Skip to main content

Spatial Primitives from a Cognitive Perspective: Sensitivity to Changes in Various Geometric Properties

  • Conference paper
Book cover Spatial Information Theory (COSIT 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8116))

Included in the following conference series:

Abstract

This study addressed the issue of spatial concepts by examining the perception of changes in shape, orientation, size, and cyclic order caused by the transformations of deformation, rotation, scaling, and reflection. 49 participants viewed 36 geometric configurations to which different types and degrees of transformations were applied, and answered how much they thought the configurations were different from each other. Participants perceived deformed configurations as more dissimilar as the degree of deformation became larger. Participants’ perception of geometric properties, however, did not conform to the mathematical classification of transformations. They discriminated between deformed, rotated, scaled, and reflected configurations when the degree of deformation was small; but the perceived difference became smaller as the degree of deformation became larger. Furthermore, mental-rotation ability affected the sensitivity to geometric properties, with low-spatial people attending to changes in orientation caused by rotation and reflection. Implications for spatial learning and education are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Casey, M.B., Nuttall, R.L., Pezaris, E.: Mediators of gender differences in mathematics college entrance test scores: A comparison of spatial skills with internalized beliefs and anxieties. Developmental Psychology 33, 669–680 (1997)

    Article  Google Scholar 

  • Ekstrom, R.B., French, J.W., Harman, H.H., Dermen, D.: Kit of Factor-Referenced Cognitive Tests. Educational Testing Service, Princeton (1976)

    Google Scholar 

  • Gans, D.: Transformations and Geometries. Appleton-Century-Crofts, New York (1969)

    MATH  Google Scholar 

  • Gersmehl, P.J., Gersmehl, C.A.: Spatial thinking by young children: Neurologic evidence for early development and “educability”. Journal of Geography 106, 181–191 (2007)

    Article  Google Scholar 

  • Gescheider, G.A.: Psychophysics: The Fundamentals, 3rd edn. Erlbaum, Mahwah (1997)

    Google Scholar 

  • Girden, E.R.: ANOVA: Repeated Measures (Sage University Paper Series on Quantitative Applications in the Social Sciences, Series No. 07–084). Sage, Newbury Park (1992)

    Google Scholar 

  • Golledge, R.G.: Do people understand spatial concepts: The case of first-order primitives. In: Frank, A.U., Formentini, U., Campari, I. (eds.) GIS 1992. LNCS, vol. 639, pp. 1–21. Springer, Heidelberg (1992)

    Chapter  Google Scholar 

  • Golledge, R.G.: The nature of geographic knowledge. Annals of the Association of American Geographers 92, 1–14 (2002)

    Article  Google Scholar 

  • Golledge, R.G., Marsh, M., Battersby, S.: A conceptual framework for facilitating geospatial thinking. Annals of the Association of American Geographers 98, 285–308 (2008)

    Article  Google Scholar 

  • Goodchild, M.F.: The fourth R? Rethinking GIS education. Arc News 28(3), 11 (2006)

    Google Scholar 

  • Hegarty, M.: Components of spatial intelligence. Psychology of Learning and Motivation 52, 265–297 (2010)

    Article  Google Scholar 

  • Hegarty, M., Montello, D.R., Richardson, A.E., Ishikawa, T., Lovelace, K.: Spatial abilities at different scales: Individual differences in aptitude-test performance and spatial-layout learning. Intelligence 34, 151–176 (2006)

    Article  Google Scholar 

  • Hegarty, M., Richardson, A.E., Montello, D.R., Lovelace, K., Subbiah, I.: Development of a self-report measure of environmental spatial ability. Intelligence 30, 425–447 (2002)

    Article  Google Scholar 

  • Ishikawa, T.: Geospatial thinking and spatial ability: An empirical examination of knowledge and reasoning in geographical science. The Professional Geographer (2012) (in press; first published online), doi:10.1080/00330124.2012.724350

    Google Scholar 

  • Ishikawa, T., Kastens, K.A.: Why some students have trouble with maps and other spatial representations. Journal of Geoscience Education 53, 184–197 (2005)

