“Concreteness fading” promotes transfer of mathematical knowledge

[1]  Jon R. Star,et al.  Improving Students' Proportional Thinking Using Schema-Based Instruction , 2011 .

[2]  F. Fischer,et al.  From guided to self-regulated performance of domain-general skills: The role of peer monitoring during the fading of instructional scripts , 2011 .

[3]  E. Bjork,et al.  Making things hard on yourself, but in a good way: Creating desirable difficulties to enhance learning. , 2011 .

[4]  L. Verschaffel,et al.  Abstract or concrete examples in learning mathematics? A replication and elaboration of Kaminski, Sloutsky, and Heckler’s study , 2011 .

[5]  Katharina Scheiter,et al.  The acquisition of problem-solving skills in mathematics: How animations can aid understanding of structural problem features and solution procedures , 2010 .

[6]  Taylor Martin.  A Theory of Physically Distributed Learning: How External Environments and Internal States Interact in Mathematics Learning , 2009 .

[7]  Arthur M. Glenberg,et al.  Using Concreteness in Education: Real Problems, Potential Solutions , 2009 .

[8]  Nicole M. McNeil,et al.  Should you show me the money? Concrete objects both hurt and help performance on mathematics problems , 2009 .

[9]  Matthew G. Jones.  Transfer, Abstraction, and Context , 2009, Journal for Research in Mathematics Education.

[10]  Robert L. Goldstone,et al.  ' s personal copy Simplicity and generalization : Short-cutting abstraction in children ’ s object categorizations , 1997 .

[11]  Vladimir M Sloutsky,et al.  The Advantage of Abstract Examples in Learning Math , 2008, Science.

[12]  Jeffrey D. Karpicke,et al.  The Critical Importance of Retrieval for Learning , 2008, Science.

[13]  Henry L. Roediger,et al.  Repeated retrieval during learning is the key to long-term retention , 2007 .

[14]  D. Kuhn,et al.  Direct instruction vs. discovery: The long view , 2007 .

[15]  Rebecca L. Gómez,et al.  Naps Promote Abstraction in Language-Learning Infants , 2006, Psychological science.

[16]  J. Wiley,et al.  An examination of the seductive details effect in terms of working memory capacity , 2006, Memory & cognition.

[17]  Vladimir M. Sloutsky,et al.  Do Children Need Concrete Instantiations to Learn an Abstract Concept , 2006 .

[18]  Daniel L. Schwartz,et al.  Physically Distributed Learning: Adapting and Reinterpreting Physical Environments in the Development of Fraction Concepts , 2005, Cogn. Sci..

[19]  Jennifer A. Kaminski,et al.  The advantage of simple symbols for learning and transfer , 2005, Psychonomic bulletin & review.

[20]  Robert L. Goldstone,et al.  The Transfer of Scientific Principles Using Concrete and Idealized Simulations , 2005, Journal of the Learning Sciences.

[21]  Norman M. Weinberger,et al.  Consequences of failures to meet standards in learning and memory , 2004, Nature Reviews Neuroscience.

[22]  Michael P. Kaschak,et al.  Activity and Imagined Activity Can Enhance Young Children's Reading Comprehension. , 2004 .

[23]  Alvaro Pascual-Leone,et al.  Current concepts in procedural consolidation , 2004, Nature Reviews Neuroscience.

[24]  Daniel L. Schwartz,et al.  Inventing to Prepare for Future Learning: The Hidden Efficiency of Encouraging Original Student Production in Statistics Instruction , 2004 .

[25]  Robert Stickgold,et al.  To sleep, perchance to gain creative insight? , 2004, Trends in Cognitive Sciences.

[26]  J. Born,et al.  Sleep inspires insight , 2004, Nature.

[27]  Robert L. Goldstone,et al.  The transfer of abstract principles governing complex adaptive systems , 2003, Cognitive Psychology.

[28]  Richard E. Mayer,et al.  Multimedia Learning: The Promise of Multimedia Learning , 2001 .

[29]  David W. Carraher,et al.  The Evolution of Mathematical Reasoning: Everyday versus Idealized Understandings , 2002 .

[30]  L. Schauble,et al.  Symbolic communication in mathematics and science: Co-constituting inscription and thought. , 2002 .

[31]  K.P.E. Gravemeijer,et al.  Preamble: From Models to Modeling , 2002 .

[32]  Susan M. Barnett,et al.  When and where do we apply what we learn? A taxonomy for far transfer. , 2002, Psychological bulletin.

[33]  J. Deloache.  Dual representation and young children's use of scale models. , 2000, Child development.

[34]  J. D. McGaugh.  Memory--a century of consolidation. , 2000, Science.

[35]  Shaaron Ainsworth,et al.  The functions of multiple representations , 1999, Comput. Educ..

[36]  R. Mayer,et al.  How Seductive Details Do Their Damage: A Theory of Cognitive Interest in Science Learning , 1998 .

[37]  Elena L. Grigorenko,et al.  Teaching Triarchically Improves School Achievement. , 1998 .

[38]  John R. Anderson,et al.  Illustrating Principled Design: The Early Evolution of a Cognitive Tutor for Algebra Symbolization , 1998, Interact. Learn. Environ..

[39]  B. Greer.  Modelling Reality in Mathematics Classrooms: The Case of Word Problems. , 1997 .

[40]  J. Deloache,et al.  Manipulatives as symbols: A new perspective on the use of concrete objects to teach mathematics , 1997 .

[41]  J. P. Smith,et al.  Efficacy and Teaching Mathematics by Telling: A Challenge for Reform. , 1996 .

[42]  T. P. Carpenter,et al.  Problem Solving as a Basis for Reform in Curriculum and Instruction: The Case of Mathematics , 1996 .

[43]  Marilyn Burns,et al.  How to Make the Most of Math Manipulatives. , 1996 .

[44]  P. Thompson.  Notations, Conventions, and Constraints: Contributions to Effective Uses of Concrete Materials in Elementary Mathematics. , 1992 .

[45]  D. Ball.  Magical Hopes: Manipulatives and the Reform of Math Education. , 1992 .

[46]  Maria Montessori,et al.  The Advanced Montessori Method , 1991 .

[47]  A. Agresti.  An introduction to categorical data analysis , 1997 .

[48]  Michelle Perry,et al.  Activation of Real-World Knowledge in the Solution of Word Problems , 1989 .

[49]  John D. Bransford,et al.  New approaches to instruction: because wisdom can't be told , 1989 .

[50]  C. S. White,et al.  Effects of 'Seductive Details' on Macroprocessing and Microprocessing in Adults and Children , 1989 .

[51]  H. Simon,et al.  Why are some problems hard? Evidence from Tower of Hanoi , 1985, Cognitive Psychology.

[52]  K. Holyoak,et al.  Schema induction and analogical transfer , 1983, Cognitive Psychology.

[53]  John R. Anderson,et al.  Acquisition of Problem-Solving Skill. , 1980 .

[54]  R. Glaser.  Advances in Instructional Psychology , 1978 .

[55]  J. Piaget.  Science of education and the psychology of the child , 1970 .

[56]  J. Bruner.  Toward a Theory of Instruction , 1966 .