{"id":"https://openalex.org/W2803085263","doi":"https://doi.org/10.70594/brain/v9.i1/11","title":"The Role of Language in Teaching and Learning Mathematics","display_name":"The Role of Language in Teaching and Learning Mathematics","publication_year":2018,"publication_date":"2018-02-28","ids":{"openalex":"https://openalex.org/W2803085263","doi":"https://doi.org/10.70594/brain/v9.i1/11","mag":"2803085263"},"language":"en","primary_location":{"id":"doi:10.70594/brain/v9.i1/11","doi":"https://doi.org/10.70594/brain/v9.i1/11","is_oa":true,"landing_page_url":"https://doi.org/10.70594/brain/v9.i1/11","pdf_url":null,"source":{"id":"https://openalex.org/S4210169493","display_name":"BRAIN BROAD RESEARCH IN ARTIFICIAL INTELLIGENCE AND NEUROSCIENCE","issn_l":"2068-0473","issn":["2068-0473","2067-3957"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","erih-plus","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310314622","host_organization_name":"EduSoft publishing house","host_organization_lineage":["https://openalex.org/P4310314622"],"host_organization_lineage_names":["EduSoft publishing house"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BRAIN. Broad Research in Artificial Intelligence and Neuroscience","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.70594/brain/v9.i1/11","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087488130","display_name":"Aslanbek Naziev","orcid":"https://orcid.org/0000-0003-3278-7795","observed_orcids":["https://orcid.org/0000-0003-3278-7795"]},"institutions":[{"id":"https://openalex.org/I197380109","display_name":"Ryazan State University","ror":"https://ror.org/0562zzt06","country_code":"RU","type":"education","lineage":["https://openalex.org/I197380109"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Aslanbek Naziev","raw_affiliation_strings":["Ryazan State University, Ryazan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ryazan State University, Ryazan","institution_ids":["https://openalex.org/I197380109"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087488130"],"corresponding_institution_ids":["https://openalex.org/I197380109"],"apc_list":{"value":150,"currency":"EUR","value_usd":161},"apc_paid":{"value":150,"currency":"EUR","value_usd":161},"fwci":1.9145,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.888619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"9","issue":"1","first_page":"114","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.5609999895095825,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.5609999895095825,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.296099990606308,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.10220000147819519,"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/language-in-mathematics-education","display_name":"language in mathematics education","score":0.6930000185966492},{"id":"https://openalex.org/keywords/abstract-objects","display_name":"abstract objects","score":0.4090000092983246},{"id":"https://openalex.org/keywords/elementary-geometry","display_name":"elementary geometry","score":0.7429999709129333},{"id":"https://openalex.org/keywords/elementary-algebra","display_name":"elementary algebra","score":1.0},{"id":"https://openalex.org/keywords/probability-theory","display_name":"probability theory","score":0.9129999876022339},{"id":"https://openalex.org/keywords/proof","display_name":"proof","score":0.5270000100135803},{"id":"https://openalex.org/keywords/image-thinking","display_name":"image thinking","score":0.9729999899864197},{"id":"https://openalex.org/keywords/cassiodorus","display_name":"Cassiodorus","score":0.6140000224113464},{"id":"https://openalex.org/keywords/kolmogorov","display_name":"Kolmogorov","score":0.9670000076293945}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.7183009386062622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.496994286775589},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3229835629463196},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.3227713108062744},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.08205839991569519}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.70594/brain/v9.i1/11","doi":"https://doi.org/10.70594/brain/v9.i1/11","is_oa":true,"landing_page_url":"https://doi.org/10.70594/brain/v9.i1/11","pdf_url":null,"source":{"id":"https://openalex.org/S4210169493","display_name":"BRAIN BROAD RESEARCH IN ARTIFICIAL INTELLIGENCE AND NEUROSCIENCE","issn_l":"2068-0473","issn":["2068-0473","2067-3957"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","erih-plus","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310314622","host_organization_name":"EduSoft publishing house","host_organization_lineage":["https://openalex.org/P4310314622"],"host_organization_lineage_names":["EduSoft publishing house"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BRAIN. Broad Research in Artificial Intelligence and