{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,24]],"date-time":"2025-12-24T12:41:49Z","timestamp":1766580109802,"version":"3.37.3"},"reference-count":76,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2019]]},"DOI":"10.1109\/access.2019.2892742","type":"journal-article","created":{"date-parts":[[2019,1,14]],"date-time":"2019-01-14T19:45:37Z","timestamp":1547495137000},"page":"17941-17950","source":"Crossref","is-referenced-by-count":22,"title":["Paradoxical Simulations to Enhance Education in Mathematics"],"prefix":"10.1109","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4475-5451","authenticated-orcid":false,"given":"Kang Hao","family":"Cheong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jin Ming","family":"Koh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Darren J.","family":"Yeo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zong Xuan","family":"Tan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Brenda Oon Eng","family":"Boo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guan Ying","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4655(78)90080-2"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4655(95)00015-8"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4655(90)90032-V"},{"key":"ref70","doi-asserted-by":"crossref","DOI":"10.1038\/srep37028","article-title":"Effects of behavioral patterns and network topology structures on Parrondo&#x2019;s paradox","volume":"6","author":"ye","year":"2016","journal-title":"Sci Rep"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2017.2668840"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2013.2286202"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.2015.0444"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2017.2736165"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2004.11.020"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1142\/S0219477510000010"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1142\/S0219477502000701"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2003.11.015"},{"key":"ref30","first-page":"24","article-title":"St. Petersburg paradoxes: Defanged, dissected, and historically described","volume":"15","author":"samuelson","year":"1977","journal-title":"J Econ Literature"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1534\/genetics.106.069997"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.220601"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1038\/370446a0"},{"key":"ref34","first-page":"1635","article-title":"Drift induced by a spatially periodic potential of low symmetry-pulsed dielectrophoresis","volume":"315","author":"ajdari","year":"1993","journal-title":"Compte Rendus Acad Sci"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.5226"},{"key":"ref62","article-title":"A microsoft excel version of Parrondo&#x2019;s paradox","author":"barreto","year":"2009","journal-title":"Social Science Research Network"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1142\/S021947750100007X"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1142\/S0219024998000217"},{"key":"ref28","first-page":"1","article-title":"Introducing queuing theory through simulations","author":"soon","year":"2013","journal-title":"The 9th Delta Conference on teaching and learning of undergraduate mathematics and statistics"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1063\/1.1395623"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.7717\/peerj-cs.100"},{"key":"ref65","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1038\/378465a0","article-title":"Taming spatiotemporal chaos with disorder","volume":"378","author":"braiman","year":"1995","journal-title":"Nature"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.024103"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1038\/47220"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.79.829"},{"key":"ref68","first-page":"17","article-title":"A Parrondo paradox in reliability theory","volume":"32","author":"di crescenzo","year":"2007","journal-title":"Math Sci"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.78.066209"},{"key":"ref2","first-page":"1","article-title":"On the use of paradoxes in the teaching of probability","author":"leviatan","year":"2002","journal-title":"Proc ICOTS"},{"key":"ref1","first-page":"1","article-title":"Teaching mathematics via problem solving: The case of probability","author":"leviatan","year":"2015","journal-title":"Proc 3rd East Asia Conf Math Educ (EARCOME)"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1177\/1046878102238607"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1080\/10691898.2002.11910548"},{"key":"ref21","first-page":"37","article-title":"Simulations: Bringing the benefits of situated learning to the traditional classroom","volume":"3","author":"lunce","year":"2006","journal-title":"J Appl Educ Technol"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2851748"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TLT.2009.18"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2873815"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1038\/srep14108"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(02)01084-1"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(02)01909-X"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127414500084"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.040603"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1063\/1.1397769"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/j.elspec.2018.05.009"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.87.042119"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(02)01088-5"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1142\/S0219477502000920"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1023\/A:1014566822448"},{"key":"ref10","first-page":"102","article-title":"Experiences using paradoxes as a didactic tool for the teaching of probability and statistics","author":"parra-ar\u00e9valo","year":"2015","journal-title":"Proc 8th Int Conf Educ Res Innov (ICERI)"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s11229-008-9455-y"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1038\/srep34889"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9639.00005"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9639.2005.00190.x"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.2307\/2284382"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.2307\/2684093"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0120638"},{"key":"ref17","article-title":"Making sense of probability through paradox and programming: Rethinking the roles of technology in learning","author":"wilensky","year":"1996","journal-title":"Constructionism in Practice Rethinking the Roles of Technology in Learning"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/WSC.2007.4419875"},{"key":"ref19","first-page":"1","article-title":"Teachers beliefs about usefulness of simulations with the educational software Fathom for developing probability concepts in statistics classroom","author":"s\u00e1nchez","year":"2002","journal-title":"Proc 6th Int Conf Teach Statist"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF00385927"},{"key":"ref3","article-title":"Strategies and principles of problem solving in probability","author":"leviatan","year":"2010","journal-title":"Proc 8th Int Conf Teaching Statist 8"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0732-3123(95)90010-1"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00305093"},{"key":"ref8","article-title":"Engaging the intuition in statistics to motivate","author":"lesser","year":"2006","journal-title":"Proc 50th Nat Adv Placement Conf"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1080\/10691898.2001.11910647"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.96.062303"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9639.1998.tb00750.x"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412502586"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2017.10.009"},{"key":"ref48","first-page":"519","article-title":"Some remarks and examples concerning the transience and recurrence of random diffusions","volume":"28","author":"pinsky","year":"1992","journal-title":"Ann Inst Henri Poincare&#x00B4"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.58.1038"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2017.12.012"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.7554\/eLife.21673"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.1806485115"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-018-4436-2"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/8600701\/08611076.pdf?arnumber=8611076","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,27]],"date-time":"2022-01-27T08:24:10Z","timestamp":1643271850000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8611076\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"references-count":76,"URL":"https:\/\/doi.org\/10.1109\/access.2019.2892742","relation":{},"ISSN":["2169-3536"],"issn-type":[{"type":"electronic","value":"2169-3536"}],"subject":[],"published":{"date-parts":[[2019]]}}}