KOPS - Das Institutionelle Repositorium der Universität Konstanz

Modeling ancient and modern arithmetic practices : addition and multiplication with Arabic and Roman numerals

Modeling ancient and modern arithmetic practices : addition and multiplication with Arabic and Roman numerals

Zitieren

Dateien zu dieser Ressource

Prüfsumme: MD5:db20c48b833133655a06e5930ae141f1

SCHLIMM, Dirk, Hansjörg NETH, 2008. Modeling ancient and modern arithmetic practices : addition and multiplication with Arabic and Roman numerals. CogSci. Washington, D.C., USA, 23. Jul 2008 - 26. Jul 2008. In: COGNITIVE SCIENCE SOCIETY, , ed.. 30th annual conference of the Cognitive Science Society : CogSci 2008 ; July 23 - 26, 2008, Washington, D.C., USA. CogSci. Washington, D.C., USA, 23. Jul 2008 - 26. Jul 2008. 4. Red Hook, NY:Curran, pp. 2097-2102. ISBN 978-1-60560-542-5

@inproceedings{Schlimm2008Model-28387, title={Modeling ancient and modern arithmetic practices : addition and multiplication with Arabic and Roman numerals}, year={2008}, isbn={978-1-60560-542-5}, address={Red Hook, NY}, publisher={Curran}, booktitle={30th annual conference of the Cognitive Science Society : CogSci 2008 ; July 23 - 26, 2008, Washington, D.C., USA}, pages={2097--2102}, editor={Cognitive Science Society}, author={Schlimm, Dirk and Neth, Hansjörg} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/28387"> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/43"/> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dc:creator>Neth, Hansjörg</dc:creator> <dcterms:bibliographicCitation>30th annual conference of the Cognitive Science Society : CogSci 2008 ; July 23 - 26, 2008, Washington, D.C., USA ; Vol. 4 / Cognitive Science Society. - Red Hook, NY : Curran, 2008. - S. 2097-2102. - ISBN 978-1-60560-542-5</dcterms:bibliographicCitation> <dc:language>eng</dc:language> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/28387/1/Schlimm_283870.pdf"/> <dc:contributor>Neth, Hansjörg</dc:contributor> <dcterms:title>Modeling ancient and modern arithmetic practices : addition and multiplication with Arabic and Roman numerals</dcterms:title> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2014-07-23T07:42:44Z</dcterms:available> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/43"/> <dcterms:issued>2008</dcterms:issued> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2014-07-23T07:42:44Z</dc:date> <dcterms:abstract xml:lang="eng">To analyze the task of mental arithmetic with external representations in different number systems we model algorithms for addition and multiplication with Arabic and Roman numerals. This demonstrates that Roman numerals are not only informationally equivalent to Arabic ones but also computationally similar - a claim that is widely disputed. An analysis of our models' elementary processing steps reveals intricate trade-offs between problem representation, algorithm, and interactive resources. Our simulations allow for a more nuanced view of the received wisdom on Roman numerals. While symbolic computation with Roman numerals requires fewer internal resources than with Arabic ones, the large number of needed symbols inflates the number of external processing steps.</dcterms:abstract> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/28387"/> <dc:rights>deposit-license</dc:rights> <dc:creator>Schlimm, Dirk</dc:creator> <dc:contributor>Schlimm, Dirk</dc:contributor> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/28387/1/Schlimm_283870.pdf"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 01.10.2014 (Informationen über die Zugriffsstatistik)

Schlimm_283870.pdf 225

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto