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IES Grant

Title: Postdoctoral Training in Children’s Mathematics Learning
Center: NCER Year: 2010
Principal Investigator: Siegler, Robert Awardee: Carnegie Mellon University
Program: Postdoctoral Research Training Program in the Education Sciences      [Program Details]
Award Period: 5 years Award Amount: $366,520
Type: Training Award Number: R305B100001

This postdoctoral program trained three fellows on contemporary theories of and methods for studying cognitive development. The program provided fellows with opportunities to actively participate in research that focused on experimental methods for testing interventions to improve learning. Fellows gained experience in identifying key topics for investigation, analyzing data from studies, publishing in journals, presenting at conferences, and writing grant applications.

Postdoctoral Fellows

Bailey, Drew
Braithwaite, David (ORCID)
Fazio, Lisa (ORCID)

As of 2020, Dr. Bailey was an associate professor in the School of Education at the University of California, Irvine. Dr. Braithwaite was an assistant professor of psychology at Florida State University, and Dr. Fazio was an assistant professor of psychology at Vanderbilt University in the Department of Psychology and Human Development.

Products and Publications

Book chapter

Siegler, R.S., Fazio, L.K., and Pyke, A. (2011). There is Nothing so Practical as a Good Theory. In J.P. Mestre, and B.H. Ross (Eds.), The Psychology of Learning and Motivation, Volume 55: Cognition in Education (pp. 171–197). San Diego: Elsevier Academic Press.

Journal article, monograph, or newsletter

Bailey, D.H. (2014). What's the Point of Teaching Math in Preschool? The Brown Center Chalkboard (Brookings), 88.

Bailey, D.H., Siegler, R.S., and Geary, D.C. (2014). Early Predictors of Middle School Fraction Knowledge. Developmental Science, 17(5): 775–785.

Bailey, D.H., Watts, T.W., Littlefield, A K., and Geary, D.C. (2014). State and Trait Effects on Individual Differences in Children's Mathematical Development. Psychological Science, 25(11): 2017–2026.

Bailey, D.H., Zhou, X., Zhang, Y., Cui, J., Fuchs, L.S., Jordan, N.C., Gersten, R., and Siegler, R.S. (2015). Development of Fraction Concepts and Procedures in US and Chinese Children. Journal of Experimental Child Psychology, 129: 68–83.

Braithwaite, D. W., and Siegler, R. S. (2018). Developmental Changes in the Whole Number Bias. Developmental Science, 21(2), e12541.

Braithwaite, D. W., Pyke, A. A., and Siegler, R. S. (2017). A Computational Model of Fraction Arithmetic. Psychological Review, 124(5), 603.

Braithwaite, D. W., Tian, J., and Siegler, R. S. (2018). Do Children Understand Fraction Addition?. Developmental Science, 21(4), e12601.

Fazio, L.K., and Siegler, R.S. (2013). Microgenetic Learning Analysis: A Distinction Without a Difference: Commentary on Parnafes and DiSessa. Human Development, 56(1): 52–58.

Fazio, L.K., Bailey, D.H., Thompson, C.A., and Siegler, R.S. (2014). Relations of Different Types of Numerical Magnitude Representations to Each Other and to Mathematics Achievement. Journal of Experimental Child Psychology, 123: 53–72.

Fazio, L.K., DeWolf, M., and Siegler, R.S. (2016). Strategy Use and Strategy Choice in Fraction Magnitude Comparison. Journal of Experimental Psychology: Human Perception and Performance, 42(1): 1–16.

Siegler, R. S., and Braithwaite, D. W. (2017). Numerical Development. Annual Review of Psychology, 68, 187-213.

Siegler, R.S., Fazio, L.K., Bailey, D.H., and Zhou, X. (2013). Fractions: The New Frontier for Theories of Numerical Development. Trends in Cognitive Science, 17(1): 13–19.

Nongovernment report, issue brief, or practice guide

Fazio, L., and Siegler, R. (2012). Teaching Fractions, Volume 22 of Educational Practices Series. Geneva: UNESCO's International Bureau of Education.