What can be done to improve the undergraduate education of prospective high school mathematics teachers? The author discusses current problems, potential solutions, and some examples of successful efforts. (pp. 168)
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If you know the eigenvalues of two Hermitian matrices, can you describe the possible eigenvalues of the sum matrix? The authors explain the role of combinatorial gadgets called honeycombs in a recent proof of the description conjectured by Alfred Horn in 1962. (pp. 175)
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