SYSTEM DYNAMICS TO SUPPORT THE TEACHING AND LEARNING OF THE INTUITIVE CONCEPT OF DERIVATIVES AND INTEGRALS IN HIGH SCHOOL
DOI:
https://doi.org/10.56238/arev7n9-327Keywords:
Causal Diagram, Stock and Flow Diagram, Graphical Integration and Differentiation Process, Vensim-PLEAbstract
The main objective of this article is to apply System Dynamics as a teaching tool for the intuitive concepts of derivatives and integrals of functions at the high school level. Using stock and flow dynamics, we hypothesize that it is possible to didactically represent the intuitive idea behind these concepts. Through the processes of differentiation and graphical integration, we pave the way for understanding rates of change and accumulation of quantities. The contribution of this approach to the concepts of derivatives and integrals via stocks and flows also allows for an intuitive understanding of how some models defined by differential equations are obtained. Using the free-to-use computer simulation software Vensim-PLE, an educational version, we interpreted the causal diagrams and stock and flow diagrams of System Dynamics. The research adopted a qualitative approach and was based on the principles of System Dynamics and the use of Vensim software. Finally, a proposed teaching sequence is presented to address these concepts and support the initial and continuing education of elementary school teachers.
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References
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MIT System Dynamics in Education Project (SDEP)». https://web.archive.org/web/20080509163801/http:/sysdyn.clexchange.org/ Consultado em 10 de abril de 2024. Arquivado do original em 8 de maio de 2025.
