childrens numerical skills 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
2017届高考英语一轮复习语法备考:形容词,副词(含解析)
2017届高考英语一轮复习单元课件:选修6Unit 4《Helping people around the World》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:强调句型(含解析)
2017届高考英语一轮复习单元课件:选修7Unit 4《Public transport》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:名词性从句(含解析)
2017届高考英语一轮复习单元课件:必修1Unit 3《Looking good,feeling good》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:比较结构(含解析)
2017届高考英语一轮复习单元课件:必修5Unit 2《The Environment》 ( 牛津译林版)
2017届高考英语一轮复习单元课件:选修6Unit 2《What is happiness to you》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:谓语动词(含解析)
2017届高考英语一轮复习学案:M3 Unit1《The world of our sense》(第3课时)(牛津译林版)
2017届高考英语一轮复习单元课件:必修3Unit 1《The world of our senses》 ( 牛津译林版)
2017届高考英语一轮复习单元课件:必修5Unit 3《Science versus nature》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:虚拟语气(含解析)
2017届高考英语一轮复习单元课件:必修4Unit 1《Advertising》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:交际用语(含解析)
2017届高考英语一轮复习语法备考:it(含解析)
2017届高考英语一轮复习语法备考:定语从句(含解析)
2017届高考英语一轮复习学案:M3 Unit2 Language》(第2课时)(牛津译林版)
2017届高考英语一轮复习单元课件:必修4Unit 2《Sporting events》 ( 牛津译林版)
2017届高考英语一轮复习单元课件:必修2Unit 2《Wish you were here》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:情态动词(含解析)
2017届高考英语一轮复习语法备考:介词(含解析)
2017届高考英语一轮复习单元课件:选修7Unit 1《Living with technology》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:连词(含解析)
2017届高考英语一轮复习语法备考:短语动词(含解析)
2017届高考英语一轮复习单元课件:选修7Unit 3《The World online》 ( 牛津译林版)
2017届高考英语一轮复习语法备考:名词(含解析)
2017届高考英语一轮复习学案:M3 Unit3《Back to the past》(第1课时)(牛津译林版)
2017届高考英语一轮复习单元课件:选修6Unit 3《Understanding each other》 ( 牛津译林版)
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