{"id":"https://openalex.org/W1979902870","doi":"https://doi.org/10.1103/physrevstper.9.020114","title":"Using an isomorphic problem pair to learn introductory physics: Transferring from a two-step problem to a three-step problem","display_name":"Using an isomorphic problem pair to learn introductory physics: Transferring from a two-step problem to a three-step problem","publication_year":2013,"publication_date":"2013-10-10","ids":{"openalex":"https://openalex.org/W1979902870","doi":"https://doi.org/10.1103/physrevstper.9.020114","mag":"1979902870"},"language":"en","primary_location":{"id":"doi:10.1103/physrevstper.9.020114","doi":"https://doi.org/10.1103/physrevstper.9.020114","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevstper.9.020114","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevSTPER.9.020114","source":{"id":"https://openalex.org/S184542645","display_name":"Physical Review Special Topics - Physics Education Research","issn_l":"1554-9178","issn":["1554-9178"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Special Topics - Physics Education Research","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://link.aps.org/pdf/10.1103/PhysRevSTPER.9.020114","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056907588","display_name":"Shih\u2010Yin Lin","orcid":"https://orcid.org/0000-0001-8033-2889","observed_orcids":["https://orcid.org/0000-0001-8033-2889"]},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shih-Yin Lin","raw_affiliation_strings":["Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15213, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15213, USA","institution_ids":["https://openalex.org/I170201317"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018378490","display_name":"Chandralekha Singh","orcid":"https://orcid.org/0000-0002-1234-5458","observed_orcids":["https://orcid.org/0000-0002-1234-5458"]},"institutions":[{"id":"https://openalex.org/I170201317","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305","country_code":"US","type":"education","lineage":["https://openalex.org/I170201317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chandralekha Singh","raw_affiliation_strings":["Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15213, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15213, USA","institution_ids":["https://openalex.org/I170201317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I170201317"],"apc_list":{"value":2000,"currency":"USD","value_usd":2000},"apc_paid":{"value":2000,"currency":"USD","value_usd":2000},"fwci":9.6794,"has_fulltext":true,"cited_by_count":63,"citation_normalized_percentile":{"value":0.9730468,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10072","display_name":"Science Education and Pedagogy","score":0.8461999893188477,"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/T10072","display_name":"Science Education and Pedagogy","score":0.8461999893188477,"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/T12931","display_name":"Educational Methods and Outcomes","score":0.07569999992847443,"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/T11516","display_name":"Visual and Cognitive Learning Processes","score":0.01759999990463257,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive 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/isomorphic-problems","display_name":"isomorphic problems","score":0.9110000133514404},{"id":"https://openalex.org/keywords/analogical-reasoning","display_name":"analogical reasoning","score":0.9810000061988831},{"id":"https://openalex.org/keywords/problem-solving","display_name":"problem solving","score":0.45399999618530273},{"id":"https://openalex.org/keywords/scaffolding","display_name":"scaffolding","score":0.6959999799728394},{"id":"https://openalex.org/keywords/transfer-of-learning","display_name":"transfer of learning","score":0.7229999899864197},{"id":"https://openalex.org/keywords/introductory-physics","display_name":"introductory physics","score":0.7590000033378601},{"id":"https://openalex.org/keywords/surface-features","display_name":"surface features","score":0.531000018119812},{"id":"https://openalex.org/keywords/calculus-based-physics","display_name":"calculus-based physics","score":0.5979999899864197},{"id":"https://openalex.org/keywords/algebra-based-physics","display_name":"algebra-based physics","score":0.9679999947547913},{"id":"https://openalex.org/keywords/think-aloud-interviews","display_name":"think-aloud