Ethnomathematics: Mathematical Concept in the Local Game of Tong Tong Galitong Ji for High School

Abstract

The aim of this research was to describe the results of the exploration of mathematical concepts in Malang City’s traditional game Tong Tong Galitong Ji or Nasi Goreng Kecap. This research is a qualitative study with an ethnographic approach. Data were collected through field observations, documentation (photographing and video recording), and in-depth interviews. Data analysis to explore the internal structure of mathematical concepts in the five stages of the game Tong Tong Galitong Ji was performed by taxonomic analysis. Exploration of the concept of basic mathematical operations (addition, subtraction, and multiplication) occurs in stages one through five, exploration of the concept of arithmetic modulo 6 and 3 operations in stages two through four, and exploration of the concepts of arithmetic sequence and probability in stage five of the game Tong Tong Galitong Ji. Stage five features basic mathematic operations of addition, subtraction, and multiplication (division excluded), as well as the concept of arithmetic sequence during the determination of punishment quantity. Punishment quantity is determined by operating any one of the numbers 10, 4, and 7 decided on in stage three with a natural number (ji, ro, lu, …, n) in stage five. The concept of probability also appears in stage five during simultaneous finger showing.