Problem Types You May Find Useful

I’ve been writing exercises recently that Try to juxtapose concepts that are “related but different” and that can be difficult for students. Here are some examples from kinematics

1. Students are given the same shape graph and the same question, different vertical axis.

2. Students are asked create graphs for different motions where the number the 12 occurs to describe perhaps a position, a distance, a constant speed, an instantaneous speed, an acceleration.

3. Students are given different graphs without axes that all describe the same situation. They have to figure out what the axes are.

This is a nice contrast to “car sorting” where the focus is on how things connect. These exercises better focus on “what’s different” in subtle ways.

As usual, these exercises are fine to just do, but they are probably most useful for provoking certain discussions and/or formative assessment.

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