The Actor-Oriented Transfer Perspective and Its Contributions to Educational Research and Practice

REFERENCES

• Anderson , J. R. 1996 . ACT: A simple theory of complex cognition . American Psychologist , 51 : 355 – 365 .
   Web of Science ®Google Scholar
• Anderson , J. R. 2005 . Human symbol manipulation within an integrated cognitive architecture . Cognitive Science , 29 : 313 – 341 .
   PubMed Web of Science ®Google Scholar
• Anderson , J. R. , Corbett , A. T. , Koedinger , K. R. and Pelletier , R. 1995 . Cognitive tutors: Lessons learned . The Journal of the Learning Sciences , 4 : 167 – 207 .
   Web of Science ®Google Scholar
• Anderson , J. R. , Reder , L. M. and Simon , H. A. 2000 . Applications and misapplications of cognitive psychology to mathematics education . Texas Educational Review , 1 ( 2 ) : 29 – 49 .
   Google Scholar
• Barnett , S. and Ceci , S. J. 2002 . “ Assessing whether learning transfers beyond the classroom ” . In Transfer of learning from a modern multidisciplinary perspective , Edited by: Mestre , J. P. 295 – 312 . Greenwich , CT : Information Age .
   Google Scholar
• Bassok , M. and Holyoak , K. J. 1989 . Interdomain transfer between isomorphic topics in algebra and physics . Journal of Experimental Psychology: Learning, Memory, and Cognition , 15 : 153 – 166 .
   Web of Science ®Google Scholar
• Bassok , M. and Holyoak , K. J. 1993 . “ Pragmatic knowledge and conceptual structure: Determinants of transfer between quantitative domains ” . In Transfer on trial: Intelligence, cognition, and instruction , Edited by: Detterman , D. K. and Sternberg , R. J. 68 – 98 . Norwood , NJ : Ablex .
   Google Scholar
• Beach , K. 1999 . “ Consequential transitions: A sociocultural expedition beyond transfer in education ” . In Review of research in education , Edited by: Iran-Nejad , A. and Pearson , P. D. Vol. 24 , 101 – 140 . Washington , DC : American Educational Research Association .
   Google Scholar
• Beach , K. D. 2003 . “ Consequential transitions: A developmental view of knowledge propagation through social organizations ” . In Between school and work: New perspectives on transfer and boundary-crossing , Edited by: Tuomi-Gröhn , T. and Engeström , Y. 39 – 62 . Oxford , UK : Elsevier Science .
   Google Scholar
• Belenky , D. M. and Nokes-Malach , T. J. 2012 . Motivation and transfer: The role of mastery-approach goals in preparation for future learning . The Journal of the Learning Sciences , 21 : 399 – 432 .
   Web of Science ®Google Scholar
• Bereiter , C. 1995 . “ A dispositional view of transfer ” . In Teaching for transfer: Fostering generalization in learning , Edited by: McKeough , A. , Lupart , J. and Marini , A. 21 – 34 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Booker , G. 1996 . “ Constructing mathematical conventions formed by the abstraction and generalization of earlier ideas: The development of initial fraction ideas ” . In Theories of mathematical learning , Edited by: Steffe , L. , Nesher , P. , Cobb , P. , Goldin , G. and Greer , B. 381 – 395 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Bransford , J. D. , Brown , A. L. and Cocking , R. R. 2000 . “ Learning and transfer ” . In How people learn: Brain, mind, experience, and school , 39 – 66 . Washington , DC : National Academy Press . Committee on Developments in the Science of Learning, & National Research Council
   Google Scholar
• Bransford , J. D. and McCarrell , N. S. 1974 . “ A sketch of a cognitive approach to comprehension: Some thoughts about what it means to comprehend ” . In Cognition and symbolic processes , Edited by: Weimer , W. G. and Palermo , D. S. 189 – 229 . Hillsdale , NJ : Erlbaum .
   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
• Brownell , M. T. , Mellard , D. F. and Deshler , D. D. 1993 . Differences in the learning and transfer performance between students with learning disabilities and other low-achieving students on problem-solving tasks . Learning Disability Quarterly , 16 : 138 – 156 .
   Web of Science ®Google Scholar
• Bruer , J. T. 2001 . School for thought: A science of learning in the classroom , Cambridge , MA : MIT Press .
