On the Multitude of Mathematics Skills: Spatial-Numerical Associations and Geometry Skill?

  • Krzysztof Cipora
  • Philipp A. Schroeder
  • Hans-Christoph NuerkEmail author
Part of the Research in Mathematics Education book series (RME)


Battista et al. rightly point out the importance of the relation between spatial and geometric reasoning. They are also working towards more fine-grained analyses considering different aspects of both spatial and mathematical reasoning, and postulate that analyses should examine particular skills, rather than these very general constructs. The authors support their claim with the results of a series of well-designed and carefully conducted studies, using one-on-one interviews, one-on-one teaching experiments, and case studies. They conclude that the ability to visualize objects and build accurate mental models thereof is linked to property-based spatial reasoning.


Spatial-Numerical Associations (SNA) Extension Spatial-Numerical Associations Directional Spatial-Numerical Associations SNARC effect Arithmetic skills Cognitive skills SNA Taxonomy Multi-digit number processing Compatibility effect Grounded cognition Embodied cognition Situated cognition Embodied math trainings Number Line Estimation (NLE) Cardinality Ordinality Place identification Place-value activation Place-value computation Place-value integration 



KC is supported by a DFG grant [NU 265/3-1] to HCN. KC and HCN are further supported by the LEAD Graduate School & Research Network [GSC1028], which is funded within the framework of the Excellence Initiative of the German federal and state governments. We thank Julianne Skinner for proofreading the manuscript.


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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Krzysztof Cipora
    • 1
    • 2
  • Philipp A. Schroeder
    • 1
    • 3
  • Hans-Christoph Nuerk
    • 1
    • 2
    • 4
    Email author
  1. 1.Department of PsychologyUniversity of TuebingenTuebingenGermany
  2. 2.LEAD Graduate School and Research NetworkUniversity of TuebingenTuebingenGermany
  3. 3.Department of Psychiatry and PsychotherapyUniversity of TuebingenTuebingenGermany
  4. 4.Leibnitz-Institut für WissensmedienTuebingenGermany

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