scholarly journals Arithmetic word problem solving: evidence for a magnitude-based mental representation

2012 ◽  
Vol 41 (1) ◽  
pp. 98-108 ◽  
Author(s):  
Josetxu Orrantia ◽  
David Múñez
Keyword(s):  
Problem Solving ◽  
Word Problem ◽  
Mental Representation ◽  
Word Problem Solving ◽  
Arithmetic Word Problem

The Strategic use of Alternative Representations in Arithmetic Word Problem Solving

2005 ◽  
Vol 58 (7) ◽  
pp. 1311-1323 ◽  
Author(s):  
Catherine Thevenot ◽  
Jane Oakhill
Keyword(s):  
Working Memory ◽  
Problem Solving ◽  
Word Problem ◽  
Mental Representation ◽  
Word Problem Solving ◽  
Economic Strategies ◽  
Arithmetic Word Problem ◽  
Set Up ◽  
Cognitive Cost ◽  
Multiple Step

Multiple-step arithmetic problems can be solved by diverse strategies depending on the mental representation constructed by individuals from the situation described in the text of the problem. This representation will indeed determine the organization of subgoals to be reached or in other words the order of completion of calculations. This study aims at determining the conditions under which specific strategies are set up by adults. Using a paradigm that allows us to assess when calculations are performed, we show that adults usually organize their subgoals as they are explicitly mentioned in the problem, even though a strategy that is less demanding on working memory could have been used. However, we show that increasing the difficulty of the problem leads individuals to set up more economic strategies. Moreover, these economic strategies are even more likely to be used when the cognitive cost of the construction of the representation they rely on is low.

Syntactic Awareness and Arithmetic Word Problem Solving in Children With and Without Learning Disabilities

2014 ◽  
Vol 48 (6) ◽  
pp. 593-601 ◽  
Author(s):  
Christian Peake ◽  
Juan E. Jiménez ◽  
Cristina Rodríguez ◽  
Elaine Bisschop ◽  
Rebeca Villarroel
Keyword(s):  
Learning Disabilities ◽  
Problem Solving ◽  
Word Problem ◽  
Syntactic Awareness ◽  
Word Problem Solving ◽  
Arithmetic Word Problem
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