{"id":"https://openalex.org/W7148472077","doi":"https://doi.org/10.48550/arxiv.2604.00818","title":"Misconception Acquisition Dynamics in Large Language Models","display_name":"Misconception Acquisition Dynamics in Large Language Models","publication_year":2026,"publication_date":"2026-04-01","ids":{"openalex":"https://openalex.org/W7148472077","doi":"https://doi.org/10.48550/arxiv.2604.00818"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.00818","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.00818","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.00818","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5132812200","display_name":"Naiming Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Naiming","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132827603","display_name":"Xinghe Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Xinghe","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132789005","display_name":"Richard Baraniuk","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baraniuk, Richard","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132808511","display_name":"Mrinmaya Sachan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sachan, Mrinmaya","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5028809416","display_name":"Shashank Sonkar","orcid":"https://orcid.org/0000-0002-4409-1341"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sonkar, Shashank","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11902","display_name":"Intelligent Tutoring Systems and Adaptive Learning","score":0.7373999953269958,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11902","display_name":"Intelligent Tutoring Systems and Adaptive Learning","score":0.7373999953269958,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10028","display_name":"Topic Modeling","score":0.07129999995231628,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.038600001484155655,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tutor","display_name":"TUTOR","score":0.8309000134468079},{"id":"https://openalex.org/keywords/knowledge-acquisition","display_name":"Knowledge acquisition","score":0.3675999939441681},{"id":"https://openalex.org/keywords/dreyfus-model-of-skill-acquisition","display_name":"Dreyfus model of skill acquisition","score":0.3343000113964081},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.33390000462532043},{"id":"https://openalex.org/keywords/data-collection","display_name":"Data collection","score":0.31529998779296875}],"concepts":[{"id":"https://openalex.org/C2778371403","wikidata":"https://www.wikidata.org/wiki/Q7672049","display_name":"TUTOR","level":2,"score":0.8309000134468079},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7121999859809875},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46369999647140503},{"id":"https://openalex.org/C2777220311","wikidata":"https://www.wikidata.org/wiki/Q6423340","display_name":"Knowledge acquisition","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3619999885559082},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.34450000524520874},{"id":"https://openalex.org/C132758656","wikidata":"https://www.wikidata.org/wiki/Q5307365","display_name":"Dreyfus model of skill acquisition","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.33390000462532043},{"id":"https://openalex.org/C133462117","wikidata":"https://www.wikidata.org/wiki/Q4929239","display_name":"Data collection","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C51632099","wikidata":"https://www.wikidata.org/wiki/Q3985153","display_name":"Training set","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.30329999327659607},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.27649998664855957},{"id":"https://openalex.org/C2777211547","wikidata":"https://www.wikidata.org/wiki/Q17141490","display_name":"Training (meteorology)","level":2,"score":0.2565000057220459}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.00818","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.00818","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.00818","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.00818","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.8626929521560669}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Effective":[0],"educational":[1],"AI":[2],"depends":[3],"on":[4,23,82],"modeling":[5,39],"student":[6,24,129,142,206],"misconceptions.":[7],"Such":[8],"models":[9,22,195],"enable":[10],"realistic":[11],"learner":[12,50],"simulation":[13,51],"and":[14,40,52,75,117,130,234],"diagnostic,":[15],"adaptive":[16],"tutoring.":[17],"However,":[18],"instruction-tuning":[19],"large":[20],"language":[21],"responses":[25],"containing":[26],"misconception":[27,38,69,98,137,146,229],"errors":[28],"can":[29,175],"degrade":[30],"reasoning":[31,43,186],"abilities,":[32],"creating":[33],"a":[34,67,90,107,144,151],"tension":[35],"between":[36],"faithful":[37],"preserving":[41,241],"correct":[42,114,165,242],"in":[44],"other":[45],"contexts.":[46],"To":[47,95],"support":[48],"both":[49,102],"tutoring,":[53],"we":[54,104],"study":[55,96],"two":[56],"misconception-aware":[57,238],"models:":[58],"the":[59,76,87,97,128,131,141,172,189,201,205,209],"Novice":[60],"Student":[61],"Misconception":[62,79],"Model,":[63,80],"trained":[64,81],"to":[65,85,167],"acquire":[66],"single":[68,145],"for":[70,236],"simulating":[71],"an":[72,225],"individual":[73],"student,":[74],"Expert":[77],"Tutor":[78],"multiple":[83,177],"misconceptions":[84,178,213],"capture":[86],"error":[88,199],"patterns":[89],"tutor":[91,132,173,210],"encounters":[92],"across":[93,123,157],"students.":[94],"acquisition":[99,138,230],"dynamics":[100],"of":[101,215,228],"models,":[103],"develop":[105],"MalAlgoLib,":[106,223],"library":[108],"that":[109,127],"generates":[110],"algebra":[111],"problems":[112],"with":[113],"solution":[115],"traces":[116],"misconception-specific":[118],"erroneous":[119],"traces.":[120],"Our":[121],"experiments":[122],"three":[124],"LLMs":[125,239],"reveal":[126],"model":[133,174,207,211],"exhibit":[134],"fundamentally":[135],"different":[136],"dynamics.":[139],"For":[140],"model,":[143],"is":[147],"not":[148],"learned":[149],"as":[150],"context-specific":[152],"behavior.":[153],"Models":[154],"overapply":[155],"it":[156],"problems,":[158],"degrading":[159],"correct-solving":[160,182],"accuracy":[161],"unless":[162],"training":[163,237],"includes":[164],"examples":[166],"enforce":[168],"boundaries.":[169],"In":[170],"contrast,":[171],"learn":[176,197],"jointly":[179],"without":[180],"sacrificing":[181],"accuracy.":[183],"Critically,":[184],"intermediate":[185],"steps":[187],"are":[188],"bottleneck.":[190],"With":[191],"final-answer":[192],"supervision":[193],"alone,":[194],"cannot":[196],"where":[198],"enters":[200],"solution,":[202],"so":[203],"neither":[204],"nor":[208],"acquires":[212],"regardless":[214],"data":[216],"size.":[217],"Together,":[218],"these":[219],"results,":[220],"enabled":[221],"by":[222],"provide":[224],"interpretable":[226],"account":[227],"under":[231],"instruction":[232],"tuning":[233],"guidance":[235],"while":[240],"reasoning.":[243]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-04-03T00:00:00"}