Claim Missing Document
Check
Articles

Found 3 Documents
Search

Cognitive Barriers in the Transition from Graphical to Symbolic Representation of Integral Concepts: A Systematic Literature Review Marthinus Yohanes Ruamba; Rian Efendi; Elsi Sirampun; Natalia M. I. Weya
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 14 No. 3: July 2026
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v14i3.20660

Abstract

Integral calculus requires students to coordinate graphical, symbolic, and verbal representations rather than rely only on procedural manipulation. However, many students experience cognitive difficulty when converting graphical information, such as shaded regions or curves, into formal integral notation. This study synthesizes empirical evidence on cognitive barriers in the graphical-to-symbolic transition of integral concepts through a Systematic Literature Review (SLR). The review followed PRISMA 2020 guidance and examined empirical journal articles and conference proceedings published from 2016 to 2025 at the university or pre-university transition level. Records were searched in Google Scholar, Garuda, ERIC, and ScienceDirect; after screening and eligibility assessment, eleven studies were included. The selected studies were analyzed through descriptive synthesis and thematic coding to identify literature distribution, theoretical tendencies, and recurring barrier types. The synthesis indicates that representation-oriented and cognitive frameworks, including Duval's Semiotic Register Theory, APOS theory, mental models, and accumulation perspectives, are frequently used to interpret students' difficulties. Three central barriers were identified: (1) visual attribute disorientation, in which students misread visually salient features such as intercepts as integration limits; (2) cognitive conflict in signed area, in which students struggle to reconcile positive area images with negative symbolic accumulation; and (3) multicurve decomposition barriers, in which students have difficulty determining boundaries, intersections, and upper-lower function relationships. These findings suggest that graphical-to-symbolic transition is not merely a procedural issue but a representational coordination challenge. The review recommends barrier-specific learning designs that combine graphical tasks, dynamic visualization, accumulation-based reasoning, and structured error reflection.
Pemberdayaan Guru MI melalui Integrasi Budaya Lokal Papua dan Artificial Intelligence dalam Meningkatkan Kompetensi Numerasi: Empowering Islamic Elementary School Teachers through the Integration of Papua Local Culture and Artificial Intelligence to Enhance Numeracy Competence Rian Efendi; Elieser Kulimbang; Rina Ananta Sumawardani Sitepu
DARMADIKSANI Vol 5 No 3 (2025): Edisi November (Special Edition)
Publisher : Jurusan Pendidikan Bahasa dan Seni, FKIP, Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/darmadiksani.v5i3.8949

Abstract

Tingkat numerasi siswa Indonesia masih rendah, termasuk di MI Darul Ma’arif Numbay, Papua, yang diperparah oleh keterbatasan pemahaman guru dan bahan ajar kontekstual. Pengabdian ini bertujuan meningkatkan kompetensi guru dalam menganalisis dan merancang soal numerasi berbasis budaya lokal Papua. Metode yang digunakan terdiri dari lima tahap terintegrasi: diagnostik awal, pemaparan konsep numerasi (konten, konteks, proses), pendampingan pembuatan soal berbantuan AI, penugasan pengembangan soal, dan evaluasi akhir. Hasilnya menunjukkan 87,5% guru (14 dari 16 peserta) mampu menganalisis komponen soal numerasi secara akurat, dan seluruh guru (100%) berhasil membuat minimal empat soal kontekstual berbasis budaya Papua. Disimpulkan bahwa Workshop dan pelatihan terstruktur berhasil mentransformasi pemahaman guru dan mengoptimalkan integrasi kearifan lokal serta teknologi dalam pengembangan numerasi.
Pengaruh Gaya Belajar dan Kemandirian Belajar terhadap Hasil Belajar Matematika Siswa di Kelas VIII SMP YPK Kotaraja Wa Ode Chelsi Nur; Happy Lumbantobing; Rian Efendi; Raoda Ismail; Dewi Kristika Findya Ning Tyas; Agnes Teresa Panjaitan; Mayor Manurung; Elieser Kulimbang
Journal of Research in Science and Mathematics Education Vol. 5 No. 2 (2026): Current Issue - In Progress
Publisher : EDUPEDIA PUBLISHER

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.56855/jrsme.v5i2.2254

Abstract

Purpose: This study examined the individual and joint effects among Grade 7 students at SMP YPK Kotaraja, Papua, Indonesia. Methodology: A quantitative ex post facto design was employed with 129 students selected proportionally from a population of 187. Data were obtained through validated questionnaires measuring visual, auditory, and kinesthetic learning styles and self-regulated learning, together with official mathematics grades. Simple and multiple linear regression analyses were used after the data met assumptions. Findings: The results showed that learning styles and self-regulated learning each significantly predicted mathematics learning outcomes, with self-regulated learning exerting the stronger contribution. When examined simultaneously, both variables explained 82.3% of the variance in mathematics learning outcomes. The visual learning style predominated, representing 51.94% of the sample. These findings indicate that students’ capacity to plan, monitor, regulate, and evaluate their learning is more strongly associated with mathematics achievement than learning preferences alone. Significance: Learning styles remain relevant for designing responsive instruction, but instructional strategies should prioritize learner autonomy, responsibility, and active engagement. Overall, strengthening self-regulated learning while accommodating diverse learning styles may support improved mathematics learning outcomes and more responsive mathematics instruction in underrepresented educational contexts.