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
名师指导非英语专业考生备考四级方法
英语四级名师指导让弱项不显弱让强项更强
后四级时期备战英语六级考试
英语四六级考试全题型备考攻略
四六级考试试卷各科目分数配比
打造英语四六级考试最高分
点评英语四级试题
从评分标准看如何准备英语四六级的写作部分
英语四级考试考前两周最后冲刺
英语四六级考试各题型完全解析
考场上如何充分利用考试时间
名师教你四六级最后一击
自考学习的十种方法
关于英语四六级加油站帮你攻克四六级英语考试
大学四六级英语考试的五个失分点
名师指导全真试题经典备战四六级
英语四六级考试复习三大法则
名师点拔英语四六级考前听力阅读冲刺备考
作文考试时候的注意事项
四六级考试5个词拿下快速阅读
英语四六级应试学习技巧指南
名师点拨英语四六级过关终极突破
英语四六级机考改革大学新生该何去何从
名师指导如何合理安排英语四六级复习时间
专家指导英语瘸腿考生四六级考试通关的要点
名师指导英语四六级完形填空解题思路
四六级专家如何应对新英语四级考试
名师点评12月英语四六级考试真题
六级进入真题模考阶段专家提醒重视新题型
名师推荐英语四六级阅读难点句型翻译
| 不限 |
| 英语教案 |
| 英语课件 |
| 英语试题 |
| 不限 |
| 不限 |
| 上册 |
| 下册 |
| 不限 |