   Google Scholar
• Butler , A. C. 2010 . Repeated testing produces superior transfer of learning relative to repeated studying . Journal of Experimental Psychology: Learning, Memory, and Cognition , 36 : 1118 – 1133 .
   PubMed Web of Science ®Google Scholar
• Butterfield , E. C. and Nelson , G. D. 1991 . Promoting positive transfer of different types . Cognition and Instruction , 8 : 69 – 102 .
   Web of Science ®Google Scholar
• Campbell , R. 2001 . “ Reflecting abstraction in context ” . In Studies in reflecting abstraction by Jean Piaget (Ed. & Trans.) , Edited by: Campbell , R. 1 – 27 . Sussex , , England : Psychology Press . (Original work published 1977)
   Google Scholar
• Campione , J. C. , Shapiro , A. M. and Brown , A. L. 1995 . “ Forms of transfer in a community of learners: Flexible learning and understanding ” . In Teaching for transfer: Fostering generalization in learning , Edited by: McKeough , A. , Lupart , J. and Marini , A. 35 – 68 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Carraher , D. and Schliemann , A. D. 2002 . The transfer dilemma . The Journal of the Learning Sciences , 11 : 1 – 24 .
   Web of Science ®Google Scholar
• Chen , Z. and Klahr , D. 1999 . All other things being equal: Acquisition and transfer of the control of variables strategy . Child Development , 70 : 1098 – 1120 .
   PubMed Web of Science ®Google Scholar
• Chen , Z and Mo , L . 2004 . Schema induction in problem solving: a multidimensional analysis . Journal of Experimental Psychology: Learning, Memory, and Cognition , 30 : 583 – 600 .
   PubMed Web of Science ®Google Scholar
• Cui , L. 2006 . Assessing college students’ retention and transfer from calculus to physics , Manhattan , KS : Kansas State University . (Unpublished doctoral dissertation) Retrieved from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=4769&DocID=209
   Google Scholar
• Cui , L. , Rebello , N. S. and Bennett , A. Transfer of learning from college calculus to physics courses . Paper presented at the proceedings of the National Association for Research in Science Teaching, San Francisco, CA ,
   Google Scholar
• Day , S. and Goldstone , R. 2011 . Analogical transfer from a simulated physical system . Journal of Experimental Psychology: Learning, Memory, and Cognition , 37 : 551 – 567 .
   PubMed Web of Science ®Google Scholar
• Detterman , D. K. 1993 . “ The case for the prosecution: Transfer as an epiphenomenon ” . In Transfer on trial: Intelligence, cognition, and instruction , Edited by: Detterman , D. K. and Sternberg , R. J. 1 – 24 . Norwood , NJ : Ablex .
   Google Scholar
• Dewey , J. 1938 . Experience and education , New York , NY : Macmillan .
   Google Scholar
• diSessa , A. A. 1993 . Toward an epistemology of physics . Cognition & Instruction , 10 : 105 – 225 .
   Web of Science ®Google Scholar
• diSessa , A. A. and Wagner , J. 2005 . “ What coordination has to say about transfer ” . In Transfer of learning from a modern multidisciplinary perspective , Edited by: Mestre , J. P. 121 – 154 . Greenwich , CT : Information Age .
   Google Scholar
• Ellis , A. B. 2007 . A taxonomy for categorizing generalizations: Generalizing actions and reflection generalizations . The Journal of the Learning Sciences , 16 : 221 – 262 .
   Web of Science ®Google Scholar
• Engle , R. A. , Lam , D. P. , Meyer , X. S. and Nix , S. E. 2012/this issue . How does expansive framing promote transfer? Several proposed explanations and a research agenda for investigating them . Educational Psychologist , 47 : 215 – 231 .
   Web of Science ®Google Scholar
• English , L. D. and Halford , G. S. 1995 . Mathematics education: Models and processes , Mahwah , NJ : Erlbaum .
   Google Scholar
• Ericsson , A. and Simon , H. 1993 . Protocol analysis: Verbal reports as data (Rev. ed.) , Cambridge , MA : MIT Press .
   Google Scholar
• Evans , J. 1998 . “ Problems of transfer of classroom mathematical knowledge to practical situations (pp ” . In The culture of the mathematics classroom , Edited by: Seeger , F. , Voigt , J. and Waschescio , U. 269 – 289 . Cambridge , UK : Cambridge University Press .
