"Buggy algorithms" as attractive variants

Journal of Mathematical Behavior

Volumn 15, Issue 3, 1996, Pages 285-302

  Hatano, Giyoo ^a   Amaiwa, Shizuko ^b   Inagaki, Kayoko ^b  

^a KEIO UNIVERSITY   (Japan)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030240291     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0732-3123(96)90007-3     Document Type: Article

References (21)

1. Baroody Arthur J., Gannon Kathleen E. The development of the commutativity principle and economical addition strategies. Cognition and Instruction. 1:1984;321-339.
2. Brown John Seely, Burton Richard B. Diagnostic models for procedural bugs in basic mathematical skills. Cognitive Science. 2:1978;155-192.
3. Brown John Seely, VanLehn Kurt. Repair theory: A generative theory of bugs in procedural skills. Cognitive Science. 4:1980;379-426.
4. Brown John Seely, VanLehn Kurt. Toward a generative theory of "bugs" Carpenter T.P., Moser J.M., Romberg T.A. Addition and subtraction: A cognitive perspective. 1982;117-136 Erlbaum, Hillsdale, NJ.
5. Cauley Kathleen M. Construction of logical knowledge: Study of borrowing in subtraction. Journal of Educational Psychology. 80:1988;202-205.
6. Cobb Paul. A constructivist perspective on information-processing theories of mathematical activity. International Journal of Educational Research. 14:1990;67-92.
7. Davis Robert D., McKnight Curtis. The influence of semantic content on algorithmic behavior. Journal of Mathematical Behavior. 3:1990;39-87.
8. De Corte Erik, Greer Brian, Verschaffel Lieven. Mathematics learning and teaching. Berliner D., Calfee R. Handbook of educational psychology. 1996;Macmillan, New York.
9. Hennessy Sara. The stability of children's mathematical behavior: When is a bug really a bug? Learning and Instruction. 3:1993;315-338.
10. Morita Eiji, Sato Hitoshi, Hoshino Akihiko. A study of errors in multi-digit subtraction: An alternative view. Bulletin of the Chiba University Center for Educational Technology. 8:1987;41-62.
11. Resnick Lauren B. Syntax and semantics in learning to subtract. Carpenter T.P., Moser M.M., Romberg T.A. Addition and subtraction: A cognitive perspective. 1982;137-155 Erlbaum, Hillsdale, NJ.
12. Resnick Lauren B. A developmental theory of number understanding. Ginsburg H.P. The development of mathematical thinking. 1983;109-151 Academic, New York.
13. Resnick Lauren B. Constructing knowledge in school. Liben L.S., Feldman D.H. Development and learning: Conflict or congruence? 1987;19-50 Erlbaum, Hillsdale, NJ.
14. Scribner Sylvia. Studying working intelligence. Rogoff B., Lave J. Everyday cognition. 1984;9-40 Harvard University Press, Cambridge, MA.
15. Siegler Robert S. Unities in strategy choices across domains. Perlmutter M. Minnesota symposium on child development. Vol. 19:1986;1-48 Erlbaum, Hillsdale, NJ.
16. Siegler Robert S. Strategy choices in subtraction. Sloboda J.A., Rogers D. Cognitive processes in mathematics. 1987;81-106 Clarendon, Oxford, UK.
17. Siegler Robert S. Children's thinking. 2nd ed. 1991;Prentice-Hall, Englewood Cliffs, NJ.
18. Suga Yasuko, Hatano Giyoo. A taxonomy of buggy procedures in multidigit subtraction. 1987, October;. Paper presented at the 29th annual convention of the Japanese Association of Educational Psychology, Tokyo.
19. VanLehn Kurt. Bugs are not enough: Empirical studies of bugs, impasses and repairs in procedural skills. Journal of Mathematical Behavior. 3:1982;3-72.
20. VanLehn Kurt. Mind bugs: The origin of procedural misconceptions. 1990;MIT Press, Cambridge, MA.
21. Young Richard M., O'Shea Tim. Errors in children's subtraction. Cognitive Science. 5:1981;153-177.