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 was designed to investigate the cognitive level of development and mathematical fluency of first grade children. A total of (N = 100) 6- and 7-year-olds from two low socioeconomic level elementary schools participated in this study. Piaget's conservation-of-liquid task was administered to children to determine their cognitive level of…