{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,7]],"date-time":"2026-10-07T02:17:25Z","timestamp":1791339445378,"version":"4.3.1"},"reference-count":52,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2022,9,13]],"date-time":"2022-09-13T00:00:00Z","timestamp":1663027200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000155","name":"Social Sciences and Humanities Research Council of Canada","doi-asserted-by":"publisher","award":["Banting Postdoctoral Fellowship Program"],"award-info":[{"award-number":["Banting Postdoctoral Fellowship Program"]}],"id":[{"id":"10.13039\/501100000155","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000155","name":"social sciences and humanities research council of canada","doi-asserted-by":"publisher","award":["435-2015-2002"],"award-info":[{"award-number":["435-2015-2002"]}],"id":[{"id":"10.13039\/501100000155","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Learning Disability Quarterly"],"published-print":{"date-parts":[[2023,5]]},"abstract":"<jats:p>We investigated the effect of conceptual transparency in the physical structure of manipulatives on place-value understanding in typically developing children and those at risk for mathematics learning disabilities. Second graders were randomly assigned to one of three manipulatives conditions: (a) attachable beads that did not make the denominations or ones in the denominations transparent, (b) pipe cleaners that made only the denominations transparent, and (c) string beads that made both the denominations and the ones in the denominations transparent. Participants used the manipulatives to represent double- and triple-digit numerals. Statistical analyses indicated that the transparency of the denominations, but not the transparency of the ones in the denominations, is responsible for children\u2019s number representation and place-value understanding. Descriptive analyses of their responses revealed that the at-risk children were at a greater disadvantage than their typically developing peers with the attachable beads, failing to use place-value concepts to interpret their representations.<\/jats:p>","DOI":"10.1177\/07319487221124088","type":"journal-article","created":{"date-parts":[[2022,9,13]],"date-time":"2022-09-13T08:41:02Z","timestamp":1663058462000},"page":"92-105","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":9,"title":["Does Conceptual Transparency in Manipulatives Afford Place-Value Understanding in Children at Risk for Mathematics Learning Disabilities?"],"prefix":"10.1177","volume":"46","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3344-5463","authenticated-orcid":false,"given":"Anne","family":"Lafay","sequence":"first","affiliation":[{"name":"Universit\u00e9 Savoie Mont-Blanc, CNRS, LPNC UMR 5105, Chamb\u00e9ry, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Helena P.","family":"Osana","sequence":"additional","affiliation":[{"name":"Concordia University, Montreal, Quebec, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joel R.","family":"Levin","sequence":"additional","affiliation":[{"name":"The University of Arizona, Tucson, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2022,9,13]]},"reference":[{"key":"bibr1-07319487221124088","volume-title":"Developing essential understandings of rational numbers for teaching mathematics in grades 3\u20135","author":"Barnett-Clarke C.","year":"2010"},{"key":"bibr2-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1037\/a0031084"},{"key":"bibr3-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.cedpsych.2017.07.001"},{"key":"bibr4-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1145\/2485760.2485834"},{"key":"bibr5-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1037\/dev0001145"},{"issue":"3","key":"bibr6-07319487221124088","first-page":"1","volume":"10","author":"Cobb P.","year":"1988","journal-title":"Focus on Learning Problems in Mathematics"},{"key":"bibr7-07319487221124088","volume-title":"Memory and the medial temporal region of the brain","author":"Corsi P. M.","year":"1972"},{"key":"bibr8-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1111\/ldrp.12107"},{"key":"bibr9-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1111\/desc.12135"},{"key":"bibr10-07319487221124088","volume-title":"Tempo Test Rekenen (TTR)","author":"De Vos T.","year":"1992"},{"key":"bibr11-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1177\/0731948719884921"},{"key":"bibr12-07319487221124088","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4324\/9781410610706","volume-title":"Mathematical and analogical reasoning of young learners","author":"English