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In this article the authors, a Mathematics education professor and two English education professors, describe how we used poetic inquiry in peer-led professional development workshops for field supervisors, who observe and evaluate teacher candidates. Poetic inquiry was taken up to better understand our shared experiences of mentoring teacher candidates and to deepen our thinking about our own pedagogical practices. The experience of writing and sharing these poems in our monthly workshops highlighted commonalities in our values and approaches to mentoring teacher candidates and allowed us to reflect on our own identities and how they influence our practices.

Range lights are pairs of lighthouses on bays, rivers, and other waterways that guide boats safely along a linear path, called the range line. Because lighthouses are expensive to build, operate, and maintain, it is reasonable to minimize the number of lighthouses in use by ensuring that the range lines are as long as possible. The portion of a river that is deep enough for boat traffic is referred to as the river's channel. The channel is dredged often to ensure an appropriate depth for safe passage of boats. To keep a boat in a channel bounded by the curves y = f(x) and y = f(x) + h, the optimally long range lines are the secant or tangent lines to the two curves. For example, a boat traveling from left to right on the river shown in figure 1 should stay in the shaded channel.

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