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• Patalano, A.L., Kayton, K., & Barth, H. (2023). Modeling the left digit effect in adult number line estimation. Cognition 230, 105257.

• Kayton, K., Williams, K., Stenbaek, C., Gwiazda, G., Bondhus, C., Green, J., Fischer, G., Barth, H., & Patalano, A.L. (2022). Summary accuracy feedback and the left digit effect in number line estimation. Memory & Cognition 50, 1789-1803.

• Patalano, A.L., Williams, K., Weeks, G., Kayton, K., & Barth, H. (2022). The left digit effect in a complex judgment task: Evaluating hypothetical college applicants. Journal of Behavioral Decision Making 35, e2247.

• Xing, C., Zax., A., Taggart, J., Bass, I., George, E., & Barth, H. (2021). Numerical estimation strategies are correlated with math ability in school-age children. Cognitive Development 60, 101089.

• Williams, K., Zax, A., Patalano, A.L., & Barth, H. (2021). Left digit effects in numerical estimation across development. Journal of Cognition & Development 23, 188-209.

Barth, H., & Shusterman, A. (2021). Numerical cognition needs more and better distinctions, not fewer. Commentary on Clarke & Beck. Behavioral & Brain Sciences, 44.

• Brew, K., Clark, T., Feingold-Link, J., & Barth, H. (2021). Do demand characteristics contribute to minimal group preferences? Journal of Experimental Child Psychology, doi: 10.1016/j.jecp.2020.105043

• Savelkouls, S., Williams, K., & Barth, H. (2020). Linguistic inversion and numerical estimation. Journal of Numerical Cognition,

• Williams, K., Paul, J., Zax, A., Barth, H., & Patalano, A.L. (2020). Number line estimation and standardized test performance: The left digit effect does not predict SAT math score. Brain & Behavior, 00:e01877 

• Patalano, A.L., Zax, A., Williams, K., Mathias, L., Cordes, S., & Barth, H. (2020). Intuitive symbolic magnitude judgments and decision making under risk in adults. Cognitive Psychology, 118, 101273.

• Xing, C., Williams, K., Hom, J., Kandlur, M., Owoyemi, P., Paul, J., Shackney, E., Alexander, R., & Barth, H. (2020). Partition dependence in financial aid distribution to income categories: An experimental replication and extension. PLOSone, 15, e0231135.

• Williams, K., Zax, A., Reichelson, S., Patalano, A.L., & Barth, H. (2020). Developmental change in partition dependent resource allocation behavior. Memory & Cognition, 48, 1007-1014.

• Zax, A., Williams, K., Patalano, A.L., Slusser, E.B., Cordes, S., & Barth, H. (2019). What do biased estimates tell us about cognitive processing? Spatial judgments as proportion estimation. Journal of Cognition and Development, 20, 702-728. PDF

• Xing, C., Paul, J., Zax, A., Cordes, S., Barth, H., & Patalano, A.L. (2019). Probability range and probability distortion in a gambling task. Acta Psychologica, 197, 39-51.

• Zax, A., Slusser, E.B., Barth, H. (2019). Spontaneous partitioning and proportion estimation in children’s numerical judgments. Journal of Experimental Child Psychology, 185, 71-94. 

• Reichelson, S., Zax, A., Patalano, A., & Barth, H. (2019). Partition dependence in development: Are children’s decisions shaped by the arbitrary grouping of options? Quarterly Journal of Experimental Psychology, 72, 1029-1036.

Barth, H., Cordes, S., & Patalano, A.L. (2018). Suboptimality in perceptual decision making and beyond. Comment on Rahnev and Denison. Brain and Behavioral Sciences, 41.

• Lai, M., Zax, A., & Barth, H. (2018). Digit identity influences numerical estimation in children and adults. Developmental Science, 21:e12657.

• Reichelson, S., Zax, A., Bass, I., Patalano, A., & Barth, H. (2018). Partition dependence in consumer choice: Perceptual groupings do not reliably shape decisions. Psychonomic Bulletin & Review, 25, 1178-1183.

• Slusser, E., & Barth, H. (2017). Intuitive proportion judgment in number-line estimation: Converging evidence from multiple tasks. Journal of Experimental Child Psychology 162, 181-198.

• McCrink, K., Shafto, P., & Barth, H. (2017). The relationship between non-symbolic multiplication and division in childhood. Quarterly Journal of Experimental Psychology 70, 686-702.

Barth, H., Slusser, E., Kanjlia, S., Garcia, J., Taggart, J., & Chase, E. (2016). How feedback improves children’s numerical estimation. Psychonomic Bulletin & Review 23, 1198-1205. PDF

• Schug, M.G., Shusterman, A., Barth, H., & Patalano, A.L. (2016). Early group bias in the Faroe Islands: Cross-cultural variation in children’s group-based reasoningQuarterly Journal of Experimental Psychology 69, 1741-1751.

