Syzygy Shareware
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Thomas C. Bretl  
Freeware to "explore, see in new ways, discover patterns, and solve problems." Bretl offers simulations and visualizations for investigating probability, calculus, Mandelbrot Sets, and Sierpinski's Triangle and similar fractals by recursion; GeoFit (create patterns with virtual Bretl block puzzles); SquArray (make magic squares or solve the 1415 puzzle); Algernon (guide a mouse through a maze with forward, right, and left commands); Arithmetic Quilts (create modular arithmetic tables using colors instead of numbers); and Recursive Quilts (recursive definitions determine the colors). His games include Darts (aim at target balloons by specifying the coordinates) and Mystery Motion (determine the twodimensional motion of an object as it travels across a table given only its onedimensional motion as viewed from the front or side). See also Bretl's skillbuilding programs, such as Reckonings (reach nine target numbers by arithmetically combining a randomly selected group of four given numbers). Written in LiveCode; available for MacOS and Windows.  


Levels:  Elementary, Middle School (68), High School (912) 
Languages:  English 
Resource Types:  Computers, Collections, Educational Vendors, Instructional Packages/Games, Web Interactive/Java 
Math Topics:  Algebra, Arithmetic/Early Math, Geometry, PreCalculus, Probability/Statistics 
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