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Teaching Derivatives Using the Rule of Four

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Rule of Four
 Calculus
 Conceptual Understanding
 Derivatives
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2025-12
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Brockport Education and Human Development Master's Theses
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RogersEdit3.chw.pdf
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https://soar.suny.edu/handle/20.500.12648/83223
Abstract
Many students struggle with learning the concept of derivatives at the secondary-tertiary level. To help students conceptualize derivatives, teachers can use the rule of four, which states that mathematics should be presented numerically, graphically, algebraically, and verbally. Each of these representations allows students to understand better the complex content being taught. This curriculum project presents four sequential Calculus lessons introducing derivatives. These lessons integrate each of the representations in the rule of four. Answer keys for all student materials are provided in the appendix.
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