Teaching spline approximation techniques using maple |
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Authors: | Mihály Klincsik |
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Institution: | 1.Dept. of Mathematics of Pollack Mihály Engineering Faculty,Universit of Pécs,Pécs |
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Abstract: | Using Computer Algebra Systems (CAS)-such as MAPLE-in teaching and learning mathematical concepts is a great challenge both
from a didactical and a scientific point of view. We have to rewrite our traditional paper based teaching materials for interactive
and living electronic worksheets, Only few statements and principles have to be acquired by the learner and the teacher from
the CAS and after they can visualise, make animations modify quickly the program data, perform symbolic and numeric calculations
step by step and in the whole, and verify deductions on their own. The author prepared Maple worksheets for teaching different
types of function approximating techniques, such as interpolation-, least square-, spline and uniform approximation methods
for post-graduate mechanical engineering students. In this paper we want to demonstrate how can we keep and improve the famous
problem solving principles and rules given by G. Pólya and R. Descartes (Pólya 1962), when we use the capabilities of CAS.
The education principles active learning, motivations and the successive phases are getting new meaning in the CAS. Our examples
are always concerning with spline functions. Handling the formulas, calculating values and giving proofs are always in the
form of Maple statements. |
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Keywords: | |
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