{"id":"https://openalex.org/W1898693739","doi":null,"title":"Student-to student discussions : the role of the instructor and students in discussions in an inquiry-oriented transition to proof course","display_name":"Student-to student discussions : the role of the instructor and students in discussions in an inquiry-oriented transition to proof course","publication_year":2008,"publication_date":"2008-05-01","ids":{"openalex":"https://openalex.org/W1898693739","mag":"1898693739"},"language":"en","primary_location":{"id":"pmh:oai:repositories.lib.utexas.edu:2152/3891","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2152/3891","pdf_url":"http://hdl.handle.net/2152/3891","source":{"id":"https://openalex.org/S4306400568","display_name":"Texas ScholarWorks (Texas Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210102904","host_organization_name":"Texas Digital Library","host_organization_lineage":["https://openalex.org/I4210102904"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2152/3891","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005042966","display_name":"Stephanie Ryan Nichols","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stephanie Ryan Nichols","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5005042966"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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":0.9667999744415283,"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":0.9667999744415283,"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":0.008899999782443047,"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":0.005400000140070915,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"mathematical proof","score":0.7770000100135803},{"id":"https://openalex.org/keywords/inquiry-based-learning","display_name":"inquiry-based learning","score":0.7300000190734863},{"id":"https://openalex.org/keywords/mathematical-discourse","display_name":"mathematical discourse","score":0.7689999938011169},{"id":"https://openalex.org/keywords/instructor-role","display_name":"instructor role","score":0.7829999923706055},{"id":"https://openalex.org/keywords/student-interaction","display_name":"student interaction","score":0.7139999866485596},{"id":"https://openalex.org/keywords/proof-construction","display_name":"proof construction","score":0.5260000228881836},{"id":"https://openalex.org/keywords/number-theory","display_name":"number theory","score":0.7570000290870667},{"id":"https://openalex.org/keywords/undergraduate-mathematics-education","display_name":"undergraduate mathematics education","score":0.7419999837875366},{"id":"https://openalex.org/keywords/classroom-discourse-analysis","display_name":"classroom discourse analysis","score":0.49900001287460327}],"concepts":[{"id":"https://openalex.org/C194232998","wikidata":"https://www.wikidata.org/wiki/Q1606712","display_name":"Transition (genetics)","level":3,"score":0.6704022288322449},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.630222499370575},{"id":"https://openalex.org/C2777552389","wikidata":"https://www.wikidata.org/wiki/Q1962728","display_name":"Course (navigation)","level":2,"score":0.5255799889564514},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.4965255856513977},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.3414152264595032},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20428889989852905},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.16166672110557556},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:repositories.lib.utexas.edu:2152/3891","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2152/3891","pdf_url":"http://hdl.handle.net/2152/3891","source":{"id":"https://openalex.org/S4306400568","display_name":"Texas ScholarWorks (Texas Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210102904","host_organization_name":"Texas Digital Library","host_organization_lineage":["https://openalex.org/I4210102904"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},{"id":"mag:1898693739","doi":null,"is_oa":false,"landing_page_url":"https://repositories.lib.utexas.edu/bitstream/2152/3891/2/nicholss16229.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":{"id":"pmh:oai:repositories.lib.utexas.edu:2152/3891","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/2152/3891","pdf_url":"http://hdl.handle.net/2152/3891","source":{"id":"https://openalex.org/S4306400568","display_name":"Texas ScholarWorks (Texas Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210102904","host_organization_name":"Texas Digital Library","host_organization_lineage":["https://openalex.org/I4210102904"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},"sustainable_development_goals":[{"score":0.9901999831199646,"display_name":"Quality education","id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1898693739.pdf","grobid_xml":"https://content.openalex.org/works/W1898693739.