is a mystery to many students. Their first experience with this basic
arithmetic operation is as a table of facts to memorize. The purpose of this
exploration is for students to understand the meaning behind multiplication,
eliminating the mystery.
activity begins with a brief formative assessment of student understanding of
multiplication of two-digit numbers. It supports students’ understanding of
multiplication and its application. Constructivist pedagogy is used to move
learning from the concrete (using manipulatives) to the representational (using
pictures and diagrams) to the abstract (using algorithms). Students build
models of the operation 27 x 15
and its result in a variety of ways. The activity promotes student reasoning
and sense making by analyzing various multiplication algorithms (area models,
partial products, lattice multiplication, and the traditional method).
Demystifying Multiplication [Student Edition]