{"id":"https://openalex.org/W2137485313","doi":null,"title":"PEDAGOGY THAT MAKES (NUMBER) SENSE: A CLASSROOM TEACHING EXPERIMENT AROUND MENTAL MATH","display_name":"PEDAGOGY THAT MAKES (NUMBER) SENSE: A CLASSROOM TEACHING EXPERIMENT AROUND MENTAL MATH","publication_year":2006,"publication_date":"2006-11-09","ids":{"openalex":"https://openalex.org/W2137485313","mag":"2137485313"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.97.4349","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.4349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.pmena.org/2006/cd/TEACHER EDUCATION -PRESERVICE/TEACHER EDUCATION -PRESERVICE-0004.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"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/A5048029723","display_name":"Ian Whitacre","orcid":"https://orcid.org/0000-0002-2868-5350","observed_orcids":["https://orcid.org/0000-0002-2868-5350"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ian Whitacre","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2868-5350","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058250434","display_name":"Susan D. Nickerson","orcid":"https://orcid.org/0000-0002-0135-6573","observed_orcids":["https://orcid.org/0000-0002-0135-6573"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Susan D. Nickerson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-0135-6573","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.9965999722480774,"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":0.9965999722480774,"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/T12522","display_name":"Mathematics Education and Pedagogy","score":0.0017999999690800905,"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/T11345","display_name":"Cognitive and developmental aspects of mathematical skills","score":0.0010000000474974513,"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/number-sense","display_name":"number sense","score":0.9660000205039978},{"id":"https://openalex.org/keywords/mental-arithmetic","display_name":"mental arithmetic","score":0.9919999837875366},{"id":"https://openalex.org/keywords/pre-service-elementary-teachers","display_name":"pre-service primary teachers","score":0.949999988079071},{"id":"https://openalex.org/keywords/mathematics-teacher-education","display_name":"mathematics teacher education","score":0.7860000133514404},{"id":"https://openalex.org/keywords/instructional-sequence","display_name":"instructional sequence","score":0.7250000238418579},{"id":"https://openalex.org/keywords/mathematical-model","display_name":"mathematical model","score":0.5609999895095825},{"id":"https://openalex.org/keywords/number-sense-development","display_name":"number sense development","score":0.45100000500679016},{"id":"https://openalex.org/keywords/teaching-experiment","display_name":"teaching experiment","score":0.4490000009536743},{"id":"https://openalex.org/keywords/student-solution-strategies","display_name":"student solution strategies","score":0.3610000014305115}],"concepts":[{"id":"https://openalex.org/C173600914","wikidata":"https://www.wikidata.org/wiki/Q3663819","display_name":"Number sense","level":2,"score":0.7418228983879089},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.6770963072776794},{"id":"https://openalex.org/C2984408293","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Math education","level":2,"score":0.49602827429771423},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.47266945242881775},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.4634862244129181},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.411818265914917}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.97.4349","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.4349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.pmena.org/2006/cd/TEACHER EDUCATION -PRESERVICE/TEACHER EDUCATION -PRESERVICE-0004.pdf","raw_type":"text"},{"id":"mag:2137485313","doi":null,"is_oa":false,"landing_page_url":"https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.97.4349&rep=rep1&type=pdf","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":[{"display_name":"Quality education","score":0.9951000213623047,"id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W296093176","https://openalex.org/W1494762377","https://openalex.org/W1546583452","https://openalex.org/W1571527402","https://openalex.org/W1606328991","https://openalex.org/W2011166536","https://openalex.org/W2028954902","https://openalex.org/W2037499174","https://openalex.org/W2059226480","https://openalex.org/W2061616255","https://openalex.org/W2068531252","https://openalex.org/W2091272278","https://openalex.org/W2094563572","https://openalex.org/W2164599981","https://openalex.org/W2354157941","https://openalex.org/W2902942306","https://openalex.org/W3177317345"],"related_works":["https://openalex.org/W1863983401","https://openalex.org/W6892701956","https://openalex.org/W2943644960","https://openalex.org/W1971188682","https://openalex.org/W7073769862","https://openalex.org/W2318973502","https://openalex.org/W151721259","https://openalex.org/W2739441711","https://openalex.org/W2416613401","https://openalex.org/W3158662003"],"abstract_inverted_index":{"We":[0,21],"report":[1],"on":[2],"a":[3,13,46,82,129,173],"classroom":[4,88],"teaching":[5,117],"experiment":[6],"around":[7],"number":[8,35,47,79,111,124,139,164,176],"sensible":[9,165],"mental":[10,40,202],"math":[11,169,203],"in":[12,87,126],"semester-long":[14],"content":[15],"course":[16],"for":[17,101,144],"preservice":[18],"elementary":[19,145],"teachers.":[20,146],"designed,":[22],"implemented,":[23],"and":[24,52,59,65,155,193],"revised":[25],"an":[26],"instructional":[27],"sequence":[28],"aimed":[29],"at":[30,118,201],"students":[31,57,61,75,107,127],"\u2019":[32,62,108],"development":[33,109,122],"of":[34,70,84,99,110,123,133,158,175,188],"sense":[36,48,80,125,140,154,177],"with":[37,55,185],"regard":[38],"to":[39,104,152],"math.":[41],"The":[42,121],"data":[43,72],"corpus":[44],"included:":[45],"test":[49],"administered":[50],"pre":[51,58],"post,":[53,60],"interviews":[54],"13":[56],"written":[63],"work,":[64],"the":[66,71,97,186,190],"instructor\u2019s":[67],"journal.":[68],"Analysis":[69],"suggests":[73],"that":[74],"did":[76],"develop":[77],"greater":[78],"as":[81,94],"result":[83],"their":[85],"participation":[86],"activities.":[89],"Particular":[90],"pedagogical":[91],"innovations,":[92],"such":[93],"those":[95],"involving":[96],"use":[98],"models":[100],"reasoning,":[102],"seem":[103],"have":[105],"supported":[106],"sense.":[112],"Results":[113],"can":[114],"inform":[115],"mathematics":[116,134],"various":[119],"levels.":[120],"is":[128,141,171],"widely":[130],"accepted":[131],"goal":[132],"instruction":[135],"(NCTM,":[136],"2000).":[137],"Good":[138],"especially":[142],"essential":[143],"Without":[147],"it,":[148],"they":[149],"are":[150,199],"ill-equipped":[151],"make":[153],"take":[156],"advantage":[157],"children\u2019s":[159],"often":[160],"unorthodox":[161],"but":[162],"very":[163],"solution":[166],"strategies.":[167],"Mental":[168],"ability":[170],"considered":[172],"hallmark":[174],"(Sowder,":[178],"1992).":[179],"Much":[180],"work":[181],"has":[182],"been":[183],"done":[184],"aim":[187],"identifying":[189],"characteristics":[191],"exhibited":[192],"strategies":[194],"used":[195],"by":[196],"individuals":[197],"who":[198],"skilled":[200]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
