13 Working in a Dynamic Geometry environment is enough to convince students of the truth of their conjectures, launching their abilities to move up in sophistication and work forward from explanation to justification and proof. The process standards of problem-solving, communication, reasoning, and proof are all advanced by the interactive nature of Sketchpad as students use its dragging function and menus to generalize and work inductively. Activity sheets can serve both as guides and as assessments. Using Sketchpad, students circumvent routine operations and computation and are able to concentrate on the features of graphs, the components of modeling, and trends in data. To cover the content standards of patterns, functions, algebra, modeling, statistics, and data analysis, hundreds of Sketchpad activities are available, already correlated to standards and textbooks in general use. In Sketchpad activities, the operational processes of arithmetic and algebra themselves become structural objects, an important abstract leap that students need to experience if they are to move up in mathematical and problem-solving ability 10 and develop the ability to reason theoretically. Students use that feedback to form conjectures and connect mathematical ideas, as well as to understand the all-important distinction between inexact drawing and constraint-driven construction of objects that will behave according to defined properties. 8 Dragging immediately shows what works and what doesn’t, a feedback process that encourages imagination and error correction. 7īy dragging points and other math objects on-screen in Sketchpad, students overcome the limitations of static textbook images and the misconceptions they can develop from seeing only a few cases. 6 The computer display is a striking focal point for collaboration and group discussion, and for learning mathematical terminology. 5 Using Sketchpad in the classroom is a way of meeting those needs. Teachers know that bringing a strong visual component to mathematics is key to understanding for all students, 4 and indispensable for students challenged by language learning and cognitive issues. ”2 Today’s youngest students are excited by software and use Sketchpad like real mathematicians, to explore, reason, discover, and explain their work in mathematical language. 1 Teachers across the country have called it “the most valuable software for students. The Geometer’s Sketchpad is a proven Dynamic Geometry tool for elementary, middle school, and high school, giving teachers and students a visual way to explore the range of mathematical ideas and representations. Described here is an overview of the extensive research that supports using dynamic geometry, and particularly The Geometer’s Sketchpad, in teaching and learning.
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