Premium
Task‐Related Factors that Influence the Spontaneous Use of Diagrams in Math Word Problems
Author(s) -
Uesaka Yuri,
Manalo Emmanuel
Publication year - 2011
Publication title -
applied cognitive psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 100
eISSN - 1099-0720
pISSN - 0888-4080
DOI - 10.1002/acp.1816
Subject(s) - context (archaeology) , diagrammatic reasoning , task (project management) , psychology , cognition , representation (politics) , word (group theory) , diagram , cognitive psychology , computer science , linguistics , mathematics , statistics , paleontology , philosophy , management , neuroscience , politics , political science , law , economics , biology , programming language
Summary Diagrams are effective tools for problem solving. However, previous findings indicate that students generally do not use diagrams spontaneously. This study examined task‐related factors that may influence the spontaneity of diagram use. Experiment 1 compared two possible explanations: the first, that the length‐relatedness of the story context of the problem (i.e. whether it involves the measurement of length) determines the likelihood of diagram use; and the second, that the cognitive cost of transforming the situation described in the word problem to an abstract diagrammatic representation is the more important factor. Four math word problems, differing in their story context and structure, were administered to eighth‐grade Japanese students ( n = 125) to solve. The results provide support for the cognitive transformation cost explanation. The results of experiment 2, in which the problems were administered to students in both Japan ( n = 291) and New Zealand ( n = 323), confirm this finding. Copyright © 2011 John Wiley & Sons, Ltd.