People appear to be born to compute. The numerical skills of children develop so early and so inexorably that it is easy to imagine an internal clock of mathematical maturity guiding their growth. Not long after learning to walk and talk, they can set the table with impressive accuracy -- one knife, one spoon, one fork, for each of the five chairs. Soon they are capable of noting that they have placed five knives, spoons and forks on the table and, a bit later, that this amounts to fifteen pieces of silverware. Having thus mastered addition, they move on to subtraction. It seems almost reasonable to expect that if a child were secluded on a desert island at birth and retrieved seven years later, he or she could enter a second-grade mathematics class without any serious problems of intellectual adjustment. Of course, the truth is not so simple. This century, the work of cognitive psychologists has illuminated the subtle forms of daily learning on which intellectual progress depends. Children were observed as they slowly grasped -- or, as the case might be, bumped into -- concepts that adults take for granted, as they refused, for instance, to concede that quantity is unchanged as water pours from a short stout glass into a tall thin one. Psychologists have since demonstrated that young children, asked to count the pencils in a pile, readily report the number of blue or red pencils, but must be coaxed into finding the total. Such studies have suggested that the rudiments of mathematics are mastered gradually, and with effort. They have also suggested that the very concept of abstract numbers - the idea of a oneness, a twoness, a threeness that applies to any class of objects and is a prerequisite for doing anything more mathematically demanding than setting a table - is itself far from innate.
如何克服雅思听力考试时的紧张心理
雅思听力备考的七大细节整理
打造雅思听力高分的三个细节讲解
详解雅思听力名词单复数的问题
雅思听力考试时需要当心的5类陷阱
浅析雅思听力考试与国内考试区别
提高雅思听力水平的综合手段
实例解析雅思听力选择题中的比较考点
20个雅思听力高频短语整理
雅思听力备考策略:把握关键信息
雅思听力答案拼写的注意事项
雅思听力的三个常见失分点介绍
五个雅思听力的提高要点解读
雅思听力的三大冲刺技巧介绍
雅思听力表格填空题的审题注意点
雅思听力搭配题的解题思路分享
雅思听力的六个高分策略分享
提高雅思听力水平的六个阶段
详细解析雅思听力的选课场景
雅思听力易混淆词汇整理
浅谈雅思听力考试时间的分配问题
雅思听力长段子的应对技巧
雅思听力提高的七个步骤
雅思听力Section 1常考场景分析
快速提高 雅思听力魔鬼训练法
10组易混淆的雅思听力短语辨析
雅思听力section 2场景介绍
雅思听力机经是什么?
雅思听力满分的四步解题法
四个实用的雅思听力考场技巧分享
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