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Development of Three-Dimensional Resiliency Theory in Solving Mathematical Problem

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Title: Development of Three-Dimensional Resiliency Theory in Solving Mathematical Problem
Language: English
Authors: Roar Callaman (ORCID 0000-0003-3241-9300), Daisy Palompon (ORCID 0000-0002-0037-7567)
Source: Journal of Education and Learning (EduLearn). 2026 20(1):608-621.
Availability: Institute of Advanced Engineering and Science. C5 Plumbon, Banguntapan, Yogyakarta, 55198, Indonesia. e-mail: edulearn@uad.ac.id; Web site: http://edulearn.intelektual.org/index.php/EduLearn/
Peer Reviewed: Y
Page Count: 14
Publication Date: 2026
Document Type: Journal Articles
Reports - Research
Descriptors: Resilience (Psychology), Theories, Problem Solving, Mathematics Education, Mathematics Skills, Holistic Approach
ISSN: 2089-9823
2302-9277
Abstract: This study aims to develop a theory to understand how students cultivate and apply resilience in solving mathematical problems. Specifically, it integrates cognitive, emotional, and social dimensions of resilience to create a holistic framework. Using a deductive theory development approach, the study starts with an existing theory, formulates hypotheses, and tests them through data collection and analysis. Seven axioms were formulated leading to three propositions: i) students with higher levels of mathematics resilience will demonstrate greater persistence and effort when faced with challenging mathematical problems; ii) psychological, cognitive and social factors are influential to a student's resilience in solving mathematical problems; and iii) developing a growth attitude, fostering a supportive learning environment, and providing appropriate teacher scaffolding can help all to build mathematical resilience and problem-solving success. From these propositions, the three-dimensional resilience theory in mathematical problem solving is formulated. This theory recognizes the interplay of psychological, social, and cognitive factors. Future research could focus on testing it in various educational settings, such as different grade levels, cultural contexts, or educational systems, to assess its generalizability and robustness.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1495362
Database: ERIC
FullText Text:
  Availability: 0
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  Data: Development of Three-Dimensional Resiliency Theory in Solving Mathematical Problem
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  Data: <searchLink fieldCode="AR" term="%22Roar+Callaman%22">Roar Callaman</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0003-3241-9300">0000-0003-3241-9300</externalLink>)<br /><searchLink fieldCode="AR" term="%22Daisy+Palompon%22">Daisy Palompon</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-0037-7567">0000-0002-0037-7567</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22Journal+of+Education+and+Learning+%28EduLearn%29%22"><i>Journal of Education and Learning (EduLearn)</i></searchLink>. 2026 20(1):608-621.
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  Data: Institute of Advanced Engineering and Science. C5 Plumbon, Banguntapan, Yogyakarta, 55198, Indonesia. e-mail: edulearn@uad.ac.id; Web site: http://edulearn.intelektual.org/index.php/EduLearn/
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  Data: This study aims to develop a theory to understand how students cultivate and apply resilience in solving mathematical problems. Specifically, it integrates cognitive, emotional, and social dimensions of resilience to create a holistic framework. Using a deductive theory development approach, the study starts with an existing theory, formulates hypotheses, and tests them through data collection and analysis. Seven axioms were formulated leading to three propositions: i) students with higher levels of mathematics resilience will demonstrate greater persistence and effort when faced with challenging mathematical problems; ii) psychological, cognitive and social factors are influential to a student's resilience in solving mathematical problems; and iii) developing a growth attitude, fostering a supportive learning environment, and providing appropriate teacher scaffolding can help all to build mathematical resilience and problem-solving success. From these propositions, the three-dimensional resilience theory in mathematical problem solving is formulated. This theory recognizes the interplay of psychological, social, and cognitive factors. Future research could focus on testing it in various educational settings, such as different grade levels, cultural contexts, or educational systems, to assess its generalizability and robustness.
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        PageCount: 14
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        Type: general
      – SubjectFull: Theories
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      – SubjectFull: Problem Solving
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      – SubjectFull: Mathematics Education
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