Fadhlur Rohman
Universitas Lampung

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Bridging the Verbal Representation Gap: Development of Representation-Based Student Worksheets on the Pythagorean Theorem Fadhlur Rohman; Sri Hastuti Noer; Siti Mutmainah; Agung Putra Wijaya
Mosharafa: Jurnal Pendidikan Matematika Vol. 15 No. 2 (2026): April
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mq6e8584

Abstract

Abstrak Kemampuan representasi matematis merupakan kompetensi inti yang wajib dikuasai peserta didik, namun studi pendahuluan berupa tes representasi terhadap peserta didik kelas SMP mengungkap kesenjangan yang mengkhawatirkan: representasi verbal hanya mencapai 22,13%, jauh di bawah representasi visual (87,88%) dan simbolik (81,67%). Kesenjangan ini bukan sekadar angka, tetapi mencerminkan ketidakmampuan peserta didik mengomunikasikan pemikiran matematis secara utuh, yang berdampak langsung pada kecakapan matematis jangka panjang. Fakta inilah yang mendorong dikembangkannya Lembar Kerja Peserta Didik (LKPD) sebagai instrumen yang secara langsung menempatkan peserta didik sebagai pelaku aktif, bukan penerima pasif dalam membangun representasinya sendiri. Teorema Pythagoras dipilih sebagai konteks materi karena secara inheren menuntut ketiga bentuk representasi sekaligus: visual (menggambar segitiga siku-siku), simbolik (mengoperasikan a² + b² = c²), dan verbal (menginterpretasikan hasil dalam konteks nyata), menjadikannya medan uji yang ideal sekaligus strategis. Penelitian ini mengembangkan LKPD berbasis representasi matematis pada materi Teorema Pythagoras menggunakan model 4D (Define, Design, Develop, Disseminate), yang dilaksanakan hingga tahap Disseminate melalui uji coba one-to-one. Produk berupa 3 LKPD untuk 6 pertemuan, dengan fokus representasi bertahap: visual (LKPD-1), simbolik (LKPD-2), dan verbal-simbolik (LKPD-3), masing-masing memuat aktivitas Discovery Learning 6-sintaks dan tiga pilar Deep Learning (Mindful, Joyful, Meaningful). Hasil validasi ahli menunjukkan seluruh produk memenuhi kriteria valid, dan uji coba kelompok kecil terhadap enam peserta didik kelas VIII menunjukkan bahwa LKPD bersifat praktis dan layak digunakan dalam pembelajaran.   Abstract Mathematical representation is a core competency in mathematics learning, yet a preliminary test with eighth-grade junior high school students revealed a striking gap: verbal representation scored only 22.13%, well below visual (87.88%) and symbolic (81.67%). This result reflects students’ difficulty communicating mathematical thinking in words a weakness with real consequences for long-term mathematical proficiency. To address this, Student Worksheets (LKPD) were developed as instructional tools that engage students in constructing their own representations rather than receiving them passively. The Pythagorean Theorem was chosen as the content focus because it naturally draws on all three representation types at once: visual (sketching right triangles), symbolic (working with a² + b² = c²), and verbal (explaining results in context). This study developed LKPDs based on mathematical representation for the Pythagorean Theorem using the 4D model (Define, Design, Develop, Disseminate), implemented through the Disseminate stage with a one-to-one trial. The product consists of three LKPDs for six sessions, each designed with a progressively different representational focus: visual (LKPD-1), symbolic (LKPD-2), and verbal-symbolic (LKPD-3), each incorporating six-stage Discovery Learning activities and three Deep Learning pillars (Mindful, Joyful, Meaningful). Expert validation confirmed that all three LKPDs meet the valid criteria, and a small-group trial with six eighth-grade students demonstrated that the LKPDs are practical and suitable for classroom use.