<rdf:RDF xmlns:community="http://www.bibsonomy.org/ontologies/2008/05/community#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:owl="http://www.w3.org/2002/07/owl#" xmlns:admin="http://webns.net/mvcb/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:syn="http://purl.org/rss/1.0/modules/syndication/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:taxo="http://purl.org/rss/1.0/modules/taxonomy/" xmlns:cc="http://web.resource.org/cc/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" xmlns:swrc="http://swrc.ontoware.org/ontology#" xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#" xmlns="http://purl.org/rss/1.0/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xml:base="http://www.bibsonomy.org/tag/sequnces"><owl:Ontology rdf:about=""><rdfs:comment>BibSonomy publications for /tag/sequnces</rdfs:comment><owl:imports rdf:resource="http://swrc.ontoware.org/ontology/portal"/></owl:Ontology><rdf:Description rdf:about="http://www.bibsonomy.org/bibtex/2f7705204cb381d4853cffcde77b6a57a/yish"><owl:sameAs rdf:resource="http://www.bibsonomy.org/uri/bibtex/2f7705204cb381d4853cffcde77b6a57a/yish"/><rdf:type rdf:resource="http://swrc.ontoware.org/ontology#Article"/><owl:sameAs rdf:resource="http://telearn.noe-kaleidoscope.org/open-archive/browse?resource=237"/><swrc:date>Fri Feb 04 12:43:34 CET 2011</swrc:date><swrc:journal>the International Journal for Technology in Mathematics Education</swrc:journal><swrc:number>2</swrc:number><swrc:pages>65-78</swrc:pages><swrc:title>Designing to see and share structure in number sequences</swrc:title><swrc:volume>13</swrc:volume><swrc:year>2006</swrc:year><swrc:keywords>CiHB ILE KalDesignResearch PlanetMakingStuffTogether algebra cerme6 constructionism design gmr haifa-edtech ijtme2006 learning mathematics maths my myown mythesis noe-kaleidoscope number polonsky selected sequences sequnces toontallk top weblabs webreports </swrc:keywords><swrc:abstract>This paper reports on a design experiment in the domain of number sequences conducted in the course of the WebLabs project. We iteratively designed and tested a set of activities and tools in which 10-14 year old students used the ToonTalk programming environment to construct models of sequences and series, and then shared their models and their observations about them utilising a web-based collaboration system. We report on the evolution of a design pattern (programming method) called “Streams” which enables students to engage in the process of summing and “hold the series in their hand”, and consequently make sophisticated arguments regarding the mathematical structures of the sequences without requiring the use of algebra. While the focus of this paper is mainly on the design of activities and its epistemological foundations, we include some illustrative examples of one group of students&#039; work, which indicate the potential of the activities and tools for expressing and reflecting on deep mathematical ideas.</swrc:abstract><swrc:hasExtraField><swrc:Field swrc:value="0" swrc:key="priority"/></swrc:hasExtraField><swrc:hasExtraField><swrc:Field swrc:value="387332" swrc:key="citeulike-article-id"/></swrc:hasExtraField><swrc:author><rdf:Seq><rdf:_1><swrc:Person swrc:name="Yishay Mor"/></rdf:_1><rdf:_2><swrc:Person swrc:name="Richard Noss"/></rdf:_2><rdf:_3><swrc:Person swrc:name="Celia Hoyles"/></rdf:_3><rdf:_4><swrc:Person swrc:name="Ken Kahn"/></rdf:_4><rdf:_5><swrc:Person swrc:name="Gordon Simpson"/></rdf:_5></rdf:Seq></swrc:author></rdf:Description><rdf:Description rdf:about="http://www.bibsonomy.org/bibtex/26c88535432e52b080820cefc79999fec/yish"><owl:sameAs rdf:resource="http://www.bibsonomy.org/uri/bibtex/26c88535432e52b080820cefc79999fec/yish"/><rdf:type rdf:resource="http://swrc.ontoware.org/ontology#TechnicalReport"/><swrc:date>Sat Jul 21 18:02:11 CEST 2007</swrc:date><swrc:address>Sudbery</swrc:address><swrc:institution><swrc:Organization swrc:name="Qualifications and Curriculum Authority"/></swrc:institution><swrc:title>Standards at key stage 2, English, mathematics and science: a report for headteachers, class teachers and assessment coordinators on the 2001 National Curriculum assessments for 11-year-olds</swrc:title><swrc:year>2002</swrc:year><swrc:keywords>QCA assesment divisibility evaluation sequnces test </swrc:keywords><swrc:author><rdf:Seq><rdf:_1><swrc:Person swrc:name=" QCA"/></rdf:_1></rdf:Seq></swrc:author></rdf:Description><foaf:Group rdf:about="http://www.bibsonomy.org/tag/sequnces"><foaf:name>sequnces</foaf:name><description>Community for tag(s) sequnces</description></foaf:Group></rdf:RDF>
