The existence of standardized tests drives the school curriculum, marginalizing nontested subjects. In particular, the arts (fine and applied) are all too often the first to be reduced or eliminated in a budget crisis. Even without a budget crisis, their position is precarious in today's "back to basics" environment, and teachers of these subjects…

The release of the "Australian curriculum: Mathematics" has generated considerable debate in the education community. Some educators warn that this debate has centred on mathematical content and skills, setting the conditions for a "back to basics" movement in line with the political rhetoric that accompanied the national…

We analyze probability content within middle grades (6, 7, and 8) mathematics textbooks from a historical perspective. Two series, one popular and the other alternative, from four recent eras of mathematics education (New Math, Back to Basics, Problem Solving, and Standards) were analyzed using the Mathematical Tasks Framework (Stein, Smith,…

Parrot math (memorization) seeks to control children through external rewards and punishments, rather than harness their intelligence and curiosity. Recent standardized test results document parrot math's failure. Activities-based approaches, supported by a constructivist philosophy (involving classifying, inferring, generalizing, and…

Although rote learning is a heretical notion to many educators, memorizing, reciting, and drilling may be what is needed to improve test scores and provide students with the necessary skills for solving problems and developing complex thinking skills. Sidebars summarize direct-teaching methods for mathematics and a Core Knowledge curriculum…