Neuroscience","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.12101","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.12101","pdf_url":"https://arxiv.org/pdf/1810.12101","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:e880aacba8444f8b8078cc32f9aec993","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/e880aacba8444f8b8078cc32f9aec993","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Brain: Broad Research in Artificial Intelligence and Neuroscience, Vol 9, Iss 1, Pp 114-124 (2018)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1810.12101","doi":"https://doi.org/10.48550/arxiv.1810.12101","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1810.12101","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2964071204","doi":null,"is_oa":true,"landing_page_url":"https://brain.edusoft.ro/index.php/brain/article/view/756/861","pdf_url":null,"source":{"id":"https://openalex.org/S4210169493","display_name":"BRAIN BROAD RESEARCH IN ARTIFICIAL INTELLIGENCE AND NEUROSCIENCE","issn_l":"2068-0473","issn":["2068-0473","2067-3957"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","erih-plus","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310314622","host_organization_name":"EduSoft publishing house","host_organization_lineage":["https://openalex.org/P4310314622"],"host_organization_lineage_names":["EduSoft publishing house"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"BRAIN. Broad Research in Artificial Intelligence and Neuroscience","raw_type":null}],"best_oa_location":{"id":"doi:10.70594/brain/v9.i1/11","doi":"https://doi.org/10.70594/brain/v9.i1/11","is_oa":true,"landing_page_url":"https://doi.org/10.70594/brain/v9.i1/11","pdf_url":null,"source":{"id":"https://openalex.org/S4210169493","display_name":"BRAIN BROAD RESEARCH IN ARTIFICIAL INTELLIGENCE AND NEUROSCIENCE","issn_l":"2068-0473","issn":["2068-0473","2067-3957"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","erih-plus","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4310314622","host_organization_name":"EduSoft publishing house","host_organization_lineage":["https://openalex.org/P4310314622"],"host_organization_lineage_names":["EduSoft publishing house"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"BRAIN. Broad Research in Artificial Intelligence and Neuroscience","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6164000034332275,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2803085263.pdf","grobid_xml":"https://content.openalex.org/works/W2803085263.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4205448138","https://openalex.org/W7202283867","https://openalex.org/W6982566486","https://openalex.org/W3127383375","https://openalex.org/W40352771","https://openalex.org/W2358892026","https://openalex.org/W1780191814","https://openalex.org/W3059402000","https://openalex.org/W1656254660","https://openalex.org/W4387465352"],"abstract_inverted_index":{"In":[0],"this":[1,85,140,144,161],"paper":[2],"we":[3,155,174],"discuss":[4],"the":[5,10,20,32,38,45,68,74,90,107,115,122,130,137,146,158,165,169,190,193,200],"role":[6,70,86],"of":[7,12,22,59,71,93,109,117,124,132,139,160,192,202],"language":[8,72,131,179],"in":[9,31,44,52,73,136,168,199],"process":[11],"teaching":[13,51],"and":[14,42,79,151,178,183],"learning":[15,80],"mathematics.":[16,81,94],"We":[17,82,127,142],"begin":[18],"with":[19,106,166],"definition":[21,66],"mathematics":[23,50],"by":[24,89],"Cassiodorus":[25],"(in":[26],"its":[27],"essential":[28],"features":[29],"repeated":[30],"famous":[33],"Kolmogorov's":[34],"article":[35],"\"Mathematics\"\u009d":[36],"from":[37,148],"\"Great":[39],"Soviet":[40],"Encyclopedia\"\u009d":[41],"explored":[43],"author's":[46],"book":[47],"Humanitarian":[48],"oriented":[49],"general":[53],"school":[54],"-":[55],"Ryazan,":[56],"Ryazan":[57],"Institute":[58],"Education":[60],"Development,":[61],"2000,":[62],"112":[63],"p.).":[64],"This":[65,111],"illuminates":[67],"exceptional":[69],"building,":[75],"discovering,":[76],"understanding,":[77],"teaching,":[78],"show":[83,128,175],"that":[84],"is":[87],"predetermined":[88],"abstract":[91,96,119],"character":[92],"The":[95],"object":[97],"cannot":[98],"be":[99,104],"shown;":[100],"it":[101],"can":[102],"only":[103],"described":[105],"help":[108,180],"language.":[110],"gives":[112],"rise":[113],"to":[114,181,197],"problem":[116],"identifying":[118],"entities":[120],"on":[121],"grounds":[123],"their":[125],"descriptions.":[126],"how":[129,176],"set":[133],"theory":[134],"helps":[135],"solution":[138,162],"problem.":[141],"illustrate":[143],"through":[145],"examples":[147],"elementary":[149,152],"geometry":[150],"algebra.":[153],"And":[154],"especially":[156],"underline":[157],"importance":[159],"for":[163],"work":[164],"events":[167],"probability":[170],"theory.":[171],"After":[172],"that,":[173],"proof":[177],"form":[182],"develop":[184],"imagery":[185,203],"thinking":[186],"and,":[187],"thereby,":[188],"illuminate":[189],"possibility":[191],"left":[194],"brain":[195],"hemisphere":[196],"participate":[198],"formation":[201],"thinking.":[204]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2018-05-17T00:00:00"}