{"id":"https://openalex.org/W2049494654","doi":"https://doi.org/10.1007/s10758-008-9127-5","title":"Computational Construction as a Means to Coordinate Representations of Infinity","display_name":"Computational Construction as a Means to Coordinate Representations of Infinity","publication_year":2008,"publication_date":"2008-02-22","ids":{"openalex":"https://openalex.org/W2049494654","doi":"https://doi.org/10.1007/s10758-008-9127-5","mag":"2049494654"},"language":"en","primary_location":{"id":"doi:10.1007/s10758-008-9127-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10758-008-9127-5","pdf_url":null,"source":{"id":"https://openalex.org/S174140584","display_name":"International Journal of Computers for Mathematical Learning","issn_l":"1382-3892","issn":["1382-3892","1573-1766"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computers for Mathematical Learning","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084296745","display_name":"Ana Isabel Sacrist\u00e1n","orcid":"https://orcid.org/0000-0002-6132-838X"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]},{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Ana Isabel Sacrist\u00e1n","raw_affiliation_strings":["Department of Mathematics Education, Centre for Research and Advanced Studies (Cinvestav), Av. Instituto Polit\u00e9cnico Nacional 2508, Col. San Pedro Zacatenco, Mexico, DF, 07360, Mexico","Department of Mathematics Education, Centre for Research and Advanced Studies (Cinvestav), Mexico, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Centre for Research and Advanced Studies (Cinvestav), Av. Instituto Polit\u00e9cnico Nacional 2508, Col. San Pedro Zacatenco, Mexico, DF, 07360, Mexico","institution_ids":["https://openalex.org/I59361560"]},{"raw_affiliation_string":"Department of Mathematics Education, Centre for Research and Advanced Studies (Cinvestav), Mexico, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102984056","display_name":"Richard Noss","orcid":"https://orcid.org/0000-0003-3820-5661"},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Richard Noss","raw_affiliation_strings":["London Knowledge Lab, Institute of Education, University of London, 23-29 Emerald Street, London, WC1N 3QS, England, UK","London Knowledge Lab, Institute of Education, University of London, London, England, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"London Knowledge Lab, Institute of Education, University of London, 23-29 Emerald Street, London, WC1N 3QS, England, UK","institution_ids":["https://openalex.org/I124357947"]},{"raw_affiliation_string":"London Knowledge Lab, Institute of Education, University of London, London, England, UK","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084296745"],"corresponding_institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"],"apc_list":null,"apc_paid":null,"fwci":2.1366,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.85138915,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"13","issue":"1","first_page":"47","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.7228480577468872},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6893438100814819},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5786228179931641},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5283516049385071},{"id":"https://openalex.org/keywords/science-education","display_name":"Science education","score":0.5247031450271606},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.5242434144020081},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5002603530883789},{"id":"https://openalex.org/keywords/articulation","display_name":"Articulation (sociology)","score":0.47194427251815796},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4215313792228699},{"id":"https://openalex.org/keywords/moderation","display_name":"Moderation","score":0.41522184014320374},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3936581611633301},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.3539741039276123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34378930926322937},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24904465675354004},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11144435405731201}],"concepts":[{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7228480577468872},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6893438100814819},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5786228179931641},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5283516049385071},{"id":"https://openalex.org/C44877443","wikidata":"https://www.wikidata.org/wiki/Q2485457","display_name":"Science education","level":2,"score":0.5247031450271606},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5242434144020081},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5002603530883789},{"id":"https://openalex.org/C2779337067","wikidata":"https://www.wikidata.org/wiki/Q4800961","display_name":"Articulation (sociology)","level":3,"score":0.47194427251815796},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4215313792228699},{"id":"https://openalex.org/C93225998","wikidata":"https://www.wikidata.org/wiki/Q1941972","display_name":"Moderation","level":2,"score":0.41522184014320374},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3936581611633301},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3539741039276123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34378930926322937},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24904465675354004},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11144435405731201},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10758-008-9127-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10758-008-9127-5","pdf_url":null,"source":{"id":"https://openalex.org/S174140584","display_name":"International Journal of Computers for Mathematical Learning","issn_l":"1382-3892","issn":["1382-3892","1573-1766"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computers for Mathematical Learning","raw_type":"journal-article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1548680","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1548680/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   International Journal of Computers for Mathematical Learning , 13  (1)   pp. 47-70.   (2008)      ","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7699999809265137,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W15798443","https://openalex.org/W54868042","https://openalex.org/W62187108","https://openalex.org/W184743997","https://openalex.org/W190374376","https://openalex.org/W219092171","https://openalex.org/W255338189","https://openalex.org/W630271445","https://openalex.org/W1485040232","https://openalex.org/W1497733606","https://openalex.org/W1503263467","https://openalex.org/W1510903205","https://openalex.org/W1548074571","https://openalex.org/W1552227949","https://openalex.org/W1558437174","https://openalex.org/W1577290313","https://openalex.org/W1591179744","https://openalex.org/W1777119744","https://openalex.org/W1815090327","https://openalex.org/W1868891640","https://openalex.org/W1974711434","https://openalex.org/W1980510330","https://openalex.org/W1998146115","https://openalex.org/W2003185116","https://openalex.org/W2024396197","https://openalex.org/W2026499792","https://openalex.org/W2047799858","https://openalex.org/W2053579597","https://openalex.org/W2060794689","https://openalex.org/W2065429829","https://openalex.org/W2069787050","https://openalex.org/W2073024432","https://openalex.org/W2073704760","https://openalex.org/W2074129345","https://openalex.org/W2124046266","https://openalex.org/W2141105206","https://openalex.org/W2520328149","https://openalex.org/W2803673462","https://openalex.org/W3080974869","https://openalex.org/W4224280938","https://openalex.org/W4244083114","https://openalex.org/W4246917149","https://openalex.org/W4249468442","https://openalex.org/W4251421847","https://openalex.org/W4298218964","https://openalex.org/W4300948737","https://openalex.org/W4317564508","https://openalex.org/W6649634919","https://openalex.org/W6678379230","https://openalex.org/W6835275861","https://openalex.org/W7044164732","https://openalex.org/W7055843753"],"related_works":["https://openalex.org/W1913246355","https://openalex.org/W3142496236","https://openalex.org/W2763366043","https://openalex.org/W2062678786","https://openalex.org/W2054007223","https://openalex.org/W4235813103","https://openalex.org/W1991720691","https://openalex.org/W27249715","https://openalex.org/W2320787570","https://openalex.org/W2360475738"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