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W64727113","https://openalex.org/W125945347","https://openalex.org/W144165218","https://openalex.org/W1503244304","https://openalex.org/W1508759305","https://openalex.org/W1524208497","https://openalex.org/W1527311855","https://openalex.org/W1533009465","https://openalex.org/W1580019915","https://openalex.org/W1597854858","https://openalex.org/W1601720265","https://openalex.org/W1969136080","https://openalex.org/W1971092056","https://openalex.org/W1971965101","https://openalex.org/W1986176660","https://openalex.org/W1991683831","https://openalex.org/W1994133656","https://openalex.org/W1996952855","https://openalex.org/W1997784506","https://openalex.org/W1999351485","https://openalex.org/W2003303461","https://openalex.org/W2004538745","https://openalex.org/W2013887977","https://openalex.org/W2015142109","https://openalex.org/W2022435803","https://openalex.org/W2025985651","https://openalex.org/W2027129860","https://openalex.org/W2027631442","https://openalex.org/W2030016256","https://openalex.org/W2035365608","https://openalex.org/W2043665067","https://openalex.org/W2044504144","https://openalex.org/W2044581686","https://openalex.org/W2046661090","https://openalex.org/W2046790558","https://openalex.org/W2047926687","https://openalex.org/W2048541923","https://openalex.org/W2055511637","https://openalex.org/W2061024841","https://openalex.org/W2062389920","https://openalex.org/W2062744367","https://openalex.org/W2081418977","https://openalex.org/W2089475335","https://openalex.org/W2091272278","https://openalex.org/W2093528903","https://openalex.org/W2107435525","https://openalex.org/W2121348565","https://openalex.org/W2123116842","https://openalex.org/W2127207082","https://openalex.org/W2139358546","https://openalex.org/W2163929180","https://openalex.org/W2164599981","https://openalex.org/W2316383658","https://openalex.org/W2317061902","https://openalex.org/W2326972230","https://openalex.org/W2997572684","https://openalex.org/W4213456552"],"related_works":["https://openalex.org/W7100510395","https://openalex.org/W2168631573","https://openalex.org/W2904386336","https://openalex.org/W2796467102","https://openalex.org/W59112432","https://openalex.org/W7057832884","https://openalex.org/W6941340611","https://openalex.org/W2918812110","https://openalex.org/W7018276748","https://openalex.org/W6987474165"],"abstract_inverted_index":{"This":[0,118],"study":[1],"of":[2,51,71,98,123,142,166,172,197,227,235,246],"student-to-student":[3],"discussions":[4,104,124,141,157],"focuses":[5],"on":[6,65,95,105,163,194],"a":[7,19,160,170,192],"single":[8],"inquiry-oriented":[9,116,129],"transition":[10],"to":[11,18,34,57,229,238],"proof":[12,15,53,135],"course.":[13],"Mathematical":[14],"is":[16,56,91,208,213],"essential":[17],"strong":[20],"mathematics":[21,29,131],"education":[22,55],"but":[23],"very":[24,92],"often":[25],"students":[26,99],"complete":[27],"their":[28],"studies":[30],"with":[31,191],"limited":[32],"abilities":[33],"construct":[35],"and":[36,60,68,100,150,200,212],"validate":[37],"mathematical":[38,52,66,78],"proofs":[39,108],"(c.f.":[40],"Harel":[41],"&":[42],"Sowder,":[43],"1998;":[44],"Knuth,":[45],"2002;":[46],"Almeida,":[47],"2000).":[48],"The":[49,140,203,218],"role":[50,97],"in":[54,77,115,127,133,183,189,210,243],"provide":[58],"explanation":[59],"understanding.":[61,83],"Both":[62],"the":[63,69,72,96,101,110,121,137,164,175,195,198,201,244],"research":[64,94,119,207,223],"discourse":[67,79],"standards":[70],"NCTM":[73],"claim":[74],"that":[75,125,180],"participation":[76],"provides":[80],"opportunities":[81],"for":[82,205,221],"Although":[84],"this":[85,173,184,206,222],"link":[86],"has":[87],"been":[88,187],"established,":[89],"there":[90],"little":[93],"instructor":[102,199],"during":[103],"student":[106,148,167],"generated":[107],"at":[109,145,151],"undergraduate":[111,130],"level":[112,165],"--":[113],"particularly":[114],"classes.":[117],"analyzes":[120],"types":[122,179],"occurred":[126],"an":[128,214,236],"course":[132,185,241],"which":[134],"was":[136,224],"main":[138,177],"content.":[139],"interest":[143],"involved":[144],"least":[146,152],"two":[147,228],"participants":[149],"three":[153,230],"separate":[154],"utterances.":[155],"These":[156],"fell":[158],"along":[159],"continuum":[161],"based":[162],"interaction.":[168],"As":[169],"result":[171],"research,":[174],"four":[176],"discussion":[178],"were":[181],"present":[182],"have":[186],"described":[188],"detail":[190],"focus":[193],"roles":[196],"students.":[202],"methodology":[204],"qualitative":[209],"nature":[211],"exploratory":[215],"case":[216],"study.":[217],"data":[219],"used":[220],"video":[225],"tapes":[226],"class":[231],"sessions":[232],"per":[233],"week":[234],"Introduction":[237],"Number":[239],"Theory":[240],"taught":[242],"fall":[245],"2005.":[247]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2016-06-24T00:00:00"}