摘要：This study aims to determine the students progress of learning operations on fractions according to Gravemeijer theory in Ngada Regency, East Nusa Tenggara. A qualitative fenomenology research design was selected to attain the research objective. In this research, a hypothetical learning trajectory (HLT) played an important role as a research instrument. The learning kits constructed to implement a series of learning activities in HLT were consulted with two experts in mathematics learning and were tried out to a small group consisting of five Grade IV students of Sekolah Dasar Katolik Bomari Langa in the pilot experimental stage. Then, HLT was compared with the actual learning process in the expe rimental stage involving 24 students. Based on the analysis, it is found out that the students can develop more in the learning of concepts of fraction operations through activity levels different from those based on the RME according Gravemeijer theory. At the first level, namely the situational level, a mathematics drama can stimulate the students’ informal knowledge of the procedure of addition and subtraction operations on fractions. At the referential level, a string of beads and fraction cards become a model for the mathematics drama situation serving as a bridge to the idea of using a number line for the addition and subtraction operations on fractions. At the third level, namely the general level, the students can use a number line as a model for the addition and subtraction operations on fractions. At the formal level, with the aid of a series of numbers, the students construct their own word problems and solve them by means of the formal procedure of the addition and subtraction operations on fractions.
其他摘要：Tujuan penelitian ini adalah untuk mengetahui perkembangan belajar operasi pecahan siswa sekolah dasar menurut teori Gravemeijer di Kabupaten Ngada NTT. Jenis penelitian kualitatif fenome_x005f?nologi digunakan untuk mencapai tujuan penelitian. Dalam pen
关键词：Gravemeijer Theory; hypothetical learning trajectory; addition and subtraction fractions
其他关键词：Teori Gravemeijer; hipotesis trayektori belajar; penjumlahan dan pengurangan pecahan
