Abstract
In teaching intensive quantity, it is important to properly understand the meaning
of numerical values as quantity. Understanding the meaning of the quantity also requires
understanding its unit. However, arithmetic education discusses extensive quantity such
as length and weight, but not intensive quantity, operations between units, and expression
in units. This study was conducted in January 2017, with the aim of obtaining suggestions
on teaching intensive quantity. Fourth (n=131), fifth (n=122), and sixth (n=130) graders
participated in this study. Their understanding of meaning and unit of quantity was
examined using investigation problem regarding second term of three kinds of intensive
quantity. Participants were asked to solve three problems about intensive quantity.
Results showed that although the success rate was high, some participants solved the
problems without grasping the meaning of the numerical value.
