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Related Experiment Videos

Early function concepts: their development and relation to certain mathematical and logical abilities.

P M Davidson1

  • 1College of Education, Michigan State University, East Lansing 48824-1034.

Child Development
|December 1, 1987
PubMed
Summary
This summary is machine-generated.

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Early childhood cognition of functions develops through distinct strategies, linking mathematical and logical reasoning in children aged 5-7. This study explores function concept development and its relation to numerical and logical abilities.

Area of Science:

  • Cognitive Development
  • Mathematical Cognition
  • Developmental Psychology

Background:

  • Function concept cognition (y = f(x)) is a key early childhood achievement.
  • Understanding function development is crucial for mathematical and logical abilities.
  • Piaget's model suggests function cognition underpins reversible operations.

Purpose of the Study:

  • Investigate the development of function concepts in children aged 5-7 years.
  • Examine the relationship between function concepts and mathematical/logical abilities.
  • Explore developmental trends and strategies in function task performance.

Main Methods:

  • Tested 72 children (5-7 years) on nonnumerical function tasks (property exchange, position displacement, structure preservation).

Related Experiment Videos

  • Assessed numerical tasks (number conservation, arithmetic) and logical reasoning (class inclusion, vicariance, seriation).
  • Analyzed developmental trends and strategy use (trial-and-error vs. anticipatory).

    • Main Results:

    • Orderly developmental trends observed in function task performance.
    • Younger children used trial-and-error; older children employed anticipatory strategies.
    • Function abilities showed associations with both numerical and logical domains.

    Conclusions:

    • Function cognition development shows parallel processes across conceptual domains.
    • Findings align with Piaget's model regarding function cognition and reversible operations.
    • Development of function concepts is linked to both mathematical and logical reasoning skills.