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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
雅思阅读技巧:略读
雅思阅读简答题的答题方法
雅思阅读高分技巧:分层阅读法五原则
雅思阅读中多选题的解题方法
雅思阅读高分技能实例解析
雅思阅读猜测词义与判断的方法
雅思阅读技巧大全:Short answer questions
雅思阅读技巧和重点笔记整理(三)
雅思阅读:9月考试预测及要注意四大要点
雅思阅读Summary题型的解题方法
快速找出雅思阅读定位词的方法
雅思备考:阅读段句搭配三种解决思维策略
雅思阅读题型的测试点:技能
雅思阅读Choices题型解题技巧
雅思阅读:T/F/NG题型的快速判断法
雅思阅读考试基本技能
做雅思阅读题的十大原则
雅思阅读技巧:四大逻辑关系
雅思阅读摘要填空题型做题技巧
雅思阅读快速找出答案的方法
雅思阅读基本技能运用指导
雅思阅读判断题的解题技巧
雅思阅读:文章分类与版本归纳
人文话题在雅思阅读中的应对策略
雅思阅读“三读”技巧
雅思阅读方法介绍:结构阅读法
雅思阅读题型介绍与高分技巧
雅思阅读:匹配题与多重选择题的解题方法
雅思阅读技能的四个训练方法
雅思阅读八大题型解题方法(上)
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