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194 Robert S. Siegler et al.Ginsberg, H. P., & Russell, R. L. (1981). Social class <strong>and</strong> racial influences on earlyma<strong>the</strong>matical thinking. Monographs<strong>of</strong> <strong>the</strong> Societyfor Researchin ChildDevelopment, 46(6)Serial No. 69.Griffin, S. (2003). Number Worlds: A research-based ma<strong>the</strong>matics program for youngchildren. In D. H. Clements, <strong>and</strong> J. Sarama, (Eds.), Engagingyoungchildreninma<strong>the</strong>matics:St<strong>and</strong>ards for early childhood ma<strong>the</strong>matics education (pp. 325–342). Mahwah, NJ:Lawrence Erlbaum Associates.Griffin, S. (2007). Early intervention for children at risk <strong>of</strong> developing ma<strong>the</strong>matical<strong>learning</strong> difficulties. In D. B. Berch, <strong>and</strong> M. M. Mazzocco, (Eds.),Whyis math sohardfor some children? The nature <strong>and</strong> origins <strong>of</strong> ma<strong>the</strong>matical <strong>learning</strong> di⁄culties <strong>and</strong> disabilities(pp. 373–396). Baltimore, MD: Brookes Publishing.Griffin, S., & Case, R. (1996). Evaluating <strong>the</strong> breadth <strong>and</strong> depth <strong>of</strong> training effects whencentral conceptual structures are taught. Society for Research in Child DevelopmentMonographs, 59, 90–113.Griffin, S., & Case, R. (1997). Re-thinking <strong>the</strong> primary school math curriculum: Anapproach based on cognitive science. IssuesinEducation, 3, 1–49.Griffin, S., Case, R., & Siegler, R. S. (1994). Rightstart: Providing <strong>the</strong> central conceptualprerequisites for first formal <strong>learning</strong> <strong>of</strong> arithmetic to students at risk for school failure.In K. McGilly (Ed.), Classroom lessons: Integrating cognitive <strong>the</strong>ory <strong>and</strong> classroom practice(pp. 25–49). Cambridge, MA: MIT Press.Hanich, L. B., Jordan, N. C., Kaplan, D., & Dick, J. (2001). Performance across differentareas <strong>of</strong> ma<strong>the</strong>matical cognition in children with <strong>learning</strong> difficulties. Journal <strong>of</strong>Educational Psychology, 93, 615–626.Holloway, S. D., Rambaud, M. F., Fuller, B., & Eggers-Pierola, C. (1995). What is‘‘appropriate practice’’ at home <strong>and</strong> in child care?: Low-income mo<strong>the</strong>r’s views onpreparing <strong>the</strong>ir children for school. EarlyChildhood ResearchQuarterly, 10, 451–473.Holyoak, K. J., & Mah, W. A. (1982). Cognitive reference points in judgments <strong>of</strong> symbolicmagnitude. Cognitive Psychology, 14, 328–352.Hubbard, E. M., Piazza, M., Pinel, P., & Dehaene, S. (2005). Interactions betweennumber <strong>and</strong> space in parietal cortex. Nature Reviews Neuroscience, 6, 435–448.Hughes, M. (1981). Can preschool children add <strong>and</strong> subtract? Educational Psychology, 1,207–219.Jordan, K. E., Su<strong>and</strong>a, S. H., & Brannon, E. M. (2008). Intersensory redundancy acceleratespreverbal numerical competence. Cognition, 108, 210–221.Jordan, N. C., Kaplan, D., Olah, L. N., & Locuniak, M. N. (2006). Number sense growthin kindergarten: a longitudinal investigation <strong>of</strong> children at risk for ma<strong>the</strong>matics difficulties.ChildDevelopment, 77, 153–175.Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2009). Early math matters:Kindergarten number competence <strong>and</strong> later ma<strong>the</strong>matics outcomes. DevelopmentalPsychology, 45, 850–867.Klein, A., Starkey, P., Clements, D. H., Sarama, J., & Iyer, R. (2008). Effects <strong>of</strong> a prekindergartenma<strong>the</strong>matics intervention: A r<strong>and</strong>omized experiment. Journal<strong>of</strong>ResearchonEducationalE¡ectiveness, 1, 155–178.Kliban<strong>of</strong>f, R. S., Levine, S. C., Huttenlocher, J., Vasilyeva, M., & Hedges, L. V. (2006).Preschool children’s ma<strong>the</strong>matical knowledge: The effect <strong>of</strong> teacher ‘‘math talk.’’.DevelopmentalPsychology, 42, 59–69.Laski, E. V. (2008). Internal <strong>and</strong> external in£uences on <strong>learning</strong>: A microgenetic analysis <strong>of</strong> <strong>the</strong>acquisition <strong>of</strong> numerical knowledge from board games (Unpublished doctoral dissertation).Pittsburgh, PA: Carnegie Mellon University.Laski, E. V., & Siegler, R. S. (2007). Is 27 a big number? Correlational <strong>and</strong> causalconnections among numerical categorization, number line estimation, <strong>and</strong> numericalmagnitude comparison. ChildDevelopment, 76, 1723–1743.
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xContributorsHenry L. Roediger, III
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38 John Sweller1. INTRODUCTIONCogni
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76 John SwellerRenkl, A. (2005). Th
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78 Richard E. Mayercognitive theory
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80 Richard E. Mayerpictures beginni
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94 Richard E. Mayer(Moreno & Mayer,
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CHAPTERFIVEOn the Interplay of Emot
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Implications for Enhancing Academic
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CHAPTERNINEConceptual Problem Solvi
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IndexAAcademic performancedrive the
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Index 303LLabor in vain, 28Language
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Index 307WWeb-delivered multimedia
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CONTENTS OF RECENT VOLUMESVolume 40
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Contents of Recent Volumes 313Volum