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Optimization is a tricky topic in calculus. This one-day activity allows students to discover how calculus can help them. Each student (or small group) starts with an index card, which will be cut and folded up to form a box. First they calculate what would happen if the box is made various ways, an...
Lecture notes = stand and deliver in many minds. Guided (fill-in-the-blank) notes = spoon feeding in other minds. Neither one is better or worse than the other. Instead they are structured to meet your students at the place that they are at. The reality is, though, that in a class of 28 - 35 no one is at the same place. So how do you meet them where they are at while retaining the flow of the class? This is a struggle that I have had for the better part of 20 years through a 7 - period day...