interviews","score":0.625}],"concepts":[{"id":"https://openalex.org/C78821406","wikidata":"https://www.wikidata.org/wiki/Q391810","display_name":"Think aloud protocol","level":3,"score":0.5765142440795898},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.526365339756012},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49790382385253906},{"id":"https://openalex.org/C2780909375","wikidata":"https://www.wikidata.org/wiki/Q1060990","display_name":"Problem-based learning","level":2,"score":0.4811224043369293},{"id":"https://openalex.org/C2985612853","wikidata":"https://www.wikidata.org/wiki/Q185816","display_name":"Analogical reasoning","level":3,"score":0.4378964900970459},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.42074719071388245},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31938648223876953},{"id":"https://openalex.org/C521332185","wikidata":"https://www.wikidata.org/wiki/Q185816","display_name":"Analogy","level":2,"score":0.1474459171295166},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.08357897400856018},{"id":"https://openalex.org/C107457646","wikidata":"https://www.wikidata.org/wiki/Q207434","display_name":"Human\u2013computer interaction","level":1,"score":0.07859843969345093},{"id":"https://openalex.org/C170130773","wikidata":"https://www.wikidata.org/wiki/Q216378","display_name":"Usability","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1103/physrevstper.9.020114","doi":"https://doi.org/10.1103/physrevstper.9.020114","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevstper.9.020114","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevSTPER.9.020114","source":{"id":"https://openalex.org/S184542645","display_name":"Physical Review Special Topics - Physics Education Research","issn_l":"1554-9178","issn":["1554-9178"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Special Topics - Physics Education Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1602.05710","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.05710","pdf_url":"https://arxiv.org/pdf/1602.05710","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:93ab6693f0f84e96a11dd379cd3d639c","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/93ab6693f0f84e96a11dd379cd3d639c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review Special Topics. Physics Education Research, Vol 9, Iss 2, p 020114 (2013)","raw_type":"article"},{"id":"doi:10.48550/arxiv.1602.05710","doi":"https://doi.org/10.48550/arxiv.1602.05710","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1602.05710","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1103/physrevstper.9.020114","doi":"https://doi.org/10.1103/physrevstper.9.020114","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physrevstper.9.020114","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevSTPER.9.020114","source":{"id":"https://openalex.org/S184542645","display_name":"Physical Review Special Topics - Physics Education Research","issn_l":"1554-9178","issn":["1554-9178"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Special Topics - Physics Education Research","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.9235000014305115,"display_name":"Quality education"}],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/4","score":0.8299999833106995,"display_name":"Quality education"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1979902870.pdf","grobid_xml":"https://content.openalex.org/works/W1979902870.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W236512113","https://openalex.org/W585079857","https://openalex.org/W600881208","https://openalex.org/W626113951","https://openalex.org/W1480687347","https://openalex.org/W1486477330","https://openalex.org/W1501570881","https://openalex.org/W1508363014","https://openalex.org/W1514290684","https://openalex.org/W1559076256","https://openalex.org/W1608622078","https://openalex.org/W1636043504","https://openalex.org/W1676180097","https://openalex.org/W1937795883","https://openalex.org/W1964391071","https://openalex.org/W1967511039","https://openalex.org/W1967808697","https://openalex.org/W1967820519","https://openalex.org/W1968266296","https://openalex.org/W1969602687","https://openalex.org/W1983412113","https://openalex.org/W1987667184","https://openalex.org/W1989930562","https://openalex.org/W1994701398","https://openalex.org/W1994925058","https://openalex.org/W2001005400","https://openalex.org/W2010525134","https://openalex.org/W2015090393","https://openalex.org/W2023918104","https://openalex.org/W2024615096","https://openalex.org