{"id":"https://openalex.org/W43301761","doi":"https://doi.org/10.1007/1-4020-8131-6_2","title":"The Core of Algebra: Reflections on its Main Activities","display_name":"The Core of Algebra: Reflections on its Main Activities","publication_year":2006,"publication_date":"2006-01-23","ids":{"openalex":"https://openalex.org/W43301761","doi":"https://doi.org/10.1007/1-4020-8131-6_2","mag":"43301761"},"language":"en","primary_location":{"id":"doi:10.1007/1-4020-8131-6_2","doi":"https://doi.org/10.1007/1-4020-8131-6_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/1-4020-8131-6_2","pdf_url":null,"source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New ICMI Study Series","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W391094119","display_name":"The Future of the Teaching and Learning of Algebra The 12th ICMI Study"},"type":"book-chapter","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/A5078367054","display_name":"Carolyn Kieran","orcid":"https://orcid.org/0000-0002-6193-1330","observed_orcids":["https://orcid.org/0000-0002-6193-1330"]},"institutions":[{"id":"https://openalex.org/I159129438","display_name":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al","ror":"https://ror.org/002rjbv21","country_code":"CA","type":"education","lineage":["https://openalex.org/I159129438","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Carolyn Kieran","raw_affiliation_strings":["Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Canada","Universite du Quebec `a Montreal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 du Qu\u00e9bec \u00e0 Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I159129438"]},{"raw_affiliation_string":"Universite du Quebec `a Montreal","institution_ids":["https://openalex.org/I159129438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078367054"],"corresponding_institution_ids":["https://openalex.org/I159129438"],"apc_list":null,"apc_paid":null,"fwci":19.5999,"has_fulltext":false,"cited_by_count":102,"citation_normalized_percentile":{"value":0.99028209,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"21","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9663000106811523,"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":0.9663000106811523,"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/T12170","display_name":"History and Theory of Mathematics","score":0.010700000450015068,"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"}},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.008200000040233135,"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/school-algebra","display_name":"school algebra","score":0.8429999947547913},{"id":"https://openalex.org/keywords/algebra-instruction","display_name":"algebra instruction","score":0.5350000262260437},{"id":"https://openalex.org/keywords/technology-in-mathematics-education","display_name":"technology in mathematics education","score":0.6129999756813049}],"concepts":[{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6763028502464294},{"id":"https://openalex.org/C38775462","wikidata":"https://www.wikidata.org/wiki/Q1569376","display_name":"Transformational leadership","level":2,"score":0.6381365656852722},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.48493292927742004},{"id":"https://openalex.org/C185701065","wikidata":"https://www.wikidata.org/wiki/Q159943","display_name":"Abstract algebra","level":3,"score":0.41056379675865173},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.39555615186691284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3726191520690918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3384142220020294},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2548857033252716},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.19350135326385498},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/1-4020-8131-6_2","doi":"https://doi.org/10.1007/1-4020-8131-6_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/1-4020-8131-6_2","pdf_url":null,"source":{"id":"https://openalex.org/S4306463519","display_name":"Kluwer Academic Publishers eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New ICMI Study Series","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6164000034332275,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"sustainable_development_goals_aurora":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W24879300","https://openalex.org/W50218950","https://openalex.org/W140181812","https://openalex.org/W215067024","https://openalex.org/W270972347","https://openalex.org/W1433705038","https://openalex.org/W1481584004","https://openalex.org/W1524047387","https://openalex.org/W1818340420","https://openalex.org/W1878506279","https://openalex.org/W1967959605","https://openalex.org/W2104950992","https://openalex.org/W2138691045","https://openalex.org/W2248279490","https://openalex.org/W2921583674","https://openalex.org/W3168209245","https://openalex.org/W4233785398","https://openalex.org/W4241161462","https://openalex.org/W6982191909"],"related_works":["https://openalex.org/W2978689542","https://openalex.org/W2771884254","https://openalex.org/W2064774127","https://openalex.org/W615446076","https://openalex.org/W282137744","https://openalex.org/W1524330472","https://openalex.org/W7034556442","https://openalex.org/W3010533817","https://openalex.org/W6922178026","https://openalex.org/W1995364177"],"abstract_inverted_index":{"This":[0],"chapter":[1],"is":[2,26,45],"Carolyn":[3],"Kieran\u2019s":[4],"Plenary":[5],"Lecture":[6],"that":[7,25],"was":[8],"presented":[9],"at":[10],"the":[11,59,71],"12":[12],"th":[13],"ICMI":[14],"Study":[15],"Conference.":[16],"It":[17],"presents":[18],"a":[19,27,48],"model":[20,44],"for":[21,50],"conceptualising":[22],"algebraic":[23],"activity":[24],"synthesis":[28],"of":[29,33,73],"three":[30],"principal":[31],"activities":[32],"school":[34],"algebra:":[35],"generational":[36],"activity,":[37,39],"transformational":[38],"and":[40,57,67],"global/meta-level":[41],"activity.":[42],"The":[43],"used":[46],"as":[47],"basis":[49],"reflecting":[51],"on":[52,58],"past":[53],"research":[54],"in":[55,63,70],"algebra":[56,65],"changing":[60],"perspectives":[61],"possible,":[62],"both":[64],"classes":[66],"future":[68],"research,":[69],"presence":[72],"technology.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":7}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}
