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In fact, in this type of situation, prior knowledge guides spontaneous representations, and the \u201cerrors\u201d observed could be explained by the activation of \u201cimplicit models\u201d which form the basis of erroneous representations. 42 statistically na\u00efve undergraduates were given several variants of a probability problem on which errors are common. In a learning phase, subjects were given four problems involving geometric figures which were pairwise related by complementarity and equivalence relations. In a subsequent transfer phase, they were given a fifth problem involving poker chips, which was structurally isomorphic to the fourth geometric-figures problem. The findings show that people do not realize the relations between problems, and that transfer occurred only for the subset of subjects who performed correctly on the training problems of the learning phase. These results appear to have some significant implications in teaching mathematical concepts.<\/jats:p>","DOI":"10.2466\/pr0.94.1.151-162","type":"journal-article","created":{"date-parts":[[2005,12,29]],"date-time":"2005-12-29T04:29:48Z","timestamp":1135830588000},"page":"151-162","source":"Crossref","is-referenced-by-count":3,"title":["Failure to Construct and Transfer Correct Representations across Probability Problems"],"prefix":"10.1177","volume":"94","author":[{"given":"Marie-Paule","family":"Lecoutre","sequence":"first","affiliation":[{"name":"Universit\u00e9 de Rouen"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Evelyne","family":"Cl\u00e9ment","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Rouen"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bruno","family":"Lecoutre","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Rouen"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2004,2,1]]},"reference":[{"key":"bibr1-pr0.94.1.151-162","volume-title":"Publication manual of the American Psychological Association","author":"American Psychological Association","year":"2001","edition":"5"},{"key":"bibr2-pr0.94.1.151-162","doi-asserted-by":"publisher","DOI":"10.1214\/ss\/1009213286"},{"key":"bibr3-pr0.94.1.151-162","first-page":"1083","volume-title":"Statistical education: Expanding the network","volume":"1","author":"delMas R.","year":"1998"},{"key":"bibr4-pr0.94.1.151-162","doi-asserted-by":"publisher","DOI":"10.1016\/0010-0277(92)90012-7"},{"key":"bibr5-pr0.94.1.151-162","volume-title":"Intuition in science and mathematics: An educational approach","author":"Fischbein E.","year":"1987"},{"key":"bibr6-pr0.94.1.151-162","first-page":"9","volume":"9","author":"Fischbein E.","year":"1989","journal-title":"For the Learning of Mathematics"},{"key":"bibr7-pr0.94.1.151-162","first-page":"97","volume-title":"Implicit and explicit knowledge: An educational approach","author":"Fischbein E.","year":"1994"},{"key":"bibr8-pr0.94.1.151-162","doi-asserted-by":"publisher","DOI":"10.2307\/748969"},{"key":"bibr9-pr0.94.1.151-162","doi-asserted-by":"publisher","DOI":"10.1023\/A:1002914202652"},{"key":"bibr10-pr0.94.1.151-162","doi-asserted-by":"publisher","DOI":"10.2307\/749665"},{"key":"bibr11-pr0.94.1.151-162","first-page":"167","volume-title":"Cognitive theory","author":"Hayes J. 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