Mapping relational structure in spatial reasoning

Cognitive Science

Volumn 28, Issue 4, 2004, Pages 589-610

  Gattis, Merideth ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

Conjuctive and disjuctive reasoning; Diagrammatic reasoning; Iconicity; Relational structure; Spatial reasoning; Structure mapping

Indexed keywords

EID: 2942648564     PISSN: 03640213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cogsci.2004.02.001     Document Type: Article

References (57)

1. Bauer M.I. Johnson-Laird P.N. How diagrams can improve reasoning Psychological Science 4 1993 372-378
2. Beveridge M. Parkins E. Visual representation in analogical problem solving Memory & Cognition 15 1987 230-237
3. Bloom P. Markson L. Intention and analogy in children's naming of pictorial representations Psychological Science 9 1998 200-204
4. Bloom, P., Peterson, M., Nadel, L., & Garrett, M. (1996). Language and space. Cambridge, MA: MIT Press.
5. Cheng P.C.H. Interactive law encoding diagrams for learning and instruction Learning and Instruction 9 1999 309-325
6. Cheng P.C.H. Electrifying diagrams for learning: Principles for complex representational systems Cognitive Science 26 2002 685-736
7. Eels, E. (1991). Probabilistic causality. Cambridge: Cambridge University Press.
8. Emmorey, K. (1996). The confluence of space and language in signed languages. In P. Bloom, M. Peterson, L. Nadel, & M. Garrett (Eds.), Language and space (pp. 171-209). Cambridge, MA: MIT Press.
9. Emmorey, K. (2001). Space on hand: The exploitation of signing space to illustrate abstract thought. In M. Gattis (Ed.), Spatial schemas in abstract thought (pp. 147-174). Cambridge, MA: MIT Press.
10. Fisher C. Structural limits on verb mapping: The role of analogy in children's interpretation of sentences Cognitive Psychology 31 1996 41-81
11. Fromkin, V., & Rodman, R. (1998). An introduction to language (6th ed.). Fort Worth, TX: Harcourt Brace.
12. Funt B.V. Problem-solving with diagrammatic representations Artificial Intelligence 13 1980 201-230
13. Gattis, M. (2001). Mapping conceptual and spatial schemas. In M. Gattis (Ed.), Spatial schemas in abstract thought (pp. 223-245). Cambridge, MA: MIT Press.
14. Gattis M. Structure mapping in spatial reasoning Cognitive Development 17 2002 1157-1183
15. Gattis M. How similarity shapes diagrams Lecture Notes in Artificial Intelligence 2685 2003 249-262
16. Gattis, M., & Dupeyrat, C. (2000). Spatial strategies in reasoning. In W. Schaeken, A. Vandierendonck, & G. de Vooght (Eds.), Deductive reasoning and strategies (pp. 153-175). Hillsdale, NJ: Erlbaum.
17. Gattis, M., & Dupeyrat, C. (2003). Spatial schemas in everyday reasoning. Manuscript in preparation.
18. Gattis M. Holyoak K.J. Mapping conceptual to spatial relations in visual reasoning Journal of Experimental Psychology: Learning, Memory, and Cognition 22 1996 231-239
19. Gentner D. Children's performance on a spatial analogies task Child Development 48 1977 1034-1039
20. Gentner D. Structure-mapping: A theoretical framework for analogy Cognitive Science 7 1983 155-170
21. Gentner D. Metaphor as structure mapping: The relational shift Child Development 59 1988 47-59
22. Gentner, D., & Rattermann, M. J. (1991). Language and the career of similarity. In S. Gelman & J. P. Byrnes (Eds.), Perspectives on thought and language: Interrelations in development. London: Cambridge University Press.
23. Gick M.L. Holyoak K.J. Schema induction and analogical transfer Cognitive Psychology 15 1983 1-38
24. Goldin-Meadow S. McNeill D. Singleton J. Silence is liberating: Removing the handcuffs on grammatical expression in the manual modality Psychological Review 103 1996 34-55
25. Goldstone R.L. Medin D.L. Gentner D. Relational similarity and the nonindependence of features in similarity judgments Cognitive Psychology 23 1991 222-262
26. Goswami, U., & Bryant, P. (1990). Phonological skills and learning to read. Hillsdale, NJ: Lawrence Erlbaum Associates.
27. Handel S. DeSoto C.B. London M. Reasoning and spatial representations Journal of Verbal Learning and Verbal Behavior 7 1968 351-357
