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Suppose that a secondary school intends to hire a new math teacher, math department head, or math and science director. Do any professional mathematics or educational organizations such as the MAA, NCTM, or NAIS publish a list or summary of competencies, skills, and qualifications that schools should seek in such new hires?

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The MAA has a document (for undergraduate institutions) titled "Guidelines for Programs and Departments in Undergraduate Mathematical Sciences" and addresses some of this in Section C: "Program Faculty and Staffing". See http://www.maa.org/programs/faculty-and-departments/curriculum-department-guidelines-recommendations/guidelines-for-undergrad-programs#c

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