Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use

Many mathematics problems can be solved in different ways or by using different strategies. Good knowledge of arithmetic principles is important for identifying and using strategies that are more sophisticated. For example, the problem ‘6 + 38 − 35’ can be solved through a shortcut strategy where th...

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Main Authors: Joanne Eaves, Camilla Gilmore, Nina Attridge
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Published: 2020
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Online Access:https://hdl.handle.net/2134/11799939.v1
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spelling rr-article-117999392020-01-27T00:00:00Z Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use Joanne Eaves (3089043) Camilla Gilmore (1256451) Nina Attridge (1260435) Associativity Attention Conceptual understanding Arithmetic Strategy Measurement <div>Many mathematics problems can be solved in different ways or by using different strategies. Good knowledge of arithmetic principles is important for identifying and using strategies that are more sophisticated. For example, the problem ‘6 + 38 − 35’ can be solved through a shortcut strategy where the subtraction ‘38 − 35’ is performed before the addition ‘3 + 6 = 9’, a strategy which is derived from the arithmetic principle of associativity. However, both children and adults make infrequent use of this shortcut and the reasons for this are currently unknown. To uncover these reasons, new sensitive measures of strategy identification and use must first be developed, which was one goal of our research. We built a novel method to detect the time-point when individuals first identify an arithmetic strategy, based on a trial-by-trial response time data. Our second goal was to use this measure to investigate the contribution of one particular factor, attention, in the identification of the associativity shortcut. In two studies, we found that manipulating visual attention made no difference to the number of people who identified the shortcut, the trial number on which they first identified it, or their accuracy and response time for solving shortcut problems. We discuss the theoretical and methodological contribution of our findings, and argue that the origin of people’s difficulty with associativity shortcuts may lie beyond attention.</div> 2020-01-27T00:00:00Z Text Journal contribution 2134/11799939.v1 https://figshare.com/articles/journal_contribution/Investigating_the_role_of_attention_in_the_identification_of_associativity_shortcuts_using_a_microgenetic_measure_of_implicit_shortcut_use/11799939 CC BY-NC-ND 4.0
institution Loughborough University
collection Figshare
topic Associativity
Attention
Conceptual understanding
Arithmetic
Strategy
Measurement
spellingShingle Associativity
Attention
Conceptual understanding
Arithmetic
Strategy
Measurement
Joanne Eaves
Camilla Gilmore
Nina Attridge
Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use
description Many mathematics problems can be solved in different ways or by using different strategies. Good knowledge of arithmetic principles is important for identifying and using strategies that are more sophisticated. For example, the problem ‘6 + 38 − 35’ can be solved through a shortcut strategy where the subtraction ‘38 − 35’ is performed before the addition ‘3 + 6 = 9’, a strategy which is derived from the arithmetic principle of associativity. However, both children and adults make infrequent use of this shortcut and the reasons for this are currently unknown. To uncover these reasons, new sensitive measures of strategy identification and use must first be developed, which was one goal of our research. We built a novel method to detect the time-point when individuals first identify an arithmetic strategy, based on a trial-by-trial response time data. Our second goal was to use this measure to investigate the contribution of one particular factor, attention, in the identification of the associativity shortcut. In two studies, we found that manipulating visual attention made no difference to the number of people who identified the shortcut, the trial number on which they first identified it, or their accuracy and response time for solving shortcut problems. We discuss the theoretical and methodological contribution of our findings, and argue that the origin of people’s difficulty with associativity shortcuts may lie beyond attention.
format Default
Article
author Joanne Eaves
Camilla Gilmore
Nina Attridge
author_facet Joanne Eaves
Camilla Gilmore
Nina Attridge
author_sort Joanne Eaves (3089043)
title Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use
title_short Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use
title_full Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use
title_fullStr Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use
title_full_unstemmed Investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use
title_sort investigating the role of attention in the identification of associativity shortcuts using a microgenetic measure of implicit shortcut use
publishDate 2020
url https://hdl.handle.net/2134/11799939.v1
_version_ 1802806128642359296