{"id":"https://openalex.org/W2596583655","doi":"https://doi.org/10.1016/j.jmathb.2017.02.007","title":"The learning and teaching of linear algebra: Observations and generalizations","display_name":"The learning and teaching of linear algebra: Observations and generalizations","publication_year":2017,"publication_date":"2017-03-16","ids":{"openalex":"https://openalex.org/W2596583655","doi":"https://doi.org/10.1016/j.jmathb.2017.02.007","mag":"2596583655"},"language":"en","primary_location":{"id":"doi:10.1016/j.jmathb.2017.02.007","doi":"https://doi.org/10.1016/j.jmathb.2017.02.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jmathb.2017.02.007","pdf_url":null,"source":{"id":"https://openalex.org/S161209770","display_name":"The Journal of Mathematical Behavior","issn_l":"0732-3123","issn":["0732-3123","1873-8028"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Mathematical Behavior","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5109832067","display_name":"Guershon Harel","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Guershon Harel","raw_affiliation_strings":["University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0112, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0112, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109832067"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":{"value":3170,"currency":"USD","value_usd":3170},"apc_paid":null,"fwci":16.2967,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.98975702,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"46","issue":null,"first_page":"69","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9945999979972839,"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"}},"topics":[{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9945999979972839,"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/T14079","display_name":"Mathematics Education and Programs","score":0.0010999999940395355,"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":0.000699999975040555,"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/linear-algebra-teaching","display_name":"linear algebra education","score":0.7789999842643738},{"id":"https://openalex.org/keywords/linear-systems-of-equations","display_name":"systems of linear equations","score":0.9850000143051147},{"id":"https://openalex.org/keywords/teaching-experiment","display_name":"teaching experiment","score":0.6589999794960022},{"id":"https://openalex.org/keywords/apos-theory","display_name":"APOS theory","score":0.8270000219345093},{"id":"https://openalex.org/keywords/conjecture-generation","display_name":"conjecture generation","score":0.7239999771118164},{"id":"https://openalex.org/keywords/proof","display_name":"proof","score":0.7049999833106995},{"id":"https://openalex.org/keywords/constructivism","display_name":"constructivism","score":0.6150000095367432},{"id":"https://openalex.org/keywords/teacher-education","display_name":"teacher professional development","score":0.5680000185966492}],"concepts":[{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.6996158957481384},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6709955930709839},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6482858657836914},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5912914276123047},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5822015404701233},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.5643348693847656},{"id":"https://openalex.org/C2779702343","wikidata":"https://www.wikidata.org/wiki/Q1166770","display_name":"Depiction","level":2,"score":0.5422055125236511},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.511008620262146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38498780131340027},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.34730082750320435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34175390005111694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2741767466068268},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1256805956363678},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jmathb.2017.02.007","doi":"https://doi.org/10.1016/j.jmathb.2017.02.007","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jmathb.2017.02.007","pdf_url":null,"source":{"id":"https://openalex.org/S161209770","display_name":"The Journal of Mathematical Behavior","issn_l":"0732-3123","issn":["0732-3123","1873-8028"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Mathematical Behavior","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.975600004196167,"display_name":"Quality education","id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W15323006","https://openalex.org/W79323211","https://openalex.org/W82428586","https://openalex.org/W95998266","https://openalex.org/W152570492","https://openalex.org/W163817795","https://openalex.org/W180956837","https://openalex.org/W185112828","https://openalex.org/W196128386","https://openalex.org/W238571495","https://openalex.org/W357496177","https://openalex.org/W575532802","https://openalex.org/W594158091","https://openalex.org/W625256577","https://openalex.org/W1582187752","https://openalex.org/W1605477783","https://openalex.org/W1606328991","https://openalex.org/W1973132348","https://openalex.org/W1974711434","https://openalex.org/W1979396065","https://openalex.org/W1981451605","https://openalex.org/W1981963428","https://openalex.org/W1987588138","https://openalex.org/W2030571888","https://openalex.org/W2046488495","https://openalex.org/W2049978155","https://openalex.org/W2055798037","https://openalex.org/W2059221889","https://openalex.org/W2064332794","https://openalex.org/W2069089778","https://openalex.org/W2077417605","https://openalex.org/W2081935639","https://openalex.org/W2093528903","https://openalex.org/W2094817075","https://openalex.org/W2108798755","https://openalex.org/W2132211399","https://openalex.org/W2135769440","https://openalex.org/W2137247190","https://openalex.org/W2140369176","https://openalex.org/W2153564900","https://openalex.org/W2160163170","https://openalex.org/W2346230723","https://openalex.org/W2497229988","https://openalex.org/W2504924748","https://openalex.org/W2528083366","https://openalex.org/W2990292436","https://openalex.org/W3152256043","https://openalex.org/W4205383731","https://openalex.org/W4232380446","https://openalex.org/W4239567200","https://openalex.org/W4242749185","https://openalex.org/W4285719527","https://openalex.org/W6603348750","https://openalex.org/W6606659473","https://openalex.org/W6607862146","https://openalex.org/W6635053333","https://openalex.org/W6635906522","https://openalex.org/W6728287196"],"related_works":["https://openalex.org/W3097082574","https://openalex.org/W7167885557","https://openalex.org/W2786459170","https://openalex.org/W2797437173","https://openalex.org/W196462576","https://openalex.org/W4310379953","https://openalex.org/W4224944615","https://openalex.org/W7133465724","https://openalex.org/W2197151361","https://openalex.org/W80597363"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2017-03-23T00:00:00"}