{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T12:16:43Z","timestamp":1774441003680,"version":"3.50.1"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030115470","type":"print"},{"value":"9783030115487","type":"electronic"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-11548-7_15","type":"book-chapter","created":{"date-parts":[[2019,1,20]],"date-time":"2019-01-20T21:53:52Z","timestamp":1548021232000},"page":"157-166","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Extending a Digital Fraction Game Piece by Piece with Physical Manipulatives"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2838-6892","authenticated-orcid":false,"given":"Kristian","family":"Kiili","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9755-1057","authenticated-orcid":false,"given":"Antti","family":"Koskinen","sequence":"additional","affiliation":[]},{"given":"Antero","family":"Lindstedt","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4664-8430","authenticated-orcid":false,"given":"Manuel","family":"Ninaus","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,1,22]]},"reference":[{"key":"15_CR1","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1016\/j.compedu.2016.09.001","volume":"102","author":"T Hainey","year":"2016","unstructured":"Hainey, T., Connolly, T.M., Boyle, E.A., Wilson, A., Razak, A.: A systematic literature review of games-based learning empirical evidence in primary education. Comput. Educ. 102, 202\u2013223 (2016)","journal-title":"Comput. Educ."},{"issue":"2","key":"15_CR2","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1037\/a0031311","volume":"105","author":"P Wouters","year":"2013","unstructured":"Wouters, P., Van Nimwegen, C., Van Oostendorp, H., Van Der Spek, E.D.: A meta-analysis of the cognitive and motivational effects of serious games. J. Educ. Psychol. 105(2), 249\u2013265 (2013)","journal-title":"J. Educ. Psychol."},{"issue":"10","key":"15_CR3","doi-asserted-by":"publisher","first-page":"e0165243","DOI":"10.1371\/journal.pone.0165243","volume":"11","author":"LK Fazio","year":"2016","unstructured":"Fazio, L.K., Kennedy, C.A., Siegler, R.S.: Improving children\u2019s knowledge of fraction magnitudes. PLoS ONE 11(10), e0165243 (2016)","journal-title":"PLoS ONE"},{"key":"15_CR4","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.compedu.2018.01.012","volume":"120","author":"K Kiili","year":"2018","unstructured":"Kiili, K., Moeller, K., Ninaus, M.: Evaluating the effectiveness of a game-based rational number training-In-game metrics as learning indicators. Comput. Educ. 120, 13\u201328 (2018)","journal-title":"Comput. Educ."},{"issue":"4","key":"15_CR5","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1177\/1555412013496894","volume":"8","author":"MM Riconscente","year":"2013","unstructured":"Riconscente, M.M.: Results from a controlled study of the iPad fractions game Motion Math. Games Cult. 8(4), 186\u2013214 (2013)","journal-title":"Games Cult."},{"key":"15_CR6","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.learninstruc.2013.12.004","volume":"37","author":"J McMullen","year":"2014","unstructured":"McMullen, J., Laakkonen, E., Hannula-Sormunen, M., Lehtinen, E.: Modeling the developmental trajectories of rational number concept(s). Learn. Instr. 37, 14\u201320 (2014)","journal-title":"Learn. Instr."},{"key":"15_CR7","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/j.learninstruc.2014.03.004","volume":"37","author":"J Hoof Van","year":"2015","unstructured":"Van Hoof, J., Vandewalle, J., Verschaffel, L., Van Dooren, W.: In search for the natural number bias in secondary school students\u2019 interpretation of the effect of arithmetical operations. Learn. Instr. 37, 30\u201338 (2015)","journal-title":"Learn. Instr."},{"key":"15_CR8","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.tics.2012.11.004","volume":"17","author":"RS Siegler","year":"2013","unstructured":"Siegler, R.S., Fazio, L.K., Bailey, D.H., Zhou, X.: Fractions: the new frontier for theories of numerical development. Trends Cogn. Sci. 17, 13\u201319 (2013)","journal-title":"Trends Cogn. Sci."},{"key":"15_CR9","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.learninstruc.2014.07.002","volume":"37","author":"M DeWolf","year":"2015","unstructured":"DeWolf, M., Vosniadou, S.: The representation of fraction magnitudes and the whole number bias reconsidered. Learn. Instr. 37, 39\u201349 (2015)","journal-title":"Learn. Instr."