{"id":"https://openalex.org/W4281670908","doi":"https://doi.org/10.3390/appliedmath2020016","title":"Computer-Algebra-Software-Assisted Calculus Instruction, Not Calculus for Dummies: Bespoke Applications Necessitate Theory","display_name":"Computer-Algebra-Software-Assisted Calculus Instruction, Not Calculus for Dummies: Bespoke Applications Necessitate Theory","publication_year":2022,"publication_date":"2022-06-07","ids":{"openalex":"https://openalex.org/W4281670908","doi":"https://doi.org/10.3390/appliedmath2020016"},"language":"en","primary_location":{"id":"doi:10.3390/appliedmath2020016","doi":"https://doi.org/10.3390/appliedmath2020016","is_oa":true,"landing_page_url":"https://doi.org/10.3390/appliedmath2020016","pdf_url":"https://www.mdpi.com/2673-9909/2/2/16/pdf?version=1654593827","source":{"id":"https://openalex.org/S4210196797","display_name":"AppliedMath","issn_l":"2673-9909","issn":["2673-9909"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AppliedMath","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2673-9909/2/2/16/pdf?version=1654593827","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047557932","display_name":"Daniel A. Griffith","orcid":"https://orcid.org/0000-0001-5125-6450","observed_orcids":["https://orcid.org/0000-0001-5125-6450"]},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel A. Griffith","raw_affiliation_strings":["School of Economic, Political, and Policy Science, University of Texas at Dallas, Richardson, TX 75080, USA"],"raw_orcid":"https://orcid.org/0000-0001-5125-6450","affiliations":[{"raw_affiliation_string":"School of Economic, Political, and Policy Science, University of Texas at Dallas, Richardson, TX 75080, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047557932"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":{"value":1000,"currency":"CHF","value_usd":1047},"apc_paid":{"value":1000,"currency":"CHF","value_usd":1047},"fwci":0.1485,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.41081703,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":"2","first_page":"261","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13806","display_name":"Mathematical and Computational Methods","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T13806","display_name":"Mathematical and Computational Methods","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.005900000222027302,"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":0.004699999932199717,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/computer-algebra-systems","display_name":"computer algebra systems","score":0.9660000205039978},{"id":"https://openalex.org/keywords/calculus-instruction","display_name":"calculus teaching","score":0.9760000109672546},{"id":"https://openalex.org/keywords/spatial-statistics","display_name":"spatial statistics","score":0.6499999761581421},{"id":"https://openalex.org/keywords/software-bug","display_name":"software errors","score":0.3869999945163727},{"id":"https://openalex.org/keywords/mathematica","display_name":"Mathematica","score":0.7129999995231628},{"id":"https://openalex.org/keywords/maple","display_name":"maple","score":0.9990000128746033},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"mathematics education","score":0.6460000276565552}],"concepts":[{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.7374200820922852},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6070411205291748},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5798519253730774},{"id":"https://openalex.org/C161771561","wikidata":"https://www.wikidata.org/wiki/Q1970286","display_name":"Process calculus","level":2,"score":0.5043576955795288},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4540274441242218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30311721563339233},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29758158326148987},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12234878540039062},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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":1,"locations":[{"id":"doi:10.3390/appliedmath2020016","doi":"https://doi.org/10.3390/appliedmath2020016","is_oa":true,"landing_page_url":"https://doi.org/10.3390/appliedmath2020016","pdf_url":"https://www.mdpi.com/2673-9909/2/2/16/pdf?version=1654593827","source":{"id":"https://openalex.org/S4210196797","display_name":"AppliedMath","issn_l":"2673-9909","issn":["2673-9909"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AppliedMath","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/appliedmath2020016","doi":"https://doi.org/10.3390/appliedmath2020016","is_oa":true,"landing_page_url":"https://doi.org/10.3390/appliedmath2020016","pdf_url":"https://www.mdpi.com/2673-9909/2/2/16/pdf?version=1654593827","source":{"id":"https://openalex.org/S4210196797","display_name":"AppliedMath","issn_l":"2673-9909","issn":["2673-9909"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","norway-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AppliedMath","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Quality education","score":0.6164000034332275,"id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281670908.pdf","grobid_xml":"https://content.openalex.org/works/W4281670908.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W18553681","https://openalex.org/W1519053442","https://openalex.org/W1599710294","https://openalex.org/W1966481609","https://openalex.org/W1986186706","https://openalex.org/W1986444402","https://openalex.org/W2016451485","https://openalex.org/W2020589258","https://openalex.org/W2053808610","https://openalex.org/W2062882841","https://openalex.org/W2079185666","https://openalex.org/W2114220616","https://openalex.org/W2236111521","https://openalex.org/W2375748417","https://openalex.org/W2919657828","https://openalex.org/W3172656442","https://openalex.org/W3172761087","https://openalex.org/W4210682059","https://openalex.org/W4211069136","https://openalex.org/W6709288479"],"related_works":["https://openalex.org/W1519053442","https://openalex.org/W41396940","https://openalex.org/W2941012469","https://openalex.org/W2768678396","https://openalex.org/W2770865556","https://openalex.org/W232744400","https://openalex.org/W3084650329","https://openalex.org/W3161640402","https://openalex.org/W2246835078","https://openalex.org/W3106860953"],"abstract_inverted_index":{"Today,":[0],"calculus":[1,41,67,76],"frequently":[2],"is":[3],"taught":[4],"with":[5,23],"artificial":[6],"intelligence":[7],"in":[8,51,55],"the":[9,24,37,72],"form":[10],"of":[11,26,40],"computer":[12,53],"algebra":[13],"systems.":[14],"Although":[15],"these":[16],"software":[17,54,80],"packages":[18,81],"may":[19,29],"reduce":[20],"tedium":[21],"associated":[22],"mechanics":[25],"calculus,":[27],"they":[28],"be":[30],"less":[31],"effective":[32],"if":[33],"not":[34],"supplemented":[35],"by":[36],"accompanying":[38],"teaching":[39],"theory.":[42],"This":[43],"paper":[44],"presents":[45],"two":[46],"examples":[47],"from":[48],"spatial":[49],"statistics":[50],"which":[52],"an":[56],"unsupervised":[57],"auto-execution":[58],"mode":[59],"fails,":[60],"or":[61],"can":[62],"fail,":[63],"to":[64,74],"yield":[65],"correct":[66],"results.":[68],"Accordingly,":[69],"it":[70],"emphasizes":[71],"need":[73],"teach":[75],"theory":[77],"when":[78],"using":[79],"such":[82],"as":[83],"Mathematica":[84],"and":[85],"Maple.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2022-06-13T00:00:00"}
