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Xu, Wei; Zhao, Ke; Li, Yatao; Yi, Zhenzhen – International Journal of Distance Education Technologies, 2012
Determining how to provide good tutoring functions is an important research direction of intelligent tutoring systems. In this study, the authors develop an intelligent tutoring system with good tutoring functions, called "FUDAOWANG." The research domain that FUDAOWANG treats is junior middle school mathematics, which belongs to the objective…
Descriptors: Tutoring, Intelligent Tutoring Systems, Computer Software, Problem Solving
King, James – New England Mathematics Journal, 2011
Transformations are a central organizing idea in geometry. They are included in most geometry curricula and are likely to appear with even greater emphasis in the future, given the central role they play in the "Common Core State Standards" for K-12 mathematics. One of the attractions of geometry is the ability to draw and construct the…
Descriptors: Elementary Secondary Education, State Standards, Geometry, Plane Geometry
Davis, Paul; Raianu, Serban – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2007
According to the Merriam-Webster dictionary, a planimeter is "an instrument for measuring the area of a plane figure by tracing its boundary line". Even without knowing how a planimeter works, it is clear from the definition that the idea behind it is that one can compute the area of a figure just by "walking" on the boundary. For someone who has…
Descriptors: Computer Graphics, Computer Software, Plane Geometry, Calculus

Sandefur, James T. – Mathematics Teacher, 1994
Shows a way in which algebra and geometry can be used together to find the lengths and areas of spirals. This method develops better understanding of shapes, similarity, and mathematical connections in students. Discusses spirals embedded in triangles and squares, the Pythagorean theorem, and the area of regular polygons. (MKR)
Descriptors: Algebra, Area, Computer Software, Mathematics Curriculum

Moskowitz, Stuart – Mathematics Teacher, 1994
Presents activities which use graphing calculators to explore parametric equations of spirals, circles, and polygons. (MKR)
Descriptors: Algebra, Analytic Geometry, Calculus, Computer Software