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MERL – PatternMagix: Exploring Emergent Effects of Geometric Symmetries

PatternMagix: Exploring Emergent Effects of Geometric Symmetries

PatternMagix is one of a series of prototype environments in which learners experiment with part-whole relationships by composing objects and observing effects that emerge when the objects combine in a larger context. Such experimentation can support development of scientific understandings in the domain of multivariate systems.     In PatternMagix, learners play in a world of colorful tiles and geometric operations, from which they create mosaic-like patterns. Interactions take the form of a dialog as learners use different modes of the dynamic interface. Play areas change size to reflect the dialogic turn-taking as constructions proceed.

Background & Objective:  Color, animation, dynamic modeling, and interactivity are capabilities of current computational media that help in making tools for learning. Researchers take different approaches to the design, implementation, and evaluation of computational learning environments. MERL's approach follows a "learn by doing" philosophy. Like Dewey, Piaget, and Papert, we believe that learners construct their own knowledge, rather than absorbing what others present to them. We observe that learning happens particularly well when the learner is making something personally meaningful, which others can appreciate. Our aim is to provide tools for creation and appreciation in exploratory learning.

Technical Discussion:  The significance of the Magix series is in its interaction design. We model interactions as a conversation between the learner and the environment. In PatternMagix, each of these partners has a specific role in the construction of tiles and patterns, which are the parts and wholes of the geometric microworld. The balance of control plays out as working areas on the screen shrink and grow, affording the learner different tools and possibilities for interaction. The learner composes tiles using basic geometric operations of symmetry and rotation, and Magix incorporates tiles within the larger context of a pattern. Magix also suggests areas of focus within patterns, which the learner can select and save for new compositions. PatternMagix includes modes for creating, transforming, and animating tile-based patterns.

Contacts:
Joseph Katz

Technical Reports:
TR1997-024 The Magix Series of Playful Learning Environments

Technology Area:  Graphics

Modification Date:  January 23, 2007