LATTICE MULTIPLICATION DALAM SEJARAH MATEMATIKA ISLAM DAN RELEVANSINYA BAGI PEMBELAJARAN PERKALIAN DI SD/MI
DOI:
https://doi.org/10.32699/jy42qv82Keywords:
Lattice Multiplication, sejarah matematika, matematika Islam, pembelajara perkalian, SD/MIAbstract
Penelitian ini bertujuan untuk menganalisis perkembangan Lattice Multiplication dalam sejarah perhitungan matematika, mengidentifikasi posisinya dalam tradisi matematika Islam, serta mensintesis relevansinya bagi pembelajaran perkalian di SD/MI. Penelitian menggunakan pendekatan kualitatif historis-kritis melalui analisis dokumen dan sintesis literatur. Sumber penelitian meliputi literatur sejarah matematika, kajian mengenai perkembangan aritmetika dalam tradisi Islam, penelitian tentang Lattice Multiplication, serta literatur internasional mengenai sejarah matematika dalam pendidikan. Analisis dilakukan melalui identifikasi sumber, kritik historis terhadap atribusi dan konteks penggunaan metode, analisis tematik, serta sintesis antara perkembangan historis, struktur matematis, dan karakteristik pedagogis. Hasil kajian menunjukkan bahwa Lattice Multiplication tidak tepat diposisikan sebagai penemuan satu tokoh atau satu peradaban, tetapi sebagai bagian dari perkembangan algoritma aritmetika yang berlangsung lintas tradisi. Dalam tradisi matematika Islam, teknik perhitungan berbasis kisi memiliki keterkaitan dengan perkembangan aritmetika yang terdokumentasi dalam karya-karya matematikawan seperti al-Kāshī. Secara pedagogis, struktur lattice memiliki karakteristik visual, sistematis, dan terurai yang memungkinkan perkalian multi-digit direpresentasikan melalui hasil kali parsial dan penjumlahan diagonal. Karakteristik tersebut menunjukkan relevansi lattice sebagai alternatif atau pelengkap algoritma perkalian bersusun di SD/MI, terutama untuk memperjelas hubungan nilai tempat dan organisasi hasil perkalian. Penelitian ini tidak mengklaim efektivitas empiris metode lattice, tetapi menghasilkan landasan historis dan konseptual bagi pengembangan penelitian pembelajaran selanjutnya.
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