{"id":"https://openalex.org/W2024945186","doi":"https://doi.org/10.1007/s10649-011-9351-0","title":"Special education students\u2019 use of indirect addition in solving subtraction problems up to 100\u2014A proof of the didactical potential of an ignored procedure","display_name":"Special education students\u2019 use of indirect addition in solving subtraction problems up to 100\u2014A proof of the didactical potential of an ignored procedure","publication_year":2011,"publication_date":"2011-09-03","ids":{"openalex":"https://openalex.org/W2024945186","doi":"https://doi.org/10.1007/s10649-011-9351-0","mag":"2024945186"},"language":"en","primary_location":{"id":"doi:10.1007/s10649-011-9351-0","doi":"https://doi.org/10.1007/s10649-011-9351-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10649-011-9351-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10649-011-9351-0.pdf","source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10649-011-9351-0.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036591939","display_name":"Marjolijn Peltenburg","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Marjolijn Peltenburg","raw_affiliation_strings":["Freudenthal Institute for Science and Mathematics Education, Utrecht University, PO Box 85170, 3508 AD, Utrecht, the Netherlands","Freudenthal Institute for Science and Mathematics Education, Utrecht University Utrecht the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Freudenthal Institute for Science and Mathematics Education, Utrecht University, PO Box 85170, 3508 AD, Utrecht, the Netherlands","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Freudenthal Institute for Science and Mathematics Education, Utrecht University Utrecht the Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072551558","display_name":"Marja van den Heuvel\u2010Panhuizen","orcid":"https://orcid.org/0000-0002-3985-7576","observed_orcids":["https://orcid.org/0000-0002-3985-7576"]},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Marja van den Heuvel-Panhuizen","raw_affiliation_strings":["Freudenthal Institute for Science and Mathematics Education, Utrecht University, PO Box 85170, 3508 AD, Utrecht, the Netherlands","Freudenthal Institute for Science and Mathematics Education, Utrecht University Utrecht the Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Freudenthal Institute for Science and Mathematics Education, Utrecht University, PO Box 85170, 3508 AD, Utrecht, the Netherlands","institution_ids":["https://openalex.org/I193662353"]},{"raw_affiliation_string":"Freudenthal Institute for Science and Mathematics Education, Utrecht University Utrecht the Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048904991","display_name":"Alexander Robitzsch","orcid":"https://orcid.org/0000-0002-8226-3132","observed_orcids":["https://orcid.org/0000-0002-8226-3132"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander Robitzsch","raw_affiliation_strings":["Federal Institute for Education Research, Innovation and Development of the Austrian School System, Salzburg, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal Institute for Education Research, Innovation and Development of the Austrian School System, Salzburg, Austria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036591939"],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":{"value":3390,"currency":"USD","value_usd":3390},"fwci":2.4771,"has_fulltext":true,"cited_by_count":43,"citation_normalized_percentile":{"value":0.89980032,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"79","issue":"3","first_page":"351","last_page":"369"},"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":0.8438000082969666,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.8438000082969666,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.147599995136261,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.007300000172108412,"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/two-digit-subtraction","display_name":"two-digit subtraction","score":0.8999999761581421},{"id":"https://openalex.org/keywords/special-education-students","display_name":"special education students","score":0.9190000295639038},{"id":"https://openalex.org/keywords/arithmetic-problem-solving","display_name":"arithmetic problem solving","score":0.5389999747276306},{"id":"https://openalex.org/keywords/item-characteristics","display_name":"item characteristics","score":0.47200000286102295},{"id":"https://openalex.org/keywords/math-word-problems","display_name":"mathematical word problems","score":0.328000009059906},{"id":"https://openalex.org/keywords/primary-school-mathematics","display_name":"primary school