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
新概念英语第一册 Lesson 77:Terrible toothache
新概念英语第一册 Lesson 115: Knock,knock
新概念英语第一册 Lesson 131:Don’t be so sure
新概念英语第一册 Lesson 113:Small change
新概念英语第一册 Lesson 81:Roast beef and potatoes
新概念英语词汇随身听手册一E开头
新概念英语第一册 Lesson 95:Tickets,please
新概念英语第一册 Lesson 87:A car crash
新概念英语第一册 Lesson 117: Tommy’s breakfast
新概念英语第三册必背词汇(1)
新概念英语第一册 Lesson 79:Carol’s shopping list
新概念英语第一册 Lesson 105:Full of mistakes
裕兴新概念英语名师精讲第三册第1-52课
新概念英语第三册必背词汇(2)
新概念英语第一册 Lesson 137:A pleasant dream
新概念英语词汇随身听手册一F开头
新概念英语第一册 Lesson 61:A bad cold
新概念英语词汇随身听手册一C开头
新概念英语第一册 Lesson 97:A small blue case
新概念英语第一册 Lesson 71:He’s awful
新概念英语词汇随身听手册一D开头
新概念英语第一册 Lesson 119:A true story
新概念英语第一册 Lesson 83:Going on holiday
新概念英语第一册 Lesson 67:The weekend
新概念英语第一册 Lesson 75:Uncomfortable shoes
新概念英语第一册 Lesson 111:The most expensive model
新概念英语第一册 Lesson 123: A trip to Australia
新概念英语第一册 Lesson 127:A famous actress
新概念英语第一册 Lesson 63:Thank you,doctor
裕兴新概念英语名师精讲第一册第1-144课
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