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The Math Ceiling: Where’s your cognitive breaking point? – Math with Bad Drawings

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You may ask, “Since I’m fine now, can’t I add that missing piece later, when it’s actually needed?” Sometimes, yes. But it’s much harder. You’ve now spent years without that crucial piece. You’ve developed shortcuts and piecemeal approaches to get by. These worked for a while, but they warped the frame, and now you’re coming up short. In order to move forward, you’ve got to unlearn your workarounds – effectively bending the futon back into its original shape – before you can proceed. But it’s well nigh impossible to abandon the very strategies that have gotten you this far.

你可能会问,“既然我现在很好,我以后再补上那缺失的部分,等到真正需要的时候,不行吗?”有时候,可以。但是这样做会更难。你已经花了几年的时间没有那个关键的部分。你发展了一些捷径和零碎的方法来应付。这些方法一时有效,但是它们扭曲了框架,现在你不够用了。为了向前迈进,你必须放弃你的变通方法——有效地把沙发床弯回原来的形状——然后才能继续。但是放弃那些让你走到今天的策略几乎是不可能的。


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