Trade‐Offs Between Grounded and Abstract Representations: Evidence From Algebra Problem Solving
Cognitive Science 32 (2):366-397 (2008)
Abstract
This article has no associated abstract. (fix it)Author's Profile
DOI
10.1080/03640210701863933
My notes
Similar books and articles
Interactive insight problem solving.Anna Weller, Gaëlle Villejoubert & Frédéric Vallée-Tourangeau - 2011 - Thinking and Reasoning 17 (4):424 - 439.
Medieval Arabic Algebra as an Artificial Language.Jeffrey A. Oaks - 2007 - Journal of Indian Philosophy 35 (5-6):543-575.
The emergence of symbolic algebra as a shift in predominant models.Albrecht Heeffer - 2008 - Foundations of Science 13 (2):149--161.
On the spontaneous discovery of a mathematical relation during problem solving.James A. Dixon & Ashley S. Bangert - 2004 - Cognitive Science 28 (3):433-449.
Pragma-Dialectical Analysis and Evaluation of Problem-Solving Discussion.M. A. van Rees - 2003 - Argumentation 17 (4):465-479.
Visual models in analogical problem solving.Jim Davies, Nancy J. Nersessian & Ashok K. Goel - 2005 - Foundations of Science 10 (1):133-152.
Augmenting Cognitive Architectures to Support Diagrammatic Imagination.Balakrishnan Chandrasekaran, Bonny Banerjee, Unmesh Kurup & Omkar Lele - 2011 - Topics in Cognitive Science 3 (4):760-777.
The nature of external representations in problem solving.Jiajie Zhang - 1997 - Cognitive Science 21 (2):179-217.
Relation Algebra Reducts of Cylindric Algebras and Complete Representations.Robin Hirsch - 2007 - Journal of Symbolic Logic 72 (2):673 - 703.
Problem Solving and Situated Cognition.David Kirsh - 2009 - In Philip Robbins & M. Aydede (eds.), The Cambridge Handbook of Situated Cognition. Cambridge: Cambridge University Press. pp. 264--306.
Problem Solving and Situated Cognition.David Kirsh - 2009 - The Cambridge Handbook of Situated Cognition:264-306.
Analytics
Added to PP
2013-11-21
Downloads
46 (#256,327)
6 months
1 (#449,844)
2013-11-21
Downloads
46 (#256,327)
6 months
1 (#449,844)
Historical graph of downloads
Author's Profile
Citations of this work
The Knowledge-Learning-Instruction Framework: Bridging the Science-Practice Chasm to Enhance Robust Student Learning.Kenneth R. Koedinger, Albert T. Corbett & Charles Perfetti - 2012 - Cognitive Science 36 (5):757-798.
Agreeing is not enough.Johanne Stege Bjørndahl, Riccardo Fusaroli, Svend østergaard & Kristian Tylén - 2015 - Interaction Studies. Social Behaviour and Communication in Biological and Artificial Systemsinteraction Studies / Social Behaviour and Communication in Biological and Artificial Systemsinteraction Studies 16 (3):495-525.
Seeing language learning inside the math: Cognitive analysis yields transfer.Kenneth R. Koedinger & Elizabeth A. McLaughlin - 2010 - In S. Ohlsson & R. Catrambone (eds.), Proceedings of the 32nd Annual Conference of the Cognitive Science Society. Cognitive Science Society. pp. 471--476.
The Cognitive Costs of Context: The Effects of Concreteness and Immersiveness in Instructional Examples.Samuel B. Day, Benjamin A. Motz & Robert L. Goldstone - 2015 - Frontiers in Psychology 6.
Arithmetic Notation… now in 3D!David Landy & Sally Linkenauger - 2010 - In S. Ohlsson & R. Catrambone (eds.), Proceedings of the 32nd Annual Conference of the Cognitive Science Society. Cognitive Science Society.
References found in this work
Fundamental aspects of cognitive representation.Stephen Palmer - 1978 - In Eleanor Rosch & Barbara Lloyd (eds.), Cognition and Categorization. Lawrence Elbaum Associates. pp. 259-303.
The nature of external representations in problem solving.Jiajie Zhang - 1997 - Cognitive Science 21 (2):179-217.
Shuttling Between Depictive Models and Abstract Rules: Induction and Fallback.Daniel L. Schwartz & John B. Black - 1996 - Cognitive Science 20 (4):457-497.
You?ll see what you mean: Students encode equations based on their knowledge of arithmetic.Nicole M. McNeil & Martha W. Alibali - 2004 - Cognitive Science 28 (3):451-466.