{"id":"https://openalex.org/W4386826835","doi":"https://doi.org/10.1007/978-3-031-36394-8_22","title":"Physical Meaning Often Leads to Natural Derivations in Elementary Mathematics: On the Examples of Solving Quadratic and Cubic Equations","display_name":"Physical Meaning Often Leads to Natural Derivations in Elementary Mathematics: On the Examples of Solving Quadratic and Cubic Equations","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4386826835","doi":"https://doi.org/10.1007/978-3-031-36394-8_22"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-36394-8_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-36394-8_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210187899","display_name":"Studies in systems, decision and control","issn_l":"2198-4182","issn":["2198-4182","2198-4190"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Systems, Decision and Control","raw_type":"book-chapter"},"type":"book-chapter","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/A5089495141","display_name":"Christian Serv\u00edn","orcid":"https://orcid.org/0000-0001-9965-4386"},"institutions":[{"id":"https://openalex.org/I45442566","display_name":"El Paso Community College","ror":"https://ror.org/01gswfc04","country_code":"US","type":"education","lineage":["https://openalex.org/I45442566"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christian Servin","raw_affiliation_strings":["Information Technology Systems Department, El Paso Community College (EPCC), 919 Hunter Dr., El Paso, TX, 79915-1908, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Technology Systems Department, El Paso Community College (EPCC), 919 Hunter Dr., El Paso, TX, 79915-1908, USA","institution_ids":["https://openalex.org/I45442566"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075920182","display_name":"Olga Kosheleva","orcid":"https://orcid.org/0000-0003-2587-4209"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olga Kosheleva","raw_affiliation_strings":["Department of Teacher Education, University of Texas at El Paso, 500 W. University El Paso, Texas, 79968, USA","Department of Teacher Education, University of Texas at El Paso, 500\u00a0W. University El Paso, Texas, 79968, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Teacher Education, University of Texas at El Paso, 500 W. University El Paso, Texas, 79968, USA","institution_ids":["https://openalex.org/I164936912"]},{"raw_affiliation_string":"Department of Teacher Education, University of Texas at El Paso, 500\u00a0W. University El Paso, Texas, 79968, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vladik Kreinovich","raw_affiliation_strings":["Department of Computer Science, University of Texas at El Paso, 500\u00a0W. University El Paso, Texas, 79968, USA","Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at El Paso, 500\u00a0W. University El Paso, Texas, 79968, USA","institution_ids":["https://openalex.org/I164936912"]},{"raw_affiliation_string":"Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA","institution_ids":["https://openalex.org/I164936912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061275811"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.50519878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.953499972820282,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.953499972820282,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12504","display_name":"Mathematics and Applications","score":0.9124000072479248,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/quadratic-equation","display_name":"Quadratic equation","score":0.8376477360725403},{"id":"https://openalex.org/keywords/meaning","display_name":"Meaning (existential)","score":0.6480070352554321},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6265217065811157},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.5267443060874939},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.42652010917663574},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3647046387195587},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36121731996536255},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2655433416366577},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.16921138763427734},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10570076107978821},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06582367420196533}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.8376477360725403},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.6480070352554321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6265217065811157},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.5267443060874939},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.42652010917663574},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3647046387195587},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36121731996536255},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2655433416366577},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.16921138763427734},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10570076107978821},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06582367420196533},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-031-36394-8_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-36394-8_22","pdf_url":null,"source":{"id":"https://openalex.org/S4210187899","display_name":"Studies in systems, decision and control","issn_l":"2198-4182","issn":["2198-4182","2198-4190"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Systems, Decision and Control","raw_type":"book-chapter"},{"id":"pmh:oai:scholarworks.utep.edu:cs_techrep-2668","is_oa":false,"landing_page_url":"https://scholarworks.utep.edu/cs_techrep/1681","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2088836968","https://openalex.org/W2369480852","https://openalex.org/W2360473631","https://openalex.org/W2897855253","https://openalex.org/W2313927466","https://openalex.org/W1973641256","https://openalex.org/W4283262748","https://openalex.org/W2352901769","https://openalex.org/W2743004639","https://openalex.org/W2318277440"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}