Prospective Adaptation in the Use of External Representations

REFERENCES

• Agnew , N. M. , Ford , K. M. and Hayes , P. J. 1997 . “ Expertise in context: Personally constructed, socially selected, and reality-relevant ” . In Expertise in context , Edited by: Feltovich , P. J. , Ford , K. M. and Hoffman , R. R. 219 – 244 . Menlo Park, CA : AAAI Press .
   Google Scholar
• Augustine , N. R. 2005 . Rising above the gathering storm: Energizing and employing America for a brighter economic future , Washington, DC : National Academy Press .
   Google Scholar
• Biederman , I. and Shiffrar , M. M. 1987 . Sexing day-old chicks: A case study and expert systems analysis of a difficult perceptual-learning task . Journal of Experimental Psychology: Learning, Memory, and Cognition , 13 : 640 – 645 .
   Web of Science ®Google Scholar
• Bransford , J. D. and Schwartz , D. L. 1999 . “ Rethinking transfer: A simple proposal with multiple implications ” . In Review of research in education , Edited by: Iran-Nejad , A. and Pearson , P. D. Vol. 24 , 61 – 100 . Washington, DC : American Educational Research Association .
   Google Scholar
• Chase , W. G. and Simon , H. A. 1973 . Perception in chess . Cognitive Psychology , 4 : 55 – 81 .
   Web of Science ®Google Scholar
• Collins , A. M. and Ferguson , W. 1993 . Epistemic forms and epistemic games: Structures and strategies to guide inquiry . Educational Psychologist , 28 : 25 – 42 .
   Web of Science ®Google Scholar
• Csikszentmihalyi , M. and Getzels , J. W. 1970 . Concern for discovery: An attitudinal component of creative production . Journal of Personality , 38 : 91 – 105 .
   PubMed Web of Science ®Google Scholar
• diSessa , A. A. , Hammer , D. , Sherin , B. and Kolpakowski , T. 1991 . Inventing graphing: Meta-representational expertise in children . Journal of Mathematical Behavior , 10 ( 2 ) : 117 – 160 .
   Google Scholar
• diSessa , A. A. and Sherin , B. 2000 . Meta-representation: An introduction . The Journal of Mathematical Behavior , 19 ( 4 ) : 385 – 398 .
   Google Scholar
• Eger , T. , Eckert , C. and Clarkson , P. J. . The role of design freeze in product development . Proceedings of 15th International Conference on Engineering Design, Melbourne, Australia , pp. 164 – 165 .
   Google Scholar
• Eisenstein , E. L. 1979 . The printing press as an agent of change: Communications and cultural transformations in early modern Europe , New York : Cambridge University Press .
   Google Scholar
• Enyedy , N. 2005 . Inventing mapping: Creating cultural forms to solve collective problems . Cognition and Instruction , 23 ( 4 ) : 427 – 466 .
   Web of Science ®Google Scholar
• Ericsson , K. A. 2006 . The Cambridge handbook of expertise and expert performance , New York : Cambridge University Press .
   Google Scholar
• Ericsson , K. A. , Krampe , R. Th. and Tesch-Römer , C. 1993 . The role of deliberate practice in the acquisition of expert performance . Psychological Review , 100 : 363 – 406 .
   Web of Science ®Google Scholar
• Fullan , M. 1993 . Change forces: Probing the depths of educational reform , London : Falmer Press .
   Google Scholar
• Hatano , G. and Inagaki , K. 1986 . “ Two courses of expertise ” . In Child development and education in Japan , Edited by: Stevenson , H. , Assume , H. and Hakuta , K. 262 – 272 . New York : Freeman .
   Google Scholar
• Hatano , G. , Miyake , Y. and Binks , M. G. 1977 . Performance of expert abacus operators . Cognition , 5 : 57 – 71 .
   Google Scholar
• Hatano , G. and Osawa , K. 1983 . Digit memory of grand experts in abacus-derived mental calculation . Cognition , 15 : 95 – 110 .
   PubMed Web of Science ®Google Scholar
• Kirsh , D. 1996 . Adapting the environment instead of oneself . Adaptive Behavior , 4 : 415 – 452 .
   Web of Science ®Google Scholar
• Lewis , C. and Mack , R. 1982 . Learning to use a text processing system: Evidence for thinking aloud protocols . Communications of the Association for Computing Machinery , 25 : 387 – 392 .
   Google Scholar
• Luchins , A. S. and Luchins , E. H. 1959 . Rigidity of behavior: A variational approach to the effect of einstellung , Eugene, OR : University of Oregon Books .
   Google Scholar
• Martin , L. 2008 . Prospective adaptation and representational tools. Unpublished doctoral dissertation , Stanford, CA : Stanford University .
