Young children have been taught simple sequences of alternating shapes and colors, referred to as "patterning", for the past half century in the hope that their understanding of pre-algebra and their mathematics achievement would be improved. The evidence that such patterning instruction actually improves children's academic achievement…

This study examined the development of flexibility and abstraction in preschool children by using a newly designed Pattern Completion Task (PCT) and the Flexible Item Selection Task (FIST). In the PCT, children were presented with an incomplete pattern consisting of different-colored shapes and were asked to select the colored shape that…