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Misleading intuition in algorithmic problem solving

Published: 01 February 2001 Publication History

Abstract

This paper presents a study of misleading intuition in the domain of algorithmic problem solving. I noticed incorrect intuitive solutions to challenging algorithmic problems and interviewed students on their solutions. The students arrived at an erroneous conviction rather rapidly and demonstrated overconfidence and reinforcement of their incorrect ideas when presented with new evidence. I present two colorful and unfamiliar algorithmic challenges posed to the students, describe and discuss my experience, and offer some suggestions for reducing the effect of misleading intuition.

References

[1]
Bergson, H., Creative Evolution, Translated by A. Mitchell, Macmillan & Co. Ltd., London 1954 (First edition 1911).
[2]
Cormen, H. T., Leiserson, C. E., and Rivest, R. L., Introduction to Algorithms, MIT Press, Massachusetts 1991.
[3]
Fischbein, E., Intuition in Science and Mathematics, D. Reidel Publishing Company, Dordrecht, Holland 1987.
[4]
Manber, U., Introduction to Algorithms - A Creative Approach, Addison-Wesley Pub, 1989.
[5]
Schoenfeld, A., Learning to think mathematically: problem solving, metacognition, and sense making in mathematics, Handbook of Research on Mathematics Teaching and Learning, pp 334-370, Macmillan, 1992.

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  • (2024)What Is an Algorithm?Encyclopedia of Information Science and Technology, Sixth Edition10.4018/978-1-6684-7366-5.ch072(1-17)Online publication date: 1-Jul-2024
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cover image ACM Conferences
SIGCSE '01: Proceedings of the thirty-second SIGCSE technical symposium on Computer Science Education
February 2001
456 pages
ISBN:1581133294
DOI:10.1145/364447
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 01 February 2001

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SIGCSE '01 Paper Acceptance Rate 78 of 225 submissions, 35%;
Overall Acceptance Rate 1,787 of 5,146 submissions, 35%

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Cited By

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  • (2024)What Is an Algorithm?Encyclopedia of Information Science and Technology, Sixth Edition10.4018/978-1-6684-7366-5.ch072(1-17)Online publication date: 1-Jul-2024
  • (2021)The methodology of economic recovery of commercial companies in crisis conditionsIOP Conference Series: Materials Science and Engineering10.1088/1757-899X/1009/1/0120441009(012044)Online publication date: 16-Jan-2021
  • (2013)Designing and supporting collaborative learning activitiesProceeding of the 44th ACM technical symposium on Computer science education10.1145/2445196.2445354(537-538)Online publication date: 6-Mar-2013
  • (2010)A non-linear approach to solving linear algorithmic problems2010 IEEE Frontiers in Education Conference (FIE)10.1109/FIE.2010.5673643(F1D-1-F1D-6)Online publication date: Oct-2010
  • (2009)Easing the transitionProceedings of the Eleventh Australasian Conference on Computing Education - Volume 9510.5555/1862712.1862725(65-74)Online publication date: 1-Jan-2009
  • (2009)Developing authentic problem solving skills in introductory computing classesACM SIGCSE Bulletin10.1145/1539024.150887141:1(4-8)Online publication date: 4-Mar-2009
  • (2009)Developing authentic problem solving skills in introductory computing classesProceedings of the 40th ACM technical symposium on Computer science education10.1145/1508865.1508871(4-8)Online publication date: 4-Mar-2009
  • (2008)Learning from wrong and creative algorithm designACM SIGCSE Bulletin10.1145/1352322.135214840:1(26-30)Online publication date: 12-Mar-2008
  • (2008)Learning from wrong and creative algorithm designProceedings of the 39th SIGCSE technical symposium on Computer science education10.1145/1352135.1352148(26-30)Online publication date: 12-Mar-2008
  • (2001)Teaching to identify problems in a creative way31st Annual Frontiers in Education Conference. Impact on Engineering and Science Education. Conference Proceedings (Cat. No.01CH37193)10.1109/FIE.2001.963846(TID-8-TID-13)Online publication date: 2001
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