Abduction–induction (generalization) processes of elementary majors on figural patterns in algebra

[1]  Lorenzo Magnani,et al.  An Abductive Theory of Scientific Reasoning , 2005, IC-AI.

[2]  Lorenzo Magnani,et al.  Conjectures and Manipulations. Computational Modeling and the Extra- Theoretical Dimension of Scientific Discovery , 2004, Minds and Machines.

[3]  Peter McBurney,et al.  Chance Discovery , 2003, Advanced Information Processing.

[4]  Leslie Smith.  Reasoning by Mathematical Induction in Children's Arithmetic , 2002 .

[5]  Henry E. Kyburg,et al.  Real Logic is Nonmonotonic , 2001, Minds and Machines.

[6]  E. Ferrando.  The Relevance of Peircean Theory of Abduction to the Development of Students' Conceptions of Proof (With Particular Attention to Proof in Calculus) , 2000 .

[7]  V. Cifarelli.  Abduction, Generalization, and Abstraction in Mathematical Problem Solving , 1998 .

[8]  V. Cifarelli.  Emergence of Abductive Reasoning in Mathematical Problem Solving. , 1997 .

[9]  Harmon R. Holcomb,et al.  Just so stories and inference to the best explanation in evolutionary psychology , 1996, Minds and Machines.

[10]  Peter A. Flach,et al.  Abduction and induction: syllogistic and inferential perspectives , 1996 .

[11]  Carolyn Kieran,et al.  Approaches to Algebra - Perspectives for Research and Teaching , 1996 .

[12]  D. Tall,et al.  Advanced Mathematical Thinking , 1994 .

[13]  Kathy E. Johnson,et al.  Perceptual knowledge, conceptual knowledge, and expertise: Comment on Jones and Smith. , 1993 .

[14]  Tommy Dreyfus,et al.  Mathematics and Cognition: Advanced Mathematical Thinking , 1991 .

[15]  H. Wellman,et al.  Insides and essences: Early understandings of the non-obvious , 1991, Cognition.

[16]  Jeremy Kilpatrick,et al.  Types of Generalization in Instruction: Logical and Psychological Problems in the Structuring of School Curricula , 1990 .

[17]  N. Pennington,et al.  Explanation-based decision making: effects of memory structure on judgment , 1988 .

[18]  Hee-Chan Lew,et al.  Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (31st, Seoul, Korea, July 8-13, 2007). Volume 1. , 2007 .

[19]  Gerhard Minnameier,et al.  Peirce-Suit of Truth – Why Inference to the Best Explanation and Abduction Ought Not to be Confused , 2004 .

[20]  Akinori Abe,et al.  Abduction and Analogy in Chance Discovery , 2003, Chance Discovery.

[21]  David Tall,et al.  The Psychology of Advanced Mathematical Thinking , 2002 .

[22]  Tommy Dreyfus,et al.  Advanced Mathematical Thinking Processes , 2002 .

[23]  Angie Su.  National Council of Teachers of Mathematics , 2000 .

[24]  G. Roland,et al.  Council of Teachers of Mathematics , 1999 .

[25]  Balakrishnan Chandrasekaran,et al.  Diagrammatic Representation and Reasoning: Some Distinctions , 1997 .

[26]  John R. Josephson,et al.  Abductive inference : computation, philosophy, technology , 1994 .

[27]  Elizabeth F. Shipley,et al.  Categories, hierarchies, and induction , 1993 .

[28]  G. Harel,et al.  The General, the Abstract, and the Generic in Advanced Mathematics , 1991 .

[29]  Paul Thagard.  Computational Philosophy of Science , 1988 .

[30]  John H. Holland,et al.  Induction: Processes of Inference, Learning, and Discovery , 1987, IEEE Expert.

[31]  Drew McDermott,et al.  Introduction to artificial intelligence , 1986, Addison-Wesley series in computer science.

[32]  C. Hempel.  Philosophy of Natural Science , 1966 .

[33]  C. Hartshorne,et al.  Collected Papers of Charles Sanders Peirce , 1935, Nature.