Mapping Students' Cognitive Load Profiles in Solving Geometric Integral Problems

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Title: Mapping Students' Cognitive Load Profiles in Solving Geometric Integral Problems
Language: English
Authors: Muhammad Muzaini (ORCID 0000-0003-0042-7031), Fathrul Arriah (ORCID 0009-0003-3386-1026), Amart Sulong (ORCID 0009-0003-1780-3838), Andi Kaharuddin (ORCID 0000-0002-2365-4993), Jumiarti (ORCID 0009-0005-2687-4034)
Source: European Journal of STEM Education. 2026 11(1).
Availability: Lectito Journals. Wassenaarseweb 20, 2596 CH, The Hague, The Netherlands. Tel: 31-70-2190600; e-mail: info@lectitojournals.com; Web site: http://www.lectitopublishing.nl
Peer Reviewed: Y
Page Count: 21
Publication Date: 2026
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: Cognitive Processes, Difficulty Level, Problem Solving, College Students, Foreign Countries, Geometry, Mathematics Instruction, College Mathematics
Geographic Terms: Indonesia
ISSN: 2468-1954
2468-4368
Abstract: Designing cognitively accessible mathematics instruction requires ensuring that learners can equitably process, understand, and apply complex mathematical ideas. This study examines students' cognitive load when solving geometric integral problems by analyzing intrinsic, extraneous, and germane load within the framework of Cognitive Load Theory. Using a descriptive qualitative approach, data were collected from 144 university students in mathematics-related programs at a public university in Indonesia through thinkaloud protocols, written solutions, and classroom observations. The data were analyzed using NVivoassisted thematic coding and supported by radar visualizations to strengthen analytical trustworthiness. The findings indicate that intrinsic load constituted the dominant cognitive burden, primarily arising from symbolic-visual confusion and visual-spatial difficulties when students attempted to coordinate algebraic expressions with geometric representations. Extraneous load further increased cognitive demands due to ambiguous verbal instructions, misinterpretation of symbolic cues, and excessive technical language; however, visual scaffolding and self-generated sketches were found to reduce unnecessary processing. Germane load emerged among a smaller group of students who demonstrated conceptual transfer, reflective verification, and schema integration, indicating the development of mathematical reasoning as students connected geometric structures with their corresponding integral representations. Overall, the study highlights the central role of instructional design in regulating cognitive load to support meaningful conceptual understanding and reasoning in solving visually complex mathematical problems.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1505196
Database: ERIC
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  Data: Mapping Students' Cognitive Load Profiles in Solving Geometric Integral Problems
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  Data: <searchLink fieldCode="AR" term="%22Muhammad+Muzaini%22">Muhammad Muzaini</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0003-0042-7031">0000-0003-0042-7031</externalLink>)<br /><searchLink fieldCode="AR" term="%22Fathrul+Arriah%22">Fathrul Arriah</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0003-3386-1026">0009-0003-3386-1026</externalLink>)<br /><searchLink fieldCode="AR" term="%22Amart+Sulong%22">Amart Sulong</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0003-1780-3838">0009-0003-1780-3838</externalLink>)<br /><searchLink fieldCode="AR" term="%22Andi+Kaharuddin%22">Andi Kaharuddin</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-2365-4993">0000-0002-2365-4993</externalLink>)<br /><searchLink fieldCode="AR" term="%22Jumiarti%22">Jumiarti</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0005-2687-4034">0009-0005-2687-4034</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22European+Journal+of+STEM+Education%22"><i>European Journal of STEM Education</i></searchLink>. 2026 11(1).
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  Data: Lectito Journals. Wassenaarseweb 20, 2596 CH, The Hague, The Netherlands. Tel: 31-70-2190600; e-mail: info@lectitojournals.com; Web site: http://www.lectitopublishing.nl
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  Data: 2468-1954<br />2468-4368
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  Data: Designing cognitively accessible mathematics instruction requires ensuring that learners can equitably process, understand, and apply complex mathematical ideas. This study examines students' cognitive load when solving geometric integral problems by analyzing intrinsic, extraneous, and germane load within the framework of Cognitive Load Theory. Using a descriptive qualitative approach, data were collected from 144 university students in mathematics-related programs at a public university in Indonesia through thinkaloud protocols, written solutions, and classroom observations. The data were analyzed using NVivoassisted thematic coding and supported by radar visualizations to strengthen analytical trustworthiness. The findings indicate that intrinsic load constituted the dominant cognitive burden, primarily arising from symbolic-visual confusion and visual-spatial difficulties when students attempted to coordinate algebraic expressions with geometric representations. Extraneous load further increased cognitive demands due to ambiguous verbal instructions, misinterpretation of symbolic cues, and excessive technical language; however, visual scaffolding and self-generated sketches were found to reduce unnecessary processing. Germane load emerged among a smaller group of students who demonstrated conceptual transfer, reflective verification, and schema integration, indicating the development of mathematical reasoning as students connected geometric structures with their corresponding integral representations. Overall, the study highlights the central role of instructional design in regulating cognitive load to support meaningful conceptual understanding and reasoning in solving visually complex mathematical problems.
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  Data: 2026
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      – Text: English
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        PageCount: 21
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      – SubjectFull: Cognitive Processes
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      – SubjectFull: Difficulty Level
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      – SubjectFull: Problem Solving
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      – SubjectFull: Foreign Countries
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      – SubjectFull: Indonesia
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      – TitleFull: Mapping Students' Cognitive Load Profiles in Solving Geometric Integral Problems
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