{"id":"https://openalex.org/W4401977684","doi":"https://doi.org/10.3389/fpsyg.2024.1380036","title":"From developmental theory to effective training: long-term and transfer effects of promoting the quantity\u2013to\u2013number word linkage in first-graders at risk for mathematical difficulties","display_name":"From developmental theory to effective training: long-term and transfer effects of promoting the quantity\u2013to\u2013number word linkage in first-graders at risk for mathematical difficulties","publication_year":2024,"publication_date":"2024-08-20","ids":{"openalex":"https://openalex.org/W4401977684","doi":"https://doi.org/10.3389/fpsyg.2024.1380036","pmid":"https://pubmed.ncbi.nlm.nih.gov/39228869","pmcid":"https://www.ncbi.nlm.nih.gov/pmc/articles/11368870"},"language":"en","primary_location":{"id":"doi:10.3389/fpsyg.2024.1380036","doi":"https://doi.org/10.3389/fpsyg.2024.1380036","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fpsyg.2024.1380036","pdf_url":"https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2024.1380036/pdf","source":{"id":"https://openalex.org/S9692511","display_name":"Frontiers in Psychology","issn_l":"1664-1078","issn":["1664-1078"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","erih-plus","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Psychology","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2024.1380036/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090501012","display_name":"Marco Ennemoser","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I32592955","display_name":"Ludwigsburg University of Education","ror":"https://ror.org/02j0n6s98","country_code":"DE","type":"education","lineage":["https://openalex.org/I32592955"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Marco Ennemoser","raw_affiliation_strings":["Faculty of Participation Science, University of Education Ludwigsburg, Ludwigsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Participation Science, University of Education Ludwigsburg, Ludwigsburg, Germany","institution_ids":["https://openalex.org/I32592955"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089700826","display_name":"Daniel Sinner","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I200763008","display_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","ror":"https://ror.org/033eqas34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200763008"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Daniel Sinner","raw_affiliation_strings":["Institute for Psychology, Justus Liebig University Gie\u00dfen, Giessen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Psychology, Justus Liebig University Gie\u00dfen, Giessen, Germany","institution_ids":["https://openalex.org/I200763008"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001285985","display_name":"Linda Nguyen","orcid":"https://orcid.org/0009-0006-1783-5938","observed_orcids":["https://orcid.org/0009-0006-1783-5938"]},"institutions":[{"id":"https://openalex.org/I32592955","display_name":"Ludwigsburg University of Education","ror":"https://ror.org/02j0n6s98","country_code":"DE","type":"education","lineage":["https://openalex.org/I32592955"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Linda Nguyen","raw_affiliation_strings":["Faculty of Participation Science, University of Education Ludwigsburg, Ludwigsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Participation Science, University of Education Ludwigsburg, Ludwigsburg, Germany","institution_ids":["https://openalex.org/I32592955"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035669483","display_name":"Kristin Krajewski","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I32592955","display_name":"Ludwigsburg University of Education","ror":"https://ror.org/02j0n6s98","country_code":"DE","type":"education","lineage":["https://openalex.org/I32592955"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kristin Krajewski","raw_affiliation_strings":["Institute for Psychology, University of Education Ludwigsburg, Ludwigsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Psychology, University of Education Ludwigsburg, Ludwigsburg, Germany","institution_ids":["https://openalex.org/I32592955"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090501012"],"corresponding_institution_ids":["https://openalex.org/I32592955"],"apc_list":{"value":3295,"currency":"USD","value_usd":3295},"apc_paid":{"value":3295,"currency":"USD","value_usd":3295},"fwci":2.2547,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.88280914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"15","issue":null,"first_page":"1380036","last_page":"1380036"},"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":1.0,"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":1.0,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.0,"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.0,"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/mathematics-learning-difficulties","display_name":"mathematics learning difficulties","score":0.7289999723434448},{"id":"https://openalex.org/keywords/at-risk-children","display_name":"vulnerable