Abstract
The Measurement Standard states that understanding angles and angle measurement is important in the middle grades (NCTM 2000). To minimize misconceptions that the measure of an angle is determined by the length of its rays (Keiser 2000) or by its interior “space,” our curriculum research and development team decided to introduce angles and angle measurement using transformational geometry, specifically, the motion of rotation. Our class included ten fifth-grade students who had introductory experience with transformational geometry in the fourth grade. Our goals were for students to understand that 360 degrees measured a full rotation and to use this information to determine benchmark angles of 90 degrees, 180 degrees, and 270 degrees. To help achieve these goals, clockwise and counterclockwise movements were also emphasized. We hope the description of our students' developing understandings of angles and angle measurements will help you explore your students' thinking about these concepts.
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