The Effect of Visual Reasoning on Arithmetic Word Problem Solving

Author:

Purcar Ana-Maria1,Bocoș Mușata1,Pop Alexandra-Lucia2,Roman Alina3,Rad Dana3ORCID,Mara Daniel4ORCID,Crișan Claudia1ORCID,Răduț-Taciu Ramona1,Mara Elena-Lucia4ORCID,Todor Ioana5,Muntean-Trif Letiția5,Neacșu Mihaela-Gabriela6,Costache Colareza Corina7,Maier Monica8ORCID,Tăușan-Crișan Liana9,Triff Zorica8,Baciu Ciprian5,Marin Diana-Crina10,Triff Dorin-Gheorghe11

Affiliation:

1. Faculty of Psychology and Educational Sciences, Babeş-Bolyai University of Cluj-Napoca, 400029 Cluj-Napoca, Romania

2. College of Tourism Services “Napoca”, 400512 Cluj-Napoca, Romania

3. Center of Research Development and Innovation in Psychology, Faculty of Educational Sciences Psychology and Social Sciences, Aurel Vlaicu University of Arad, 310032 Arad, Romania

4. Faculty of Social Sciences and Humanities, “Lucian Blaga” University of Sibiu, 550024 Sibiu, Romania

5. Department for Teacher Training, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania

6. Faculty of Educational Sciences, Social Sciences and Psychology, National University of Science and Technology Politehnica Bucharest, Center Faculty of Educational Sciences, 110040 Pitești, Romania

7. Faculty of Communication Sciences and International Relations, “Titu Maiorescu” University, 040441 Bucharest, Romania

8. Department of Educational Sciences, Faculty of Letters, Technical University of Cluj-Napoca, North University Center of Baia Mare, 430122 Baia Mare, Romania

9. Department of Specialty with a Psycho-Pedagogical Profile, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

10. Specialized Department with Psycho-Pedagogical Profile, National Academy of Music “Gheorghe Dima”, 400079 Cluj-Napoca, Romania

11. Faculty of Engineering, Technical University of Cluj-Napoca, North University Center of Baia Mare, 430122 Baia Mare, Romania

Abstract

First-grade students often encounter challenges in understanding and solving arithmetic word problems due to their limited reading comprehension abilities. Despite these difficulties, students may employ arbitrary strategies, such as combining numbers based on specific keywords, even if they lack a full understanding of the problems. Research suggests that effective mathematical reasoning involves the use of visual mental representations during the problem-solving process. To address this, some studies have explored methods to enhance students’ comprehension of word problems. Building on this, the current study explores the impact of first-grade pupils creating visual representations of problem situations on their comprehension and the number of correct solutions. In a typical math class, 45 first graders received a paper-and-pencil task, and, in a visual context, they solved similar problems after reading and illustrating the situation. The findings reveal that while most participants correctly represented the problem situations through drawing, about half struggled to determine the numeric solutions. Nevertheless, the visual context led to an increase in the number of correct problem solutions compared to the normal context, suggesting the potential benefits of incorporating visual representations in enhancing comprehension and problem-solving skills.

Publisher

MDPI AG

Reference37 articles.

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4. The Impact of Mental Computation on Children’s Mathematical Communication, Problem Solving, Reasoning, and Algebraic Thinking;Pourdavood;Athens J. Educ.,2020

5. Exploring thinking process of students with mathematics learning disability in solving arithmetic problems;Hobri;Int. J. Educ. Math. Sci. Technol.,2021

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