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Trinomial Formula, Pascal- and Sierpinski-Pyramid
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Zeitler, H. – International Journal of Mathematical Education in Science and Technology, 2002
Stimulated by a picture of a Sierpinski-pyramid and an article by Stewart, students were asked about a connection between this pyramid and the well-known trinomial formula. The results of all the work done with students are presented in this note. (Contains 8 figures.)
Descriptors: Geometric Concepts, Mathematics Education, Mathematical Formulas, Validity
Relations between Some Characteristic Lengths in a Triangle
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Koepf, Wolfram; Brede, Markus – International Journal for Technology in Mathematics Education, 2005
The paper's aim is to note a remarkable (and apparently unknown) relation for right triangles, its generalisation to arbitrary triangles and the possibility to derive these and some related relations by elimination using Groebner basis computations with a modern computer algebra system. (Contains 9 figures.)
Descriptors: Computer Uses in Education, Geometric Concepts, Algebra, Foreign Countries