{"id":"https://openalex.org/W1984361237","doi":"https://doi.org/10.1080/00207390010022590","title":"Limits and continuity: some conceptions of first-year students","display_name":"Limits and continuity: some conceptions of first-year students","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W1984361237","doi":"https://doi.org/10.1080/00207390010022590","mag":"1984361237"},"language":"en","primary_location":{"id":"doi:10.1080/00207390010022590","doi":"https://doi.org/10.1080/00207390010022590","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207390010022590","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":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"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/A5008084280","display_name":"Jan Bezuidenhout","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jan Bezuidenhout","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5008084280"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1979,"has_fulltext":false,"cited_by_count":141,"citation_normalized_percentile":{"value":0.93800592,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"32","issue":"4","first_page":"487","last_page":"500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.42239999771118164,"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":0.42239999771118164,"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/T14079","display_name":"Mathematics Education and Programs","score":0.3815999925136566,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.094200000166893,"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/limits-of-functions","display_name":"limits of functions","score":0.8180000185966492},{"id":"https://openalex.org/keywords/continuity-of-functions","display_name":"continuity of functions","score":0.8460000157356262},{"id":"https://openalex.org/keywords/first-year-students","display_name":"first-year students","score":0.9120000004768372},{"id":"https://openalex.org/keywords/pre-university-mathematics","display_name":"pre-university mathematics","score":0.6039999723434448}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6933532953262329},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6879211664199829},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5750700235366821},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5338941812515259},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5148548483848572},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47039541602134705},{"id":"https://openalex.org/C33569630","wikidata":"https://www.wikidata.org/wiki/Q7433816","display_name":"Scientific misconceptions","level":3,"score":0.42719531059265137},{"id":"https://openalex.org/C48164120","wikidata":"https://www.wikidata.org/wiki/Q4491893","display_name":"Concept learning","level":2,"score":0.420274019241333},{"id":"https://openalex.org/C44877443","wikidata":"https://www.wikidata.org/wiki/Q2485457","display_name":"Science education","level":2,"score":0.14057835936546326},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.13553336262702942},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07527345418930054},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207390010022590","doi":"https://doi.org/10.1080/00207390010022590","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207390010022590","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":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"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"},{"id":"doi:10.1080/00207390121499","doi":"https://doi.org/10.1080/00207390121499","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207390121499","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":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-2","vabb-shw"],"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":0.8278999924659729,"id":"https://metadata.un.org/sdg/4","display_name":"Quality education"}],"study_designs":[{"id":"https://openalex.org/study-designs/observational-study","display_name":"Observational Study"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1974711434","https://openalex.org/W1982791773","https://openalex.org/W2045749775"],"related_works":["https://openalex.org/W1564609195","https://openalex.org/W4388483842","https://openalex.org/W1510884767","https://openalex.org/W763791379","https://openalex.org/W3120347039","https://openalex.org/W2407998476","https://openalex.org/W4410308450","https://openalex.org/W2245015836","https://openalex.org/W3204711268","https://openalex.org/W7099562149"],"abstract_inverted_index":{"A":[0],"research":[1],"method":[2],"consisting":[3],"of":[4,18,46,57,67,69,74],"written":[5],"tests":[6,36],"and":[7,24,61,72],"individual":[8],"interviews":[9],"was":[10],"introduced":[11],"to":[12,34,38,64],"examine":[13],"first-year":[14],"university":[15],"students'":[16,44,65],"understanding":[17,45,66],"fundamental":[19],"calculus":[20,47],"concepts.":[21],"Six":[22],"hundred":[23],"thirty":[25],"students":[26],"from":[27],"three":[28],"South":[29],"African":[30],"universities":[31],"were":[32,49],"subjected":[33],"the":[35,58],"pertaining":[37],"this":[39],"study.":[40],"Several":[41],"misconceptions":[42,62],"underlying":[43],"concepts":[48],"identified.":[50],"This":[51],"paper":[52],"deals":[53],"mainly":[54],"with":[55],"some":[56],"common":[59],"errors":[60],"relating":[63],"\u2018limit":[68],"a":[70,75,78],"function\u2019":[71],"\u2018continuity":[73],"function":[76],"at":[77],"point\u2019.":[79]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2026-10-13T10:08:12.033832","created_date":"2016-06-24T00:00:00"}