},{"issue":"1","key":"15_CR10","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1207\/s15326985ep4001_3","volume":"40","author":"Y Ni","year":"2005","unstructured":"Ni, Y., Zhou, Y.-D.: Teaching and learning fraction and rational numbers: the origins and implications of whole number bias. Educ. Psychol. 40(1), 27\u201352 (2005)","journal-title":"Educ. Psychol."},{"key":"15_CR11","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/j.learninstruc.2015.01.003","volume":"37","author":"MW Alibali","year":"2015","unstructured":"Alibali, M.W., Sidney, P.G.: Variability in the natural number bias: who, when, how, and why. Learn. Instr. 37, 56\u201361 (2015)","journal-title":"Learn. Instr."},{"issue":"5","key":"15_CR12","doi-asserted-by":"publisher","first-page":"503","DOI":"10.1016\/j.learninstruc.2004.06.015","volume":"14","author":"S Stafylidou","year":"2004","unstructured":"Stafylidou, S., Vosniadou, S.: The development of students\u2019 understanding of the numerical value of fractions. Learn. Instr. 14(5), 503\u2013518 (2004)","journal-title":"Learn. Instr."},{"issue":"2\u20133","key":"15_CR13","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1080\/00461520.1998.9653294","volume":"33","author":"JA Dole","year":"1998","unstructured":"Dole, J.A., Sinatra, G.M.: Reconceptalizing change in the cognitive construction of knowledge. Educ. Psychol. 33(2\u20133), 109\u2013128 (1998)","journal-title":"Educ. Psychol."},{"key":"15_CR14","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/S0959-4752(00)00037-2","volume":"11","author":"M Limn","year":"2001","unstructured":"Limn, M.: On the cognitive conflict as an instructional strategy for conceptual change: a critical appraisal. Learn. Instr. 11, 357\u2013380 (2001)","journal-title":"Learn. Instr."},{"key":"15_CR15","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1016\/j.learninstruc.2004.06.016","volume":"14","author":"K Merenluoto","year":"2004","unstructured":"Merenluoto, K., Lehtinen, E.: Number concept and conceptual change: towards a systematic model of the processes of change. Learn. Instr. 14, 519\u2013534 (2004)","journal-title":"Learn. Instr."},{"key":"15_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1007\/978-3-319-71940-5_1","volume-title":"Games and Learning Alliance","author":"M Ninaus","year":"2017","unstructured":"Ninaus, M., Kiili, K., Siegler, R.S., Moeller, K.: Data-driven design decisions to improve game-based learning of fractions. In: Dias, J., Santos, P.A., Veltkamp, R.C. (eds.) GALA 2017. LNCS, vol. 10653, pp. 3\u201313. Springer, Cham (2017). \n                      https:\/\/doi.org\/10.1007\/978-3-319-71940-5_1"},{"issue":"2","key":"15_CR17","doi-asserted-by":"publisher","first-page":"380","DOI":"10.1037\/a0031084","volume":"105","author":"KJ Carbonneau","year":"2013","unstructured":"Carbonneau, K.J., Marley, S.C., Selig, J.P.: A meta-analysis of the efficacy of teaching mathematics with concrete manipulatives. J. Educ. Psychol. 105(2), 380\u2013400 (2013)","journal-title":"J. Educ. Psychol."}],"container-title":["Lecture Notes in Computer Science","Games and Learning Alliance"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-11548-7_15","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T06:16:16Z","timestamp":1558332976000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-11548-7_15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030115470","9783030115487"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-11548-7_15","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"22 January 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GALA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Games and Learning Alliance","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Palermo","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Italy","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 December 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7 December 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gala2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/conf.seriousgamessociety.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"Easychair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"65","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"38","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"9","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"58% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"2","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}}]}}