{"id":"https://openalex.org/W374294549","doi":null,"title":"Designing for productive failure in mathematical problem solving","display_name":"Designing for productive failure in mathematical problem solving","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W374294549","mag":"374294549"},"language":"en","primary_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt7bj6f9rz","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/7bj6f9rz","pdf_url":"https://escholarship.org/uc/item/7bj6f9rz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society, vol 31, iss 31","raw_type":"article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/uc/item/7bj6f9rz","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066150998","display_name":"Manu Kapur","orcid":"https://orcid.org/0000-0002-2232-6111","observed_orcids":["https://orcid.org/0000-0002-2232-6111"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manu Kapur","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2232-6111","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5073633026","display_name":"June Lee","orcid":"https://orcid.org/0000-0003-3295-9091","observed_orcids":["https://orcid.org/0000-0003-3295-9091"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"June Lee","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3295-9091","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.8759,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.96421604,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":93},"biblio":{"volume":"31","issue":"31","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.7851999998092651,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.7851999998092651,"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/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.10360000282526016,"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/T10636","display_name":"Innovative Teaching and Learning Methods","score":0.051899999380111694,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/productive-failure","display_name":"productive failure","score":1.0},{"id":"https://openalex.org/keywords/mathematical-problem-solving","display_name":"mathematical problem solving","score":0.9380000233650208},{"id":"https://openalex.org/keywords/average-speed","display_name":"average speed","score":0.9700000286102295},{"id":"https://openalex.org/keywords/ill-structured-problems","display_name":"ill-structured problems","score":0.9509999752044678},{"id":"https://openalex.org/keywords/scaffolding","display_name":"scaffolding","score":0.5329999923706055},{"id":"https://openalex.org/keywords/seventh-grade-mathematics","display_name":"seventh grade mathematics","score":0.7350000143051147},{"id":"https://openalex.org/keywords/lower-achieving-students","display_name":"lower-achieving students","score":0.7820000052452087},{"id":"https://openalex.org/keywords/learning-design","display_name":"learning design","score":0.5659999847412109},{"id":"https://openalex.org/keywords/singapore-mathematics-curriculum","display_name":"Singapore mathematics curriculum","score":0.4699999988079071}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5767968893051147},{"id":"https://openalex.org/C2776014549","wikidata":"https://www.wikidata.org/wiki/Q3050847","display_name":"Consolidation (business)","level":2,"score":0.436050683259964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3322107493877411},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31760793924331665},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10704311728477478},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:escholarship.org/ark:/13030/qt7bj6f9rz","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/7bj6f9rz","pdf_url":"https://escholarship.org/uc/item/7bj6f9rz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society, vol 31, iss 31","raw_type":"article"},{"id":"pmh:qt7bj6f9rz","doi":null,"is_oa":true,"landing_page_url":"http://www.escholarship.org/uc/item/7bj6f9rz","pdf_url":"http://www.escholarship.org/uc/item/7bj6f9rz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kapur, Manu; & Lee, June. (2009). Designing for Productive Failure in Mathematical Problem Solving. Proceedings of the Cognitive Science Society, 31(31). Retrieved from: http://www.escholarship.org/uc/item/7bj6f9rz","raw_type":"article"},{"id":"mag:374294549","doi":null,"is_oa":false,"landing_page_url":"https://escholarship.org/content/qt7bj6f9rz/qt7bj6f9rz.pdf?t=op2lpk","pdf_url":null,"source":{"id":"https://openalex.org/S4306523994","display_name":"Proceedings of the Annual Meeting of the Cognitive Science Society","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society","raw_type":null}],"best_oa_location":{"id":"pmh:oai:escholarship.org/ark:/13030/qt7bj6f9rz","doi":null,"is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/7bj6f9rz","pdf_url":"https://escholarship.org/uc/item/7bj6f9rz","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the Annual Meeting of the Cognitive Science Society, vol 31, iss 31","raw_type":"article"},"sustainable_development_goals":[{"display_name":"Quality education","score":0.9235000014305115,"id":"https://metadata.un.org/sdg/4"}],"study_designs":[{"display_name":"Clinical Trial","id":"https://openalex.org/study-designs/clinical-trial"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W374294549.pdf","grobid_xml":"https://content.openalex.org/works/W374294549.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1583020840","https://openalex.org/W1968199915","https://openalex.org/W1970209023","https://openalex.org/W1976637107","https://openalex.org/W1983624685","https://openalex.org/W1998953386","https://openalex.org/W2022837716","https://openalex.org/W2030319947","https://openalex.org/W2051827833","https://openalex.org/W2058943716","https://openalex.org/W2082868901","https://openalex.org/W2091023276","https://openalex.org/W2115712166","https://openalex.org/W2130232844","https://openalex.org/W2134907585","https://openalex.org/W2164599981"],"related_works":["https://openalex.org/W2091023276","https://openalex.org/W2080548691","https://openalex.org/W2004976651","https://openalex.org/W2033719803","https://openalex.org/W2394797375","https://openalex.org/W4402943044","https://openalex.org/W3176548557","https://openalex.org/W4392564858","https://openalex.org/W4376642517","https://openalex.org/W3120653483"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"two":[3,34,87],"quasi-experimental":[4],"studies":[5],"of":[6,33,115,121,127],"productive":[7,37,77,122],"failure":[8,78,123],"(Kapur,":[9],"2008)":[10],"in":[11,67,103],"Singapore":[12],"public":[13],"schools":[14],"for":[15,124],"the":[16,22,76,85,91,98,113,116],"curricular":[17],"unit":[18],"on":[19,45,89,97],"average":[20,46],"speed.In":[21],"first":[23,117],"study,":[24,101],"seventh-grade":[25],"mathematics":[26],"students":[27,40,74],"from":[28,75,84],"intact":[29],"classes":[30],"experienced":[31],"one":[32],"conditions:":[35],"a)":[36],"failure,":[38],"where":[39],"solved":[41],"complex,":[42],"ill-structured":[43],"problems":[44,96],"speed":[47],"without":[48],"any":[49],"instructional":[50],"support":[51],"or":[52,59],"scaffolds":[53],"up":[54],"until":[55],"a":[56],"teacher-led":[57],"consolidation,":[58],"b)":[60],"traditional":[61],"lecture":[62],"and":[63,70,93,119,129],"practice.Despite":[64],"seemingly":[65],"failing":[66],"their":[68,82],"collective":[69],"individual":[71],"problem-solving":[72],"efforts,":[73],"condition":[79],"significantly":[80,107],"outperformed":[81],"counterparts":[83],"other":[86],"conditions":[88],"both":[90],"wellstructured":[92],"higher-order":[94],"application":[95],"posttest.The":[99],"second":[100],"conducted":[102],"another":[104],"school":[105],"with":[106],"lower":[108],"academic":[109],"ability":[110],"students,":[111],"replicated":[112],"findings":[114],"study.Findings":[118],"implications":[120],"theory,":[125],"design":[126],"learning,":[128],"future":[130],"research":[131],"are":[132],"discussed.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}