   Google Scholar
• Fuchs , L. S. , Fuchs , D. , Prentice , K. , Burch , M. , Hamlett , C. L. , Owen , R. and Jancek , D. 2003 . Explicitly teaching for transfer: Effects on third-grade students’ mathematical problem solving . Journal of Educational Psychology , 95 : 293 – 305 .
   Web of Science ®Google Scholar
• Gentner , D. 1983 . Structure-mapping: A theoretical framework for analogy . Cognitive Science , 7 : 155 – 170 .
   Web of Science ®Google Scholar
• Gentner , D. 1989 . “ The mechanisms of analogical learning ” . In Similarity and analogical reasoning , Edited by: Vosniadou , S. and Ortony , A. 199 – 241 . Cambridge , UK : Cambridge University Press .
   Google Scholar
• Gentner , D. and Kurtz , K. K. 2006 . Relations, objects, and the composition of analogies . Cognitive Science , 30 : 1 – 34 .
   Web of Science ®Google Scholar
• Gentner , D. , Loewenstein , J. and Thompson , L. 2003 . Learning and transfer: A general role for analogical encoding . Journal of Educational Psychology , 95 : 393 – 405 .
   Web of Science ®Google Scholar
• Gentner , D. and Markman , A. B. 1997 . Structure mapping in analogy and similarity . American Psychologist , 52 : 45 – 56 .
   Web of Science ®Google Scholar
• Gick , M. L. and Holyoak , K. J. 1983 . Schema induction and analogical transfer . Cognitive Psychology , 15 : 1 – 38 .
   Web of Science ®Google Scholar
• Gick , M. L. and Holyoak , K. J. 1987 . “ The cognitive basis of knowledge transfer ” . In Transfer of learning: Contemporary research and applications , Edited by: Cormier , S. M. and Hagman , J. D. 9 – 47 . San Diego , CA : Academic Press .
   Google Scholar
• Ginsburg , H. 1997 . Entering the child's mind , Cambridge , UK : Cambridge University Press .
   Google Scholar
• Goodson-Espy , T. Why reflective abstraction remains relevant in mathematics education research . Paper presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education ,
   Google Scholar
• Goodwin , C. 1994 . Professional vision . American Anthropologist , 96 : 606 – 633 .
   Web of Science ®Google Scholar
• Greeno , J. G. 1997 . Response: on claims that answer the wrong questions . Educational Researcher , 26 : 5 – 17 .
   Google Scholar
• Greeno , J. G. , Smith , D. R. and Moore , J. L. 1993 . “ Transfer of situated learning ” . In Transfer on trial: Intelligence, cognition, and instruction , Edited by: Detterman , D. K. and Sternberg , R. J. 99 – 167 . Norwood , NJ : Ablex .
   Google Scholar
• Gruber , H. , Law , L. , Mandl , H. and Renkl , A. 1996 . “ Situated learning and transfer ” . In Learning in humans and machines: Towards an interdisciplinary learning science (pp. 168–188) Edited by: Reimann , P. and Spada , H. Pergamon, Oxford , UK
   Google Scholar
• Guberman , S. and Greenfield , P. M. 1991 . Learning and transfer in everyday cognition . Cognitive Development , 6 : 233 – 260 .
   Web of Science ®Google Scholar
• Hammer , D. , Elby , A. , Scherr , R. E. and Redish , E. F. 2005 . “ Resources, framing, and transfer ” . In Transfer of learning from a modern multidisciplinary perspective , Edited by: Mestre , J. P. 89 – 120 . Greenwich , CT : Information Age .
   Google Scholar
• Hannula , M. M. and Lehtinen , E. 2004, April . “ Relationships between spontaneous focusing on numerosity and early mathematical skills ” . In Attentional processes, salience, and “transfer” of learning: Perspectives from neuroscience, cognitive science, and mathematics education , Edited by: Lobato , J. San Diego , CA : Symposium conducted at the annual meeting of the American Educational Research Association . (Chair)
   Google Scholar
• Hannula , M. M. and Lehtinen , E. 2005 . Spontaneous focusing on numerosity and mathematical skills of young children . Learning and Instruction , 15 : 237 – 256 .
