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Invited Article

The Role of Intuitive Approximation Skills for School Math Abilities

Melissa E. Libertus

Corresponding Author

Department of Psychology and Learning Research and Development Center, University of Pittsburgh

Address correspondence to Melissa E. Libertus, Department of Psychology and Learning Research and Development Center, 607 LRDC, University of Pittsburgh, 3939 O'Hara Street, Pittsburgh, PA 15260; e‐mail:

libertus@pitt.edu

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First published: 06 May 2015
Cited by: 6

ABSTRACT

Research has shown that educated children and adults have access to two ways of representing numerical information: an approximate number system (ANS) that is present from birth and allows for quick approximations of numbers of objects encountered in one's environment, and an exact number system (ENS) that is acquired through experience and instruction, that requires an understanding of language and symbols, and that is at the core of school math abilities. While these two systems are distinct, individual differences in the acuity of the ANS predict later math abilities and advancing the ENS leads to increases in the acuity of the ANS suggesting a reciprocal connection between the two systems. Recently, the focus of the field has turned toward elucidating the mechanisms that underlie this connection, but more work is also needed to understand the sources of individual differences in the ANS and ENS in the first place.

Number of times cited: 6

  • , What predicts mathematics achievement? Developmental change in 5- and 7-year-old children, Journal of Experimental Child Psychology, 10.1016/j.jecp.2018.09.013, 178, (104-120), (2019).
  • , On the role of visual experience in mathematical development: Evidence from blind mathematicians, Developmental Cognitive Neuroscience, (2017).
  • , Spontaneous orientation towards irrelevant dimensions of magnitude and numerical acuity, Learning and Instruction, (2017).
  • , Scale and the evolutionarily based approximate number system: an exploratory study, International Journal of Science Education, 39, 8, (1008), (2017).
  • , Cognitive abilities that mediate SES’s effect on elementary mathematics learning: The Uruguayan tablet-based intervention, PROSPECTS, 46, 2, (301), (2016).
  • , Crosscutting concepts and achievement: Is a sense of size and scale related to achievement in science and mathematics?, Journal of Research in Science Teaching, , (2018).