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
深化党和国家机构改革方案:组建中央广播电视总台
下班还不走?首尔市政府将强制关机
成都:车顶蜘蛛侠将被交警处罚
体坛英语资讯:Australian qualifier Kokkinakis stuns Federer at Miami Open
体坛英语资讯:Former world number one Kerber ousts Chinas Wang to make quarters at Miami Open
体坛英语资讯:Fernandinho set for Brazil return against Germany
体坛英语资讯:V.Williams sends defending champ Konta packing in Miami Open
国内英语资讯:China home to 36 pct of worlds unicorn companies: expert
《西部世界》:和第二季相比第一季就是“小打小闹”
盘点全世界最令人匪夷所思的禁令
国内英语资讯:U.S. tariffs on Chinese imports risk disrupting U.S., global trade, say economists
国内英语资讯:China raises basic pension payments by 5 pct
国内英语资讯:First innovation center opens in Xiongan New Area
研究显示 恋爱确实会使人发胖
老外在中国:漫步巴拿马
国内英语资讯:Chinese publisher releases B&R Initiative annual report
Sao Paulo's high-flying commute 在巴西圣保罗“打飞的”上下班
英国电商ASOS为包装拼写错误致歉,这些错别字真的很尴尬!
揭秘瘦人饮食,减肥看这里
Quora精选:英式和美式英语间的误会
《西部世界》:和第二季相比第一季就是“小打小闹”
这几种有毒的“恋爱关系”套路很深,你可一定要注意了
国内英语资讯:China remains attractive market for ambitious global firms: Thyssenkrupp CEO
体坛英语资讯:Former Brazil striker Fred suffers knee injury
脸书5000万用户信息泄露 扎克伯格发声明认错
国内英语资讯:Chinese envoy showcases Chinas water policy at UN General Assembly
欧洲飘起“橙色的雪” 原因竟然是……
这几种有毒的“恋爱关系”套路很深,你可一定要注意了
为什么只是胖了几斤却会对健康造成严重影响呢
体坛英语资讯:Bayern in trouble as Tuchel rejects offer as new coach