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.
要回家了,这些“春运神器”你准备好了吗?
火遍美国的美图秀秀被炮轰暗中收集个人信息
Artificial intelligence predicts when heart will fail 人工智能程序可预测心脏衰竭
让积极成为一种习惯的3种简单方法
一周热词榜(1.14-20)[1]-20)
体坛英语资讯:Warriors smash Magic 118-98
体坛英语资讯:Leipzig, Dortmund wrap up victories in German Bundesliga
体坛英语资讯:Chinese players sweep seasong-opening Seamaster ITTF World Tour Hungarian Open
国内英语资讯: Foreign investment to Shanghai rises for 17th year
应对不善谈的人的5种方法
滴滴回应春节前“打车难打车贵”
国际英语资讯:Russia says Putin, Trump to soon talk by phone
美文欣赏:你真的了解痛苦吗?
体坛英语资讯:Ajax gets rare victory at Utrecht with last-gasp goal from Schone
我的秘密 My Secret
体坛英语资讯:Striker Bobadilla extends at Augsburg
Giraffes' decline; female bullfighter 长颈鹿数量骤减,西班牙女斗牛士
特朗普发表就职演讲 强调重建美国[1]
情商高不一定好 这些坏处你都想不到
体坛英语资讯:OSullivan to fight for Masters title against Perry
国内英语资讯: 12 feared dead in central China landslide
国内英语资讯: China to improve government service for new economy
体坛英语资讯:Coritiba reserve luxury mansion for Ronaldinho as deal nears
放松自己的4种廉价方式
印度2020年前将实现“无卡支付”
美国17岁女孩旅行 不小心碰见“另一个自己”
国内英语资讯: Xinhua Insight: Chinas rustbelt shows signs of economic recovery
美文阅读:你尽力了,但仍然会出问题
国内英语资讯:China closes gaps in anti-corruption fight
林肯的10句经典名言
| 不限 |
| 英语教案 |
| 英语课件 |
| 英语试题 |
| 不限 |
| 不限 |
| 上册 |
| 下册 |
| 不限 |