Preschoolers can often rattle off a long sequence of numbers in order, but have problems in reporting the exact number of objects even in a small set, and have trouble in comparing numerical relation of two sets that differ by exactly 1 item. The present study showed that representing and highlighting sets by showing a circular, enclosed diagram around them with or without a grouping gesture helps children to enhance their understanding of cardinality and to improve their overall math

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... . Nighty-three preschool students, ages ranging from 3years-10 months to 4 years-9months (M= 51.82 months, SD= 3.56 months), from three public schools in Harlem, New York participated in this study. Children from each school were ranked based on their pre-test score on the Test of Early Mathematics Ability (TEMA-3), and were then assigned randomly to one of the three math comparison groups or the reading control group. Children in diagram-plus-gesture math group, were asked to draw a bubble by making a grouping gesture around each of the two sets on a touch screen device, indicate the number of fish in each bubble, and judge whether there were the same number of fish in each bubble, and in case the number was not the same, indicate which set had more fish. Children in the diagram only condition simply saw bubbles around sets without the need to do a grouping gesture around them. Children in the no diagram- no gesture condition neither saw a bubble nor did a grouping gesture. All participants played on the software for 4 sessions within a two-week time period and the data were examined microgenetically. Results showed that all children in the math comparison groups improved in their math scores during the game-play and improved in their overall math competence from pre- to post-test, unlike the children in the reading control group. More importantly, children who saw the circular diagram (bubbles) around sets with or without the grouping gesture outperformed children who never saw bubbles nor made a grouping gesture in thei [...]