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.
上一篇: 大学英语六级考试拓展阅读-背诵美文34
下一篇: 大学英语六级考试拓展阅读-背诵美文42
Punching the air
泰晤士高等教育发布世界大学排名 北大清华进前30
上海维密秀门票已经开卖!售价高达9万
飓风艾玛已造成至少7人丧生
'Grand finale' for Cassini space mission 土星探测器卡西尼号任务将“隆重收场”
国际英语资讯:Trump says willing to mediate in Qatar diplomatic dispute
国际英语资讯:Grenade blast kills 1, wounds 14 in Indian-controlled Kashmir
泰晤士高等教育发布世界大学排名 北大清华进前30
国际英语资讯:President Trumps eldest son details 2016 meeting with Russians before Senate panel
世界上最好的巧克力品牌是什么
佛罗里达宣布飓风警告
国际英语资讯:Britains position paper on border with Ireland worrying: Barnier
国际英语资讯:Latest polls see Merkels lead increasing in German election
体坛英语资讯:Chinese sprinter Xie Zhenye scores a PB, lays out ambitions for 2020 Tokyo Games
体坛英语资讯:Nadal into US Open semis, waiting for Federer next
英式英语和美式英语拼写之不同
国内英语资讯:China renews yellow alert for Typhoon Mawar
国内英语资讯:China remains persistent in denuclearizing Korean Peninsula: Xi
国内英语资讯:China marks centenary of former senior official
体坛英语资讯:Zhu Ting leads China for 3-2 win over Brazil at FIVB World Grand Champions Cup
Start 和 begin 两个表示“开始”的高频词汇
国内英语资讯:China to improve quality certification
研究发现 受教育程度越高的人越会说谎
体坛英语资讯:Day-9 Roundup: Chinas 200m mark improved, Zhejiang swimmers dominate National Games pool
“智能垃圾桶”将登陆英国,有望终结手动垃圾分类
Playing Computer Games 玩电脑游戏
体坛英语资讯:FIFA orders a World Cup African qualifier to be replayed
英国5岁女孩写信求助女王,回复异常的暖心
国际英语资讯:Evacuation starts in Florida as Irma landfall projected for Saturday
A Strong Girl 一个坚强的女孩