children","score":0.7310000061988831},{"id":"https://openalex.org/keywords/long-term-intervention-effects","display_name":"long-term intervention effects","score":0.8100000023841858},{"id":"https://openalex.org/keywords/first-grade-students","display_name":"first grade students","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.8058911561965942},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.659878134727478},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.5713132619857788},{"id":"https://openalex.org/C31266012","wikidata":"https://www.wikidata.org/wiki/Q6554340","display_name":"Linkage (software)","level":3,"score":0.5332344174385071},{"id":"https://openalex.org/C2777938197","wikidata":"https://www.wikidata.org/wiki/Q7834022","display_name":"Transfer of training","level":2,"score":0.5020303726196289},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.4822262227535248},{"id":"https://openalex.org/C138496976","wikidata":"https://www.wikidata.org/wiki/Q175002","display_name":"Developmental psychology","level":1,"score":0.46532365679740906},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.28147774934768677},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3389/fpsyg.2024.1380036","doi":"https://doi.org/10.3389/fpsyg.2024.1380036","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fpsyg.2024.1380036","pdf_url":"https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2024.1380036/pdf","source":{"id":"https://openalex.org/S9692511","display_name":"Frontiers in Psychology","issn_l":"1664-1078","issn":["1664-1078"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","erih-plus","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Psychology","raw_type":"journal-article"},{"id":"pmh:oai:pubmedcentral.nih.gov:11368870","doi":null,"is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11368870","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11368870/pdf/fpsyg-15-1380036.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Front Psychol","raw_type":"Text"},{"id":"pmid:39228869","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39228869","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in psychology","raw_type":"Journal Article"},{"id":"pmh:oai:doaj.org/article:923a5ee8fef14b979e15a7d25450b6b2","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/923a5ee8fef14b979e15a7d25450b6b2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"Frontiers in Psychology, Vol 15 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3389/fpsyg.2024.1380036","doi":"https://doi.org/10.3389/fpsyg.2024.1380036","is_oa":true,"landing_page_url":"https://doi.org/10.3389/fpsyg.2024.1380036","pdf_url":"https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2024.1380036/pdf","source":{"id":"https://openalex.org/S9692511","display_name":"Frontiers in Psychology","issn_l":"1664-1078","issn":["1664-1078"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","erih-plus","jufo-1","ki-jl-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Psychology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Quality education","score":0.9235000014305115,"id":"https://metadata.un.org/sdg/4"},{"display_name":"Good health and well-being","score":0.5683000087738037,"id":"https://metadata.un.org/sdg/3"}],"study_designs":[{"display_name":"Clinical Trial","id":"https://openalex.org/study-designs/clinical-trial"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401977684.pdf","grobid_xml":"https://content.openalex.org/works/W4401977684.grobid-xml"},"referenced_works_count":79,"referenced_works":["https://openalex.org/W16856336","https://openalex.org/W240302486","https://openalex.org/W562127744","https://openalex.org/W1560635040","https://openalex.org/W1592263067","https://openalex.org/W1732736211","https://openalex.org/W1738097990","https://openalex.org/W1811401945","https://openalex.org/W1967453075","https://openalex.org/W1968672740","https://openalex.org/W1971849986","https://openalex.org/W1976868375","https://openalex.org/W1980546639","https://openalex.org/W1991152927","https://openalex.org/W1992814964","https://openalex.org/W1998813614","https://openalex.org/W2000885037","https://openalex.org/W2009862599","https://openalex.org/W2011538811","https://openalex.org/W2017082119","https://openalex.org/W2029446148","https://openalex.org/W2036671961","https://openalex.org/W2036992431","https://openalex.org/W2047363189","https://openalex.org/W2051073825","https://openalex.org/W2052191659","https://openalex.org/W2055754709","https://openalex.org/W2056819816","https://openalex.org/W2072942032","https://openalex.org/W2075953930","https://openalex.org/W2078490820","https://openalex.org/W2083460281","https://openalex.org/W2084560294","https://openalex.org/W2086947226","https://openalex.org/W2087913549","https://openalex.org/W2089044085","https://openalex.org/W2091009702","https://openalex.org/W2094133148","https://openalex.org/W2095331993","https://openalex.org/W2097058229","https://openalex.org/W2099894028","https://openalex.org/W2100762683","https://openalex.org/W2112146495","https://openalex.org/W2112