Tags:Computational Mathematics, Computer Simulation, learning research and Students’ Independent Work

Abstract:

The paper deals with a problem of students’ independent work through learning research. Research method do the learning process the most nearest to the real scientific study. Student does not receive the "ready" knowledge and decisions, but the teacher puts for him the goal, the cognitive problem that this student should solve during independent research activity. To provide such learning re-search in the "Computational Mathematics" course we suggest appropriate com-puter models in MathCAD environment - dynamic support conspectus. Students research some problems of global polynomial interpolation, spline interpolation, choose the appropriate function for approximation, verify the efficiency (accuracy and convergence rate) of some methods of numerical calculation of integrals and solving of non-linear equations. The results of approbation this learning methods in the training process of Kharkiv National Pedagogical University named after G.S.Skovoroda are shown and discussed. Checking the efficiency of our ap-proach was done by such criteria: knowledge level, depth of knowledge, research competency. Statistical analysis of obtained data shows advisability of implemen-tation of learning research in training process.

Computer Simulation as a Method of Learning Research in Computational Mathematics