New Perspectives in Science Education
Multi-Objective Approach to Simultaneous Teaching of Thematically Related Methodological Units. Part II: Implementation
Todor Todorov, Department of Mathematics, Informatics, and Natural Sciences, Technical University of Gabrovo (Bulgaria)
Valentina Todorova-Lazarova, Department of Mathematics, Informatics, and Natural Sciences, Technical University of Gabrovo (Bulgaria)
Abstract
This paper continues the study of a new approach to simultaneously teaching multiple thematic mathematical units. The combination of improper integral and function investigation thematic units is used to compile a model of consideration. The main idea is based on the Partition of Unity Method for solving multistage problems. In this part, the focus is on the implementation of the method through a detailed analysis of a representative function. A
multistage problem is examined step by step, including domain, limits, asymptotic behavior, monotonicity, extrema, concavity, and graphical representation. Intermediate results are obtained by applying estimation techniques and analytical transformations. The results demonstrate how the proposed methodology can be applied in practice and how it supports theoretical reasoning, structured learning, and teaching practice.
Keywords: multi-objective approach, simultaneous teaching, thematically related methodological units, improper integrals, partition of unity method, multistage problem.
REFERENCES
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