{"id":"https://openalex.org/W1964355255","doi":"https://doi.org/10.1080/14626269109408298","title":"From natural language to mathematical representations: A model of \u2018mathematical reading'","display_name":"From natural language to mathematical representations: A model of \u2018mathematical reading'","publication_year":1991,"publication_date":"1991-09-01","ids":{"openalex":"https://openalex.org/W1964355255","doi":"https://doi.org/10.1080/14626269109408298","mag":"1964355255"},"language":"en","primary_location":{"id":"doi:10.1080/14626269109408298","is_oa":false,"landing_page_url":"https://doi.org/10.1080/14626269109408298","pdf_url":null,"source":{"id":"https://openalex.org/S4210177400","display_name":"Intelligent Tutoring Media","issn_l":"0957-9133","issn":["0957-9133"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Tutoring Media","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/A5024296883","display_name":"Mark D. LeBlanc","orcid":null},"institutions":[{"id":"https://openalex.org/I161057412","display_name":"University of New Hampshire","ror":"https://ror.org/01rmh9n78","country_code":"US","type":"education","lineage":["https://openalex.org/I161057412"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark D. Leblanc","raw_affiliation_strings":["Department of Computer Science, University of New Hampshire, Durham, NH, 03824, USA","Department of Computer Science , University of New Hampshire , Durham, NH, 03824, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of New Hampshire, Durham, NH, 03824, USA","institution_ids":["https://openalex.org/I161057412"]},{"raw_affiliation_string":"Department of Computer Science , University of New Hampshire , Durham, NH, 03824, USA","institution_ids":["https://openalex.org/I161057412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024296883"],"corresponding_institution_ids":["https://openalex.org/I161057412"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.06803939,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":"3-4","first_page":"149","last_page":"158"},"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":0.9854999780654907,"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":0.9854999780654907,"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/T10103","display_name":"Reading and Literacy Development","score":0.9804999828338623,"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/T10636","display_name":"Innovative Teaching and Learning Methods","score":0.9742000102996826,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7058440446853638},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6150338649749756},{"id":"https://openalex.org/keywords/comprehension","display_name":"Comprehension","score":0.6147432327270508},{"id":"https://openalex.org/keywords/reading-comprehension","display_name":"Reading comprehension","score":0.5569573640823364},{"id":"https://openalex.org/keywords/reading","display_name":"Reading (process)","score":0.5369505882263184},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5092707872390747},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.4645393192768097},{"id":"https://openalex.org/keywords/natural-language-processing","display_name":"Natural language processing","score":0.45633643865585327},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4502352178096771},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.44409409165382385},{"id":"https://openalex.org/keywords/cognition","display_name":"Cognition","score":0.43512898683547974},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.41387686133384705},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.41270673274993896},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.34281301498413086},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.1416201889514923},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13363641500473022}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7058440446853638},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6150338649749756},{"id":"https://openalex.org/C511192102","wikidata":"https://www.wikidata.org/wiki/Q5156948","display_name":"Comprehension","level":2,"score":0.6147432327270508},{"id":"https://openalex.org/C2778780117","wikidata":"https://www.wikidata.org/wiki/Q3269423","display_name":"Reading comprehension","level":3,"score":0.5569573640823364},{"id":"https://openalex.org/C554936623","wikidata":"https://www.wikidata.org/wiki/Q199657","display_name":"Reading (process)","level":2,"score":0.5369505882263184},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5092707872390747},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.4645393192768097},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.45633643865585327},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4502352178096771},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.44409409165382385},{"id":"https://openalex.org/C169900460","wikidata":"https://www.wikidata.org/wiki/Q2200417","display_name":"Cognition","level":2,"score":0.43512898683547974},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.41387686133384705},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.41270673274993896},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.34281301498413086},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.1416201889514923},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13363641500473022},{"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/14626269109408298","is_oa":false,"landing_page_url":"https://doi.org/10.1080/14626269109408298","pdf_url":null,"source":{"id":"https://openalex.org/S4210177400","display_name":"Intelligent Tutoring Media","issn_l":"0957-9133","issn":["0957-9133"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Intelligent Tutoring Media","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.8999999761581421,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W86625825","https://openalex.org/W196561886","https://openalex.org/W562127744","https://openalex.org/W1524047387","https://openalex.org/W1550372748","https://openalex.org/W1551770093","https://openalex.org/W1584417732","https://openalex.org/W1589482818","https://openalex.org/W1594766937","https://openalex.org/W1964103056","https://openalex.org/W1968492392","https://openalex.org/W1969028368","https://openalex.org/W1973818300","https://openalex.org/W1974396537","https://openalex.org/W1978197216","https://openalex.org/W1980743563","https://openalex.org/W1984222945","https://openalex.org/W2009205065","https://openalex.org/W2009862599","https://openalex.org/W2012340809","https://openalex.org/W2014150911","https://openalex.org/W2046416673","https://openalex.org/W2059086756","https://openalex.org/W2074439000","https://openalex.org/W2077985991","https://openalex.org/W2082649321","https://openalex.org/W2083816042","https://openalex.org/W2087347456","https://openalex.org/W2089597321","https://openalex.org/W2090276685","https://openalex.org/W2090639711","https://openalex.org/W2092771413","https://openalex.org/W2107161351","https://openalex.org/W2119257516","https://openalex.org/W2127234931","https://openalex.org/W2160818232","https://openalex.org/W2172163054","https://openalex.org/W2528395469","https://openalex.org/W2615248003","https://openalex.org/W3107289552","https://openalex.org/W3196332710","https://openalex.org/W4230734338","https://openalex.org/W4232863416","https://openalex.org/W4234159614","https://openalex.org/W4234377228","https://openalex.org/W4247664135","https://openalex.org/W4251278888","https://openalex.org/W4252966755","https://openalex.org/W4253661001","https://openalex.org/W4253865845"],"related_works":["https://openalex.org/W2616627668","https://openalex.org/W3137121595","https://openalex.org/W2051345519","https://openalex.org/W1991530724","https://openalex.org/W2023344535","https://openalex.org/W4283262748","https://openalex.org/W2082296339","https://openalex.org/W2161828220","https://openalex.org/W1972348076","https://openalex.org/W2083863157"],"abstract_inverted_index":{"Mathematical":[0],"representations":[1,88,113,120,133],"such":[2],"as":[3,151],"equations":[4],"can":[5,23],"account":[6],"for":[7],"or":[8,64],"unify":[9],"a":[10,35,78],"large":[11],"class":[12],"of":[13,16,21,74,89,119,134,141,143,160],"semantic":[14],"structures":[15],"arithmetic":[17],"word":[18,52,80,83,96],"problems,":[19,53],"each":[20],"which":[22,39],"in":[24,48,62,94],"turn":[25],"be":[26],"expressed":[27],"linguistically.":[28],"In":[29],"this":[30],"paper":[31],"we":[32],"describe":[33],"how":[34],"computer-based":[36],"learning":[37,154,162],"environment,":[38],"addresses":[40],"linguistic":[41,60],"and":[42,50,92,127,156],"conceptual":[43,79,87],"difficulties":[44],"that":[45],"children":[46],"experience":[47],"understanding":[49],"solving":[51],"is":[54,147],"helping":[55],"elementary-level":[56],"students":[57,108,122],"to":[58,109,123,152],"'see'":[59],"descriptions":[61],"quantitative":[63],"mathematical":[65,103],"terms.":[66],"Past":[67],"cognitive":[68],"models":[69],"have":[70],"avoided":[71],"the":[72,90,95,129,135,161],"process":[73],"reading,":[75],"but":[76],"here":[77],"analyser":[81],"parses":[82],"problems":[84],"into":[85],"unambiguous":[86],"quantities":[91],"actions":[93],"problem.":[97],"Reading":[98],"comprehension":[99],"thus":[100],"overlaps":[101],"with":[102],"comprehension.":[104],"Instructional":[105],"tools":[106,146],"allow":[107],"explore":[110],"connections":[111],"between":[112],"by":[114],"manipulating":[115],"icons.":[116],"Dynamic":[117],"linkage":[118],"allows":[121],"manipulate":[124],"one":[125],"representation":[126],"see":[128],"effect":[130],"on":[131],"analogous":[132],"problem":[136],"immediatly.":[137],"A":[138],"prototype":[139],"version":[140],"some":[142],"these":[144],"graphics":[145],"providing":[148],"preliminary":[149],"evaluation":[150],"students'":[153],"choices":[155],"future":[157],"design":[158],"characteristics":[159],"environment.":[163]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
