1):3-34.
Availability: Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Peer Reviewed: Y
Page Count: 32
Publication Date: 2011
Document Type: Journal Articles
Reports - Research
Education Level: Elementary Secondary Education
Descriptors: Foreign Countries, Programming Languages, Programming, Educational Strategies, Mathematics Instruction, Science Instruction, Computer Science Education, Mathematical Concepts
DOI: 10.1007/s10758-011-9175-0
ISSN: 2211-1662
Abstract: 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.
Abstractor: As Provided
Number of References: 20
Entry Date: 2011
Accession Number: EJ931577
Database: ERIC
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  Data: 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.
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