   Web of Science ®Google Scholar
• Hannula , M. M. , Mattinen , A. and Lehtinen , E. 2005 . “ Does social interaction influence 3yearold children's tendency to focus on numerosity? A quasiexperimental study in day care ” . In Powerful environments for promoting deep conceptual and strategic learning , Edited by: Verschaffel , L. , De Corte , E. , Kanselaar , G. and Valcke , M. 63 – 80 . Leuven , , Belgium : Leuven University Press .
   Google Scholar
• Hatano , G. 1996 . “ A conception of knowledge acquisition and its implications for mathematics education ” . In Theories of mathematical learning , Edited by: Steffe , L. P. , Nesher , P. , Cobb , P. , Goldin , G. A. and Greer , B. 197 – 218 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Hatano , G. and Greeno , J. G. 1999 . Commentary: Alternative perspectives on transfer and transfer studies . International Journal of Educational Research , 31 : 645 – 654 .
   Google Scholar
• Hohensee , C. 2011 . Backward transfer: How mathematical understanding changes as one builds upon it , University of California at San Diego and San Diego State University . (Unpublished doctoral dissertation) Retrieved from Retrieved from http://hdl.handle.net/10211.10/1441
   Google Scholar
• Kaput , J. J. and Maxwell-West , M. 1994 . “ Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns ” . In The development of multiplicative reasoning in the learning of mathematics , Edited by: Harel , G. and Confrey , J. 235 – 287 . Albany : State University of New York Press .
   Google Scholar
• Karakok , G. 2009 . Students’ transfer of learning of eigenvalues and eigenvectors: Implementation of the actor-oriented transfer framework , Corvallis : Oregon State University . (Unpublished doctoral dissertation) Retrieved from http://ir.library.oregonstate.edu/xmlui/bitstream/handle/1957/11181/Karakok_thesis.pdf?sequence=1
   Google Scholar
• Kelly , A. E. , Lesh , R. A. and Baek , J. Y. 2008 . Handbook of design research methods in education: Innovations in science, technology, engineering, and mathematics learning and teaching , Mahwah , NJ : Erlbaum .
   Google Scholar
• Klahr , D. and Carver , S. M. 1988 . Cognitive objectives in a LOGO debugging curriculum: Instruction, learning, and transfer . Cognitive Psychology , 20 : 362 – 404 .
   Web of Science ®Google Scholar
• Koedinger , K. R. and Anderson , J. R. 1998 . Illustrating principled design: The early evolution of a cognitive tutor for algebra symbolization . Interactive Learning Environments , 5 : 161 – 179 .
   Google Scholar
• Koedinger , K. R. and Terao , A. A cognitive task analysis of using pictures to support pre-algebraic reasoning . Proceedings of the Twenty-Fourth Annual Conference of the Cognitive Science Society , Edited by: Schunn , C. D. and Gray , W. pp. 542 – 547 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Kotovsky , K. and Fallside , D. 1989 . “ Representation and transfer in problem solving ” . In Complex information processing: The impact of Herbert A. Simon , Edited by: Klahr , D. and Kotovsky , K. 69 – 108 . Hillsdale , NJ : Erlbaum .
   Google Scholar
• Laboratory of Comparative Human Cognition . 1983 . “ Culture and cognitive development ” . In Handbook of child psychology, volume 1: History, theory, and methods , Edited by: Mussen , W. 295 – 356 . New York , NY : Wiley & Sons .
   Google Scholar
• Lave , J. 1988 . Cognition in practice: Mind, mathematics, and culture in everyday life , Cambridge , UK : Cambridge University Press .
   Google Scholar
• Lehtinen , E. and Hannula , M. M. 2006 . “ Attentional processes, abstraction and transfer in early mathematical development ” . In Instructional psychology: Past, present and future trends , Edited by: Verschaffel , L. , Dochy , F. , Boekaerts , M. and Vosniadou , S. 39 – 54 . Oxford , UK : Elsevier .
   Google Scholar
• Lesh , R. , Post , T. and Behr , M. 1988 . “ Proportional reasoning ” . In Number concepts and operations in the middle grades , Edited by: Hiebert , J. and Behr , M. 93 – 118 . Reston , VA : Erlbaum and National Council of Teachers of Mathematics .
