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Direct linkLake, Brenden M.; Lawrence, Neil D.; Tenenbaum, Joshua B. – Cognitive Science, 2018
Both scientists and children make important structural discoveries, yet their computational underpinnings are not well understood. Structure discovery has previously been formalized as probabilistic inference about the right structural form--where form could be a tree, ring, chain, grid, etc. (Kemp & Tenenbaum, 2008). Although this approach…
Descriptors: Discovery Learning, Intuition, Bias, Computation
Download full textSophian, Catherine; Madrid, Samara – International Group for the Psychology of Mathematics Education, 2003
To examine how conceptual knowledge about fraction magnitudes changes as students' learning progresses, 5th and 7th-grade students were asked to solve fraction magnitude problems that entailed finding a fraction between two given fractions and then to evaluate solutions for similar problems that were modeled for them. When the given fractions…
Descriptors: Grade 7, Grade 5, Mathematics, Mathematical Models
Stehlikova, Nada – International Group for the Psychology of Mathematics Education, 2003
In the study, a part of longitudinal research focused on the emergence of mathematical knowledge structures in a learner's mind is presented. It concentrates on the analysis of introspective data gained from the author's study of a non-standard arithmetic structure in terms of the model of abstraction in context (Hershkowitz, Schwarz and Dreyfus).…
Descriptors: Mathematics Education, Longitudinal Studies, Models, Interviews
