Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives

Groups of children in 4th, 5th, and 6th grades and college students performed exact calculation and computation estimation tasks with two-digit multiplication problems. In the former they calculated the exact answer for each problem, and in the latter they estimated whether the result of each proble...

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Main Author: Dana Ganor-Stern
Format: Article
Language:English
Published: Frontiers Media S.A. 2018-07-01
Series:Frontiers in Psychology
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fpsyg.2018.01316/full
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spelling doaj-254fd9ffe6444b28b1852922d770fb622020-11-25T01:03:14ZengFrontiers Media S.A.Frontiers in Psychology1664-10782018-07-01910.3389/fpsyg.2018.01316356045Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences PerspectivesDana Ganor-SternGroups of children in 4th, 5th, and 6th grades and college students performed exact calculation and computation estimation tasks with two-digit multiplication problems. In the former they calculated the exact answer for each problem, and in the latter they estimated whether the result of each problem was larger or smaller than a given reference number. The analyses of speed and accuracy both showed different developmental patterns of the two tasks. While the accuracy of exact calculation increased with age in childhood, the accuracy of the estimation task reached its maximum level already in 4th grade and did not change with age. The reaction time of the exact calculation task was longer than that of the estimation task. The reaction time for both tasks remained constant in childhood and decreased in adulthood, with the improvement in speed larger for the exact calculation task. Similarly, within group variability in accuracy was larger in the exact calculation task than in the computation estimation task. Finally, low correlation was found between the accuracy of the two tasks. Together, these findings suggest that exact calculation and computation estimation reflect at least in part different skills.https://www.frontiersin.org/article/10.3389/fpsyg.2018.01316/fullnumerical cognitioncomputation estimationexact calculationdevelopmentmulti-digit arithmeticindividual differences
collection DOAJ
language English
format Article
sources DOAJ
author Dana Ganor-Stern
spellingShingle Dana Ganor-Stern
Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives
Frontiers in Psychology
numerical cognition
computation estimation
exact calculation
development
multi-digit arithmetic
individual differences
author_facet Dana Ganor-Stern
author_sort Dana Ganor-Stern
title Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives
title_short Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives
title_full Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives
title_fullStr Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives
title_full_unstemmed Do Exact Calculation and Computation Estimation Reflect the Same Skills? Developmental and Individual Differences Perspectives
title_sort do exact calculation and computation estimation reflect the same skills? developmental and individual differences perspectives
publisher Frontiers Media S.A.
series Frontiers in Psychology
issn 1664-1078
publishDate 2018-07-01
description Groups of children in 4th, 5th, and 6th grades and college students performed exact calculation and computation estimation tasks with two-digit multiplication problems. In the former they calculated the exact answer for each problem, and in the latter they estimated whether the result of each problem was larger or smaller than a given reference number. The analyses of speed and accuracy both showed different developmental patterns of the two tasks. While the accuracy of exact calculation increased with age in childhood, the accuracy of the estimation task reached its maximum level already in 4th grade and did not change with age. The reaction time of the exact calculation task was longer than that of the estimation task. The reaction time for both tasks remained constant in childhood and decreased in adulthood, with the improvement in speed larger for the exact calculation task. Similarly, within group variability in accuracy was larger in the exact calculation task than in the computation estimation task. Finally, low correlation was found between the accuracy of the two tasks. Together, these findings suggest that exact calculation and computation estimation reflect at least in part different skills.
topic numerical cognition
computation estimation
exact calculation
development
multi-digit arithmetic
individual differences
url https://www.frontiersin.org/article/10.3389/fpsyg.2018.01316/full
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