Selected Publications from 2014 to 2018

/Selected Publications from 2014 to 2018
Selected Publications from 2014 to 20182020-06-03T21:10:03+00:00


Braithwaite, D. W., Tian, J, & Siegler, R. S. Do children understand fraction addition? Developmental Science. Early bird on line publication, September 12, 2017. doi: 10.1111/desc.12601.

Braithwaite, D. W., & Siegler, R. S. Children learn spurious associations in their math textbooks: Examples from fraction arithmetic. Journal of Experimental Psychology: Learning, Memory, and Cognition. doi: 10.1037/xlm0000546

Braithwaite, D. W., & Siegler, R. S. (2018). Developmental changes in whole number bias. Developmental Science, 21(2), e12541. doi: 10.1111/desc.12541.


Braithwaite, D. W., Pyke, A. A., & Siegler, R. S.( 2017). A computational model of fraction arithmetic. Psychological Review, 124(5), 603-625. doi: 10.1037/rev0000072

Lortie-Forgues, H., & Siegler, R. S. (2017). Conceptual knowledge of decimal arithmetic. Journal of Educational Psychology, 109(3), 374-386. doi: 10.1037/edu0000148

Siegler, R. S., & Braithwaite, D. W. (2017). Numerical development. Annual Review of Psychology, 68, 187-213. doi: 10.1146/annurev-psych-010416-044101

Siegler, R. S., & Lortie-Forgues, H. (2017).  Hard lessons: Why rational number arithmetic is so difficult for so many people. Current Directions in Psychological Science, 26(4), 346-351. doi: 10.1177/0963721417700129. NOTE: This article can be accessed at the journal’s website online at:

Tian, J., & Siegler, R. S. (2017). Fractions learning in children with mathematics difficulties. Journal of Learning Disabilities, 50(6), 614-620. doi: 10.1177/0022219416662032

Tian, J., & Siegler, R. S(2017). Which type of rational numbers should students learn first? Educational Psychology Review. Published online publication, July 4, 2017. doi: 10.1007/s10648-017-9417-3.


Fazio, L. K., DeWolf, M., & Siegler, R. S. (2016). Strategy use and strategy choice in fraction magnitude compartison. Journal of Experimental Psychology: Learning, Memory, and Cognition, 42, 1-16 doi: 10.1037/xlm0000153

Fazio, L. K., Kennedy, C., & Siegler, R. S. (2016). Improving children’s knowledge of fraction magnitudes. PLOS ONE. doi: 10.1371/journal/one.0165243

Siegler, R. S. (2016). Continuity and change in the field of cognitive development and in the perspectives of one cognitive developmentalist. Child Development Perspectives, 10(2), 128-133. doi: 10.1111/cdep.12173

Siegler, R. S. (2016). How does change occur? In R. Sternberg, S. Fiske, & D. Foss, (Eds.), Scientists making a difference: One hundred eminent behavioral and brain scientists talk about their most important contributions (pp. 223-227). New York: Cambridge University Press.

Siegler, R. S. (2016). Magnitude knowledge: The common core of numerical development. Developmental Science, 19, 341-361. doi: 10.1111/desc.12395


Bailey, D. H., Zhou, X., Zhang, Y., Cui, J., Fuchs, L. S., Jordan, N. C., Gersten, R., & Siegler, R. S. (2015). Development of fraction concepts and procedures in U.S. and Chinese children. Journal of Experimental Child Psychology, 129, 68-83, early bird on-line publication, September 29, 2014, doi: 10.1016/j.jecp.2014.08.006.

Lortie-Forgues, H., Tian, J., & Siegler, R. S. (2015). Why is learning fraction and decimal arithmetic so difficult? Developmental Review, 38, 201-221, doi: 10.1016/j.dr.2015.07.008

Siegler, R., Fuchs, L., Jordan, N., Gersten, R., & Ochsendorf, R. (2015). The Center for Improving Learning of Fractions: A progress report. In S. Chinn (Ed.), The Routledge international handbook of dyscalculia and mathematical learning difficulties, (pp. 292-303). New York: Routledge.

Siegler, R. S., & Lortie-Forgues, H. (2015). Conceptual knowledge of fraction arithmetic. Journal of Educational Psychology, 107, 909-918. doi: 10.1037/edu0000025

Torbeyns, J., Schneider, M., Xin, Z., & Siegler, R. S. (2015).  Bridging the gap: Fraction understanding is central to mathematics achievement in students from three different continents. Learning and Instruction, 37, 5-13. doi: 2014.03.002.


Bailey, D., Siegler, R. S., & Geary, D. C. (2014).  Early predictors of middle school fraction knowledge. Developmental Science, 17, 775-785, doi: 10.1111/desc.12155.

Fazio, L. K., Bailey, D. H., Thompson, C. A., & 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, doi:

Laski, E. V., & Siegler, R. S. (2014). Learning from number board games: You learn what you encode. Developmental Psychology, 50, 853-864, doi: 10.1037/a0034321.

Ramani, G. B., & Siegler, R. S. (2014). How informal learning activities can promote children’s numerical knowledge. In R. C. Kadosh & A. Dowker (Eds.), Oxford handbook of mathematical cognition, published on-line, 3-2014, doi: 10.1093/oxfordhb/9780199642342.013.012.

Siegler, R. S., & Lortie-Forgues, H. (2014). An integrative theory of numerical development. Child Development Perspectives, 8, 144-150, doi: 10.1111/cdep.12077.

Siegler, R. S., & Thompson, C. A. (2014). Numerical landmarks are useful – Except when they’re not. Journal of Experimental Child Psychology, 120, 39-58, doi:

Vukovic, R. K., Fuchs, L. S., Geary, D. C., Jordan, N. C., Gersten, R., & Siegler, R. S. (2014). Sources of individual differences in children’s understanding of fractions. Child Development, 85, 1461-1476, doi: 10.1111/cdev.12218.

Watts, T. W., Duncan, G. J., Siegler, R. S., & Davis-Kean, P. E. (2014).  What’s past is prologue: Relations between early mathematics knowledge and high school achievement. Educational Researcher, 43, 352-360, doi: 10.3102/0013189X14553660.

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