    Google Scholar 

  • Janelle, D.G., Goodchild, M.F.: Location across disciplines: Reflection on the CSISS experience. In: Scholten, H.J., Velde, R., Manen, N. (eds.) Geospatial Technology and the Role of Location in Science, pp. 15–29. Springer, Dordrecht (2009)

    Chapter  Google Scholar 

  • Keehner, M.M., Tendick, F., Meng, M.V., Anwar, H.P., Hegarty, M., Stoller, M.L., Duh, Q.: Spatial ability, experience, and skill in laparoscopic surgery. American Journal of Surgery 188, 71–75 (2004)

    Article  Google Scholar 

  • Kidder, F.R.: Elementary and middle school children’s comprehension of Euclidean transformations. Journal of Research in Mathematics Education 7, 40–52 (1976)

    Article  Google Scholar 

  • Klippel, A., Weaver, C., Robinson, A.: Analyzing cognitive conceptualizations using interactive visual environments. Cartography and Geographic Information Science 38, 52–68 (2011)

    Article  Google Scholar 

  • Kozhevnikov, M., Motes, M., Hegarty, M.: Spatial visualization in physics problem solving. Cognitive Science 31, 549–579 (2007)

    Article  Google Scholar 

  • Kruskal, J.B.: Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika 29, 1–27 (1964)

    Article  MathSciNet  MATH  Google Scholar 

  • Kuhn, W.: Core concepts of spatial information for transdisciplinary research. International Journal of Geographical Information Science 26, 2267–2276 (2012)

    Article  Google Scholar 

  • Lee, J., Bednarz, R.: Components of spatial thinking: Evidence from a spatial thinking ability test. Journal of Geography 111, 15–26 (2012)

    Article  Google Scholar 

  • Levinson, S.C.: Frames of reference and Molyneux’s question: Cross-linguistic evidence. In: Bloom, P., Peterson, M., Nadel, L., Garrett, M. (eds.) Language and Space, pp. 109–169. MIT Press, Cambridge (1996)

    Google Scholar 

  • Liben, L.S., Downs, R.M.: Understanding person-space-map relations: Cartographic and developmental perspectives. Developmental Psychology 29, 739–752 (1993)

    Article  Google Scholar 

  • Mandler, J.M.: Representation. In: Mussen, P.H. (ed.) Handbook of Child Psychology, 4th edn., pp. 420–494. Wiley, New York (1983)

    Google Scholar 

  • Mandler, J.M.: On the spatial foundations of the conceptual system and its enrichment. Cognitive Science 36, 421–451 (2012)

    Article  Google Scholar 

  • Manduca, C., Mogk, D., Stillings, N.: Bringing Research on Learning to the Geosciences. Science Education Resource Center, Carleton College (2003)

    Google Scholar 

  • Martin, J.L.: A test with selected topological properties of Piaget’s hypothesis concerning the spatial representation of the young child. Journal of Research in Mathematics Education 7, 26–38 (1976)

    Article  Google Scholar 

  • National Research Council: Learning to Think Spatially. National Academies Press, Washington, DC (2006)

    Google Scholar 

  • Newcombe, N.S.: Increasing math and science learning by improving spatial thinking. American Educator 34(2), 29–43 (2010)

    Google Scholar 

  • Piaget, J., Inhelder, B.: The Child’s Conception of Space (trans. Langdon, F.J., Lunzer, J.L.). Norton, New York (1967; original work published 1948)

    Google Scholar 

  • Siegel, A.W., White, S.H.: The development of spatial representations of large-scale environments. Advances in Child Development and Behavior 10, 9–55 (1975)

    Article  Google Scholar 

  • Uttal, D.H., Cohen, C.A.: Spatial thinking and STEM education: When, why, and how? Psychology of Learning and Motivation 57, 147–181 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this paper

Cite this paper

Ishikawa, T. (2013). Spatial Primitives from a Cognitive Perspective: Sensitivity to Changes in Various Geometric Properties. In: Tenbrink, T., Stell, J., Galton, A., Wood, Z. (eds) Spatial Information Theory. COSIT 2013. Lecture Notes in Computer Science, vol 8116. Springer, Cham. https://doi.org/10.1007/978-3-319-01790-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01790-7_1

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01789-1

  • Online ISBN: 978-3-319-01790-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics