What's in Dots-Per-Box? Conceptual Bootstrapping with Stripped-Down Visual Analogs

Journal of the Learning Sciences

Volumn 6, Issue 2, 1997, Pages 143-181

  Smith, Carol ^a   Unger, Chris ^b  

^a UNIVERSITY OF MASSACHUSETTS BOSTON   (United States)

^b HARVARD GRADUATE SCHOOL OF EDUCATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031496042     PISSN: 10508406     EISSN: None     Source Type: Journal    
DOI: 10.1207/s15327809jls0602_1     Document Type: Article

References (35)

1. Bassok, M., & Holyoak, K. (1989). Interdomain transfer between isomorphic topics in algebra and physics. Journal of Experimental Psychology: Learning, Memory, and Cognition, 15, 153-166.
2. Bransford, J., Sherwood, R., Vye, N., & Rieser, J. (1986). Teaching thinking and problem solving. American Psychologist, 41, 1078-1089.
3. Carey, S., & Spelke, L. (1994). Domain specific knowledge and conceptual change. In L. Hirschfeld & S. Gelman (Eds.), Mapping the mind (pp. 169-200). Cambridge, England: Cambridge University Press.
4. Clement, J. (1993). Using bridging analogies and anchoring intuitions to deal with students' preconceptions in physics. Journal of Research in Science Teaching, 30, 1241-1257.
5. Clement, J. (in press). Model construction in scientists and students: Case studies of imagery, analogy, and physical intuition. Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
6. Gentner, D. (1989). The mechanism of analogical learning. In S. Vosniadou & A. Ortony (Eds.), Similarity and analogical reasoning (pp. 200-241). Cambridge, England: Cambridge University Press.
7. Gick, M. L., & Holyoak, K. J. (1980). Analogical problem solving. Cognitive Psychology, 12, 306-355.
8. Gick, M. L., & Holyoak, K. J. (1983). Schema induction and analogical transfer. Cognitive Psychology, 15, 1-38.
9. Hart, K. (1988). Ratio and proportion. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 198-219). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
10. Karplus, R., Pulos, S., & Stage, E. K. (1983). Proportional reasoning of early adolescents. In R. Lesh & M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 45-91). New York: Academic.
11. Lesh, R., Landau, M., & Hamilton, E. (1983). Conceptual models and applied mathematical problem solving. In R. Lesh & M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 45-91). New York: Academic.
12. Lesh, R., Post, T., & Behr, M. (1988). Proportional reasoning. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 93-118). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
13. Noelting, G. (1980a). The development of proportional reasoning and the ratio concept. Part I: Differentiation of stages. Educational Studies in Mathematics, 11, 217-253.
14. Noelting, G. (1980b). The development of proportional reasoning and the ratio concept. Part II: Problem-structure at successive stages: Problem-solving strategies and the mechanism of adaptive restructuring. Educational Studies in Mathematics, 11, 331-363.
15. Novick, L., & Hmelo, C. (1994). Transferring symbolic representations across nonisomorphic problems. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20, 1296-1321.
16. Perkins, D. N., & Unger, C. M. (1994). A new look in representations for mathematics and science learning. Instructional Science, 22, 1-37.
17. Pintrich, P., Marx, R., & Boyle, R. (1993). Beyond cold conceptual change: The role of motivational beliefs and classroom contextual factors in the process of conceptual change. Review of Educational Research, 63, 167-200.
18. Quintero, A. H. (1980). The role of semantic understanding in solving multiplication word problems. Unpublished doctoral dissertation, Massachusetts Institute of Technology, Cambridge.
19. Quintero, A. H., & Schwartz, J. (1982). The development of the concept of ratio in children (WP-5, DSRE Working Paper Series). Cambridge: Massachusetts Institute of Technology, Division of Studies and Research in Education.
20. Schwartz, J. (1988). Intensive quantity and referent transforming arithmetic operations. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 41-52). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
21. Smith, C., Carey, S., & Wiser, M. (1985). On differentiation: A case study of the development of the concepts of size, weight and density. Cognition, 21, 171-237.
22. Smith, C., Grosslight, L., Davis, H., Unger, C., & Snir, J. (1994). Using conceptual models with inner city students: The promise and the prerequisites. Unpublished manuscript.
23. Smith, C., Maclin, D., Grosslight, L., & Davis, H. (1996). Teaching for understanding: A comparison of two approaches to teaching about matter and density. Unpublished manuscript.
24. Smith, C., Snir, J., & Grosslight, L. (1992). Using conceptual models to facilitate conceptual change: The case of weight-density differentiation. Cognition and Instruction, 9, 221-283.
25. Snir, J., & Raz, B. (1989). The Three-Events Program. Unpublished educational software, Educational Technology Center, Harvard Graduate School of Education, Cambridge, MA.
26. Snir, J., Smith, C., & Grosslight, L. (1993). Conceptually enhanced simulations: A computer tool for science teaching. Journal of Science Education and Technology, 2, 373-388.
27. Strike, K., & Posner, G. (1985). A conceptual change view of learning and understanding. In L. West & A. L. Pines (Eds.), Cognitive structure and conceptual change (pp. 211-231). New York: Academic.
28. 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.
29. Viennot, L. (1979). Spontaneous reasoning in elementary dynamics. European Journal of Science Education, 1, 205-221.
30. White, B., & Horwitz, P. (1987). ThinkerTools: Enabling children to understand physical laws (BBN Rep. No. 6470). Cambridge, MA: Bolt, Beranek, & Newman.
31. Wiser, M. (1987). The differentiation of heat and temperature: History of science and novice-expert shift. In S. Strauss (Ed.), Ontogeny, phylogeny, and historical development (pp. 28-48). Norwood, NJ: Ablex.
32. Wiser, M. (1995). Use of history of science to understand and remedy students' misconceptions about heat and temperature. In D. Perkins, J. Schwartz, M. West, & M. Wiske (Eds.), Software goes to school (pp. 23-38). New York: Oxford University Press.
33. Wiser, M., Grosslight, L., & Unger, C. (1989). Can conceptual models aid ninth graders' differentiation of heat and temperature? (Tech. Rep. No. TR 89-6). Cambridge, MA: Harvard Graduate School of Education, Educational Technology Center.
34. Wiser, M., Kipman, D., & Halkiadakis, L. (1988). Can models foster conceptual change? The case of heat and temperature (Tech. Rep. No. TR 88-87). Cambridge, MA: Harvard Graduate School of Education, Educational Technology Center.
35. Zhu, X., & Simon, H. (1987). Learning mathematics from examples and by doing. Cognition and Instruction, 4, 137-166.