{"id":"https://openalex.org/W4319968880","doi":"https://doi.org/10.3390/computation11020031","title":"Computational Triangulation in Mathematics Teacher Education","display_name":"Computational Triangulation in Mathematics Teacher Education","publication_year":2023,"publication_date":"2023-02-10","ids":{"openalex":"https://openalex.org/W4319968880","doi":"https://doi.org/10.3390/computation11020031"},"language":"en","primary_location":{"id":"doi:10.3390/computation11020031","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11020031","pdf_url":"https://www.mdpi.com/2079-3197/11/2/31/pdf?version=1676100267","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/2/31/pdf?version=1676100267","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083098599","display_name":"Sergei Abramovich","orcid":null},"institutions":[{"id":"https://openalex.org/I83328411","display_name":"State University of New York at Potsdam","ror":"https://ror.org/032qgrc76","country_code":"US","type":"education","lineage":["https://openalex.org/I83328411"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergei Abramovich","raw_affiliation_strings":["School of Education and Professional Studies, State University of New York, Potsdam, NY 13676, USA"],"raw_orcid":"https://orcid.org/0000-0003-0340-1689","affiliations":[{"raw_affiliation_string":"School of Education and Professional Studies, State University of New York, Potsdam, NY 13676, USA","institution_ids":["https://openalex.org/I83328411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083098599"],"corresponding_institution_ids":["https://openalex.org/I83328411"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":7.5238,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.97035466,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"31","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9757999777793884,"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":0.9757999777793884,"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/triangulation","display_name":"Triangulation","score":0.7995496392250061},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6391819715499878},{"id":"https://openalex.org/keywords/fibonacci-number","display_name":"Fibonacci number","score":0.6240478754043579},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5185937881469727},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.47998473048210144},{"id":"https://openalex.org/keywords/computational-thinking","display_name":"Computational thinking","score":0.47209829092025757},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4661238193511963},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4475383460521698},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.403641015291214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.401205450296402},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.3993634283542633},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3807452321052551},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3459683954715729},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18087515234947205},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.17808836698532104}],"concepts":[{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.7995496392250061},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6391819715499878},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.6240478754043579},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5185937881469727},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.47998473048210144},{"id":"https://openalex.org/C2780368719","wikidata":"https://www.wikidata.org/wiki/Q5157342","display_name":"Computational thinking","level":2,"score":0.47209829092025757},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4661238193511963},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4475383460521698},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.403641015291214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.401205450296402},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3993634283542633},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3807452321052551},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3459683954715729},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18087515234947205},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17808836698532104},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation11020031","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11020031","pdf_url":"https://www.mdpi.com/2079-3197/11/2/31/pdf?version=1676100267","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:262eb4c8601f4fed8aacedb2fcb78367","is_oa":true,"landing_page_url":"https://doaj.org/article/262eb4c8601f4fed8aacedb2fcb78367","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 2, p 31 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/2/31/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation11020031","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11020031","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11020031","pdf_url":"https://www.mdpi.com/2079-3197/11/2/31/pdf?version=1676100267","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8199999928474426,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4319968880.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1577844117","https://openalex.org/W1988085273","https://openalex.org/W2071093314","https://openalex.org/W2074296891","https://openalex.org/W2155287730","https://openalex.org/W2197605993","https://openalex.org/W2339183141","https://openalex.org/W2359180288","https://openalex.org/W2485238739","https://openalex.org/W2499438662","https://openalex.org/W2505714894","https://openalex.org/W2797673549","https://openalex.org/W2938937870","https://openalex.org/W4237970627","https://openalex.org/W4241101384","https://openalex.org/W4312814753","https://openalex.org/W4360930296","https://openalex.org/W6608815102","https://openalex.org/W6706657919"],"related_works":["https://openalex.org/W2920386017","https://openalex.org/W2795454383","https://openalex.org/W2054041134","https://openalex.org/W4317662907","https://openalex.org/W4316467349","https://openalex.org/W2896847511","https://openalex.org/W2313406248","https://openalex.org/W2007817959","https://openalex.org/W1977770783","https://openalex.org/W2885112035"],"abstract_inverted_index":{"The":[0,29],"paper":[1,30,85],"is":[2,42],"written":[3],"to":[4,19,120],"demonstrate":[5],"the":[6,9,22,33,45,50,68,73,81,84,87,93,96,99,111,126,140],"applicability":[7],"of":[8,11,25,52,67,76,89,95,113,128,131],"notion":[10],"triangulation":[12,48],"typically":[13],"used":[14,37,138],"in":[15,44,49,80,92,110,125,139],"social":[16],"sciences":[17],"research":[18],"computationally":[20],"enhance":[21],"mathematics":[23,75],"education":[24],"future":[26],"K-12":[27],"teachers.":[28],"starts":[31],"with":[32],"so-called":[34],"Brain":[35,82],"Teaser":[36],"as":[38,64],"background":[39],"for":[40],"(what":[41],"called":[43],"paper)":[46],"computational":[47,90,114],"context":[51],"four":[53],"digital":[54,103,136],"tools.":[55],"Computational":[56],"problem":[57,60],"solving":[58],"and":[59,107],"formulating":[61],"are":[62],"presented":[63],"two":[65],"sides":[66],"same":[69],"coin.":[70],"By":[71],"revealing":[72],"hidden":[74],"Fibonacci":[77],"numbers":[78,132],"included":[79],"Teaser,":[83],"discusses":[86],"role":[88],"thinking":[91],"use":[94],"well-ordering":[97],"principle,":[98],"generating":[100],"function":[101],"method,":[102],"fabrication,":[104],"difference":[105],"equations,":[106],"continued":[108],"fractions":[109],"development":[112],"algorithms.":[115],"These":[116],"algorithms":[117],"eventually":[118],"lead":[119],"a":[121,129],"generalized":[122],"Golden":[123],"Ratio":[124],"form":[127],"string":[130],"independently":[133],"generated":[134],"by":[135],"tools":[137],"paper.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
