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Representing Category and Continuum: Visualizing Thought

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Diagrammatic Representation and Inference (Diagrams 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7352))

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Abstract

Abstract thought has roots in the spatial world. Abstractions are expressed in the ways things are arranged in the world as well as the ways people talk and gesture. Mappings to the page should be better when they are congruent, that is, when the abstract concept matches the spatial one. Congruent mappings can be revealed in people’s performance and preferences. Congruence is supported here for visual representations of continuum and category. Congruently mapping a continuous concept, frequency, to a continuous visual variable and mapping a categorical concept, class inclusion, to a categorical visual variable were preferred and led to better performance than the reverse mappings.

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References

  1. Bertin, J.: Graphics and Graphic Information Processing. Walter de Gruyter, New York (1981)

    Book  Google Scholar 

  2. Boroditsky, L.: Metaphoric Structuring: Understanding Time Through Spatial Metaphors. Cognition 75, 1–28 (2000)

    Article  Google Scholar 

  3. Cleveland, W.S.: The Elements of Graphing Data. Wadsworth, Monterey (1985)

    Google Scholar 

  4. Cooper, W.E., Ross, J.R.: World Order. In: Grossman, R.E., San, L.J., Vances, T.J. (eds.) Papers From the Parasession on Functionalism, pp. 63–111. Chicago Linguistic Society, Chicago (1975)

    Google Scholar 

  5. Harel, D.: Statecharts: A Visual Formalism for Complex Systems. Science of Computer Programming 8, 231–274 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kessell, A.M., Tversky, B.: Visualizing Space, Time, and Agents: Production, Performance, and Preference. Cognitive Processing 12, 43–52 (2011)

    Article  Google Scholar 

  7. Lakoff, G., Johnson, M.: Metaphors We Live By. University of Chicago Press, Chicago (1980)

    Google Scholar 

  8. Landy, D., Goldstone, R.L.: How Abstract is Symbolic Thought? Journal of Experimental Psychology: Learning, Memory, & Cognition 33, 720–733 (2007)

    Article  Google Scholar 

  9. Nickerson, J.V., Tversky, B., Corter, J.E., Yu, L., Mason, D.: Thinking with Networks. In: Proceedings of the 32nd Annual Conference of the Cognitive Science Society (2010)

    Google Scholar 

  10. Norman, D.A.: Things That Make us Smart. Addison-Wesley, Reading (1993)

    Google Scholar 

  11. Novick, L.R., Hurley, S.M.: To Matrix, Network, or Hierarchy: That is the Question. Cognitive Psychology 42, 158–216 (2001)

    Article  Google Scholar 

  12. Shepard, R.N.: Perceptual-cognitive Universals as Reflections of the World. Behavioral and Brain Sciences 24, 581–601 (2001)

    Google Scholar 

  13. Talmy, L.: How language Structures Space. In: Pick Jr., H.L., Acredolo, L.P. (eds.) Spatial Orientation: Theory, Research and Application, pp. 225–282. Plenum, New York (1983)

    Google Scholar 

  14. Tollis, I.G., Di Battista, G., Eades, P., Tamasssia, R.: Graph Drawing: Algorithms for the Visualization of Graphs. Prentice Hall, New York (1998)

    Google Scholar 

  15. Tversky, B.: Spatial schemas in depictions. In: Gattis, M. (ed.) Spatial Schemas and Abstract Thought, pp. 79–111. MIT Press, Cambridge (2001)

    Google Scholar 

  16. Tversky, B.: Tools for Thought. In: Benedetti, B., Cook, V. (eds.) Language and Bilingual Cognition, pp. 131–139. Psychology Press, New York (2011a)

    Google Scholar 

  17. Tversky, B.: Visualizing Thought. Topics in Cognitive Science 3, 499–535 (2011b)

    Article  Google Scholar 

  18. Tversky, B., Agrawala, M., Heiser, J., Lee, P.U., Hanrahan, P., Phan, D., Stolte, C., Daniel, M.-P.: Cognitive Design Principles for Generating Visualizations. In: Allen, G. (ed.) Applied Spatial Cognition: From Research to Cognitive Technology, pp. 53–73. Erlbaum, Mahwah (2007)

    Google Scholar 

  19. Tversky, B., Kugelmass, S., Winter, A.: Cross-cultural and Developmental Trends in Graphic Productions. Cognitive Psychology 23, 515–557 (1991)

    Article  Google Scholar 

  20. Tversky, B., Morrison, J.B., Betrancourt, M.: Animation: Can it Facilitate? International Journal of Human Computer Studies 57, 247–262 (2002)

    Article  Google Scholar 

  21. Tversky, B., Zacks, J., Lee, P., Heiser, J.: Lines, Blobs, Crosses and Arrows: Diagrammatic Communication with Schematic Figures. In: Anderson, M., Cheng, P., Haarslev, V. (eds.) Diagrams 2000. LNCS (LNAI), vol. 1889, pp. 221–230. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  22. Zacks, J., Tversky, B.: Bars and Lines: A Study of Graphic Communication. Memory and Cognition 27, 1073–1079 (1999)

    Article  Google Scholar 

  23. Zahner, D., Corter, J.E.: The process of probability problem solving: Use of external visual representations. Mathematical Thinking and Learning 12, 177–204 (2010)

    Article  Google Scholar 

  24. Zhang, J.: External representations in complex information processing tasks. In: Kent, A. (ed.) Encyclopedia of Library and Information Science, vol. 68, pp. 164–180. Marcel Dekker, Inc., New York (2000)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Tversky, B., Corter, J.E., Yu, L., Mason, D.L., Nickerson, J.V. (2012). Representing Category and Continuum: Visualizing Thought. In: Cox, P., Plimmer, B., Rodgers, P. (eds) Diagrammatic Representation and Inference. Diagrams 2012. Lecture Notes in Computer Science(), vol 7352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31223-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-31223-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31222-9

  • Online ISBN: 978-3-642-31223-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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