{"id":"https://openalex.org/W2005261728","doi":"https://doi.org/10.1080/1049482980050113","title":"Representation and Process in Learning Environments for Mathematics: A Commentary on Three Systems","display_name":"Representation and Process in Learning Environments for Mathematics: A Commentary on Three Systems","publication_year":1998,"publication_date":"1998-03-01","ids":{"openalex":"https://openalex.org/W2005261728","doi":"https://doi.org/10.1080/1049482980050113","mag":"2005261728"},"language":"en","primary_location":{"id":"doi:10.1080/1049482980050113","is_oa":false,"landing_page_url":"https://doi.org/10.1080/1049482980050113","pdf_url":null,"source":{"id":"https://openalex.org/S90466346","display_name":"Interactive Learning Environments","issn_l":"1049-4820","issn":["1049-4820","1744-5191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Interactive Learning Environments","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/A5076487366","display_name":"Stellan Ohlsson","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Stellan Ohlsson","raw_affiliation_strings":["a  University of Illinois at Chicago,  Department of Psychology (M/C 285)  , 1007 West Harrison Street, Chicago, IL 60607\u20107138; Phone:    Fax:    E-mail:"],"affiliations":[{"raw_affiliation_string":"a  University of Illinois at Chicago,  Department of Psychology (M/C 285)  , 1007 West Harrison Street, Chicago, IL 60607\u20107138; Phone:    Fax:    E-mail:","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076487366"],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.16391258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":"1","first_page":"205","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10636","display_name":"Innovative Teaching and Learning Methods","score":0.9930999875068665,"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/T10636","display_name":"Innovative Teaching and Learning Methods","score":0.9930999875068665,"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":0.9847000241279602,"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/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.9817000031471252,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6915459632873535},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.6312549114227295},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6284477114677429},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.5286954641342163},{"id":"https://openalex.org/keywords/cognition","display_name":"Cognition","score":0.5172810554504395},{"id":"https://openalex.org/keywords/strengths-and-weaknesses","display_name":"Strengths and weaknesses","score":0.4858679175376892},{"id":"https://openalex.org/keywords/thinking-processes","display_name":"Thinking processes","score":0.41920602321624756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22994142770767212},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.15320467948913574},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12640351057052612}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6915459632873535},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.6312549114227295},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6284477114677429},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5286954641342163},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.5172810554504395},{"id":"https://openalex.org/C63882131","wikidata":"https://www.wikidata.org/wiki/Q17122954","display_name":"Strengths and weaknesses","level":2,"score":0.4858679175376892},{"id":"https://openalex.org/C187179951","wikidata":"https://www.wikidata.org/wiki/Q7784616","display_name":"Thinking processes","level":3,"score":0.41920602321624756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22994142770767212},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.15320467948913574},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12640351057052612},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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/C2779765252","wikidata":"https://www.wikidata.org/wiki/Q7604419","display_name":"Statistical thinking","level":2,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/1049482980050113","is_oa":false,"landing_page_url":"https://doi.org/10.1080/1049482980050113","pdf_url":null,"source":{"id":"https://openalex.org/S90466346","display_name":"Interactive Learning Environments","issn_l":"1049-4820","issn":["1049-4820","1744-5191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Interactive Learning Environments","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W626922200","https://openalex.org/W1524797422","https://openalex.org/W1606328991","https://openalex.org/W1708874574","https://openalex.org/W1708973389","https://openalex.org/W1950644452","https://openalex.org/W1979890010","https://openalex.org/W2016805415","https://openalex.org/W2041201199","https://openalex.org/W2047329680","https://openalex.org/W2069481574","https://openalex.org/W2135625345","https://openalex.org/W2162792036","https://openalex.org/W2492307298","https://openalex.org/W2798445359","https://openalex.org/W2972003036","https://openalex.org/W4229900455","https://openalex.org/W4254695732"],"related_works":["https://openalex.org/W4295769391","https://openalex.org/W2972220648","https://openalex.org/W2332667808","https://openalex.org/W1997921863","https://openalex.org/W3112960490","https://openalex.org/W2344144656","https://openalex.org/W2385923795","https://openalex.org/W2387299722","https://openalex.org/W2362175584","https://openalex.org/W2369506007"],"abstract_inverted_index":{"Three":[0],"computer\u2010based":[1],"systems":[2,11,70,92],"for":[3,39,89],"teaching":[4],"arithmetic":[5],"and":[6,55,73,80,111],"algebra":[7],"are":[8,71,83,93],"discussed.":[9],"The":[10,97],"embody":[12],"several":[13],"pedagogical":[14],"tactics:":[15],"To":[16],"provide":[17,43],"students":[18,36,44],"with":[19,45],"augmented":[20],"repre\u2010sentations":[21],"that":[22,100],"reveal":[23],"the":[24,49,60,64,68,91],"structure":[25],"of":[26,51,63,113],"problem":[27],"solutions;":[28],"to":[29,42,56,59],"make":[30],"mathematical":[31,53],"symbols":[32],"meaningful":[33],"by":[34],"giving":[35],"concrete":[37],"referents":[38],"those":[40],"symbols;":[41],"enriched":[46],"feedback":[47],"about":[48],"consequences":[50],"their":[52],"operations;":[54],"adapt":[57],"instruction":[58],"cognitive":[61],"processes":[62],"students.":[65],"Weaknesses":[66],"in":[67],"three":[69],"discussed":[72,116],"two":[74],"general":[75],"problems,":[76],"called":[77],"complexity":[78],"trade\u2010off":[79],"scaffold":[81],"removal,":[82],"put":[84],"forward":[85],"as":[86],"possible":[87],"explanations":[88],"why":[90],"not":[94],"more":[95],"effective.":[96],"alternative":[98],"view":[99],"mathematics":[101],"is":[102,109],"difficult":[103],"because":[104],"it":[105],"requires":[106],"abstract":[107],"thinking":[108],"outlined":[110],"some":[112],"its":[114],"implications":[115],"briefly.":[117]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
