Analogy use in eighth-grade mathematics classrooms

Cognition and Instruction

Volumn 22, Issue 1, 2004, Pages 37-60

  Richland, Lindsey E ^a   Holyoak, Keith J ^a   Stigler, James W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442535873     PISSN: 07370008     EISSN: None     Source Type: Journal    
DOI: 10.1207/s1532690Xci2201_2     Document Type: Article

References (29)

1. Bassok, M. (2001). Semantic alignments in mathematical word problems. In D. Gentner, K. J. Holyoak, & B. N. Kokinov (Eds.), The analogical mind: Perspectives from cognitive science (pp. 401-433). Cambridge, MA: MIT Press.
2. Brown, A. L., & Kane, M. J. (1988). Preschool children can learn to transfer: Learning to learn and learning from example. Cognitive Psychology, 20, 493-523.
3. Chen, Z., Sanchez, R., & Campbell, T. (1997). From beyond to within their grasp: Analogical problem solving in 10 and 13 month-olds. Developmental Psychology, 33, 790-801.
4. Dunbar, K. (1995). How scientists really reason: Scientific reasoning in real-world laboratories. In R. J. Sternberg & J. E. Davidson (Eds.), The nature of insight (pp. 365-395). Cambridge, MA: MIT Press.
5. Dunbar, K. (1997). How scientists think: On-line creativity and conceptual change in science. In T. B. Ward, S. M. Smith, & J. Vaid (Eds.), Creative thought: An investigation of conceptual structures and processes (pp. 461-493). Washington, DC: American Psychological Association.
6. Dunbar, K. (2001). The analogical paradox: Why analogy is so easy in naturalistic settings yet so difficult in the psychological laboratory. In D. Gentner, K. J. Holyoak, & B. N. Kokinov (Eds.), The analogical mind: Perspectives from cognitive science (pp. 313-334). Cambridge, MA: MIT Press.
7. Gentner, D. (1983). Structure-mapping: A theoretical framework for analogy. Cognitive Science, 7, 155-170.
8. Gentner, D., Holyoak, K. J., & Kokinov, B. (Eds.). (2001). The analogical mind: Perspectives from cognitive science. Cambridge, MA: MIT Press.
9. Gentner, D., & Toupin, C. (1986). Systematicity and surface similarity in the development of analogy. Cognitive Science, 10, 277-300.
10. Gick, M. L., & Holyoak, K. J. (1980). Analogical problem solving. Cognitive Psychology, 15, 306-355.
11. Gick, M. L., & Holyoak, K. J. (1983). Schema induction and analogical transfer. Cognitive Psychology, 15, 1-38.
12. Goswami, U. (1992). Analogical reasoning in children. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
13. Goswami, U. (2001). Analogical reasoning in children. In D. Gentner, K. J. Holyoak, & B. N. Kokinov (Eds.), The analogical mind: Perspectives from cognitive science (pp. 437-470). Cambridge, MA: MIT Press.
14. Goswami, U., & Brown, A. L. (1989). Melting chocolate and melting snowmen: Analogical reasoning and causal relations. Cognition, 35, 69-95.
15. Holyoak, K. J. (1985). The pragmatics of analogical transfer. In G. H. Bower (Ed.), The psychology of learning and motivation (Vol 19, pp. 59-87). New York: Academic.
16. Holyoak, K. J., Junn, E. N., & Billman, D. (1984). Development of analogical problem-solving skill. Child Development, 55, 2042-2055.
17. Holyoak, K. J., Novick, L., & Metz, E. R. (1994). Component processes in analogical transfer: Mapping, pattern completion, and adaptation. In K. J. Holyoak & J. A. Barnden (Eds), Advances in connectionist and neural computation theory: Vol 2. Analogical connections (pp. 113-180). Norwood, NJ: Ablex.
18. Holyoak, K. J., & Thagard, P. (1995). Mental leaps: Analogy in creative thought. Cambridge, MA: MIT Press.
19. Inhelder, B., & Piaget, J. (1964). The early growth of logic in the child. London: Routledge & Kegan Paul.
20. Knoll, S., & Stigler, J. W. (1999). Management and analysis of large-scale videa surveys using the software v-prism™. International Journal of Education Research, 31, 725-734.
21. Kolodner, J. L. (1997). Educational implications of analogy: A view from case-based reasoning. American Psychologist, 52, 7-66.
22. Novick, L. R. (1988). Analogical transfer, problem similarity, and expertise. Journal of Experimental psychology: Learning, Memory, and Cognition, 14, 510-520.
23. Novick, L. R., & Holyoak, K. J. (1991). Mathematical problem solving by analogy. Journal of Experimental Psychology: Learning, Memory, and Cognition, 17, 398-415.
24. Reed, S. K., Dempster, A., & Ettinger, M. (1985). Usefulness of analogous solutions for solving algebra word problems. Journal of Experimental Psychology: Learning, Memory, and Cognition, 11, 106-125.
25. Ross, B. H. (1987). This is like that: The use of earlier problems and the separation of similarity effects. Journal of Experimental Psychology: Learning, Memory, and Cognition, 13, 629-639.
26. Ross, B. H. (1989). Distinguishing types of superficial similarities: Different effects on the access and use of earlier problems. Journal of Experimental Psychology: Learning, Memory, and Cognition, 15, 456-468.
27. Sternberg, R. J. (1977). Intelligence, information processing and analogical reasoning: The componential analysis of human abilities. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
28. Stigler, J. W., Gallimore, R., & Hiebert, J. (2000). Using video surveys to compare classrooms and teaching across cultures: Examples and lessons from the TIMSS video studies. Educational Psychologist, 35, 87-100.
29. Stigler, J. W., Gonzales, P., Kawanaka, T., Knoll, S., & Serrano, A. (1999). The TIMSS videotape classroom study: Methods and findings from an exploratory research project on eighth-grade mathematics instruction in Germany, Japan, and the United States (NCES 1999-074). Washington, DC: U.S. Department of Education, National Center for Educational Statistics.