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5.   Dynamic Geometry:
Investigating shapes with dynamic geometric software

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	SREB Readiness Indicator Draw with appropriate tools and classify different types of geometric figures using their properties > Additional indicators
	Skills Classify geometric figures using their properties Use knowledge of properties of geometric figures to construct and explain basic logical arguments Build the conceptual basis for understanding the formal structure of algebraic and geometric proof
	Figure 1: Interactive worksheet (Click to open and test)

Overview

The Geometer's Sketchpad® is software for constructing dynamic geometric models. In the Dynamic Constructions activity, students identify key characteristics of geometric shapes using a teacher-designed interactive worksheet (Figure 1). Students drag vertices to transform shapes (Figure 2) and investigate their basic properties. In preparation for a follow-up activity during which students will use the software to construct their own interactive figures, they discuss the defining characteristics of the shapes and begin to categorize the shapes based on these characteristics.

The Value of This Technology

With dynamic geometric software "students do not have to be stuck with a description in words and symbols or with a diagram in a book that can't be examined or explored" (Rubin, 1999, p.3). This type of software enables students to manipulate figures through an entire range of transformations each of which is governed by one or more rules. This animation makes the invariant characteristics of shapes evident—a process that, until now, could take place only in the student's imagination.

Look in the Classroom

Ms. Macolini wants to expand her students' understanding of geometric shapes...
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