274743","https://openalex.org/W2120590922","https://openalex.org/W2124043744","https://openalex.org/W2126348271","https://openalex.org/W2141778718","https://openalex.org/W2143514677","https://openalex.org/W2148048562","https://openalex.org/W2148721383","https://openalex.org/W2150156472","https://openalex.org/W2169361369","https://openalex.org/W2170395745","https://openalex.org/W2198130504","https://openalex.org/W2311553359","https://openalex.org/W2312953214","https://openalex.org/W2341035412","https://openalex.org/W2563983813","https://openalex.org/W2606342009","https://openalex.org/W2743011439","https://openalex.org/W2803481550","https://openalex.org/W2890373521","https://openalex.org/W2940189535","https://openalex.org/W2946583416","https://openalex.org/W2969444085","https://openalex.org/W2971009442","https://openalex.org/W3094720344","https://openalex.org/W3127795176","https://openalex.org/W3177287355","https://openalex.org/W4210405283","https://openalex.org/W4234154442","https://openalex.org/W4241790672","https://openalex.org/W4311247560","https://openalex.org/W4313590829","https://openalex.org/W4321484655","https://openalex.org/W4389732304","https://openalex.org/W4390278431","https://openalex.org/W6999647358"],"related_works":["https://openalex.org/W7057526310","https://openalex.org/W2087913549","https://openalex.org/W1998813614","https://openalex.org/W2141670602","https://openalex.org/W2089044085","https://openalex.org/W4206269756","https://openalex.org/W2895405423","https://openalex.org/W2126348271","https://openalex.org/W3162151650","https://openalex.org/W3130321929"],"abstract_inverted_index":{"Introduction":[0],"The":[1],"model":[2,115],"of":[3,15,29,45,59,81,104,116,133,139,163,220,245,274,289],"quantity\u2013to\u2013number":[4],"word":[5],"linkage":[6],"(QNL":[7],"model)":[8],"identifies":[9],"relevant":[10],"milestones":[11],"in":[12,33,79,121,171,197],"the":[13,27,42,46,52,56,100,113,130,164,198,221,234,271,286,290],"process":[14],"early":[16],"numerical":[17],"acquisition":[18],"and":[19,136,187,248],"describes":[20],"a":[21,179,243],"developmental":[22,281],"sequence":[23],"that":[24,108,276],"can":[25],"guide":[26],"fostering":[28],"foundational":[30],"mathematical":[31,84,117,146,210,225],"abilities":[32],"at-risk":[34],"children.":[35],"While":[36],"there":[37],"is":[38,64,109],"substantial":[39],"evidence":[40,54],"for":[41,145],"predictive":[43],"value":[44],"quantity-number":[47,131],"competencies":[48,132,202],"(QNC)":[49],"described":[50],"by":[51,98,280],"model,":[53],"supporting":[55],"preventive":[57,76,272],"potential":[58,273],"interventions":[60,275],"targeting":[61],"these":[62],"QNC":[63],"so":[65],"far":[66],"largely":[67],"restricted":[68],"to":[69,83,94,153,239,263],"short-term":[70],"effects.":[71],"Findings":[72],"regarding":[73],"their":[74],"long-term":[75,101,195],"impact,":[77],"especially":[78],"terms":[80],"transfer":[82,102,206,218],"school":[85,211,226],"achievement,":[86],"are":[87,277],"still":[88],"limited.":[89],"This":[90],"quasi-experimental":[91],"study":[92],"aimed":[93],"address":[95],"this":[96],"gap":[97],"evaluating":[99],"effects":[103,196,207,219],"an":[105],"intervention":[106,235],"program":[107],"strictly":[110,278],"derived":[111],"from":[112,259],"QNL":[114,165,222,291],"development":[118],"[QNL":[119],"training;":[120],"German":[122],"\u201cMengen,":[123],"z\u00e4hlen,":[124],"Zahlen\u201d":[125],"(MZZ)].":[126],"Methods":[127],"We":[128],"assessed":[129],"575":[134],"first-graders":[135],"identified":[137],"119":[138],"them":[140],"as":[141,178,203,205],"being":[142],"at":[143],"risk":[144],"learning":[147],"difficulties,":[148],"who":[149],"were":[150,228],"then":[151],"assigned":[152],"three":[154],"experimental":[155],"conditions.":[156],"Sixty":[157],"one":[158],"children":[159,176],"received":[160],"12":[161],"sessions":[162],"training,":[166],"while":[167],"30":[168],"underwent":[169],"training":[170,223],"inductive":[172],"reasoning.":[173],"Another":[174],"28":[175],"served":[177],"control":[180],"group,":[181],"receiving":[182],"no":[183],"specific":[184],"intervention.":[185],"Results":[186],"Discussion":[188],"Multi-level":[189],"analyses":[190],"confirmed":[191],"both":[192,269],"significant":[193,241],"short-and":[194],"specifically":[199],"trained":[200],"quantity\u2013number":[201],"well":[204],"on":[208,224],"subsequent":[209],"achievement.":[212],"In":[213],"accordance":[214],"with":[215],"previous":[216],"findings,":[217],"achievement":[227],"not":[229],"yet":[230],"evident":[231],"immediately":[232],"after":[233,242,254],"but":[236],"turned":[237],"out":[238],"be":[240],"delay":[244],"6":[246],"months":[247,253],"remained":[249],"stable":[250],"even":[251],"15":[252],"training.":[255],"Effect":[256],"sizes":[257],"ranged":[258],"d":[260,264],"=":[261,265],"0.32":[262],"1.12.":[266],"These":[267],"findings":[268],"underscore":[270],"driven":[279],"theory":[282],"and,":[283],"conversely,":[284],"support":[285],"theoretical":[287],"assumptions":[288],"model.":[292]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2024-08-29T00:00:00"}