/W2028272816","https://openalex.org/W2030674998","https://openalex.org/W2036462000","https://openalex.org/W2040221095","https://openalex.org/W2045300586","https://openalex.org/W2045997578","https://openalex.org/W2047249721","https://openalex.org/W2057537725","https://openalex.org/W2057918012","https://openalex.org/W2059180391","https://openalex.org/W2060035405","https://openalex.org/W2060165444","https://openalex.org/W2061150725","https://openalex.org/W2061925588","https://openalex.org/W2067934443","https://openalex.org/W2088552405","https://openalex.org/W2095629646","https://openalex.org/W2099155179","https://openalex.org/W2102995898","https://openalex.org/W2104452979","https://openalex.org/W2110893343","https://openalex.org/W2122621460","https://openalex.org/W2124868162","https://openalex.org/W2129339508","https://openalex.org/W2136074163","https://openalex.org/W2159000095","https://openalex.org/W2169559280","https://openalex.org/W2326802821","https://openalex.org/W2610315915","https://openalex.org/W2910234278","https://openalex.org/W2978054031","https://openalex.org/W4207080468","https://openalex.org/W4239816899","https://openalex.org/W4250620913","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2057918012","https://openalex.org/W1977758064","https://openalex.org/W2032421803","https://openalex.org/W2122621460","https://openalex.org/W2024615096","https://openalex.org/W2279254003","https://openalex.org/W2964329161","https://openalex.org/W2007458019","https://openalex.org/W7098240298","https://openalex.org/W7100074047"],"abstract_inverted_index":{"In":[0,104],"this":[1],"study,":[2],"we":[3,73],"examine":[4],"introductory":[5,37,102,201],"physics":[6,22,38,286],"students'":[7],"ability":[8],"to":[9,51,67,98,106,119,153,162,168,189,205,216,235,270,279],"perform":[10],"analogical":[11],"reasoning":[12],"between":[13],"two":[14,83],"isomorphic":[15,70,130],"problems":[16],"which":[17,48,92],"employ":[18],"the":[19,45,75,86,107,125,129,165,172,177,181,191,209,228,232,236,242,250,253,256,285],"same":[20],"underlying":[21,126,245],"principles":[23,179,192,229,287],"but":[24],"have":[25],"different":[26],"surface":[27],"features.":[28],"382":[29],"students":[30,110,140,159,202,224,272],"from":[31,53,65,95,149,164,275],"a":[32,42,54,150,154,276,280,291],"calculus-based":[33],"and":[34,58,123,132,175,213,248,283],"an":[35,260],"algebra-based":[36],"course":[39],"were":[40,117,160,185],"administered":[41],"quiz":[43,76,87,133,182,237],"in":[44,47,144,180,203,207,231,255,259,273],"recitation":[46],"they":[49,63,147,184,211],"had":[50,141,212],"learn":[52,163],"solved":[55,79,108,131,166,233],"problem":[56,71,80,88,152,167,234,238,278,282],"provided":[57,81,174],"take":[59],"advantage":[60],"of":[61,128,252],"what":[62,146],"learned":[64,148],"it":[66],"solve":[68],"another":[69],"(which":[72],"call":[74],"problem).":[77],"The":[78,135,220],"has":[82,89],"subproblems":[84],"while":[85],"three":[90],"subproblems,":[91],"is":[93,268],"known":[94],"previous":[96],"research":[97],"be":[99],"challenging":[100],"for":[101,295],"students.":[103],"addition":[105],"problem,":[109,183],"also":[111,195],"received":[112],"extra":[113],"scaffolding":[114,173,267],"supports":[115],"that":[116,139,223,265],"intended":[118],"help":[120,271],"them":[121],"discern":[122],"exploit":[124],"similarities":[127],"problems.":[134],"data":[136],"analysis":[137],"suggests":[138],"great":[142],"difficulty":[143],"transferring":[145,274],"two-step":[151,277],"three-step":[155,281],"problem.":[156],"Although":[157],"most":[158],"able":[161,188],"some":[169],"extent":[170],"with":[171,199],"invoke":[176],"relevant":[178],"not":[186],"necessarily":[187,240],"apply":[190],"correctly.":[193],"We":[194,289],"conducted":[196],"think-aloud":[197],"interviews":[198,221],"six":[200],"order":[204],"understand":[206],"depth":[208],"difficulties":[210],"explore":[214],"strategies":[215,294],"provide":[217],"better":[218],"scaffolding.":[219],"suggest":[222,264],"often":[225],"superficially":[226],"mapped":[227],"employed":[230],"without":[239],"understanding":[241],"governing":[243],"conditions":[244],"each":[246],"principle":[247,254],"examining":[249],"applicability":[251],"new":[257],"situation":[258],"in-depth":[261],"manner.":[262],"Findings":[263],"more":[266],"needed":[269],"applying":[284],"appropriately.":[288],"outline":[290],"few":[292],"possible":[293],"future":[296],"investigation.":[297]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2016-06-24T00:00:00"}
