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I presented a new version of Circular Reasoning fractures and fraction circles at Squeakfest '06, which took place July 19-21, 2006 at Columbia College. See synopsis of the talk.

Recently I gave a talk called Exploring Angles with MicroWorlds and Circular Reasoning at NCTM regional conferences.

The talk addresses elementary school children's well-documented difficulties in comparing, measuring, drawing and describing angles. I describe the use of Montessori-inspired (mostly computer-based) activities that address these difficulties and resulted in significant gains in performance on selected NAEP geometry questions for a group of third and fourth graders.

I also wrote up notes on a similar class I'm giving to gifted fourth and fifth graders in the parents section of this site.

Leone Learning Systems, Inc. (LLS) is a North Shore company that provides online courses for kids anywhere and local teaching and tutoring services for students in Chicago and the Northern Suburbs of Chicagoland. LLS also provides a free geometry software package for children age 6 and up, and free resources for teachers and parents. This site includes information about classes taught, availability for tutoring, learning activities for kids, lesson plans, and ongoing software and curriculum research and development efforts.