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Estimation abilities of large numerosities in Kindergartners
Sandrine Mejias1, Christine Schiltz
1Educational Measurement and Applied Cognitive Science, Université du Luxembourg Walferdange, Luxembourg.
Young children show surprising estimation skills beyond their explicit math knowledge. Early number competence and school environment influence these approximate number system (ANS) abilities, suggesting potential for targeted educational strategies.
Area of Science:
- Cognitive Development
- Educational Psychology
- Numerical Cognition
Background:
- The approximate number system (ANS) is a foundational element for mathematical development.
- Limited understanding exists regarding the early development of ANS and its susceptibility to external influences before formal math education.
Purpose of the Study:
- To investigate numerical magnitude representations in 5-6-year-old children.
- To examine the impact of early number competence and school socio-economic index (SEI) on ANS development.
- To assess estimation abilities for large numerosities (8-64) using symbolic and non-symbolic formats.
Main Methods:
- Children's estimation abilities for large numerosities (8-64) were assessed using symbolic and non-symbolic output formats.
- Early symbolic and non-symbolic number competence (1-12) was evaluated at two time points in Kindergarten.
- The study considered children's age, early number skills, and school's socio-economic index (SEI).
Main Results:
- Children as young as 5 demonstrated estimation abilities exceeding their explicit symbolic knowledge.
- Third-grade kindergartners showed improved ANS accuracy compared to second-grade kindergartners.
- Stronger exact symbolic number competence correlated with refined ANS, particularly in older children nearing formal math instruction.
- Higher SEI positively influenced estimation in older children and exact number competence in both age groups.
Conclusions:
- Approximate numerical representations are linked to exact number competence in preschoolers, serving as a basis for mathematical learning.
- The ANS is sensitive to external factors like SEI, indicating potential for early educational interventions.
- Targeted preschool strategies may enhance the development of the ANS and subsequent mathematical abilities.
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