Ten recent results in pure mathematics are described, covering the continuum hypothesis, Diophantine equations, simple groups, resolution of singularities, Weil conjectures, Lie groups, Poincare conjecture, exotic spheres, differential equations, and the index theorem. Proofs are omitted, but references are provided. (DT)

A renewal of the study of the philosophy of mathematics is encouraged and a search is made for a philosophy better attuned to the present state of the subject. (MP)

A commentary on the state of mathematics in schools that discusses positive aspects, such as the United States' successes in International Mathematics Olympiad, as well as the much-publicized criticisms of modern mathematics. (MK)