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"Math In A Can": Teaching Mathematics And Engineering Design, Ronald B. Narode

Curriculum and Instruction Faculty Publications and Presentations

Using an apparently simple problem, "Design a cylindrical can that will hold a liter of milk," this paper demonstrates how engineering design may facilitate the teaching of the following ideas to secondary students: linear and non-linear relationships; basic geometry of circles, rectangles, and cylinders; unit measures of area and volume; solving systems of equations with at least two variables; minimization of area to control materials costs and to prevent heat exchange; packing geometry to minimize space for transportation and storage and for controlling for heat exchange; golden ratio as a design aesthetic; ergonomic factors in design including considerations of comfort …