Teaching Multiplication and Division Realistically in Indonesian Primary Schools: A Prototype of Local Instructional Theory

* 18 December 2002, 10.00 hr

PhD thesis defence Dian Armanto, faculty of Educational Science and Technology

The purpose of this study was to investigate how and under what conditions mathematics teaching in Indonesia primary schools can be improved. The research questions were addressed by developing, implementing, and evaluating prototypical materials for teaching multiplication and division of multi-digit numbers in Indonesian primary schools. By conducting developmental research, a prototype of Indonesian local instructional sequences for teaching multiplication and division was constructed. This prototype was based on the 1994 primary school curriculum of Indonesia and the RME theory. It was found that an optimal learning sequence of multiplication consists of a sequence of repeated addition, multiplication by 10, multiplication by multiple of ten, and standard multiplication algorithm. The sequence of division started at unstructured repeated subtraction, followed by limited structured repeated subtraction, structured repeated subtraction, and ended with standard division algorithm. It was also found out that contextual problems guided and accelerated the learning process of multiplication and division. The students were comfortable with the RME leaning condition and performed a good learning progress. This initial successful implementation experiments can be seen as inspiration for further implementation of the RME approach in Indonesian primary schools.

Supervisor prof. dr. Tjeerd Plomp

Second supervisor prof. dr. Koeno Gravemeijer

Assistant-supervisor dr. ir. H.K. Slettenhaar

Referee Dr. Yansen Marpaung

information drs. B. Meijering, telefoon (053) 489 43 85

e-mail b.meijering@bc.utwente.nl