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- W2012020756 abstract "Click to increase image sizeClick to decrease image size Preparation of this article was supported, in part, by a grant from the National Science Foundation (BCS-0111829) and the Spencer Foundation (200400033). The opinions expressed are solely those of the authors and do not necessarily reflect the position, policy, or endorsement of the National Science Foundation or the Spencer Foundation. Notes 1Mathematically, of course, a solution is not at all obvious, as the 16% decrease has one whole (number of troops serving) and the 16% increase has a different whole (the number of recruits currently signing up). The inverse would be applicable only if both wholes were equal. 2Besides the four key aspects of proficiency addressed noted (conceptual understanding, procedural fluency, strategic competence, and adaptive reasoning), CitationKilpatrick et al. (2001) listed a fifth key aspect, namely productive disposition, which they described as “the habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one's own efficacy” (p. 5). This fifth key aspect of mathematical proficiency is not addressed in this special issue." @default.
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- W2012020756 title "Young Children's Understanding and Application of Subtraction-Related Principles" @default.
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