In the 1970s, when schools began allowing students to use portable calculators, many parents objected. They worried that a reliance on the machines would weaken their children’s grasp of mathematical concepts. The fears, subsequent studies showed, were largely unwarranted.34 No longer forced to spend a lot of time on routine calculations, many students gained a deeper understanding of the principles underlying their exercises. Today, the story of the calculator is often used to support the argument that our growing dependence on online databases is benign, even liberating. In freeing us from
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