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A case study of a young child doing Turtle Graphics in LOGO. Proceedings of the June 7\u201310, 1976, national computer conference and exposition. ACM; 1976. pp. 1049\u20131056. <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/dl.acm.org\/citation.cfm?id=1499945\" xlink:type=\"simple\">http:\/\/dl.acm.org\/citation.cfm?id=1499945<\/ext-link>"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1016\/0004-3702(88)90039-2","article-title":"A process-grammar for shape","volume":"34","author":"M Leyton","year":"1988","journal-title":"Artif Intell"},{"key":"ref43","article-title":"A generative theory of shape","author":"M Leyton","year":"2001"},{"key":"ref44","article-title":"An Introduction to Kolmogorov Complexity and Its Applications","author":"M Li","year":"2013"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"1523","DOI":"10.1109\/TIT.2005.844059","article-title":"Clustering by compression","volume":"51","author":"R Cilibrasi","year":"2005","journal-title":"IEEE Trans Inf Theory"},{"key":"ref46","article-title":"ArXiv Prepr Math0406077","author":"P Grunwald","year":"2004"},{"key":"ref47","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/s00426-006-0098-7","article-title":"Response times seen as decompression times in Boolean concept use","volume":"72","author":"J Bradmetz","year":"2006","journal-title":"Psychol Res"},{"key":"ref48","doi-asserted-by":"crossref","first-page":"346","DOI":"10.1016\/j.cognition.2011.11.003","article-title":"What\u2019s magic about magic numbers? Chunking and data compression in short-term memory","volume":"122","author":"F Mathy","year":"2012","journal-title":"Cognition"},{"key":"ref49","doi-asserted-by":"crossref","DOI":"10.3389\/fpsyg.2016.00201","article-title":"Developmental Abilities to Form Chunks in Immediate Memory and Its Non-Relationship to Span Development","volume":"7","author":"F Mathy","year":"2016","journal-title":"Front Psychol"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1046\/j.0963-7214.2003.01267.x","article-title":"The simplicity principle in human concept learning","volume":"12","author":"J Feldman","year":"2003","journal-title":"Curr Dir Psychol Sci"},{"key":"ref51","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1038\/35036586","article-title":"Minimization of Boolean complexity in human concept learning","volume":"407","author":"J Feldman","year":"2000","journal-title":"Nature"},{"key":"ref52","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1037\/h0055809","article-title":"A quantitative approach, to figural \u201cgoodness\u201d","volume":"46","author":"J Hochberg","year":"1953","journal-title":"J Exp Psychol"},{"key":"ref53","doi-asserted-by":"crossref","first-page":"9782","DOI":"10.1073\/pnas.1016686108","article-title":"Flexible intuitions of Euclidean geometry in an Amazonian indigene group","volume":"108","author":"V Izard","year":"2011","journal-title":"Proc Natl Acad Sci"},{"key":"ref54","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1126\/science.1102085","article-title":"Exact and Approximate Arithmetic in an Amazonian Indigene Group","volume":"306","author":"P Pica","year":"2004","journal-title":"Science"},{"key":"ref55","first-page":"31","article-title":"Visualization, explanation and reasoning styles in mathematics","author":"M Giaquinto","year":"2005"},{"key":"ref56","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.visres.2009.09.024","article-title":"New approach to the perception of 3D shape based on veridicality, complexity, symmetry and volume","volume":"50","author":"Z Pizlo","year":"2010","journal-title":"Vision Res"},{"key":"ref57","doi-asserted-by":"crossref","first-page":"2007","DOI":"10.1098\/rstb.2012.0098","article-title":"Production and perception rules underlying visual patterns: effects of symmetry and hierarchy","volume":"367","author":"G Westphal-Fitch","year":"2012","journal-title":"Philos Trans R Soc B Biol Sci"},{"key":"ref58","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1167\/9.12.11","article-title":"The role of vertical mirror symmetry in visualshape detection","volume":"9","author":"B Machilsen","year":"2009","journal-title":"J Vis"},{"key":"ref59","doi-asserted-by":"crossref","first-page":"743","DOI":"10.1111\/j.1467-7687.2008.00724.x","article-title":"Children\u2019s use of geometry for reorientation","volume":"11","author":"SA Lee","year":"2008","journal-title":"Dev Sci"},{"key":"ref60","unstructured":"The Internet Classics Archive | Meno by Plato [Internet]. [cited 7 Apr 2016]. <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/classics.mit.edu\/Plato\/meno.html\" xlink:type=\"simple\">http:\/\/classics.mit.edu\/Plato\/meno.html<\/ext-link>"},{"key":"ref61","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1111\/j.1751-228X.2011.01126.x","article-title":"From ancient Greece to modern education: Universality and lack of generalization of the Socratic dialogue","volume":"5","author":"AP Goldin","year":"2011","journal-title":"Mind Brain Educ"},{"key":"ref62","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.conb.2009.02.002","article-title":"Doing Socrates experiment right: controlled rearing studies of geometrical knowledge in animals","volume":"19","author":"G Vallortigara","year":"2009","journal-title":"Curr Opin Neurobiol"},{"key":"ref63","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1080\/15250000701795572","article-title":"The Representation of Geometric Cues in Infancy","volume":"13","author":"SF Lourenco","year":"2008","journal-title":"Infancy"},{"key":"ref64","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1016\/0010-0285(73)90020-0","article-title":"Empirical tests of a theory of human acquisition of concepts for sequential patterns","volume":"4","author":"K Kotovsky","year":"1973","journal-title":"Cognit Psychol"},{"key":"ref65","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1037\/h0032272","article-title":"Serial patterns: The role of phrasing","volume":"92","author":"F Restle","year":"1972","journal-title":"J Exp Psychol"},{"key":"ref66","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1037\/h0034751","article-title":"Serial pattern learning: Higher order transitions","volume":"99","author":"F Restle","year":"1973","journal-title":"J Exp Psychol"},{"key":"ref67","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1037\/h0033619","article-title":"Tracking of serial patterns","volume":"95","author":"F Restle","year":"1972","journal-title":"J Exp Psychol"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1037\/h0093825","article-title":"Learning and memorization of classifications","volume":"75","author":"RN Shepard","year":"1961","journal-title":"Psychol Monogr Gen Appl"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1005273","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2017,2,13]],"date-time":"2017-02-13T00:00:00Z","timestamp":1486944000000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1005273","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,10,23]],"date-time":"2018-10-23T17:18:10Z","timestamp":1540315090000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1005273"}},"subtitle":[],"editor":[{"given":"Randy","family":"Gallistel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2017,1,26]]},"references-count":68,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2017,1,26]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1005273","relation":{"new_version":[{"id-type":"doi","id":"10.1371\/journal.pcbi.1005273","asserted-by":"object"}]},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,26]]}}}