28. Hegarty M. Mental animation: Inferring motion from static displays of mechanical systems Journal of Experimental Psychology: Learning, Memory and Cognition 18 1992 1084-1102
29. Holyoak, K. J., Novick, L. R., & Melz, 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.
30. Holyoak K.J. Thagard P. Analogical mapping by constraint satisfaction Cognitive Science 13 1989 295-355
31. Holyoak, K. J., & Thagard, P. (1995). Mental leaps: Analogy in creative thought. Cambridge, MA: The MIT Press.
32. Issing L.J. Learning from pictorial analogies European Journal of Psychology of Education 4 1990 489-499
33. Johnson-Laird, P. N., & Byrne, R. M. J. (1991). Deduction. Essays in Cognitive Psychology Series. London: Lawrence Erlbaum Associates.
34. Kita, S., Danziger, E., & Stolz, C. (2001). Cultural specificity of spatial schemas, as manifested in spontaneous gestures. In M. Gattis (Ed.), Spatial schemas in abstract thought (pp. 115-146). Cambridge, MA: MIT Press.
35. Lakoff, G., & Johnson, M. (1980). Metaphors we live by. Chicago: University of Chicago Press.
36. Larkin J.H. Simon H.A. Why a diagram is (sometimes) worth ten thousand words Cognitive Science 11 1987 65-99
37. Loewenstein J. Gentner D. Spatial mapping in preschoolers: Close comparisons facilitate far mappings Journal of Cognition and Development 2 2001 189-219
38. Markman A.B. Gentner D. Structural alignment during similarity comparisons Cognitive Psychology 25 1993 431-467
39. Mayer R.E. Gallini J.K. When is an illustration worth ten thousand words? Journal of Educational Psychology 82 1990 715-726
40. McNeill, D. (1992). Hand and mind: What gestures reveal about thought. Chicago: University of Chicago Press.
41. Narayan, N. H., Suwa, M., & Motoda, H. (1995). Behavior hypothesis from schematic diagrams. In J. Glasgow, N. H. Narayan, & B. Chandrasekaran (Eds.), Diagrammatic reasoning: Cognitive and computational perspectives (pp. 501-534). Menlo Park, CA: AAAI Press/The MIT Press.
42. Novick L.R. Hurley S.M. To matrix, network, or hierarchy: That is the question Cognitive Psychology 42 2001 158-216
43. Novick L.R. Hurley S.M. Francis M. Evidence for abstract, schematic knowledge of three spatial diagram representations Memory & Cognition 27 1999 288-308
44. Osherson, D. (1995). Probability judgment. In E. E. Smith & D. N. Osherson (Eds.), An invitation to cognitive science, Vol. 3: Thinking (pp. 35-75). Cambridge, MA: The MIT Press.
45. Östermeier U. Hesse F.W. Verbal and visual causal arguments Cognition 75 2000 65-104
46. Pedone R. Hummel J.E. Holyoak K.J. The use of diagrams in analogical problem solving Memory & Cognition 29 2001 214-221
47. Peirce, C. S. (1960). In C. Hartshorne & P. Weiss (Eds.), Collected papers, Vol. II: Elements of logic. Cambridge, MA: The Belknap Press of Harvard University Press. (Original work published 1903).
48. Ross B.H. Distinguishing types of superficial similarities: Different effects on the access and use of earlier problems Journal of Experimental Psychology: Learning, Memory, and Cognition 15 1989 456-468
49. Schwartz D.L. Reasoning about the referent of a pictures versus reasoning about the picture as the referent: An effect of visual realism Memory & Cognition 23 1995 709-722
50. Treiman R. The foundations of literacy Current Directions in Psychological Science 9 2000 89-92
51. Tufte, E. R. (1983). The visual display of quantitative information. Chesire, CT: Graphics Press.
52. Tufte, E. R. (1990). Envisioning information. Chesire, CT: Graphics Press.
53. Tufte, E. R. (1997). Visual explanations. Chesire, CT: Graphics Press.
54. Tversky, B. (1995). Cognitive origins of graphic conventions. In F. T. Marchese (Ed.), Understanding images (pp. 29-53). New York: Springer-Verlag.
55. Tversky, B. (2001). Spatial schemas in depictions. In M. Gattis (Ed.), Spatial schemas in abstract thought (pp. 79-112). Cambridge, MA: MIT Press.
56. Tversky B. Kugelmass S. Winter A. Cross-cultural and developmental trends in graphic productions Cognitive Psychology 23 1991 515-557
57. Werner, H., & Kaplan, B. (1984). Symbol formation: An organismic-developmental approach to the psychology of language. Hillsdale, NJ: Lawrence Erlbaum Associates. (Original work published 1963).