TITLE
A NONLINEAR APPROACH TO TEACHING THE MEAN VALUE THEOREMS
PART I: A DESCRIPTION OF THE METHOD
AUTHOR(S)
Valentina Todorova-Lazarova*, Penka Ivanova, Radostin Lefterov
ABSTRACT
The Mean Value Theorems (MVTs) are recognized as foundational principles in differential calculus, yet comprehension of their proofs and applications is often challenged by students. Traditional linear teaching methods tend to isolate these theorems, resulting in a fragmented understanding. This study aims to develop a nonlinear teaching approach that highlights the interconnectedness of MVTs and other calculus concepts. Interactive teaching tools and visual aids are employed to enhance students' comprehension by illustrating the relationships between theorems. Significant improvements in engagement and understanding have been indicated by findings, as evidenced by an increased ability of students to apply theorems to real-world problems and to improve their proof-writing skills. Limitations related to diverse learning styles and student populations are acknowledged, while the practical implications of adopting nonlinear methods in calculus education are underscored. This study contributes original insights into pedagogical strategies for teaching MVTs, advocating for a holistic approach that fosters deeper mathematical understanding and retention.
DOI
http://www.doi.org/10.70456/DKGM8289
DOWNLOAD
https://unitechsp.tugab.bg/images/2024/10-ET/s14_p78_v2.pdf
How to cite this article:
Valentina Todorova-Lazarova*, Penka Ivanova, Radostin Lefterov, A NONLINEAR APPROACH TO TEACHING THE MEAN VALUE THEOREMS
PART I: A DESCRIPTION OF THE METHOD, UNITECH – SELECTED PAPERS - 2024