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Numerical Calculations01:24

Numerical Calculations

In engineering applications, the representation of the numerical value is critical. Presenting or reporting the answer is one of the essential parts of engineering practices. Numerical calculations are performed using handheld calculators or computers since numerically accurate answers are always preferred.
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Number sense in human infants.

Fei Xu1, Elizabeth S Spelke, Sydney Goddard

  • 1Northeastern University, Boston, USA. fei@psych.ubc.ca

Developmental Science
|January 14, 2005
PubMed
Summary

Six-month-old infants can distinguish between large quantities of objects, demonstrating a ratio-dependent ability similar to adults. However, they struggle to differentiate small quantities when visual cues are controlled.

Area of Science:

  • Cognitive Development
  • Perception
  • Numerical Cognition

Background:

  • Infants' ability to perceive numerosity is crucial for understanding numerical cognition.
  • Previous studies show 6-month-olds discriminate large number ratios (e.g., 8 vs. 16) but not smaller ratios (e.g., 8 vs. 12).
  • Controversy exists regarding whether infants can represent small numerosities when continuous quantity cues are controlled.

Purpose of the Study:

  • To investigate if infants' numerosity discrimination depends on set-size ratio with larger numerosities.
  • To examine the impact of controlling for continuous quantity cues on large and small number discrimination.
  • To determine if separate systems represent large versus small numerosities in infants.

Main Methods:

  • Utilized a preferential looking method with 6-month-old infants across four experiments.

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  • Experiments 1 & 2 tested discrimination of larger numerosities (16 vs. 32, 16 vs. 24) using varying ratios.
  • Experiments 3 & 4 controlled for continuous quantity cues (contour length, total filled area) for large and small number displays.

    • Main Results:

    • Infants discriminated between 16 vs. 32 discs but not 16 vs. 24 discs, supporting a ratio-dependent signature.
    • Discrimination of large numerosities was successful even when continuous quantity cues were controlled.
    • Infants showed no discrimination for small numerosities when continuous quantity cues were controlled.

    Conclusions:

    • Six-month-old infants possess robust abilities to represent large numerosities.
    • Infants may not represent small numerosities in visual-spatial arrays when continuous quantity controls are applied.
    • Findings support the hypothesis of distinct systems for representing large and small numerosities in infancy.