People appear to 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 impress accuracy---one knife, one spoon, one fork, for each of the five chairs.
Soon they are capable of nothing 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 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 quantity is unchanged as water pours from a short 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
三步走真正提高雅思听力水平
雅思听力必知的13条重要细节
雅思听力场景分析:新生报到
雅思听力场景解析:环保场景
雅思听力高分必备的三要素
雅思听力中的数学符号缩写词
雅思听力考试的特点和备考方法
怎样做好雅思听力选择题的审题
如何有效利用雅思听力考试时间
雅思听力高分备考攻略三步走
雅思写作8分范文:人生的烦恼
雅思听力的五个备考方法
雅思听力中的六个陷阱
雅思听力场景词汇:生活类
雅思听力场景词汇:饮料篇
雅思听力难题解析系列:填空题
雅思听力的关键:数字
雅思听力场景分析:选课场景
雅思听力常考场景的单词短语分类
雅思听力场景词汇:课题篇
雅思听力考场答题技巧:细心
雅思听力备考技巧:学会预测问题
冲刺阶段的雅思听力备考建议
雅思听力中起指示作用的句子
雅思听力备考的三原则和四个字
雅思听力场景词汇:低碳类
纠正雅思发音及提高听力的方法
雅思听力场景分析:旅游场景
详解雅思听力信息表填空题
雅思听力场景词汇:全球地名篇
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