Using Analogical Reasoning and Schema Formation to Improve the Success in Formulating Linear Programming Models

Published Online:https://doi.org/10.1287/opre.47.5.663

References

  • Anderson D. R., Sweeney D. J., Williams T. A.An Introduction to Management Science: Quantitative Approaches to Decision Making (1991) 6th ed.(West Publishing Co., Minneapolis, MN) Google Scholar
  • Anderson J. R., Michalski R. S., Carbonell J. G., Mitchell T. M. Acquisition of proof skills in geometry. Machine Learning: An Artificial Intelligence Approach (1983) (Tioga, Palo Alto, CA) 191–220CrossrefGoogle Scholar
  • Anderson J. R., Farrell R., Sauers R. Learning to program in lisp. Cognitive Sci. (1984) 8:87–129CrossrefGoogle Scholar
  • Gentner D. Structure-mapping: A theoretical framework for analogy. Cognitive Sci. (1983) 7:155–170CrossrefGoogle Scholar
  • Gentner D., Vosniadou S., Ortony A. The mechanisms of analogical learning. Similarity and Analogical Reasoning (1989) (Cambridge University Press, Cambridge, England) 199–241CrossrefGoogle Scholar
  • Gentner D., Landers R. Analogical reminding: A good match is hard to find. Proc. IEEE Internat. Conf. Systems, Man, Cybernetics (1985) IEEENew YorkGoogle Scholar
  • Gentner D., Toupin C. Systematicity and surface similarity in the development of analogy. Cognitive Sci. (1986) 10:277–300CrossrefGoogle Scholar
  • Gick M. L., Holyoak K. J. Analogical problem solving. Cognitive Psych. (1980) 12:306–355CrossrefGoogle Scholar
  • Gick M. L., Holyoak K. J. Schema induction and analogical transfer. Cognitive Psych. (1983) 14:1–38CrossrefGoogle Scholar
  • Holyoak K. J. The pragmatics of analogical transfer. Psych. Learn. Motivation (1985) 19:59–87CrossrefGoogle Scholar
  • Holyoak K. J., Koh K. Surface and structural similarity in analogical transfer. Memory and Cognition (1987) 15:332–340CrossrefGoogle Scholar
  • Holyoak K. J., Thagard P., Vosniadou S., Ortony A. A computational model of analogical problem solving. Similarity and analogical reasoning (1989) (Cambridge University Press, Cambridge, England) 242–266CrossrefGoogle Scholar
  • Kintsch W., Greeno J. G. Understanding and solving word arithmetic problems. Psych. Rev. (1985) 92(1):109–129CrossrefGoogle Scholar
  • Lovett C. M., Anderson J. R. Effects of solving related proofs on memory and transfer in geometry problem solving. J. Experiment. Psych.: Learn., Memory Cognition (1994) 20(2):366–378CrossrefGoogle Scholar
  • Mayer R. E.Thinking, Problem Solving, Cognition (1991) 2nd ed.(W. H. Freeman and Company, New York) Google Scholar
  • Novick L. R., Holyoak K. J. Mathematical problem solving by analogy. J. Experiment. Psych.: Learn., Memory, Cognition (1991) 17(3):398–415CrossrefGoogle Scholar
  • Panchanadam V. Analogical reasoning framework for building linear programming models. (1997) . Ph.D. dissertation, Temple University, Philadelphia, PAGoogle Scholar
  • Reed S. K. A structure-mapping model for word problems. J. Experiment. Psych.: Learn., Memory, Cognition (1987) 13(1):124–139CrossrefGoogle Scholar
  • Reed S. K., Detterman D. K., Sternberg R. J. A schema-based theory of transfer. Transfer on Trial: Intelligence, Cognition, and Instruction (1993) (Ablex Publishing, Norwood, NJ) Google Scholar
  • Reed S. K., Ernst G. W., Banerjee R. The role of analogy in transfer between similar problem states. Cognitive Psych. (1974) 6:436–450CrossrefGoogle Scholar
  • Reed S. K., Dempster A., Ettinger M. Usefulness of analogous problems for solving algebra word problems. J. Experiment. Psych.: Learn., Memory, Cognition (1985) 11(6):106–125CrossrefGoogle Scholar
  • Reed S. K., Ackinclose C. C., Voss A. A. Selecting analogous problems: Similarity versus inclusiveness. Memory and Cognition (1990) 18(1):83–98CrossrefGoogle Scholar
  • Reed S. K., Willis D., Guarino J. Selecting examples for solving word problems. J. Educational Psych. (1994) 86(3):380–388CrossrefGoogle Scholar
  • Ross B. H. Remindings and their effects in learning a cognitive skill. Cognitive Psych. (1984) 16:371–416CrossrefGoogle Scholar
  • Ross B. H. This is like that: The use of earlier problems and the separation of similarity effects. J. Experiment. Psychol.: Learn., Memory Cognition (1987) 13(4):629–639CrossrefGoogle Scholar
  • Ross B. H. Distinguishing types of superficial similarities: Different effects on the access and use of earlier problems. J. Experiment. Psych.: Learn., Memory, Cognition (1989) 15(3):456–468CrossrefGoogle Scholar
  • Ross B. H., Kennedy P. T. Generalizing from the use of earlier examples in problem solving. J. Experiment. Psych.: Learn., Memory, Cognition (1990) 16(1):42–55CrossrefGoogle Scholar
  • Wagner H. M.Principles of Operations Research (1975) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
  • Weaver C. A., Kintsch W. Enhancing students' comprehension of the conceptual structure of algebra word problems. J. Educational Psych. (1992) 84(4):419–428CrossrefGoogle Scholar
  • Weiss H. J., Gershon M. E.Production and Operations Management (1993) 2nd ed.(Allyn and Bacon, Boston, MA) Google Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.