Document Type

Report

Publication Date

5-2026

Abstract

This portfolio presents an overview of the student educational context, key course concepts, and some approaches to clarify student misconceptions associated with MATH 1020 (Business Calculus I). The portfolio includes a concept map illustrating the major topics of the course and an overview of common student misconceptions, and lesson plans designed to address those misconceptions through research informed instructional practices.

The concept map highlights the interconnected nature of topics such as functions, limits, continuity, differentiability, derivatives, optimization, graph interpretation, and applications of calculus. Particular attention is given to areas where students commonly experience difficulty, including distinguishing domain, codomain, and range; interpreting derivative graphs; understanding continuity and differentiability; connecting graphical and symbolic representations; and applying calculus concepts in contextual problems. The lesson plans included in the portfolio were developed to address these challenges through active learning, cognitive conflict, collaborative discussion, visualization, and formative assessment.

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