Abstract

Preschoolers from low-income households lag behind preschoolers from middle-income households on numerical skills that underlie later mathematics achievement. However, it is unknown whether these gaps exist on parallel measures of symbolic and non-symbolic numerical skills. Experiment 1 indicated preschoolers from low-income backgrounds were less accurate than peers from middle-income backgrounds on a measure of symbolic magnitude comparison, but they performed equivalently on a measure of non-symbolic magnitude comparison. This suggests activities linking non-symbolic and symbolic number representations may be used to support children's numerical knowledge. Experiment 2 randomly assigned low-income preschoolers (M age = 4.7 years) to play either a numerical magnitude comparison or a numerical matching card game across four 15 min sessions over a 3-week period. The magnitude comparison card game led to significant improvements in participants' symbolic magnitude comparison skills in an immediate posttest assessment. Following the intervention, low-income participants performed equivalently to an age- and gender-matched sample of middle-income preschoolers in symbolic magnitude comparison. These results suggest a brief intervention that combines non-symbolic and symbolic magnitude representations can support low-income preschoolers' early numerical knowledge.

Highlights

  • Preschoolers from low-income households lag behind preschoolers from middle-income households on numerical skills that underlie later mathematics achievement

  • The effect size for the symbolic numerical knowledge task was three times as large as the effect size for the symbolic magnitude comparison task (d = 1.04 vs. d = 0.34), and considered a large effect size by Cohen’s benchmarks (Cohen, 1988). These results suggest the performance gap on symbolic magnitude comparison skills does not extend to less verbal, non-symbolic measures of magnitude comparison

  • Low- and Middle-Income Comparison To address our second set of hypotheses, we examined the extent to which playing the magnitude comparison card game improved the low-income children’s symbolic magnitude skills relative to a matched sample of middle-income participants, which was the area of numerical knowledge with the greatest improvements among low-income preschoolers

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Summary

Introduction

Preschoolers from low-income households lag behind preschoolers from middle-income households on numerical skills that underlie later mathematics achievement. Experiment 1 indicated preschoolers from low-income backgrounds were less accurate than peers from middle-income backgrounds on a measure of symbolic magnitude comparison, but they performed equivalently on a measure of non-symbolic magnitude comparison This suggests activities linking non-symbolic and symbolic number representations may be used to support children’s numerical knowledge. The second is that exposure to dual representations of symbolic and non-symbolic number can help low-income children build their numerical knowledge and improve their foundational math skills Both hypotheses are informed by a theory of numerical development, which proposes that children’s understanding of symbolic and non-symbolic numerical magnitudes underlie their later math achievement (Siegler, 2016). These early forms of numerical knowledge underlie later mathematical skills, such as arithmetic (Geary, Hoard, & Hamson, 1999)

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