We argue that there are two conceptually different area models for whole number multiplication: area-to-area model and lengths-to-area model depending on how multiplication operation is conceived: action on / change of an initial quantity, or operation / coordination of two quantities. These models complement each other to promote students’ conceptual understanding of whole number multiplication and help students extend their understanding of whole number multiplication to fraction multiplication.
Kwon, Oh Hoon; Son, Ji-Won; and I, Ji Yeong
"Revisiting Multiplication Area Models for Whole Numbers,"
The Mathematics Enthusiast: Vol. 16
, Article 17.
Available at: https://scholarworks.umt.edu/tme/vol16/iss1/17