Visually-moderated Sequences

  • Shlomo Vinner
Part of the Mathematics in Mind book series (MATHMIN)


I first met this concept in Robert Davis’ book (1984). It relates to procedures (sequences of steps). While performing a certain step you do not foresee all steps of the procedure. However, each step shows you the way to the following step. It happens many times in mathematics (I point out some examples) but it also happens a lot outside mathematics. For instance, when driving we do not remember all the turning points on our way. However, whenever we reach a turning point, we visually recognize it, and we remember to make the turn. I point at some examples where visually-moderated sequences go wrong.


  1. Davis, R. (1984). Learning mathematics: The cognitive science approach to mathematics education. London: Croom Helm curriculum Policy Research Series.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Shlomo Vinner
    • 1
  1. 1.The Hebrew University of JerusalemJerusalemIsrael

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