eking something.   －john barrymore

　　57.students learn far more when they do the math themselves.  学生自己进行数学运算所获得的收益远比依赖计算器多。

　　58.a student who learns to handle numbers mentally can focus on how to attack a problem and then complete the actual calculations easily.  学会心算的学生能把注意力集中到如何解题上, 然后轻而易举地完成实际运算。

　　59.it’s my mother who has been encouraging me never to lose heart when i had difficulties in study.  这些年来，当我在学习中遇到困难时，是我的母亲一直在鼓励我从不要泄气。

　　60.with more students applying to college than ever before, admissions directors are paying especially close attention to essays, interviews, and teacher recommendations.  由于有比以往更多的学生申请上大学, 招生部主任将格外注重作文、面试和教师的推荐信。

　　61.calculators prevent students from seeing this kind of natural structure and beauty in math.  计算器妨碍学生认识数学中这类自然结构和美。

　　62.if we don’t require students to do the simple problems that calculators can do, how can we expect them to solve the more co

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