Problem-appropriate diagram instruction for improving mathematical word problem solving

The use of diagrams can be effective in solving mathematical word problems solving. However, students worldwide do not construct diagrams unprompted or have trouble using them. In the present study, the effects of problem-appropriate diagram use instruction were investigated with an adaptation of th...

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Vydáno v:Frontiers in psychology Ročník 13; s. 992625
Hlavní autoři: Ayabe, Hiroaki, Manalo, Emmanuel, Vries, Erica de
Médium: Journal Article
Jazyk:angličtina
Vydáno: Frontiers Media 03.10.2022
Frontiers Media S.A
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ISSN:1664-1078, 1664-1078
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Abstract The use of diagrams can be effective in solving mathematical word problems solving. However, students worldwide do not construct diagrams unprompted or have trouble using them. In the present study, the effects of problem-appropriate diagram use instruction were investigated with an adaptation of the multiple baseline design method. The instruction for using line diagrams, tables, and graphs was provided to 67 junior high school students in a staggered manner and the effects on problem solving of three different types of problems was examined. The results showed that use of problem-appropriate diagrams increased and persisted over time. More importantly, the instruction led to increases in problem solving performance and to decreases in perceived cognitive load. These findings support the argument that effective diagram use depends on the acquisition not only of declarative knowledge, but also sufficient procedural and conditional knowledge.
AbstractList The use of diagrams can be effective in solving mathematical word problems solving. However, students worldwide do not construct diagrams unprompted or have trouble using them. In the present study, the effects of problem-appropriate diagram use instruction were investigated with an adaptation of the multiple baseline design method. The instruction for using line diagrams, tables, and graphs was provided to 67 junior high school students in a staggered manner and the effects on problem solving of three different types of problems was examined. The results showed that use of problem-appropriate diagrams increased and persisted over time. More importantly, the instruction led to increases in problem solving performance and to decreases in perceived cognitive load. These findings support the argument that effective diagram use depends on the acquisition not only of declarative knowledge, but also sufficient procedural and conditional knowledge.
The use of diagrams can be effective in solving mathematical word problems solving. However, students worldwide do not construct diagrams unprompted or have trouble using them. In the present study, the effects of problem-appropriate diagram use instruction were investigated with an adaptation of the multiple baseline design method. The instruction for using line diagrams, tables, and graphs was provided to 67 junior high school students in a staggered manner and the effects on problem solving of three different types of problems was examined. The results showed that use of problem-appropriate diagrams increased and persisted over time. More importantly, the instruction led to increases in problem solving performance and to decreases in perceived cognitive load. These findings support the argument that effective diagram use depends on the acquisition not only of declarative knowledge, but also sufficient procedural and conditional knowledge.The use of diagrams can be effective in solving mathematical word problems solving. However, students worldwide do not construct diagrams unprompted or have trouble using them. In the present study, the effects of problem-appropriate diagram use instruction were investigated with an adaptation of the multiple baseline design method. The instruction for using line diagrams, tables, and graphs was provided to 67 junior high school students in a staggered manner and the effects on problem solving of three different types of problems was examined. The results showed that use of problem-appropriate diagrams increased and persisted over time. More importantly, the instruction led to increases in problem solving performance and to decreases in perceived cognitive load. These findings support the argument that effective diagram use depends on the acquisition not only of declarative knowledge, but also sufficient procedural and conditional knowledge.
Author Manalo, Emmanuel
Ayabe, Hiroaki
Vries, Erica de
AuthorAffiliation 1 Graduate School of Education, Kyoto University , Kyoto , Japan
2 Department of System Neuroscience, National Institute for Physiological Sciences , Okazaki , Japan
3 LaRAC, Univ. Grenoble Alpes , Grenoble , France
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  givenname: Erica de
  surname: Vries
  fullname: Vries, Erica de
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This article was submitted to Educational Psychology, a section of the journal Frontiers in Psychology
Edited by: Yiming Cao, Beijing Normal University, China
Reviewed by: Na Li, Central China Normal University, China; Yuri Sato, The University of Tokyo, Japan
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Snippet The use of diagrams can be effective in solving mathematical word problems solving. However, students worldwide do not construct diagrams unprompted or have...
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SubjectTerms cognitive load
Cognitive science
Education
Humanities and Social Sciences
instructional methods
mathematical word problem solving
multiple baseline design
Psychology
representational effect
self-constructed diagrams
Title Problem-appropriate diagram instruction for improving mathematical word problem solving
URI https://www.proquest.com/docview/2726924617
https://hal.science/hal-03954409
https://pubmed.ncbi.nlm.nih.gov/PMC9574201
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