Abstract

Some authors argue that age-related improvements in number line estimation (NLE) performance result from changes in strategy use. More specifically, children’s strategy use develops from only using the origin of the number line, to using the origin and the endpoint, to eventually also relying on the midpoint of the number line. Recently, Peeters et al. (unpublished) investigated whether the provision of additional unlabeled benchmarks at 25, 50, and 75% of the number line, positively affects third and fifth graders’ NLE performance and benchmark-based strategy use. It was found that only the older children benefitted from the presence of these benchmarks at the quartiles of the number line (i.e., 25 and 75%), as they made more use of these benchmarks, leading to more accurate estimates. A possible explanation for this lack of improvement in third graders might be their inability to correctly link the presented benchmarks with their corresponding numerical values. In the present study, we investigated whether labeling these benchmarks with their corresponding numerical values, would have a positive effect on younger children’s NLE performance and quartile-based strategy use as well. Third and sixth graders were assigned to one of three conditions: (a) a control condition with an empty number line bounded by 0 at the origin and 1,000 at the endpoint, (b) an unlabeled condition with three additional external benchmarks without numerical labels at 25, 50, and 75% of the number line, and (c) a labeled condition in which these benchmarks were labeled with 250, 500, and 750, respectively. Results indicated that labeling the benchmarks has a positive effect on third graders’ NLE performance and quartile-based strategy use, whereas sixth graders already benefited from the mere provision of unlabeled benchmarks. These findings imply that children’s benchmark-based strategy use can be stimulated by adding additional externally provided benchmarks on the number line, but that, depending on children’s age and familiarity with the number range, these additional external benchmarks might need to be labeled.

Highlights

  • The number line estimation (NLE) task has been extensively investigated during the last decade

  • We examined whether the potential positive effect of labeling was dependent on children’s age by comparing third to sixth graders’ estimation performance and strategy use

  • The results of a follow-up study on children indicated that, in contrast to fifth graders, third graders’ overall estimation accuracy and frequency of quartile-based strategy use did not increase when more benchmark support was given on the number line (Peeters et al, unpublished)

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Summary

Introduction

The number line estimation (NLE) task has been extensively investigated during the last decade. Evidence in favor of this benchmark use is based on several sources, such as participants’ error rates and estimation latencies (Ashcraft and Moore, 2012), the superior fittings of one- and two-cycle power functions compared to logarithmic and linear functions on individuals’ estimation patterns (Barth and Paladino, 2011; Cohen and Blanc-Goldhammer, 2011; Slusser et al, 2013; Rouder and Geary, 2014; Barth et al, 2015; Reinert et al, 2015, though see Opfer et al, 2016), verbal reports of participants’ solution behavior (Newman and Berger, 1984; Peeters et al, 2016, 2017, unpublished), and, eye-movement data (Schneider et al, 2008; Heine et al, 2010; Sullivan et al, 2011). Children generate a third, self-derived benchmark (or briefly: internal benchmark) at the midpoint for locating target numbers in the middle range of the number line (Newman and Berger, 1984; Petitto, 1990; Schneider et al, 2008; Barth and Paladino, 2011; Ashcraft and Moore, 2012; Slusser et al, 2013; Xu and LeFevre, 2016)

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