Improving The Understanding Of The Arithmetic Concept Through Realistic Mathematic Education (RME)

This study aims to improve the arithmetic concept understanding of the second grade students of Percobaan 2 Yogyakarta elementary school through Realistic Mathematic Education (RME). This study was a classroom action research. This study was conducted in two cycles. The participants were the students and teacher of second grade (IIA) of Percobaan 2 Yogyakarta Elementary School. The data were collected by observation form, manual interview, and test. Observations were used to collect the data of the students’s activities in mathematics teaching and learning. The test was used to collect the data of the students’s arithmetic concept understanding. The results of the study show that RME improve the students’s arithmetic concept understanding of Percobaan 2 Yogyakarta Elementary School. There are the improvements of arithmetic concept understanding after doing mathematic teaching and learning through RME. The improvements are: (a) repeating a concept ability increases from 79.9798% to 84.3434%, (b) classifying objects according their characteristics increases from 70,9090% to 86.3636% , (c) giving the example and non-example ability increase from 94.8864% to 95.4545%, (d) presenting the concept in all of represented mathematics increases from 73.8634% to 89.3939%, (e) developing the sufficient and necessary condition ability of a concept increases from 46.9697% to 79.5454%, (f) Using and deciding a particular procedure increases from 71.9697% to 78.0303%, (g) aplying concept increases from 71.2121% to 78,7879%. Generally, the arithmetic concept understanding increases from 72.7273% to 85.0000%. Key words: arithmetic concept understanding, realistic mathematic educatio

PENYELESAIAN VEHICLE ROUTING PROBLEM WITH TIME WINDOWS DENGAN PENDEKATAN GOAL PROGRAMMING

Tujuan dari penelitian ini adalah membentuk model vehicle routing problem with time windows. Model yang diperoleh diselesaikan dengan goal programming. Selanjutnya, diterapkan pada rute distribusi Liquified Petroleum Gas (LPG). Untuk 5 node yang digunakan dalam simulasi menggunakan LINGO dengan waktu maksimal yang diberikan adalah 6 jam per minggu, maka semua node dapat terlayani. Ketika waktu maksimal yang diberikan 3 jam per minggu, maka hanya 2 node yang dapat terlayani

OPTIMISASI RUTE DISTRIBUSI LIQUIFIED PETROLEUM GAS (LPG) DI KOTA YOGYAKARTA DENGAN MODEL VEHICLE ROUTING PROBLEM (VRP) MELALUI PENDEKATAN GOAL PROGRAMMING

Tujuan dari penelitian ini adalah membentuk model vehicle routing problem with time windows. Model yang diperoleh diselesaikan dengan goal programming. Selanjutnya, diterapkan pada rute distribusi Liquified Petroleum Gas (LPG). Untuk 5 node yang digunakan dalam simulasi menggunakan LINGO dengan waktu maksimal yang diberikan adalah 6 jam per minggu, maka semua node dapat terlayani. Ketika waktu maksimal yang diberikan 3 jam per minggu, maka hanya 2 node yang dapat terlayani