Intuitive Generalizations

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dc.contributor.author Hamdan, May
dc.date.accessioned 2016-04-25T12:10:19Z
dc.date.available 2016-04-25T12:10:19Z
dc.date.copyright 2012
dc.date.issued 2016-04-25
dc.identifier.issn 0973-5631 en_US
dc.identifier.uri http://hdl.handle.net/10725/3647
dc.description.abstract When learners are able to abstract the properties of a concept and apply them onto a different context, or raise them to a higher dimension, then this is an indication of a firm understanding of that concept. This process is natural to Mathematicians and to Mathematics instructors who assume that it is obvious to students at any stage of learning. The transfer of mathematical concepts, ideas and procedures to a new and unanticipated situation or domain involves high cognitive skills: when mathematicians suspect a similarity between two domains, they are conjecturing or selecting a set of logical relationships, extracting them from a domain, and mapping them onto another seemingly remote area: all this is achieved in what looks like an instinctive natural self-evident manner. In this article, I shed the light on selected cases of intuitive generalizations in Calculus, Geometry and Discrete Mathematical Structures and suggest that students intuitive scope can be widened if they are constantly guided to focus on the generalization itself and what made it happen, more so than on the result being generalized. en_US
dc.language.iso en en_US
dc.title Intuitive Generalizations en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 199829020 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Far East Journal of Mathematical Education en_US
dc.journal.volume 9 en_US
dc.journal.issue 2 en_US
dc.article.pages 161-168 en_US
dc.keywords Abstraction en_US
dc.keywords Intuition en_US
dc.keywords Generalization en_US
dc.keywords Domain specific en_US
dc.identifier.ctation Hamdan M. (2012). Intuitive Generalizations. Far East Journal of Math Education, 9(2), 161-168. en_US
dc.author.email mhamdan@lau.edu.lb
dc.identifier.url http://www.pphmj.com/abstract/7119.htm en_US

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