Prof. Robert Goldstone (Indiana University Bloomington, USA)
16.03.2020 – 14.00 – (lecture, followed by an extended discussion)
RUB, GA 04\/187 (Mercatorraum)<\/p>\n\n\n\n
Abstract:
<\/p>\n\n\n\n
By one account,\nformal thought in mathematics and science requires developing deep construals\nthat run counter to perception. This approach draws an opposition between\nsuperficial perception and principled understanding. In this talk,\nI advocate the converse strategy of grounding scientific and mathematical\nreasoning in perception and action. Relatively sophisticated\nreasoning is typically achieved not by ignoring perception, but rather by\nadapting perception and action routines so as to conform with and support\nformally sanctioned responses. Perception and action are more\nsophisticated than usually thought, particularly because they can be adapted to\ndo the (cognitive) Right Thing.<\/p>\n\n\n\n
The first case\nstudy for this thesis concerns arithmetic and algebraic reasoning, where we\nfind that mathematical proficiency involves executing spatially explicit\ntransformations to notational elements. People learn to attend mathematical\noperations in the order in which they should be executed, and the extent to\nwhich students employ their perceptual attention in this manner is positively\ncorrelated with their mathematical experience. People also produce\nmathematical notations that they are good at reading. Based on\nobservations like these, we have begun to design, implement, and assess\nvirtual, interactive sandboxes for students to explore algebra.<\/p>\n\n\n\n
The second case\nstudy involves students learning about science by exploring\nsimulations. We have developed a computational model of the process\nby which human learners discover patterns in natural phenomena. Our\napproach to modeling how people learn about a system by interacting with it\nfollows three core design principles: 1) perceptual grounding, 2) experimental\nintervention, and 3) cognitively plausible heuristics for determining relations\nbetween simulation elements. In contrast to the majority of existing\nmodels of scientific discovery in which inputs are presented as symbolic, often\nnumerically quantified, structured representations, our model takes as input\nperceptually grounded, spatio-temporal movies of simulated natural phenomena.<\/p>\n","protected":false},"excerpt":{"rendered":"
Prof. Robert Goldstone (Indiana University Bloomington, USA)16.03.2020 – 14.00 – (lecture, followed by an extended discussion)RUB, GA 04\/187 (Mercatorraum) Abstract: By one account, formal thought in mathematics and science requires […]<\/p>\n","protected":false},"author":3,"featured_media":1321,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[2],"tags":[],"pub_author":[],"post_folder":[197],"class_list":["post-1320","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"_links":{"self":[{"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/posts\/1320","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/comments?post=1320"}],"version-history":[{"count":3,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/posts\/1320\/revisions"}],"predecessor-version":[{"id":1324,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/posts\/1320\/revisions\/1324"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/media\/1321"}],"wp:attachment":[{"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/media?parent=1320"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/categories?post=1320"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/tags?post=1320"},{"taxonomy":"pub_author","embeddable":true,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/pub_author?post=1320"},{"taxonomy":"post_folder","embeddable":true,"href":"https:\/\/philosophy-cognition.com\/cmc\/wp-json\/wp\/v2\/post_folder?post=1320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}