Sammendrag
This study continues an investigation of how spherical units, compared to cubical
units, can facilitate students’ units-locating and organizing units in composites. We
analyze how Norwegian grade 3 students enumerate 3D arrays with cubical and
spherical units. Our results show how spherical units can act as perceptual clues
that facilitate cognitive processes, underlying students’ strategies in the enumeration
of 3D arrays. In particular, the results show how spherical units facilitate the units-
locating process, which, in turn, supports processes of organizing-by-composites
and spatial structuring of the array, in the action of developing a proper iterative
strategy such as layer-based thinking.
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