Rafika Meiliati
Universitas Sembilanbelas November Kolaka

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MATHEMATICAL REPRESENTATION IN PROBLEM-SOLVING: A COMPARATIVE STUDY OF REFLECTIVE AND IMPULSIVE COGNITIVE STYLES Rafika Meiliati; Achmad Salido; Aswin Aswin; Dayana Sabila Husain; Chairuddin Chairuddin; Agus Martins
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol. 14 No. 4 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i4.13438

Abstract

Mathematical representation is a crucial skill that enables students to express, interpret, and connect mathematical concepts through visual, symbolic, and verbal forms. This study explores the differences in mathematical representation skills between students with reflective and impulsive cognitive styles in solving two-variable linear inequality system problems. Using a qualitative descriptive approach, four high school students were selected based on their cognitive styles through the Matching Familiar Figure Test (MFFT). Data were collected through problem-solving tasks and semi-structured interviews. The findings indicate that reflective students demonstrate strong mathematical representation abilities, particularly in organizing and translating information across visual, symbolic, and verbal representations. They exhibit a structured and analytical approach to problem-solving, ensuring accuracy and coherence in their representations. In contrast, impulsive students struggle with problem organization, symbolic representation, and verbal explanation, often producing incomplete and less structured representations due to their tendency to prioritize speed over accuracy. These results highlight the influence of cognitive style on mathematical representation and suggest the need for tailored instructional strategies. Future research should expand the study to a broader mathematical scope and implement targeted interventions to enhance students' representation skills according to their cognitive characteristics.
APPLICATION OF PROJECT-BASED LEARNING ASSISTED BY MICROSOFT MATHEMATICS TO IMPROVE STUDENTS' MATHEMATICAL REPRESENTATION ABILITY Dayana Sabila Husain; Rafika Meiliati; Nuralda Nuralda; Aswin Aswin; Achmad Salido
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol. 14 No. 4 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i4.14250

Abstract

This study examined the effect of Project-based Learning (PjBL) assisted by Microsoft Mathematics on students’ mathematical representation ability. A quasi-experimental design with a posttest-only control group was employed in two tenth-grade classes at a senior high school in Kolaka Regency. The experimental group received PjBL with Microsoft Mathematics, while the control group was taught conventionally. Data were collected through a representation test, a questionnaire, and an observation sheet, and analyzed using both descriptive and inferential statistics. Results showed that the experimental group achieved a significantly higher mean score (81.17) than the control group (60.19), with a mean difference of 20.99 points (p < 0.05). The questionnaire findings revealed very positive student perceptions, indicating that Microsoft Mathematics was easy to use, helpful in understanding concepts, and improved problem-solving skills, while also fostering interest and independence. Observation confirmed that PjBL was implemented effectively: teachers provided clear guidance, students designed projects, collaborated, and presented outcomes through various representations using Microsoft Mathematics. These findings demonstrate that combining PjBL with technology strengthens students’ mathematical representation ability and enriches learning. The study implies that technology-supported project learning can serve as an effective model for promoting meaningful, engaging, and skill-oriented mathematics education in secondary schools.Penelitian ini mengkaji pengaruh Project-based Learning (PjBL) berbantuan Microsoft Mathematics terhadap kemampuan representasi matematis siswa. Desain penelitian yang digunakan adalah kuasi-eksperimen dengan kelompok kontrol posttest-only pada dua kelas X di salah satu SMA di Kabupaten Kolaka. Kelompok eksperimen mendapatkan pembelajaran PjBL dengan Microsoft Mathematics, sedangkan kelompok kontrol diajar secara konvensional. Data dikumpulkan melalui tes representasi, angket, dan lembar observasi, kemudian dianalisis dengan statistik deskriptif dan inferensial. Hasil penelitian menunjukkan bahwa kelompok eksperimen memperoleh skor rata-rata yang secara signifikan lebih tinggi (81,17) dibandingkan kelompok kontrol (60,19), dengan selisih rata-rata 20,99 poin (p < 0,05). Temuan angket menunjukkan persepsi siswa yang sangat positif, bahwa Microsoft Mathematics mudah digunakan, membantu dalam memahami konsep, meningkatkan keterampilan pemecahan masalah, sekaligus menumbuhkan minat dan kemandirian. Hasil observasi menegaskan bahwa PjBL terlaksana secara efektif: guru memberikan arahan yang jelas, siswa merancang proyek, berkolaborasi, serta mempresentasikan hasil melalui berbagai bentuk representasi dengan Microsoft Mathematics. Temuan ini menunjukkan bahwa menggabungkan PjBL dengan teknologi dapat memperkuat kemampuan representasi matematis siswa dan memperkaya pembelajaran. Penelitian ini menyiratkan bahwa pembelajaran berbasis proyek yang didukung teknologi dapat menjadi model efektif untuk mendorong pendidikan matematika yang bermakna, menarik, dan berorientasi pada keterampilan di sekolah menengah.