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Calculus for Teachers: Completeness

By David Bressoud @dbressoud As of 2024, new Launchings columns appear on the third Tuesday of the month. Last month in my column "Calculus for Teachers: Uniform Continuity'' I explained how Dirichlet plugged the hole in Cauchy's proof that every continuous function is integrable by proving that a continuous function on a closed and bounded interval...

Looking Back, Moving Forward: The Transition Years in Mathematics Education

By Joel Amidon and John W. Staley  Over the last four years, a group of national mathematics organizations came together with a common purpose: to improve the mathematics experiences and outcomes for students during the final two years of high school and the first two years of postsecondary education—what we call the Transition Years. Through...
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