Imagine an ideal math class as Lockhart might envision: one that focuses on the art, joy, and beauty of mathematics, in which students genuinely play with mathe

Imagine an ideal math class as Lockhart might envision: one that focuses on the art, joy, and beauty of mathematics, in which students genuinely play with mathematical ideas. Then, ask yourself how the progress of these students could be evaluated via standardized testing. The two mix poorly.