Analisis Kesulitan Representasi Matematis Mahasiswa pada Penjumlahan Vektor
DOI:
https://doi.org/10.58466/j4mqpy39Kata Kunci:
representasi matematis, penjumlahan vektor, kesulitan belajarAbstrak
Penelitian ini bertujuan untuk mendeskripsikan kemampuan representasi matematis mahasiswa dalam penjumlahan vektor serta mengidentifikasi kesulitan yang mereka alami. Penelitian menggunakan pendekatan mixed methods dengan desain explanatory sequential. Subjek penelitian terdiri atas 23 mahasiswa semester 1 Program Studi Teknik Pertambangan. Data dikumpulkan melalui tes tertulis dan tes lisan, kemudian dianalisis secara kuantitatif dan kualitatif. Hasil penelitian menunjukkan bahwa kemampuan representasi matematis mahasiswa belum berkembang secara merata. Sebanyak 43,48% mahasiswa berada pada kategori sangat baik, 17,39% kategori baik, 21,74% kategori cukup, 13,04% kategori kurang, dan 4,35% tidak menjawab. Kesulitan yang ditemukan meliputi menentukan koordinat pada bidang kartesius, memahami operasi penjumlahan vektor, melakukan operasi bilangan positif dan negatif, menggambarkan vektor secara visual, serta merepresentasikan hasil penjumlahan vektor. Hasil tes lisan menunjukkan bahwa kesulitan tersebut tidak hanya disebabkan oleh kesalahan prosedural, tetapi juga oleh lemahnya kemampuan mahasiswa dalam menghubungkan representasi visual, simbolik, dan verbal secara terintegrasi. Temuan penelitian ini menunjukkan bahwa kemampuan representasi matematis mahasiswa masih bersifat parsial sehingga diperlukan pembelajaran yang menekankan integrasi berbagai bentuk representasi melalui visualisasi, eksplorasi, dan translasi antar representasi untuk memperkuat pemahaman konsep vektor secara utuh
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