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Indeed, because new developments build on fundamental principles, it is plausible, as many observers often suggest, that one should focus first on restoring strength to time-honored fundamentals before embarking on reforms based on changes in the contemporary practice of mathematics. Archimedes' Revenge: The Joys and Perils of Mathematics.
Change in the practice of mathematics forces re-examination of mathematics education.
The key issue for mathematics education is not whether to teach fundamentals but which fundamentals to teach and how to teach them. Bridges to Infinity: The Human Side of Mathematics.
Changes in the practice of mathematics do alter the balance of priorities among the many topics that are important for numeracy.
Mathematics, in the common lay view, is a static discipline based on formulas taught in the school subjects of arithmetic, geometry, algebra, and calculus.
But outside public view, mathematics continues to grow at a rapid rate, spreading into new fields and spawning new applications.