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Siti Rohmah Nurhayati
Program Studi Magister Pendidikan Luar Biasa, Fakultas Ilmu Pendidikan, Universitas Negeri Yogyakarta

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Manipulative Learning Accommodates Fraction Comprehension In Inclusive Elementary Classrooms: Pembelajaran Manipulatif Mengakomodasi Pemahaman Pecahan Di Ruang Kelas Dasar Inklusif Musdalifah Musdalifah; Siti Rohmah Nurhayati
Academia Open Vol. 11 No. 2 (2026): December
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21070/acopen.11.2026.15157

Abstract

General Background Mathematics education requires logical reasoning, where fractions represent a notoriously difficult transition from whole-number concepts to proportional thinking. Specific Background Within inclusive elementary environments, traditional teacher-centered instruction frequently fails to provide concrete learning experiences, leaving regular learners alongside students with dyscalculia or slow learning traits struggling to interpret abstract numerical representations. Knowledge Gap Although physical learning tools are widely researched in homogeneous settings, empirical evidence detailing their systematic application to simultaneously support neurotypical children and those with special educational needs in a single space remains scarce. Aims This Classroom Action Research investigates the application of concrete instructional materials, guided by Bruner’s cognitive representation stages, to advance mathematical understanding among twenty-three diverse fourth-grade students at SD Negeri 017 Sangatta Utara. Results The intervention significantly raised classical conceptual mastery from a 26.09% pre-action baseline to 86.96% by the conclusion of the second cycle. Furthermore, the students' average test scores increased substantially from 55.21 to 77.26. Novelty This study uniquely validates that transitioning sequentially through enactive, iconic, and symbolic representations using tangible objects successfully bridges the cognitive demands of abstract mathematics for highly diverse learner profiles simultaneously. Implications Educators must adopt hands-on pedagogical strategies to provide equitable, concrete learning scaffolds that accommodate individualized cognitive requirements during complex arithmetic instruction. Highlights Utilizing concrete instructional materials successfully bridges abstract mathematical gaps for slow learners and dyscalculic students. Conceptual mastery of proportional mathematics surged from a 26.09% baseline to an 86.96% final achievement rate. Transitioning sequentially through distinct cognitive stages minimizes cognitive overload during complex arithmetic instruction. Keywords Inclusive Education; Manipulative Instruction; Fraction Comprehension; Cognitive Representation; Classroom Action Research
Guided Discovery Learning And Fraction Puzzles Facilitate Mathematical Comprehension For Slow Learners: Pembelajaran Penemuan Terbimbing Dan Teka Teki Pecahan Memfasilitasi Pemahaman Matematis Siswa Lamban Belajar Jumiri Aziz; Siti Rohmah Nurhayati
Academia Open Vol. 11 No. 2 (2026): December
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21070/acopen.11.2026.15168

Abstract

General Background Primary education establishes foundational mathematical competencies necessary for logical reasoning and quantitative literacy. Specific Background Students at risk of being slow learners often struggle with abstract mathematical topics, particularly proportional quantities, due to limited working memory capacity and slower cognitive processing speeds. Knowledge Gap Traditional mathematics instruction predominantly utilizes abstract, lecture-based procedures without sufficient concrete manipulative scaffolding, thereby overwhelming the cognitive load of slower learners. Aims This research investigates the application of a modified guided pedagogical framework supported by physical manipulative media to facilitate mathematical conceptualization in fifth-grade students facing cognitive delays. Results Following a two-cycle adaptive classroom action research methodology, the participants' average conceptual understanding scores progressed from 48.0 to 78.0. Furthermore, classroom mastery rates grew from 0% in the preliminary phase to 100%, alongside notable increases in active participation and independent problem-solving capabilities. Novelty This study uniquely adapts exploratory pedagogical frameworks by integrating visual simplifications and concrete enactive manipulation to specifically accommodate the restricted working memory of slower processing students. Implications Providing structured, hands-on learning experiences offers a practical strategy for educators to minimize extraneous cognitive load and cultivate proportional reasoning in inclusive elementary classrooms. Highlights The modified pedagogical intervention progressed the average participant test scores from 48.0 to 78.0 across two instructional cycles. Classroom mastery rates for proportional reasoning tasks advanced from zero to full attainment following the concrete manipulative integration. Participants demonstrated substantial behavioral transitions from passive observation to active engagement and independent cognitive processing. Keywords Proportional Reasoning; Cognitive Load; Inclusive Classrooms; Concrete Manipulatives; Action Research