{"id":"https://openalex.org/W653139929","doi":null,"title":"Perspectives on the teaching of geometry for the 21st century : an ICMI study","display_name":"Perspectives on the teaching of geometry for the 21st century : an ICMI study","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W653139929","mag":"653139929"},"language":"en","primary_location":{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-010382098","doi":null,"is_oa":false,"landing_page_url":"http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010382098&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"volume":null,"type":"article","indexed_in":[],"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/A5047869773","display_name":"Carmelo Mammana","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carmelo Mammana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5066089146","display_name":"Vinicio Villani","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vinicio Villani","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":17.2034,"has_fulltext":false,"cited_by_count":77,"citation_normalized_percentile":{"value":0.98772254,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9506999850273132,"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":0.9506999850273132,"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":0.03290000185370445,"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/T12170","display_name":"History and Theory of Mathematics","score":0.010300000198185444,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/geometry-teaching","display_name":"geometry teaching","score":0.7799999713897705},{"id":"https://openalex.org/keywords/history-of-geometry-teaching","display_name":"history of geometry teaching","score":0.9369999766349792},{"id":"https://openalex.org/keywords/geometry-curriculum","display_name":"geometry curriculum","score":0.6610000133514404},{"id":"https://openalex.org/keywords/spatial-knowledge","display_name":"spatial knowledge","score":0.7269999980926514},{"id":"https://openalex.org/keywords/geometry-textbook","display_name":"geometry textbook","score":0.4970000088214874},{"id":"https://openalex.org/keywords/dynamic-geometry","display_name":"dynamic geometry","score":0.800000011920929},{"id":"https://openalex.org/keywords/geometric-proof","display_name":"geometric proof","score":0.628000020980835},{"id":"https://openalex.org/keywords/cad-tools","display_name":"CAD software","score":0.6460000276565552},{"id":"https://openalex.org/keywords/mathematics-education-reform","display_name":"mathematics education reform","score":0.367000013589859}],"concepts":[{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.870074450969696},{"id":"https://openalex.org/C32990609","wikidata":"https://www.wikidata.org/wiki/Q306542","display_name":"Transformation geometry","level":2,"score":0.533872127532959},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5311424136161804},{"id":"https://openalex.org/C194196696","wikidata":"https://www.wikidata.org/wiki/Q1753378","display_name":"Coordination geometry","level":4,"score":0.4338643550872803},{"id":"https://openalex.org/C47177190","wikidata":"https://www.wikidata.org/wiki/Q207137","display_name":"Curriculum","level":2,"score":0.42917585372924805},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.38127604126930237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32850146293640137},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2653943598270416},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.17406314611434937},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.16399776935577393},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.13654553890228271},{"id":"https://openalex.org/C112887158","wikidata":"https://www.wikidata.org/wiki/Q169324","display_name":"Hydrogen bond","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-010382098","doi":null,"is_oa":false,"landing_page_url":"http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010382098&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:653139929","doi":null,"is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/ncid/BA35768414","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality