{"id":"https://openalex.org/W3038002762","doi":"https://doi.org/10.1109/educon45650.2020.9125112","title":"Teaching Triangle Rigidity to K-12 Students with Applications to Civil Engineering","display_name":"Teaching Triangle Rigidity to K-12 Students with Applications to Civil Engineering","publication_year":2020,"publication_date":"2020-04-01","ids":{"openalex":"https://openalex.org/W3038002762","doi":"https://doi.org/10.1109/educon45650.2020.9125112","mag":"3038002762"},"language":"en","primary_location":{"id":"doi:10.1109/educon45650.2020.9125112","is_oa":false,"landing_page_url":"https://doi.org/10.1109/educon45650.2020.9125112","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Global Engineering Education Conference (EDUCON)","raw_type":"proceedings-article"},"type":"article","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/A5008889991","display_name":"Rita de C\u00e1ssia Pavan Lamas","orcid":null},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Rita de Cassia Pavan Lamas","raw_affiliation_strings":["Department of Mathematics, S\u00e3o Paulo State University (Unesp), Institute of Biosciences, Humanities and Exact Sciences, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, S\u00e3o Paulo State University (Unesp), Institute of Biosciences, Humanities and Exact Sciences, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil","institution_ids":["https://openalex.org/I879563668"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029621936","display_name":"Germ\u00e1n Lozada-Cruz","orcid":"https://orcid.org/0000-0003-2860-954X"},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"German Lozada-Cruz","raw_affiliation_strings":["Department of Mathematics, S\u00e3o Paulo State University (Unesp), Institute of Biosciences, Humanities and Exact Sciences, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, S\u00e3o Paulo State University (Unesp), Institute of Biosciences, Humanities and Exact Sciences, S\u00e3o Jos\u00e9 do Rio Preto, SP, Brazil","institution_ids":["https://openalex.org/I879563668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043050190","display_name":"Aruquia Peixoto","orcid":"https://orcid.org/0000-0002-1264-0182"},"institutions":[{"id":"https://openalex.org/I158509141","display_name":"Federal Center for Technological Education Celso Suckow da Fonseca","ror":"https://ror.org/03j8tnm47","country_code":"BR","type":"education","lineage":["https://openalex.org/I1293487690","https://openalex.org/I158509141","https://openalex.org/I2801200668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Aruquia Peixoto","raw_affiliation_strings":["CODIB, CEFET/RJ, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"CODIB, CEFET/RJ, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I158509141"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008889991"],"corresponding_institution_ids":["https://openalex.org/I879563668"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22202854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"521","last_page":"524"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13518","display_name":"Architecture and Computational Design","score":0.8295999765396118,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13518","display_name":"Architecture and Computational Design","score":0.8295999765396118,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11006","display_name":"BIM and Construction Integration","score":0.7210000157356262,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.8183438777923584},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6902011036872864},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.6593002080917358},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5097529292106628},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45071327686309814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3915356695652008},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38936465978622437},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3355730175971985},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.32486867904663086},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32098156213760376},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2918205261230469},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2727280259132385},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.2606358528137207},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20836421847343445},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1837526261806488}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.8183438777923584},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6902011036872864},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.6593002080917358},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5097529292106628},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45071327686309814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3915356695652008},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38936465978622437},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3355730175971985},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.32486867904663086},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32098156213760376},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2918205261230469},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2727280259132385},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.2606358528137207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20836421847343445},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1837526261806488},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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:10.1109/educon45650.2020.9125112","is_oa":false,"landing_page_url":"https://doi.org/10.1109/educon45650.2020.9125112","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Global Engineering Education Conference (EDUCON)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7599999904632568,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2803566687","https://openalex.org/W2803879429","https://openalex.org/W2804337913","https://openalex.org/W2947968944"],"related_works":["https://openalex.org/W2388471861","https://openalex.org/W2354789018","https://openalex.org/W4380684998","https://openalex.org/W2391316944","https://openalex.org/W2065462305","https://openalex.org/W2626846570","https://openalex.org/W4399230304","https://openalex.org/W4293665628","https://openalex.org/W3171917333","https://openalex.org/W2192998894"],"abstract_inverted_index":{"In":[0],"this":[1,26,61],"work,":[2],"we":[3],"propose":[4],"a":[5],"concrete":[6],"material":[7,46],"to":[8,12,21,24,47],"incite":[9],"the":[10,14,32,45,48],"student":[11],"conjecture":[13],"cases":[15,49],"of":[16,18,34,44,50,52,66],"congruence":[17],"triangles":[19,53],"and":[20,54,69],"motivate":[22],"them":[23],"apply":[25],"knowledge":[27],"in":[28,30,39,60],"Engineering,":[29],"particular,":[31],"use":[33],"polygon":[35],"rigidity,":[36],"named":[37],"triangle,":[38],"civil":[40],"construction.":[41],"An":[42],"extension":[43],"similarity":[51],"other":[55],"polygons":[56],"also":[57],"aims":[58],"applications":[59],"area,":[62],"among":[63],"them,":[64],"calculation":[65],"inaccessible":[67],"heights":[68],"mockup":[70],"building.":[71]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}