Abstract

Using maps effectively requires the ability to scale distances while preserving angle and orientation, the three properties of Euclidean geometry. The aim of the current study was twofold: first, to examine how the ability to represent and use these Euclidean properties changes with development when scaling maps in object-to-object relationships and, second, to explore the effects on the scaling performance of two variables of the array of objects, type of angular configuration and relative vector length. To this end, we tested seventy-five 4-, 6-, and 8-year-old children, as well as twenty-five adults, in a simple completion task with different linear and triangular configurations of objects. This study revealed important developmental changes between 4 and 6 years of age and between 8 years of age and adulthood for both distance and angle representation, while it also showed that the configuration variables affected younger and older children's performances in different ways when scaling distances and preserving angles and orientation. This study was instrumental in showing that, from an early age, children are able to exploit an intrinsic system of reference to scale geometrical configurations of objects.

Highlights

  • Understanding maps is one of the most important large-scale spatial abilities humans have to master to find objects and locations in real-world space

  • A 4 (Age: 4, 6, 8, and Adults) X 2 (Configuration Type: Linear and Right Triangle) X 4 (Length: 1, 2, 3 and 4) mixed- design analysis of variance (ANOVA) revealed a significant main effect of Age, F(3, 93) = 18.2, p < .01, η2p = .37, which resulted from less error in the completion tasks for the Adults (M = 13.1, SD = 5.4) than in any other age group, namely, 4-year-olds (M = 27.4, SD = 7.72), 6-year-olds (M = 24.3, SD = 7.95), or 8-year-olds (M = 24, SD = 7.6)

  • The ANOVA revealed a significant interaction between Age and Length (Fig 3), F(9, 279) = 5.28, p < .01, η2p = .15, that was followed with post-hoc analysis

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Summary

Introduction

Understanding maps is one of the most important large-scale spatial abilities humans have to master to find objects and locations in real-world space. Maps are tools that depict spatial symbols that allow humans to represent multiple relationships between objects and locations that could be either directly perceived or unperceived. Investigating how children develop the ability to represent and use geometric information to read maps effectively is an important goal in the study of cognitive development [2, 3]. Using maps to navigate and find objects in a three-dimensional environment implies three different cognitive abilities. A map reader should understand the one-toone relationship between the symbols depicted in the map and the objects in the three-

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