PENALARAN MATEMATIS SISWA PADA MATERI PLSV MELALUI METODE GASING BERBASIS PROBLEM-BASED LEARNING

Abstract

Mathematical reasoning among junior high school students, particularly in Linear Equations in One Variable (LEOV), remains a challenge because classroom instruction often emphasizes procedural mastery. This study aimed to examine the effect of integrating the GASING (Gampang, Asyik, dan Menyenangkan) method with Problem-Based Learning (GASING-PBL) on students’ mathematical reasoning in LEOV. A quasi-experimental design with a nonequivalent control group was employed. The participants were 64 eighth-grade students at SMP Negeri 3 Ile Ape Timur, Lembata Regency, who were assigned to the GASING-PBL and conventional instruction groups, with 32 students in each group. Data were collected using a Mathematical Reasoning Test that demonstrated satisfactory content validity and reliability. The data were analyzed using a t-test, Cohen’s d, and normalized gain. The results showed that the GASING-PBL group achieved significantly higher posttest reasoning scores than the control group, with means of 78.43 and 65.21, respectively, p < .001, and d = 0.87. The normalized gain was 0.62 for GASING-PBL, categorized as moderate, compared with 0.39 for conventional instruction, categorized as low. Inductive and analogical reasoning showed the greatest gains. These findings indicate that GASING-PBL can serve as a contextual learning alternative for strengthening junior high school students’ mathematical reasoning in LEOV.

ABSTRACT

Kemampuan penalaran matematis siswa SMP, khususnya pada materi Persamaan Linear Satu Variabel (PLSV), masih perlu diperkuat karena pembelajaran cenderung menekankan penguasaan prosedur. Penelitian ini bertujuan menganalisis pengaruh integrasi metode GASING (Gampang, Asyik, dan Menyenangkan) dan Problem-Based Learning (GASING-PBL) terhadap kemampuan penalaran matematis siswa pada materi PLSV. Penelitian menggunakan desain kuasi-eksperimental dengan kelompok kontrol tidak ekuivalen. Subjek penelitian terdiri atas 64 siswa kelas VIII SMP Negeri 3 Ile Ape Timur, Kabupaten Lembata, yang terbagi menjadi kelompok GASING-PBL dan kelompok pembelajaran konvensional, masing-masing 32 siswa. Data dikumpulkan menggunakan Tes Penalaran Matematis yang telah memenuhi validitas isi dan reliabilitas. Analisis dilakukan melalui uji-t, ukuran efek Cohen’s d, dan normalized gain. Hasil menunjukkan bahwa kemampuan penalaran matematis kelompok GASING-PBL lebih tinggi secara signifikan dibandingkan kelompok kontrol, dengan skor pascates masing-masing 78,43 dan 65,21, p < 0,001, serta d = 0,87. Nilai normalized gain kelompok GASING-PBL sebesar 0,62 berada pada kategori sedang, sedangkan kelompok kontrol sebesar 0,39 berada pada kategori rendah. Penalaran induktif dan analogis menunjukkan peningkatan paling tinggi. Temuan ini menunjukkan bahwa GASING-PBL berpotensi menjadi alternatif pembelajaran kontekstual untuk memperkuat penalaran matematis siswa SMP pada materi PLSV.