• Patalano, A., Saltiel, J., Machlin, L., & Barth, H. (2015). The role of numeracy and approximate number system acuity in predicting value and probability distortion. Psychonomic Bulletin & Review 22, 1820-1829PDF

• Barth, H., Lesser, E., Taggart, J., & Slusser, E.B. (2015). Spatial estimation: a non-Bayesian alternative. Developmental Science 18, 853-862. PDF

• Barth, H., Bhandari, K., Garcia, J., MacDonald, K., & Chase, E. (2014). Preschoolers trust novel members of accurate speakers’ groups and judge them favorably. Quarterly Journal of Experimental Psychology 67, 872-883. PDF

MacDonald, K., Schug, M.G., Chase, E., & Barth, H. (2013). My people, right or wrong? Minimal group membership disrupts preschoolers’ selective trust. Cognitive Development 28, 247-259. PDF

• Slusser, E., Santiago, R., & Barth, H. (2013). Developmental change in numerical estimation. Journal of Experimental Psychology: General 142, 193-208.  PDF

• Schug, M.G., Shusterman, A., Barth, H., & Patalano, A.L. (2013). Minimal group membership influences children’s responses to novel experiences with group members. Developmental Science 16, 47-55. PDF

• Sullivan, J., & Barth, H. (2012). Active (not passive) spatial imagery primes temporal judgments. Quarterly Journal of Experimental Psychology 65, 1101-1109. PDF

Barth, H., Slusser, E., Cohen, D., & Paladino, A.M. (2011). A sense of proportion: Commentary on Opfer, Siegler, & Young. Developmental Science 14, 1205-1206. PDF

• Sullivan, J., Juhasz, B., Slattery, T., & Barth, H. (2011). Adults’ number-line estimation strategies: evidence from eye movements. Psychonomic Bulletin & Review 18, 557-563. PDF

• Anderson, B.L., O’Vari, J., & Barth, H. (2011). Non-Bayesian contour synthesis. Current Biology 21, 492-496. PDF

Barth, H., & Paladino, A.M. (2011). The development of numerical estimation: Evidence against a representational shift. Developmental Science 14, 125-135. PDF

• Bhandari, K., & Barth, H. (2010). Show or tell: Testimony is sufficient to induce the curse of knowledge in three- and four-year-olds. Quarterly Journal of Experimental Psychology 63,209-215. PDF

Barth, H., Starr, A., & Sullivan, J. (2009). Children’s mappings of large number words to numerosities. Cognitive Development 24, 248-264. PDF

Barth, H., Baron, A., Spelke, E., & Carey, S. (2009). Children’s multiplicative transformations of discrete and continuous quantities. Journal of Experimental Child Psychology 103, 441-454. PDF

Barth, H. (2008). Judgments of discrete and continuous quantity: An illusory Stroop effect. Cognition 109, 251-266. PDF

Barth, H. (2008). Do mental magnitudes form part of the foundation for natural number concepts? Don’t count them out yet. Comment on Rips, Bloomfield, & Asmuth. Behavioral & Brain Sciences 31, 644-645.

Barth, H., Beckmann, L., & Spelke, E. (2008). Nonsymbolic, approximate arithmetic in children: Evidence for abstract addition prior to instruction. Developmental Psychology 44, 1466-1477. PDF This article may not exactly replicate the final version published in the APA journal. It is not the copy of record.

• Cappelletti, M., Barth, H., Fregni, F., Spelke, E.S., & Pascual-Leone, A. (2007). rTMS over the intraparietal sulcus disrupts numerosity processing. Experimental Brain Research 179, 631-642. PDF

Barth, H., La Mont, K., Lipton, J., Dehaene, S., Kanwisher, N., and Spelke, E. (2006). Nonsymbolic arithmetic in adults and young children. Cognition, 98, 199-222. PDF

Barth, H., La Mont, K., Lipton, J., and Spelke, E. (2005). Abstract number and arithmetic in preschool children. Proceedings of the National Academy of Sciences, 102, 14116-14121. PDF

Barth, H., Kanwisher, N., and Spelke, E. (2003). The construction of large number representations in adults. Cognition, 86, 201-221. PDF

• Mordkoff, J. T., and Barth, H. (2001). Using pre-pulse inhibition to study attentional capture: a warning about pre-pulse correlations. In Attraction, Distraction, and Action: Multiple Perspectives on Attentional Capture, C. Folk and B. Gibson, eds.

• Anderson, B.L., and Barth, H.C. (1999). Motion-based mechanisms of illusory contour formation. Neuron, 24, 433-441. PDF