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It is suggested to teach Mathematics for engineers
based on development of mathematical intuition, thus, combining
conceptual and operational approaches. It is proposed to teach
main mathematical concepts based on discussion of carefully
selected case studies following solving of algorithmically generated
problems to help mastering appropriate mathematical tools.
The former component helps development of mathematical intuition;
the latter applies means of adaptive instructional technology
to improvement of operational skills. Proposed approach is applied
to teaching uniform convergence and to knowledge generation
using Computer Science object-oriented methodology.