Enhancing mathematical problem solving among third-grade students with schema-based instruction

Journal of Educational Psychology

Volumn 96, Issue 4, 2004, Pages 635-647

  Fuchs, Lynn S ^a,b   Fuchs, Douglas ^a,b   Prentice, Karin ^a,b   Hamlett, Carol L ^a,b   Finelli, Robin ^a,b   Courey, Susan J ^a,b  

^a VANDERBILT UNIVERSITY   (United States)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10844247070     PISSN: 00220663     EISSN: None     Source Type: Journal    
DOI: 10.1037/0022-0663.96.4.635     Document Type: Article

References (33)

1. Bransford, J. D., & Schwartz, D. L. (1999). Rethinking transfer: A simple proposal with multiple implications. In A. Iran-Nejad & P. D. Pearson (Eds.), Review of research in education (pp. 61-100). Washington, DC: American Educational Research Association.
2. Brown, A. L., & Campione, J. C. (1984). Three faces of transfer: Implications for early competence, individual differences, and instruction. In M. Lamb, A. Brown, & B. Rogoff (Eds.), Advances in developmental psychology (Vol. 3, pp. 143-192). Hillsdale, NJ: Erlbaum.
3. Burton, G. M., & Maletsky, E. M. (1999). Math advantage. Orlando, FL: Harcourt, Brace, Jovanovich.
4. Chen, Z. (1999). Schema induction in children's analogical problem solving. Journal of Educational Psychology, 91, 703-715.
5. Chi, M. T. H., Feltovich, P. J., & Glaser, R. (1981). Categorization and representation of physics problems by experts and novices. Cognitive Science, 5, 121-152.
6. Cooper, G., & Sweller, J. (1987). Effects of schema acquisition and rule automation on mathematical problem-solving transfer. Journal of Educational Psychology, 79, 347-362.
7. CTB/McGraw-Hill. (1997). TerraNova technical manual. Monterey, CA: Author.
8. Cummins, D. D. (1992). Role of analogical reasoning in the induction of problem categories. Journal of Experimental Psychology: Learning, Memory, and Cognition, 18, 1103-1124.
9. Fuchs, L. S., Fuchs, D., Karns, K., Hamlett, C. L., Dutka, S., & Katzaroff, M. (2000). The importance of providing background information on the structure and scoring of performance assessments. Applied Measurement in Education, 13, 1-34.
10. Fuchs, L. S., Fuchs, D., Karns, K., Hamlett, C. L., & Katzaroff, M. (1999). Mathematics performance assessment in the classroom: Effects on teacher planning and student learning. American Educational Research Journal, 36, 609-646.
11. Fuchs, L. S., Fuchs, D., Prentice, K., Burch, M., Hamlett, C. L., Owen, R., Hosp, M., & Janeck, D. (2003). Explicitly teaching for transfer: Effects on third-grade students' mathematical problem solving. Journal of Educational Psychology, 95, 293-304.
12. Fuchs, L. S., Fuchs, D., Prentice, K., Burch, M., Hamlett, C. L., Owen, R., & Schroeter, K. (2003). Enhancing third-grade students' mathematical problem solving with self-regulated learning strategies. Journal of Educational Psychology, 95, 306-315.
13. Gentner, D. (1988). Metaphor as structure mapping: The relational shift. Child Development, 59, 47-59.
14. Gentner, D. (1989). The mechanisms of analogical learning. In S. Vosniadou & A. Ortony (Eds.), Similarity and analogical reasoning (pp. 199-241). Cambridge, England: Cambridge University Press.
15. Gholson, B., Eymard, L. A., Morgan, D., & Kamhi, A. G. (1987). Problem solving, recall, and isomorphic transfer among third-grade and sixth-grade children. Journal of Experimental Child Psychology, 43, 227-243.
16. Gick, M. L., & Holyoak, K. J. (1980). Analogical problem solving. Cognitive Psychologist, 12, 306-355.
17. Glass, G. V., McGaw, B., & Smith, M. L. (1981). Meta-analysis in social research. Beverly Hills, CA: Sage.
18. Hedges, L. V., & Olkin, I. (1985). Statistical methods for meta-analysis. Orlando, FL: Academic Press.
19. Hinsley, D. A., Hayes, J. R., & Simon, H. A. (1977). From words to equations: Meaning and representation in algebra word problems. In M. A. Just & P. A. Carpenter (Eds.). Cognitive processes in comprehension (pp. 89-108). Hillsdale, NJ: Erlbaum.
20. Jitendra, A. K., Griffin, C. C., McGoey, K., Gardill, M. C., Bhat, P., & Riley, T. (1998). Effects of mathematical word problem solving by students at risk or with mild disabilities. Journal of Educational Research, 91, 345-355.
21. Kansas State Board of Education. (1991). Kansas Quality Performance Accreditation. Topeka, KS: Author.
22. Mawer, R., & Sweller, J. (1985). What do students learn while solving mathematics problems? Journal of Educational Psychology, 77, 272-284.
23. Mayer, D. P. (1998). Do new teaching standards undermine performance on old tests? Educational Evaluation and Policy Analysis, 15, 1-16.
24. Mayer, R. E. (1992). Thinking, problem solving, cognition (2nd ed.). New York: Freeman.
25. Mayer, R. E., Quilici, J. L., & Moreno, R. (1999). What is learned in an after-school computer club? Journal of Educational Computing Research, 20, 223-235.
26. Quilici, J. L., & Mayer, R. E. (1996). Role of examples in how students learn to categorize statistics word problems. Journal of Educational Psychology, 88, 144-161.
27. Rozin, P. (1976). The evolution of intelligence and access to the cognitive unconscious. Progress in Psychobiology and Physical Psychology, 6, 245-280.
28. Schwartz, D. L., & Bransford, J. D. (1998). A time for telling. Cognition and Instruction, 16, 475-522.
29. Seaman, M. A., Levin, J. R., & Serlin, R. C. (1991). New developments in pairwise multiple comparisons: Some powerful and practical problems. Psychological Bulletin, 110, 577-586.
30. Sweller, J., & Cooper, G. A. (1985). The use of worked examples as a substitute for problem solving in learning algebra. Cognition and instruction, 2, 59-89.
31. U.S. Department of Education. (1999). To assure the free, appropriate public education of all children with disabilities: Twenty-first report to Congress on the implementation of the Individuals With Disabilities Education Act. Washington, DC: Government Printing Office.
32. White, O. R. (1984). Descriptive analysis of extant research literature concerning skill generalization and the handicapped. In M. Boer (Ed.), Investigating the problem of skill generalization: Literature review (pp. 1-19). Seattle: University of Washington. Washington Research Organization.
33. Woodward, J., & Baxter, J. (1997). The effects of an innovative approach to mathematics on academically low-achieving students in inclusive settings. Exceptional Children, 63, 373-388.