caa a22 4500 445345497 CHVBK 20180317142827.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10758-011-9175-0 doi (NATIONALLICENCE)springer-10.1007/s10758-011-9175-0 Young Students Exploring Cardinality by Constructing Infinite Processes [Elektronische Daten] [Ken Kahn, Evgenia Sendova, Ana Sacristán, Richard Noss] In this paper, we describe the design and implementation of computer programming activities aimed at introducing young students (9-13years 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. Springer Science+Business Media B.V., 2011 Infinity nationallicence Cardinality nationallicence ToonTalk nationallicence Constructionism nationallicence Programming nationallicence Kahn Ken London Knowledge Lab, Institute of Education, 23-29 Emerald Street, WC1N 3QS, London, UK aut Sendova Evgenia Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev bl. 8, 1113, Sofia, Bulgaria aut Sacristán Ana Department of Mathematics Education, Centre for Research and Advanced Studies (Cinvestav), Av. IPN 2508, 07360, Mexico, DF, Mexico aut Noss Richard London Knowledge Lab, Institute of Education, 23-29 Emerald Street, WC1N 3QS, London, UK aut Technology, Knowledge and Learning Springer Netherlands 16/1(2011-04-01), 3-34 2211-1662 16:1<3 2011 16 10758 https://doi.org/10.1007/s10758-011-9175-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10758-011-9175-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kahn Ken London Knowledge Lab, Institute of Education, 23-29 Emerald Street, WC1N 3QS, London, UK aut NATIONALLICENCE 700 1- Sendova Evgenia Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev bl. 8, 1113, Sofia, Bulgaria aut NATIONALLICENCE 700 1- Sacristán Ana Department of Mathematics Education, Centre for Research and Advanced Studies (Cinvestav), Av. IPN 2508, 07360, Mexico, DF, Mexico aut NATIONALLICENCE 700 1- Noss Richard London Knowledge Lab, Institute of Education, 23-29 Emerald Street, WC1N 3QS, London, UK aut NATIONALLICENCE 773 0- Technology, Knowledge and Learning Springer Netherlands 16/1(2011-04-01), 3-34 2211-1662 16:1<3 2011 16 10758 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer