The Common Core State Standards make clear that teachers should use the number line to represent integer operations in Grades 6, 7 and 8, continuing the development of number line understanding begun in earlier grades. In this paper, we will investigate the basics of the colored chip and number line models for representing integers and their operations. We will then draw connections between the two models. Finally, we will argue that the number line model is an important one that should be taught alongside or in lieu of the chip model in order to deepen students’ understanding operations with integers, rational numbers, and real numbers in general.
"Rational Number Operations on the Number Line,"
The Mathematics Enthusiast: Vol. 14
, Article 18.
Available at: http://scholarworks.umt.edu/tme/vol14/iss1/18