   Google Scholar
• Lobato , J. 1996 . Transfer reconceived: How “sameness” is produced in mathematical activity. (Doctoral dissertation, University of California, Berkeley, 1996) . Dissertation Abstracts International , AAT 9723086
   Google Scholar
• Lobato , J. 2003 . How design experiments can inform a rethinking of transfer and vice versa . Educational Researcher , 32 : 17 – 20 .
   Google Scholar
• Lobato , J. Attention-focusing and the “transfer” of learning . Contrasting different perspectives on the object of learners’ attention , Edited by: Emanuelsson , J. and Pang (Chairs) , M. F. 11th Biennial Conference of the European Association for Research on Learning and Instruction, Nicosia, Cyprus
   Google Scholar
• Lobato , J. 2006 . Alternative perspectives on the transfer of learning: History, issues, and challenges for future research . The Journal of the Learning Sciences , 15 : 431 – 449 .
   Web of Science ®Google Scholar
• Lobato , J. 2008a . “ Research methods for alternative approaches to transfer: Implications for design experiments ” . In Handbook of design research methods in education: Innovations in science, technology, engineering, and mathematics learning and teaching , Edited by: Kelly , A. E. , Lesh , R. A. and Baek , J. Y. 167 – 194 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Lobato , J. 2008b . “ When students don't apply the knowledge you think they have, rethink your assumptions about transfer ” . In Making the connection: Research and teaching in undergraduate mathematics , Edited by: Carlson , M. and Rasmussen , C. 289 – 304 . Washington , DC : Mathematical Association of America .
   Google Scholar
• Lobato , J. , Ellis , A. B. and Muñoz , R. 2003 . How “focusing phenomena” in the instructional environment afford students’ generalizations . Mathematical Thinking and Learning , 5 ( 1 ) : 1 – 36 .
   Google Scholar
• Lobato , J. , Hohensee , C. , Rhodehamel , B. and Diamond , J. 2012 . Using student reasoning to inform the development of conceptual learning goals: The case of quadratic functions . Mathematical Thinking and Learning , 14 : 85 – 119 .
   Web of Science ®Google Scholar
• Lobato , J. , Rhodehamel , B. and Hohensee , C. 2012a . Mathematical noticing: What do students attend to mathematically during classroom instruction and why? Manuscript under review
   Google Scholar
• Lobato , J. , Rhodehamel , B. and Hohensee , C. 2012 . “Noticing” as an alternative transfer of learning process . The Journal of the Learning Sciences , 21 : 433 – 482 .
   Web of Science ®Google Scholar
• Lobato , J. and Siebert , D. 2002 . Quantitative reasoning in a reconceived view of transfer . The Journal of Mathematical Behavior , 21 : 87 – 116 .
   Google Scholar
• Lobato , J. and Thanheiser , E. 2002 . “ Developing understanding of ratio as measure as a foundation for slope ” . In Making sense of fractions, ratios, and proportions: 2002 Yearbook , Edited by: Litwiller , B. 162 – 175 . Reston , VA : National Council of Teachers of Mathematics .
   Google Scholar
• Marini , A. and Genereux , R. 1995 . “ The challenge of teaching for transfer ” . In Teaching for transfer: Fostering generalization in learning , Edited by: McKeough , A. , Lupart , J. and Marini , A. 1 – 20 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Markman , A. B. and Gentner , D. 2000 . Structure-mapping in the comparison process . American Journal of Psychology , 113 : 501 – 538 .
   PubMed Web of Science ®Google Scholar
• Maxwell , J. 2004 . Causal explanation, qualitative research, and scientific inquiry in education . Educational Researcher , 33 ( 2 ) : 3 – 11 .
   Google Scholar
• Miles , M. B. and Huberman , A. M. 1994 . Qualitative data analysis (2nd ed.) , Thousand Oaks , CA : Sage .
   Google Scholar
• Minstrell , J. 2001 . “ Facets of students’ thinking: Designing to cross the gap from research to standards-based practice ” . In Designing for science: Implications from everyday, classroom, and professional settings , Edited by: Crowley , K. , Schunn , C. and Okada , T. 415 – 444 . Mahwah , NJ : Erlbaum .
