Detecting a pattern within a sequence of ordered units, defined as patterning, is a cognitive ability that is important in learning mathematics and influential in learning to read. The present study was designed to examine relations between first-grade children's executive functions, patterning, and reading abilities, and to examine whether these…

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…

The present research represents a test of the effect of adding seriation instruction to oddity instruction to produce an advantage in both forms of abstraction. Pasnak et al. (2007) and Kidd, Pasnak, Gadzichowski, Ferral-Like, & Gallington (2008) have shown that at risk kindergartners profit academically from instruction in both oddity and…

Although many students who enter kindergarten are cognitively ready to meet the demands of the kindergarten mathematics curriculum, some students arrive without the early abstract reasoning abilities necessary to benefit from the instruction provided. Those who do not possess key cognitive abilities, including understandings of conservation,…

In a multiple baseline design, a teenager with a mental age of four years was taught two abstractions. One was the oddity principle (selecting the one object in a group which differs from the rest). The other was seriation (aligning objects along a continuum of size, and inserting new objects into their proper places in the alignments). These…

This study examined the effect of an innovative teaching activity to improve concrete operational thinking skills with preschoolers in Head Start programs. A "learning set" of classification games and seriation games was used to teach the oddity principle and insertion into a series. These games were played with the children using toy ponies and…