mathematics","score":0.40700000524520874}],"concepts":[{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.9149519801139832},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6928080320358276},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5995288491249084},{"id":"https://openalex.org/C88610354","wikidata":"https://www.wikidata.org/wiki/Q1813494","display_name":"Teaching method","level":2,"score":0.4295244812965393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4274718761444092},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3816538453102112},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.29997801780700684},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10649-011-9351-0","doi":"https://doi.org/10.1007/s10649-011-9351-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10649-011-9351-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10649-011-9351-0.pdf","source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","raw_type":"journal-article"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/272643","doi":null,"is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/272643","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Educational Studies in Mathematics, 79(3), 351. Springer Netherlands","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10649-011-9351-0","doi":"https://doi.org/10.1007/s10649-011-9351-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10649-011-9351-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10649-011-9351-0.pdf","source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"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":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.975600004196167}],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.8199999928474426}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2024945186.pdf","grobid_xml":"https://content.openalex.org/works/W2024945186.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W136180045","https://openalex.org/W186080570","https://openalex.org/W656452960","https://openalex.org/W1517555081","https://openalex.org/W1523537662","https://openalex.org/W1553291901","https://openalex.org/W1588547043","https://openalex.org/W1950067960","https://openalex.org/W1968736026","https://openalex.org/W1996057931","https://openalex.org/W1999052699","https://openalex.org/W2013450507","https://openalex.org/W2038100309","https://openalex.org/W2044639319","https://openalex.org/W2061705209","https://openalex.org/W2078888231","https://openalex.org/W2100096965","https://openalex.org/W2102300114","https://openalex.org/W2104139379","https://openalex.org/W2143893364","https://openalex.org/W2336872901","https://openalex.org/W2482809551","https://openalex.org/W2521465545","https://openalex.org/W2555627378","https://openalex.org/W2623264122","https://openalex.org/W2803938814","https://openalex.org/W2970219176","https://openalex.org/W4239606458","https://openalex.org/W7035971232"],"related_works":["https://openalex.org/W2761970336","https://openalex.org/W2217463823","https://openalex.org/W4310024312","https://openalex.org/W18186961","https://openalex.org/W342986969","https://openalex.org/W4362473794","https://openalex.org/W2075287749","https://openalex.org/W321050180","https://openalex.org/W14893772","https://openalex.org/W2064818431"],"abstract_inverted_index":{"In":[0],"this":[1,67],"study,":[2],"we":[3],"examined":[4],"special":[5,121],"education":[6,122],"students\u2019":[7],"use":[8,104],"of":[9,30,49,105,128],"indirect":[10,58,79,107,111],"addition":[11,59,108,112],"(subtraction":[12],"by":[13],"adding":[14],"on)":[15],"for":[16,60,77,120],"solving":[17,61],"two-digit":[18],"subtraction":[19,45,62],"problems.":[20,50],"Fifty-six":[21],"students":[22,53],"(8-":[23],"to":[24],"12-year-olds),":[25],"with":[26,46,136],"a":[27,41,92,116,129,137],"mathematical":[28],"level":[29],"end":[31],"grade":[32],"2,":[33],"participated":[34],"in":[35,134],"the":[36,74,96,103,106,125],"study.":[37],"They":[38],"were":[39,73],"given":[40],"computer-based":[42],"test":[43],"on":[44],"different":[47],"types":[48],"Although":[51],"most":[52,100],"had":[54],"not":[55],"been":[56],"taught":[57],"problems,":[63],"they":[64],"frequently":[65],"applied":[66],"procedure":[68,119],"spontaneously.":[69],"The":[70],"item":[71],"characteristics":[72],"main":[75],"prompt":[76],"using":[78],"addition.":[80],"Context":[81],"problems":[82,89],"that":[83,90],"reflect":[84],"an":[85],"adding-on":[86],"situation":[87],"and":[88,98,124],"have":[91],"small":[93],"difference":[94],"between":[95],"minuend":[97],"subtrahend":[99],"strongly":[101],"elicited":[102],"procedure.":[109],"Moreover,":[110],"was":[113,132],"identified":[114],"as":[115],"highly":[117],"successful":[118],"students,":[123],"best":[126],"predictor":[127],"correct":[130],"answer":[131],"found":[133],"combination":[135],"stringing":[138],"strategy.":[139]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-20T09:52:01.089006","created_date":"2016-06-24T00:00:00"}