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Find X And Say Your Work
Did you ever sit down to take a test and discover that the person next to you mumbles his way through the whole thing. You probably thought, "What kind of doofus can"t add a few numbers without moving his mouth?" Turns out the answer may be: a very clever doofus. Because a study published in the Electronic Journal of Research In Educational Psychology suggests that students who think out loud while taking a math test are more likely to get the right answer.
你是否在曾经的考试中发现旁边的人在那嘀嘀咕咕地小声算答案？你可能会想："居然还有这样的笨蛋，要靠动嘴来做计算。"不过根据发表在《教育心理学研究电子期刊》上的一项研究显示：在进行数学考试时，动嘴算的同学更易得到正确答案。所以事实上是你旁边的那位同学真是个极其聪明的笨蛋！
Counting things out on fingers is a time-honored tradition. But this study looked at what happens when students bring their lips in on the action.
手算是个备受推崇的传统方法，但这项研究向我们展示了学生们在数学运算过程中动嘴的效果。
A handful of mathematics students were ushered into separate rooms and given some problems to solve. The researchers videotaped their efforts and graded their exams. And they found that the students who reasoned through their thinking out loud, or who drew out pictures that represented the problem, were able to answer the questions more quickly-and more accurately-than students who were quiet and didn"t doodle.
这项研究中，研究人员选定了少许学数学的学生，并把他们带到不同的房间中解决一些数学问题。研究者用录像监控他们的做题过程并给他们打分，结果发现，那些肯动嘴算题或画出描述问题的图像的同学较之安安静静、不画草图的同学答题更加迅速、精确。
How these sketches and monologues can help with your calculations remains a statement waiting for a proof. Until then, remember: sound it out; show your work; and when you run out of fingers, you can always count on your toes.
草图和嘴算是如何帮助我们运算的问题仍有待证明，不过在那之前，记住：计算时，手、脚、嘴可以一起上！
-Karen Hopkin
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