Kapur applied the principle of productive failure to mathematical problem solving in three schools.

卡普尔将生产失败原理应用于三个学校正在解决的数学问题中。

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On the average, males score higher on tests that measure mathematical reasoning, mechanical ability, and problem-solving skills.

平均说来，每逢在测试数学推理、机械修理的能力，测试解决问题的技巧时，男性的总分总是高于女性。

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It's like solving a mathematical word problem. Before you can come up with an equation and an answer you must know your data.

这很容易做到，只要想想什么情况下你会变得不耐烦，就可以开始行动了——这就像做数学运算一样，在你列出等式得出最后答案之前，你必须知道你的参数。

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Mining involves solving a hard mathematical problem and miners typically use large numbers of computers to speed up the number-crunching involved.

BBC: Bitcoin miners generating high energy bills

Fifty bitcoins are released when that block is done and the work, which involves solving a hard mathematical problem, is completed.

BBC: Rewards set to halve for digital money miners

Mining involves solving a hard mathematical problem and miners typically use large numbers of computers to speed up the number crunching involved.

BBC: Bitcoin miners hit back at cyber-thieves