{"id":"https://openalex.org/W2062298284","doi":"https://doi.org/10.1016/j.learninstruc.2013.05.003","title":"The natural number bias and magnitude representation in fraction comparison by expert mathematicians","display_name":"The natural number bias and magnitude representation in fraction comparison by expert mathematicians","publication_year":2013,"publication_date":"2013-06-26","ids":{"openalex":"https://openalex.org/W2062298284","doi":"https://doi.org/10.1016/j.learninstruc.2013.05.003","mag":"2062298284"},"language":"en","primary_location":{"id":"doi:10.1016/j.learninstruc.2013.05.003","doi":"https://doi.org/10.1016/j.learninstruc.2013.05.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.learninstruc.2013.05.003","pdf_url":null,"source":{"id":"https://openalex.org/S78398831","display_name":"Learning and Instruction","issn_l":"0959-4752","issn":["0959-4752","1873-3263"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","erih-plus","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Learning and Instruction","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2062298284"],"child_works_count":0,"type":"article","is_traditional":true,"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/A5045465637","display_name":"Andreas Obersteiner","orcid":"https://orcid.org/0000-0002-7945-5678","observed_orcids":["https://orcid.org/0000-0002-7945-5678"]},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]},{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE","DE"],"is_corresponding":true,"raw_author_name":"Andreas Obersteiner","raw_affiliation_strings":["Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium","Heinz Nixdorf-Stiftungslehrstuhl f\u00fcr Didaktik der Mathematik, TUM School of Education, Technische Universit\u00e4t M\u00fcnchen, Marsstr. 20\u201322, 80335 M\u00fcnchen, Germany1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Heinz Nixdorf-Stiftungslehrstuhl f\u00fcr Didaktik der Mathematik, TUM School of Education, Technische Universit\u00e4t M\u00fcnchen, Marsstr. 20\u201322, 80335 M\u00fcnchen, Germany1","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038934107","display_name":"Wim Van Dooren","orcid":"https://orcid.org/0000-0001-5002-4340","observed_orcids":["https://orcid.org/0000-0001-5002-4340"]},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Wim Van Dooren","raw_affiliation_strings":["Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090106138","display_name":"Jo Van Hoof","orcid":"https://orcid.org/0000-0003-4752-6221","observed_orcids":["https://orcid.org/0000-0003-4752-6221"]},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jo Van Hoof","raw_affiliation_strings":["Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030477185","display_name":"Lieven Verschaffel","orcid":"https://orcid.org/0000-0002-5283-6470","observed_orcids":["https://orcid.org/0000-0002-5283-6470"]},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Lieven Verschaffel","raw_affiliation_strings":["Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Instructional Psychology and Technology, Katholieke Universiteit Leuven, Dekenstraat 2, Box 3773, 3000 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045465637"],"corresponding_institution_ids":["https://openalex.org/I62916508","https://openalex.org/I99464096"],"apc_list":{"value":4580,"currency":"USD","value_usd":4580},"apc_paid":null,"fwci":20.9189,"has_fulltext":false,"cited_by_count":209,"citation_normalized_percentile":{"value":0.9949446,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"28","issue":null,"first_page":"64","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.8804000020027161,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.8804000020027161,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.07580000162124634,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.02070000022649765,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/natural-number-bias","display_name":"natural number bias","score":0.9810000061988831},{"id":"https://openalex.org/keywords/fraction-comparison","display_name":"fraction comparison","score":0.9070000052452087},{"id":"https://openalex.org/keywords/magnitude-representation","display_name":"magnitude representation","score":0.9259999990463257},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"mathematics education","score":0.8489999771118164}],"concepts":[{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.8341488838195801},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.673992395401001},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.6518754959106445},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5652356743812561},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.5597203969955444},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5341967940330505},{"id":"https://openalex.org/C96199812","wikidata":"https://www.wikidata.org/wiki/Q2145290","display_name":"Mental representation","level":3,"score":0.5161824822425842},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4840485453605652},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.43811601400375366},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.4379645884037018},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.4191969931125641},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.3778807520866394},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.357078492641449},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3519831597805023},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.3332052230834961},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.20202159881591797},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1958162486553192},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06961196660995483},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.learninstruc.2013.05.003","doi":"https://doi.org/10.1016/j.learninstruc.2013.05.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.learninstruc.2013.05.003","pdf_url":null,"source":{"id":"https://openalex.org/S78398831","display_name":"Learning and Instruction","issn_l":"0959-4752","issn":["0959-4752","1873-3263"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","erih-plus","jufo-3","ki-jl-1","norway-2","poland-200","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Learning and Instruction","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/404720","doi":null,"is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/404720","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Learning and Instruction, vol. 28, Art.No. C, (64-72)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W306830742","https://openalex.org/W1500112243","https://openalex.org/W1560136552","https://openalex.org/W1967128194","https://openalex.org/W1969420873","https://openalex.org/W1970706444","https://openalex.org/W1973019192","https://openalex.org/W1975320241","https://openalex.org/W1975798200","https://openalex.org/W1976930790","https://openalex.org/W1981780056","https://openalex.org/W1987358464","https://openalex.org/W1994342726","https://openalex.org/W2001569942","https://openalex.org/W2002749349","https://openalex.org/W2004248311","https://openalex.org/W2004286722","https://openalex.org/W2007822763","https://openalex.org/W2009036768","https://openalex.org/W2011367775","https://openalex.org/W2012309149","https://openalex.org/W2021912999","https://openalex.org/W2028485665","https://openalex.org/W2030070371","https://openalex.org/W2042321764","https://openalex.org/W2049988300","https://openalex.org/W2053805014","https://openalex.org/W2062261066","https://openalex.org/W2065598893","https://openalex.org/W2068256448","https://openalex.org/W2087406929","https://openalex.org/W2093406744","https://openalex.org/W2093632491","https://openalex.org/W2106173694","https://openalex.org/W2140219443","https://openalex.org/W2145816318","https://openalex.org/W2153200622","https://openalex.org/W2165219105","https://openalex.org/W2571950166","https://openalex.org/W2604846069","https://openalex.org/W2992198877","https://openalex.org/W3094188802","https://openalex.org/W4233321297"],"related_works":["https://openalex.org/W2518930446","https://openalex.org/W2525654225","https://openalex.org/W3011902337","https://openalex.org/W1969420873","https://openalex.org/W4409735007","https://openalex.org/W6982297932","https://openalex.org/W3030181755","https://openalex.org/W4309153379","https://openalex.org/W1762539832","https://openalex.org/W6986203089"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":24},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":20},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":12}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
