Dealing with Big Numbers: Representation and Understanding of Magnitudes Outside of Human Experience

Cogn Sci. 2017 May;41(4):1020-1041. doi: 10.1111/cogs.12388. Epub 2016 Jul 29.

Abstract

Being able to estimate quantity is important in everyday life and for success in the STEM disciplines. However, people have difficulty reasoning about magnitudes outside of human perception (e.g., nanoseconds, geologic time). This study examines patterns of estimation errors across temporal and spatial magnitudes at large scales. We evaluated the effectiveness of hierarchical alignment in improving estimations, and transfer across dimensions. The activity was successful in increasing accuracy for temporal and spatial magnitudes, and learning transferred to the estimation of numeric magnitudes associated with events and objects. However, there were also a number of informative differences in performance on temporal, spatial, and numeric magnitude measures, suggesting that participants possess different categorical information for these scales. Educational implications are discussed.

Keywords: Alignment; Category adjustment model; Generalized magnitude representation; Spatial estimation; Time estimation.

MeSH terms

  • Adolescent
  • Adult
  • Concept Formation / physiology
  • Female
  • Humans
  • Judgment / physiology*
  • Male
  • Mathematics*
  • Models, Theoretical
  • Space Perception / physiology*
  • Time Perception / physiology*
  • Young Adult