{"id":"https://openalex.org/W2560183796","doi":"https://doi.org/10.1007/s10649-016-9737-0","title":"A characterization of a unified notion of mathematical function: the case of high school function and linear transformation","display_name":"A characterization of a unified notion of mathematical function: the case of high school function and linear transformation","publication_year":2016,"publication_date":"2016-12-05","ids":{"openalex":"https://openalex.org/W2560183796","doi":"https://doi.org/10.1007/s10649-016-9737-0","mag":"2560183796"},"language":"en","primary_location":{"id":"doi:10.1007/s10649-016-9737-0","doi":"https://doi.org/10.1007/s10649-016-9737-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10649-016-9737-0","pdf_url":null,"source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","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/A5016559366","display_name":"Michelle Zandieh","orcid":"https://orcid.org/0000-0002-2279-8231","observed_orcids":["https://orcid.org/0000-0002-2279-8231"]},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michelle Zandieh","raw_affiliation_strings":["Science and Mathematics Faculty, College of Integrative Sciences and Arts, Arizona State University, Polytechnic Campus, Mesa, AZ, 85212, USA"],"raw_orcid":"https://orcid.org/0000-0002-2279-8231","affiliations":[{"raw_affiliation_string":"Science and Mathematics Faculty, College of Integrative Sciences and Arts, Arizona State University, Polytechnic Campus, Mesa, AZ, 85212, USA","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jessica Ellis","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jessica Ellis","raw_affiliation_strings":["Department of Mathematics, Colorado State University, Fort Collins, CO, 80523-1874, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Colorado State University, Fort Collins, CO, 80523-1874, USA","institution_ids":["https://openalex.org/I92446798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025382741","display_name":"Chris L. Rasmussen","orcid":"https://orcid.org/0000-0002-0153-3867","observed_orcids":["https://orcid.org/0000-0002-0153-3867"]},"institutions":[{"id":"https://openalex.org/I26538001","display_name":"San Diego State University","ror":"https://ror.org/0264fdx42","country_code":"US","type":"education","lineage":["https://openalex.org/I26538001"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chris Rasmussen","raw_affiliation_strings":["Department of Mathematics and Statistics, San Diego State University, San Diego, CA, 92182-7720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, San Diego State University, San Diego, CA, 92182-7720, USA","institution_ids":["https://openalex.org/I26538001"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016559366"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":10.4133,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.97762537,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"95","issue":"1","first_page":"21","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9125999808311462,"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":0.9125999808311462,"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":0.05090000107884407,"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/T12170","display_name":"History and Theory of Mathematics","score":0.006599999964237213,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-functions","display_name":"mathematical functions","score":0.6629999876022339},{"id":"https://openalex.org/keywords/linear-operators","display_name":"linear operators","score":0.7870000004768372},{"id":"https://openalex.org/keywords/concept-image","display_name":"concept image","score":0.7409999966621399},{"id":"https://openalex.org/keywords/conceptual-metaphor","display_name":"conceptual metaphor","score":0.4490000009536743},{"id":"https://openalex.org/keywords/high-school-algebra","display_name":"high school algebra","score":0.8040000200271606},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"linear algebra","score":0.8330000042915344},{"id":"https://openalex.org/keywords/metaphorical-language","display_name":"metaphorical language","score":0.5879999995231628},{"id":"https://openalex.org/keywords/undergraduate-mathematics-learning","display_name":"undergraduate mathematics learning","score":0.49399998784065247}],"concepts":[{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6643925309181213},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.5901353359222412},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5792412161827087},{"id":"https://openalex.org/C169087156","wikidata":"https://www.wikidata.org/wiki/Q2131593","display_name":"Framing (construction)","level":2,"score":0.5031077265739441},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.49789905548095703},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48953375220298767},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.4816390573978424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4650610089302063},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4136168658733368},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3556520640850067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32497450709342957},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12255480885505676},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10649-016-9737-0","doi":"https://doi.org/10.1007/s10649-016-9737-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10649-016-9737-0","pdf_url":null,"source":{"id":"https://openalex.org/S119483640","display_name":"Educational Studies in Mathematics","issn_l":"0013-1954","issn":["0013-1954","1573-0816"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-3","ki-jl-1","norway-2","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Educational Studies in Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.6164000034332275}],"study_designs":[],"awards":[{"id":"https://openalex.org/G4744332069","display_name":"Collaborative Research: Developing Inquiry Oriented Instructional Materials for Linear Algebra","funder_award_id":"1246083","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W2411078","https://openalex.org/W108993400","https://openalex.org/W138569412","https://openalex.org/W196128386","https://openalex.org/W1486073615","https://openalex.org/W1536258620","https://openalex.org/W1545748428","https://openalex.org/W1551342482","https://openalex.org/W1974711434","https://openalex.org/W1980510330","https://openalex.org/W1996380693","https://openalex.org/W2027056303","https://openalex.org/W2027129860","https://openalex.org/W2030473325","https://openalex.org/W2052417512","https://openalex.org/W2055798037","https://openalex.org/W2072267223","https://openalex.org/W2079553224","https://openalex.org/W2094817075","https://openalex.org/W2122120800","https://openalex.org/W2146691185","https://openalex.org/W2153903308","https://openalex.org/W2155348479","https://openalex.org/W2305342932","https://openalex.org/W2329395632","https://openalex.org/W2504924748","https://openalex.org/W2583809922","https://openalex.org/W2899573755","https://openalex.org/W3020794379","https://openalex.org/W4232713779","https://openalex.org/W4249468442","https://openalex.org/W4251351703","https://openalex.org/W7044164732","https://openalex.org/W7073831661"],"related_works":["https://openalex.org/W7119242836","https://openalex.org/W2181322260","https://openalex.org/W3080107521","https://openalex.org/W4295153125","https://openalex.org/W3044476173","https://openalex.org/W2039284737","https://openalex.org/W6999660432","https://openalex.org/W1519136390","https://openalex.org/W2388423010","https://openalex.org/W4246676246"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-12-16T00:00:00"}
