Ridha Asy-Syifaa, Ismi (2013) *USING ARRAY REPRESENTATIONS TO SHOW THE COMMUTATIVE PROPERTY OF MULTIPLICATION.* In: Zulkardi(Eds). The First South East Asia Design/ Development Research (SEA-DR) International Conference, April 22nd-23rd, 2013, Unsri, Palembang.

## Abstract

The commutative property of multiplication is an important property to be taught since it helps students in memorizing the basic multiplication facts; multiplication from 0×0 to 10×10. The students do not have to memorize all the facts; they just have to memorize half of the facts if they know the commutative property of multiplication. In Indonesia, learning multiplication usually focus on “group of” model. Thus, the commutative property of multiplication is also introduced using the same model. However, previous researchers state that it is clearer to show commutative property of multiplication using array representation. This representation can show the commutative property of multiplication naturally compare to the “group of” model. Considering the situation, a design of a teaching-learning process to support second grader elementary students to understand the commutative property of multiplication is needed in Indonesia. This design is made to provide a sequence of activities in a mathematics lesson emphasizing in stimulating students to understand the commutative property and the use of the property to solve multiplication problems. The use of use of context and model (array representation) is considered in this design since the activity is design based on PMRI approach. After the design is implemented in class 2A of SD LAB UNESA Surabaya, the result shows that the array representations do not really help all the students in the class experiment to see the commutative property of multiplication. Keywords: multiplication, commutative property, array representation

### Actions (login required)