Title: Understanding linear and exponential growth: Searching for the roots in 6- to 9-year-olds
Authors: Ebersbach, Mirjam ×
Van Dooren, Wim
Van Den Noortgate, Wim
Resing, Wilma C.M. #
Issue Date: 2008
Publisher: Ablex Pub. Corp.
Series Title: Cognitive Development vol:23 issue:2 pages:237-257
Abstract: Previous studies have suggested that children as young as 9 years old have developed an understanding of non-linear growth processes prior to formal education. The present experiment aimed at investigating this competency in even younger samples (i.e., in kindergartners, first, and third graders, ages 6, 7 and 9, respectively). Children (N= 90) solved non-verbal inductive reasoning tasks by forecasting linear and exponential growth. While children of all ages forecasted linear growth adequately, exponential growth was
also estimated remarkably well. Surprisingly, kindergartners and third graders showed similar high achievement concerning the magnitude and curve shape of forecasts, whereas first graders performed significantly
worse. We concluded that primary knowledge of both linearity and non-linearity exists even in kindergartners.
However, children’s understanding is quite fragile, as their performance was strongly affected by task sequence: Children underestimated exponential growth when the previous task required a forecast of linear growth, and overestimated linear growth when the previous task required forecasting of exponential growth.
ISSN: 0885-2014
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Methodology of Educational Sciences
Education and Training
× corresponding author
# (joint) last author

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