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Articles

Numerical Estimation in Children for Both Positive and Negative Numbers

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REFERENCES

  • Barth, H. C., & Paladino, A. M. (2011). The development of numerical estimation: Evidence against a representational shift. Developmental Science, 14, 125–135.
  • Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 41, 189–201.
  • Burnham, K. P., & Anderson, D. R. (2002). Model selection and multimodel inference: A practical information-theoretic approach (2nd ed.). New York, NY: Springer.
  • Cohen, D. J., & Sarnecka, B. W. (2014). Children’s number-line estimation shows development of measurement skills (not number representations). Developmental Psychology, 50, 1640–1652.
  • Ebersbach, M., Luwel, K., Frick, A., Onghena, P., & Verschaffel, L. (2008). The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year-old children: Evidence for a segmented linear model. Journal of Experimental Child Psychology, 99, 1–17.
  • Friso-van den Bos, I., Kolkman, M. E., Kroesbergen, E. H., & Leseman, P. M. P. (2014). Explaining variability: Numerical representations in 4- to 8-year-old children. Journal of Cognition and Development, 15, 325–344. doi:10.1080/15248372.2012.742900
  • Ganor-Stern, D., Pinhas, M., Kallai, A., & Tzelgov, J. (2010). Holistic representation of negative numbers is formed when needed for the task. Quarterly Journal of Experimental Psychology, 63, 1969–1981.
  • Gevers, W., Santens, S., Ehooge, E., Chen, Q., Van den Bossche, L., Fias, W., & Verguts, T. (2010). Verbal-spatial and visuospatial coding of number–space interactions. Journal of Experimental Psychology: General, 139, 180–190.
  • Gullick, M. M., & Wolford, G. (2013). Understanding less than nothing: Children’s neural response to negative numbers shifts across age and accuracy. Frontiers in Psychology, 4, 1–17.
  • Karjcsi, A., & Igacs, J. (2010). Processing negative numbers by transforming negatives to positive range and by sign shortcut. European Journal of Cognitive Psychology, 22, 1021–1038.
  • Opfer, J. E., & Siegler, R. S. (2007). Representational change and children’s numerical estimation. Cognitive Psychology, 55, 169–195.
  • Piatt, C., Coret, M., Volden, J., & Bisanz, J. (2012, October). Children’s thinking on a number-line estimation task. Poster session presented at the biennial meeting of the Cognitive Development Society, Memphis, TN.
  • Prather, R. W., & Alibali, M. W. (2008). Understanding and using principles of arithmetic: Operations involving negative numbers. Cognitive Science, 32, 445–457.
  • Saxe, G. B., Diakow, R., & Gearhart, M. (2012). Towards curricular coherence in integers and fractions: A study of the efficacy of a lesson sequence that uses the number line as the principal representational context. ZDM, 45, 343–364. doi:10.1007/s11858-012-0466-2
  • Saxe, G. B., Earnest, D., Sitabkhan, Y., Haldar, L. C., Lewis, K. E., & Zheng, Y. (2010). Supporting generative thinking about the integer number line in elementary mathematics. Cognition and Instruction, 28, 433–474. doi:10.1080/07370008.2010.511569
  • Siegler, R. S., & Opfer, J. E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14, 237–243.
  • Siegler, R. S., Thompson, C. A., & Opfer, J. E. (2009). The logarithmic-to-linear shift: One learning sequence, many tasks, many time scales. Mind, Brain, and Education, 3, 143–150.
  • Slusser, E. B., Santiago, R. T., & Barth, H. C. (2013). Developmental change in numerical estimation. Journal of Experimental Psychology: General, 142, 193–208.
  • Sullivan, J. L., Juhasz, B. J., Slattery, T. J., & Barth, H. C. (2011). Adults’ number-line estimation strategies: Evidence from eye movements. Psychonomic Bulletin and Review, 18, 557–563.
  • Tzelgov, J., Ganor-Stern, D., & Maymon-Schreiber, K. (2009). The representation of negative numbers: Exploring the effects of mode of processing and notation. Quarterly Journal of Experimental Psychology, 63, 605–624. doi:10.1080/17470210802034751
  • Varma, S., & Schwartz, D. L. (2011). The mental representation of integers: An abstract-to-concrete shift in the understanding of mathematical concepts. Cognition, 121, 363–385.

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