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A workshop that took place February 14, 2011 to February 16, 2011, facilitating discussion of "what is important about journal publishing to mathematicians," just released its final report.

Abstract: "Human adults from diverse cultures share intuitions about the points, lines, and figures of Euclidean geometry. Do children develop these intuitions by drawing on phylogenetically ancient and developmentally precocious geometric representations that guide their navigation and their analysis of object shape? In what way might these early-arising representations support later-developing Euclidean intuitions? To approach these questions, we investigated the relations among young children's use of geometry in tasks assessing: navigation; visual form analysis; and the interpretation of symbolic, purely geometric maps. Children's navigation depended on the distance and directional relations of the surface layout and predicted their use of a symbolic map with targets designated by surface distances. In contrast, children's analysis of visual forms depended on the size-invariant shape relations of objects and predicted their use of the same map but with targets designated by corner angles. Even though the two map tasks used identical instructions and map displays, children's performance on these tasks showed no evidence of integrated representations of distance and angle. Instead, young children flexibly recruited geometric representations of either navigable layouts or objects to interpret the same spatial symbols. These findings reveal a link between the early-arising geometric representations that humans share with diverse animals and the flexible geometric intuitions that give rise to human knowledge at its highest reaches. Although young children do not appear to integrate core geometric representations, children's use of the abstract geometry in spatial symbols such as maps may provide the earliest clues to the later construction of Euclidean geometry. "

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Abstract: "We encounter mathematical problems in various forms in our lives, thus making mathematical thinking an important human ability [6]. Of these problems, optimization problems are an important subset: Wall Street traders often have to take instantaneous, strategic decisions to buy and sell shares, with the goal of maximizing their profits at the end of a day's trade. Continuous research on game-based learning and its value [2] [3] led us to ask: can we develop and improve the ability of mathematical thinking in children by guising an optimization problem as a game? In this paper, we present Bublz!, a simple, click-driven game we developed as a first step towards answering our question."

Demonstrates the utility of exergames for teaching and learning. "Our goal is to design a math game for children aged between 8 and 12. Our focus in basic operations: adding, subtracting, dividing and multiplying. Players must gather a given number of objects in order to properly complete mathematical operations while at the same time avoiding or destroying other objects that cause him to lose energy or reduce the time given to complete the task."