   Google Scholar
• Morris , C. D. , Bransford , J. D. and Franks , J. J. 1977 . Levels of processing versus transfer appropriate processing . Journal of Verbal Learning and Verbal Behavior , 16 : 519 – 533 .
   Google Scholar
• Muldner , K. and Conati , C. 2010 . Scaffolding meta-cognitive skills for effective analogical problem solving via tailored example selection . International Journal of Artificial Intelligence in Education , 20 : 99 – 136 .
   Google Scholar
• Nemirovsky , R. 2011 . Episodic feelings and transfer of learning . The Journal of the Learning Sciences , 20 : 308 – 337 .
   Web of Science ®Google Scholar
• Nokes , T. J. 2009 . Mechanisms of knowledge transfer . Thinking and Reasoning , 15 ( 1 ) : 1 – 36 .
   Web of Science ®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
• Ohlsson , S. and Rees , E. 1991 . Adaptive search through constraint violations . Journal of Experimental and Theoretical Artificial Intelligence , 3 : 33 – 42 .
   Google Scholar
• Olive , J. and Lobato , J. 2008 . “ The learning of rational number concepts using technology ” . In Research on technology and the teaching and learning of mathematics: Research syntheses , Edited by: Heid , M. K. and Blume , G. W. 1 – 54 . Charlotte , NC : Information Age and the National Council of Teachers of Mathematics .
   Google Scholar
• Packer , M. 2001 . The problem of transfer, and the sociocultural critique of schooling . The Journal of the Learning Sciences , 10 : 493 – 514 .
   Web of Science ®Google Scholar
• Pea , R. D. 1989 . Socializing the knowledge transfer problems , Palo Alto , CA : Institute for Research on Learning . (Report No. IRL89–0009)
   Google Scholar
• Perkins , D. N. and Salomon , G. 1989 . Are cognitive skills context-bound? . Educational Leadership , 18 ( 1 ) : 16 – 25 .
   Google Scholar
• Plomp , T. and Nieveen , N. 2007 . An introduction to educational design research , Enschede , , the Netherlands : Netherlands Institute for Curriculum Development .
   Google Scholar
• Pugh , K. J. and Bergin , D. A. 2006 . Motivational influences on transfer . Educational Psychologist , 14 : 53 – 69 .
   Google Scholar
• Rebello , N. S. , Cui , L. , Bennett , A. G. , Zollman , D. A. and Ozimek , D. J. 2007 . “ Transfer of learning in problem solving in the context of mathematics and physics ” . In Learning to solve complex scientific problems (pp. 223–246) , Edited by: Jonassen , D. H. New York , NY : Erlbaum .
   Google Scholar
• Reed , S. K. 1993 . “ A schema-based theory of transfer ” . In Transfer on trial: Intelligence, cognition, and instruction , Edited by: Detterman , D. K. and Sternberg , R. J. 39 – 67 . Norwood , NJ : Ablex .
   Google Scholar
• Reed , S. K. 2012 . Learning by mapping across situations . The Journal of the Learning Sciences , 21 : 353 – 398 .
   Web of Science ®Google Scholar
• Reed , S. K. , Ernst , G. W. and Banerji , R. 1974 . The role of analogy in transfer between similar problem states . Cognitive Psychology , 6 : 436 – 450 .
   Web of Science ®Google Scholar
• Reeves , L. M. and Weisberg , R. W. 1994 . The role of content and abstract information in analogical transfer . Psychological Bulletin , 115 : 381 – 400 .
   Web of Science ®Google Scholar
• Rittle-Johnson , B. 2006 . Promoting transfer: effects of self-explanation and direct instruction . Child Development , 77 : 1 – 15 .
   PubMed Web of Science ®Google Scholar
• Rittle-Johnson , B. , Siegler , R. S. and Alibali , M. W. 2001 . Developing conceptual understanding and procedural skill in mathematics: An iterative process . Journal of Educational Psychology , 93 : 346 – 362 .
   Web of Science ®Google Scholar
• Ross , B. H. 1984 . Remindings and their effects in learning a cognitive skill . Cognitive Psychology , 16 : 371 – 416 .
   PubMed Web of Science ®Google Scholar
• Royer , J. M. , Mestre , J. P. and Dufresne , R. J. 2005 . “ Framing the transfer problem ” . In Transfer of learning from a modern multidisciplinary perspective , Edited by: Mestre , J. P. vii – xxvi . Greenwich , CT : Information Age .