   Google Scholar
• Miyake , N. and Pea , R. . Redefining learning goals of very long-term learning across many different fields of activity . Proceedings of the CSCL 2007: Computer Supported Collaborative Learning , pp. 26 – 35 . New Brunswick, NJ
   Google Scholar
• Novick , L. R. 1988 . Analogical transfer, problem similarity, and expertise . Journal of Experimental Psychology: Learning, Memory, and Cognition , 14 : 510 – 520 .
   PubMed Web of Science ®Google Scholar
• Novick , L. R. and Hurley , S. M. 2001 . To matrix, network, or hierarchy: That is the question . Cognitive Psychology , 42 : 158 – 216 .
   PubMed Web of Science ®Google Scholar
• Pea , R. D. 1985 . Beyond amplification: Using the computer to reorganize mental functioning . Educational Psychologist , 20 ( 4 ) : 167 – 182 .
   Web of Science ®Google Scholar
• Petrosino , A. J. , Lehrer , R. and Schauble , L. 2003 . Structuring error and experimental variation as distribution in the fourth grade . Mathematical Thinking and Learning , 5 ( 2&3 ) : 131 – 156 .
   Google Scholar
• Rebellow , N. S. , Zollman , D. A. , Allbaugh , A. R. , Englehardt , P. V. , Gray , K. E. , Hrepic , Z. and Itza-Ortiz , S. F. 2005 . “ Dynamic transfer: A perspective from physics education research ” . In Transfer of learning from a modern multidisciplinary perspective , Edited by: Mestre , J. P. 217 – 250 . Greenwich, CT : Information Age Publishing .
   Google Scholar
• Reeves , S. and Bell , P. 2009 . Children's self-documentation and understanding of the concepts ‘healthy’ and ‘unhealthy.’ . International Journal of Science Education. , 31 ( 14 ) : 1953 – 1974 .
   Google Scholar
• Sander , E. and Richard , J. 1997 . Analogical transfer as guided by an abstraction process: The case of learning by doing in text editing . Journal of Experimental Psychology: Learning, Memory, and Cognition , 23 ( 6 ) : 1459 – 1483 .
   PubMedGoogle Scholar
• Schwartz , D. L. 1993 . The construction and analogical transfer of symbolic visualizations . Journal of Research in Science Teaching , 30 ( 10 ) : 1309 – 1325 .
   Web of Science ®Google Scholar
• Schwartz , D. L. , Bransford , J. D. and Sears , D. 2005 . “ Efficiency and innovation in transfer ” . In Transfer of learning from a modern multidisciplinary perspective , Edited by: Mestre , J. P. 1 – 52 . Greenwich, CT : Information Age Publishing .
   Google Scholar
• Schwartz , D. L. and Martin , T. 2004 . Inventing to prepare for future learning: The hidden efficiency of encouraging original student production in statistics instruction . Cognition and Instruction , 22 ( 2 ) : 129 – 84 .
   Web of Science ®Google Scholar
• Schwartz , D. L. , Varma , S. and Martin , L. 2008 . “ Dynamic transfer and innovation ” . In International handbook of research on conceptual change , Edited by: Vosniadou , S. 479 – 506 . New York : Routledge .
   Google Scholar
• Schoenfeld , A. H. 1992 . “ Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics ” . In Handbook for research on mathematics teaching and learning , Edited by: Grouws , D. 334 – 370 . New York : MacMillan .
   Google Scholar
• Schoenfeld , A. H. 1985 . Mathematical problem solving , Orlando, FL : Academic Press .
   Google Scholar
• Stevens , R. , Mertl , V. , Levias , S. and McCarthy , L. 2006 . “ Money matters: The social and material organization of consequential financial practices in families [summary] ” . In Proceedings of the 7th International Conference of the Learning Sciences, Bloomington, Indiana , Edited by: Barab , S. A. , Hay , K. E. and Hickey , D. T. 1088 – 1090 . Mahwah, NJ : Lawrence Erlbaum Associates .
   Google Scholar
• Strauss , S. 1982 . U-shaped behavioral growth , New York : Academic Press .
   Google Scholar
• VanLehn , K. 1996 . Cognitive skill acquisition . Annual Review of Psychology , 47 : 513 – 539 .
   PubMed Web of Science ®Google Scholar
• White , S. S. , Mueller-Hanson , R. A. , Dorsey , D. , Pulakos , E. D. , Wisecarver , M. M. and Deagle , E. A. 2005 . Developing adaptive proficiency in special forces officers (ARI Research Report 1831) , Arlington, VA : U.S. Army Research Institute for the Behavioral and Social Sciences .
   Google Scholar
• Wineburg , S. S. 1998 . Reading Abraham Lincoln: An expert-expert study in the interpretation of historical texts . Cognitive Science , 22 : 319 – 346 .
   Web of Science ®Google Scholar
• Zhang , J. 1997 . The nature of external representations in problem solving . Cognitive Science , 21 ( 2 ) : 179 – 217 .
   Web of Science ®Google Scholar