{"id":"https://openalex.org/W2016752182","doi":"https://doi.org/10.1080/0020739x.2013.770094","title":"Exploring dissections of rectangles into right-angled triangles","display_name":"Exploring dissections of rectangles into right-angled triangles","publication_year":2013,"publication_date":"2013-03-05","ids":{"openalex":"https://openalex.org/W2016752182","doi":"https://doi.org/10.1080/0020739x.2013.770094","mag":"2016752182"},"language":"en","primary_location":{"id":"doi:10.1080/0020739x.2013.770094","doi":"https://doi.org/10.1080/0020739x.2013.770094","is_oa":false,"landing_page_url":"https://doi.org/10.1080/0020739x.2013.770094","pdf_url":null,"source":{"id":"https://openalex.org/S131125421","display_name":"International Journal of Mathematical Education in Science and Technology","issn_l":"0020-739X","issn":["0020-739X","1464-5211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematical Education in Science and Technology","raw_type":"journal-article"},"volume":null,"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/A5069271994","display_name":"Martin Griffiths","orcid":"https://orcid.org/0000-0002-2295-5794","observed_orcids":["https://orcid.org/0000-0002-2295-5794"]},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Martin Griffiths","raw_affiliation_strings":["Mathematical Institute, University of Oxford, 24-25 St Giles\u2019, Oxford OX1 3LB, United Kingdom","Mathematical Institute , University of Oxford , 24-25 St Giles\u2019, Oxford , OX1 3LB , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, 24-25 St Giles\u2019, Oxford OX1 3LB, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Mathematical Institute , University of Oxford , 24-25 St Giles\u2019, Oxford , OX1 3LB , United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069271994"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32641604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"6","first_page":"921","last_page":"927"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.5692999958992004,"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":0.5692999958992004,"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/T12504","display_name":"Mathematics and Applications","score":0.2849000096321106,"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"}},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.12929999828338623,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/right-triangles","display_name":"right triangles","score":1.0},{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.7129999995231628},{"id":"https://openalex.org/keywords/classroom-activities","display_name":"classroom activities","score":0.4819999933242798},{"id":"https://openalex.org/keywords/mathematical-inquiry","display_name":"mathematical investigation","score":0.7950000166893005},{"id":"https://openalex.org/keywords/geometry","display_name":"geometry","score":0.35499998927116394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5489627718925476},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5152068734169006},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.48471593856811523},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45274409651756287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33753252029418945},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3339502215385437},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.09172672033309937},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.06019148230552673},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/0020739x.2013.770094","doi":"https://doi.org/10.1080/0020739x.2013.770094","is_oa":false,"landing_page_url":"https://doi.org/10.1080/0020739x.2013.770094","pdf_url":null,"source":{"id":"https://openalex.org/S131125421","display_name":"International Journal of Mathematical Education in Science and Technology","issn_l":"0020-739X","issn":["0020-739X","1464-5211"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","erih-plus","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematical Education in Science and Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9235000014305115,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"sustainable_development_goals_aurora":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W32262330","https://openalex.org/W2126209209","https://openalex.org/W2407995524","https://openalex.org/W2752853835","https://openalex.org/W2986001730","https://openalex.org/W3143088247","https://openalex.org/W4248034630","https://openalex.org/W4249708694","https://openalex.org/W4403207793"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"In":[0],"this":[1,39,56],"article":[2],"we":[3],"highlight":[4],"how":[5],"a":[6,23,31],"simple":[7],"classroom":[8],"activity":[9],"associated":[10],"with":[11,38],"the":[12,46],"dissection":[13],"of":[14,25,45,49],"rectangles":[15],"into":[16],"right-angled":[17],"triangles":[18],"can":[19],"lead":[20],"on":[21],"to":[22],"number":[24],"interesting":[26],"explorations":[27],"for":[28],"students":[29],"following":[30],"post-16":[32],"mathematics":[33],"course.":[34],"Several":[35],"results":[36],"connected":[37],"construction":[40],"are":[41,57],"obtained,":[42],"and":[43],"some":[44],"educational":[47],"benefits":[48],"carrying":[50],"out":[51],"an":[52],"investigation":[53],"such":[54],"as":[55],"also":[58],"discussed.":[59]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
