Overview

This part begins work on understanding the Learning Trajectory for volume measurement by introducing the early levels of students’ developmental progression that have been identified through research on students’ thinking.

Key Point

Schemes for thinking about volume include

• A filling scheme (e.g., pouring into a container)
• A packing scheme (e.g., fitting as many cubes as possible into a box)
• A building scheme (e.g., building structures with cubes without the constraints of a box)
• A comparing scheme (e.g., comparing the volumes of two containers or structures)