Ideas on systemizing problems for solving a triangle in teaching mathematics
Keywords:
mathematics teaching, triangle, solving a triangle, problem, problem solving, system of problems, GeoGebraAbstract
The paper studies the idea of systemizing problems for solving a triangle. The systems are organized in two groups – basic and additional. The basic problems are the traditional ones for solving a triangle and the additional problems are constructed by replacing one, two or three elements from the basic problem with additional elements of the triangle. The additional elements chosen in the paper are the medians. The subsystem of problems thus obtained is analized according to some didactic components such as construction, short description, solution, logical structure of the solution, complexity of the solution. All the drawings are made by using the GeoGebra dynamic geometry software in order to illustrate the construction as well as to help students in understanding the structure of a given problem and in finding out its solution.
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