   Google Scholar
• Schwartz , D. L. , Chase , C. C. and Bransford , J. D. 2012/this issue . Resisting overzealous transfer: Coordinating previously successful routines with needs for new learning . Educational Psychologist , 47 : 204 – 214 .
   Web of Science ®Google Scholar
• Schwartz , J. L. 1988 . “ Intensive quantity and referent transforming arithmetic operations ” . In Number concepts and operations in the middle grades , Edited by: Hiebert , J. and Behr , M. 41 – 52 . Reston , VA : National Council of Teachers of Mathematics .
   Google Scholar
• Simon , M. A. 2006 . Key developmental understandings in mathematics: A direction for investigating and establishing learning goals . Mathematical Thinking and Learning , 8 : 359 – 371 .
   Google Scholar
• Singley , M. K. and Anderson , J. R. 1989 . The transfer of cognitive skill , Cambridge , MA : Harvard University Press .
   Google Scholar
• Sinha , S. , Gray , S. , Hmelo-Silver , C. , Jordan , R. , Honwad , S. , Eberbach , C. and Goel , A. Appropriating conceptual representations: A case of transfer in a middle school science teacher . Learning in the disciplines: Proceedings of the 9th International Conference of the Learning Sciences , Edited by: Gomez , K. , Lyons , L. and Radinsky , J. Vol. 1 , pp. 834 – 841 . Chicago , IL : International Society of the Learning Sciences .
   Google Scholar
• Sloane , F. C. and Gorard , S. 2003 . Exploring modeling aspects of design experiments . Educational Researcher , 32 : 29 – 31 .
   Google Scholar
• Sternberg , R. J. and Frensch , P. A. 1993 . “ Mechanisms of transfer ” . In Transfer on trial: Intelligence, cognition, and instruction , Edited by: Detterman , D. K. and Sternberg , R. J. 25 – 38 . Norwood , NJ : Ablex .
   Google Scholar
• Strauss , A. and Corbin , J. 1990 . Basics of qualitative research , Newbury Park , CA : Sage .
   Google Scholar
• Stroup , W. M. 2002 . Understanding quantitative calculus: A structural synthesis of learning research . International Journal of Computers for Mathematical Learning , 7 : 167 – 215 .
   Google Scholar
• Thompson , P. W. 1994 . “ The development of the concept of speed and its relationship to concepts of rate ” . In The development of multiplicative reasoning in the learning of mathematics , Edited by: Harel , G. and Confrey , J. 179 – 234 . Albany , NY : SUNY Press .
   Google Scholar
• Thompson , P. W. 2011 . “ Quantitative reasoning and mathematical modeling ” . In New perspectives and directions for collaborative research in mathematics education. WISDOMe Monographs (Vol. 1, pp. 33–57) , Edited by: Hatfield , L. L. , Chamberlain , S. and Belbase , S. Laramie : University of Wyoming Press .
   Google Scholar
• Thorndike , E. L. 1906 . Principles of teaching , New York , NY : A.G. Seiler .
   Google Scholar
• Tuomi-Gröhn , T. and Engeström , Y. 2003 . “ Conceptualizing transfer: From standard notions to developmental perspectives ” . In Between school and work: New perspectives on transfer and boundary-crossing , Edited by: Tuomi-Gröhn , T. and Engeström , Y. 19 – 38 . Oxford , UK : Pergamon .
   Google Scholar
• von Glasersfeld , E . 1990 . “ An exposition of constructivism: Why some like it radical ” . In Constructivist views on the teaching and learning of mathematics. Journal for Research in Mathematics Education, Monograph #4 , Edited by: Davis , R. B. , Maher , C. A. and Noddings , N. 19 – 29 . Reston , VA : National Council of Teachers of Mathematics .
   Google Scholar
• Wagner , J. F. 2006 . “ Transfer in pieces ” . In Cognition and Instruction Vol. 24 , 1 – 71 .
   Google Scholar
• Wagner , J. F. 2010 . A transfer-in-pieces consideration of the perception of structure in the transfer of learning . The Journal of the Learning Sciences , 19 : 443 – 479 .
   Web of Science ®Google Scholar