education","score":0.9235000014305115}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4393052225","https://openalex.org/W2167518133","https://openalex.org/W4237392752","https://openalex.org/W2460735474","https://openalex.org/W2406441612","https://openalex.org/W4230949088","https://openalex.org/W193354442","https://openalex.org/W2763571930","https://openalex.org/W6967329613","https://openalex.org/W3095600267"],"abstract_inverted_index":{"Introduction.":[0],"I.":[1,29,56,126,157,159,191,224,292,332],"Geometry":[2,31,43,60,64,77,88,105,122,127,136,144,166,177,190,220,243,256,280,290,299,309,323,335,345,380],"and":[3,27,48,75,112,128,141,151,186,271,287,336,353],"Geometry-Teaching":[4],"through":[5],"the":[6,14,39,101,152,163,187,210,253,259,272,277,317,354,369,377,382,389,394],"Ages":[7],"C.":[8,171,179],"Mammana,":[9],"V.":[10,18,22,32,93,300,325,364],"Villani.":[11,19,23],"II.":[12,35,63,132,173,230,303,340],"About":[13,57],"Present":[15],"ICMI":[16],"Study":[17],"III.":[20,46,73,139,183,249,314],"Acknowledgements":[21],"1:":[24],"Geometry:":[25],"Past":[26,260],"Future.":[28],"Everlasting":[30],"Lundsgaard":[33,301,326],"Hansen.":[34,302,327],"Finding":[36],"Room":[37],"in":[38,54,59,78,100,123,143,162,167,175,242,252,258,289,298,308,322,330,344],"Curriculum":[40],"for":[41,199,381],"Recent":[42,133],"J.":[44,130,346],"Malkevitch.":[45,131],"Space":[47],"Plane":[49],"A.":[50],"Douady.":[51],"2:":[52],"Reasoning":[53,58,342],"Geometry.":[55,155,331],"R.":[61,71,89,106,212],"Hershkowitz.":[62],"from":[65],"a":[66,168,197],"Cognitive":[67],"Point":[68],"of":[69,96,104,135,154,165,189,219,233,240,255,269,279,305,334,356,368,379,386,393],"View":[70],"Duval.":[72],"Teaching":[74,103,153,188,257,278,378],"Learning":[76],"Contexts":[79,178],"M.":[80,245,265,281,283,338,358],"Bartolini":[81],"Bussi,":[82],"P.":[83,146],"Boero.":[84],"IV.":[85,193],"Springboards":[86],"to":[87,115,388],"Lehrer,":[90],"T.":[91],"Romberg.":[92],"The":[94,194,217,225,231,361],"Role":[95],"Pupils'":[97],"Spatial":[98],"Knowledge":[99],"Elementary":[102],"Berthelot,":[107],"M.H.":[108],"Salin.":[109],"VI.":[110],"Deductive":[111],"Intuitive":[113],"Approaches":[114],"Solving":[116],"Geometrical":[117,202],"Problems":[118],"K.":[119,181],"Jones.":[120,182],"3:":[121],"our":[124],"World.":[125],"Reality":[129],"Applications":[134],"W.":[137],"Meyer.":[138],"Science":[140],"Technology":[142,150],"Textbooks":[145,244],"Legisa.":[147],"4:":[148],"Computer":[149,195],"Introduction":[156],"Osta.":[158,192],"Visual":[160],"Phenomena":[161],"Teaching/Learning":[164],"Computer-Based":[169],"Environment":[170],"Laborde.":[172],"Proof":[174],"Dynamic":[176],"Hoyles,":[180],"CAD":[184],"Tools":[185],"as":[196,235],"Context":[198],"New":[200],"Possible":[201,320],"Activities":[203],"K.-D.":[204],"Graf,":[205],"B.":[206,214],"Hodgson.":[207],"5:":[208],"Geometryin":[209],"Classroom":[211],"Douady,":[213],"Parzysz.":[215],"6:":[216],"Evolution":[218,232],"Education":[221,355],"since":[222],"1900.":[223],"British":[226],"Experience":[227],"H.B.":[228,263],"Griffiths.":[229],"Curricula":[234,296,306,324],"Indicated":[236],"by":[237],"Different":[238],"Kinds":[239],"Change":[241],"Galuzzi,":[246,282],"et":[247,312,348],"al.":[248,313,349],"General":[250,273,293],"Tendencies":[251],"Development":[254,275],"Two":[261],"Decades":[262],"Griffiths,":[264],"Neubrand.":[266,284],"Appendix:":[267,374],"Influences":[268],"History":[270],"Social":[274],"on":[276,295,366,376],"7:":[285],"Changes":[286],"Trends":[288,321],"Curricula.":[291],"Considerations":[294],"Designs":[297,307],"Examples":[304],"C.E.":[310],"Vasco,":[311],"Looking":[315],"Towards":[316],"21st":[318,383],"Century:":[319],"8:":[328],"Assessment":[329,337],"Dimensions":[333],"Niss.":[339,359],"Assessing":[341],"Abilities":[343],"Pegg,":[347],"9:":[350],"Teacher":[351],"Qualifications":[352],"Teachers":[357],"10:":[360],"Way":[362],"Ahead":[363],"Villani":[365],"behalf":[367],"International":[370],"Program":[371],"Committee.":[372],"Bibliography.":[373],"Perspectives":[375],"Century.":[384],"List":[385],"Participants":[387],"Catania":[390],"Conference.":[391],"Addresses":[392],"Contributors.":[395],"Index.":[396]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2016-06-24T00:00:00"}