
05239874
j
2008a.00353
Browning, Christine A.
GarzaKling, Gina
Sundling, Elizabeth Hill
What's your angle on angles?
Teach. Child. Math. 14, No. 5, 283287 (2007).
2007
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
G43
R23
angles
elementary geometry
geometric concepts
educational technology
teaching methods
learning activities
graphing calculators
computer software
grade 6
outcomes of education
educational research
Summary: Although the nature of the research varies, as do concepts of angle, research in general supports the supposition that angle is a complex idea, best understood from a variety of perspectives. In fact, the concept of angle tends to be threefold, consisting of: (1) the traditional, static notion of two rays meeting at a common vertex; (2) the idea of an angle as the space between these two rays (angle as wedge); and (3) a more dynamic idea of angle as a representation of a turn. Trying to make sense of a more dynamic concept of angle requires a move beyond paperandpencil tasks, leading to technology as a useful aid. Thus, in an attempt to provide students with such opportunities, the authors of this paper developed activities that focus on angle and angle measure and that incorporate handson activities, graphing calculator applications, and computer software. For several years, these activities were implemented in a college geometry course designed for preservice elementary and middle school teachers, and have recently been implemented in a sixthgrade classroom. This article focuses on the outcomes of the research with the sixthgrade students, concentrating on what transpired as the students engaged in these activities and what concepts of angle evolved during and after their experiences. (Contains 3 figures.) (ERIC)