1997 Volume 2 Number 2
Secondary School Students’ Generalisations Of Patterns
Margaret Taplin
Margaret Robertson
Abstract: This paper reports an investigation of 127 secondary school students’ ability to
recognize patterns and make generalized descriptions of them. Two spatial
patterning tasks were presented in either concrete or diagrammatic formats and
the students were able to use concrete, diagrammatic or verbal formats to represent
them. The SOLO Taxonomy (Biggs & Collis, 1982, 1991) was used to classify
the students’ generalizations. Analysis identified a progression in the students’
ability to recognize generalizations from their representations of spatial patterns
with fits the SOLO model. These were predominantly consistent with Biggs’ and
Collis’ (1982, 1991) description of the ikonic mode, with some concrete symbolic
support. Regardless of the SOLO level of their generalizations, the majority of the
students chose to use block to model at least the fifth step of the pattern before
they moved to working from an internal representation. Drawing diagrammatic
representations was not a very frequent choice.