L. D.","year":"2004"},{"key":"bibr13-07319487221124088","doi-asserted-by":"publisher","DOI":"10.2307\/749640"},{"key":"bibr14-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1177\/0963721412469398"},{"key":"bibr15-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1207\/s15516709cog0702_3"},{"key":"bibr16-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-03129-8_3"},{"key":"bibr17-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1207\/s15516709cog1003_2"},{"key":"bibr18-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/0010-0285(83)90002-6"},{"key":"bibr19-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-97148-3_33"},{"key":"bibr20-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1006\/ceps.1997.0947"},{"key":"bibr21-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-5826.2007.00229.x"},{"key":"bibr22-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1037\/a0031040"},{"key":"bibr23-07319487221124088","first-page":"18","volume":"123","author":"Lafay A.","year":"2018","journal-title":"Glossa"},{"key":"bibr24-07319487221124088","first-page":"32","volume":"127","author":"Lafay A.","year":"2020","journal-title":"Glossa"},{"key":"bibr25-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/2142948"},{"key":"bibr26-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1177\/0022219416640783"},{"key":"bibr27-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.jecp.2018.09.008"},{"key":"bibr28-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.jecp.2009.03.006"},{"key":"bibr29-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.jecp.2008.12.006"},{"key":"bibr30-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1037\/0033-2909.115.1.153"},{"key":"bibr31-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1177\/0731948719892021"},{"key":"bibr32-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8624.2011.01608.x"},{"key":"bibr33-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.learninstruc.2008.03.005"},{"key":"bibr34-07319487221124088","volume-title":"Indices de d\u00e9favorisation","author":"Minist\u00e8re de l\u2019\u00c9ducation et de l\u2019Enseignement Sup\u00e9rieur","year":"2018"},{"key":"bibr35-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-00491-0_5"},{"key":"bibr36-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.ridd.2011.03.012"},{"key":"bibr37-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.jecp.2013.07.008"},{"key":"bibr38-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1037\/a0014813"},{"key":"bibr39-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1080\/00220671.1996.9941339"},{"key":"bibr40-07319487221124088","unstructured":"Nosworthy N. (2013). An investigation of the association between arithmetic achievement and symbolic and nonsymbolic magnitude processing in 5-9 year-old children: Evidence from a paper-and-pencil test [Unpublished doctoral dissertation]. Western University."},{"key":"bibr41-07319487221124088","volume-title":"American Educational Research Association Annual Meeting","author":"Osana H. P.","year":"2018"},{"key":"bibr42-07319487221124088","first-page":"201","volume-title":"Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education","author":"Osana H. P.","year":"2019"},{"key":"bibr43-07319487221124088","doi-asserted-by":"publisher","DOI":"10.5951\/AT.36.6.0047"},{"key":"bibr44-07319487221124088","volume-title":"Standard progressive matrices","author":"Raven J. C.","year":"1977"},{"key":"bibr45-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1002\/wcs.1336"},{"key":"bibr46-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1126\/science.1142103"},{"key":"bibr47-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1016\/j.cognition.2006.01.005"},{"key":"bibr48-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1177\/0731948716649754"},{"key":"bibr49-07319487221124088","doi-asserted-by":"publisher","DOI":"10.3389\/fpsyg.2016.02000"},{"key":"bibr50-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-7687.2007.00660.x"},{"key":"bibr51-07319487221124088","doi-asserted-by":"publisher","DOI":"10.1111\/mbe.12080"},{"key":"bibr52-07319487221124088","volume-title":"Wechsler intelligence scale for children","author":"Wechsler D.","year":"2014","edition":"5"}],"container-title":["Learning Disability Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/07319487221124088","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/07319487221124088","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/07319487221124088","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T20:18:04Z","timestamp":1777666684000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/07319487221124088"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,13]]},"references-count":52,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,5]]}},"alternative-id":["10.1177\/07319487221124088"],"URL":"https:\/\/doi.org\/10.1177\/07319487221124088","relation":{},"ISSN":["0731-9487","2168-376X"],"issn-type":[{"value":"0731-9487","type":"print"},{"value":"2168-376X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,13]]}}}