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
Long and short of a wedding, Chinese-style
Between a rock and a hard place?
Unions must protect, not placate
特朗普发表胜选演说
Textbook example
Labor of love的意思
Second opinion?
Don't make tour groups feel like a race
Take the bull by the horns
温总理政府工作报告热点词语英译欣赏(三)
An elderly woman with two large pots
Due diligence at Portsmouth
The gold-digging game
Catch phrase
温总理政府工作报告热点词语英译欣赏(二)
Firing line的意思
No tans, naked truths
Shoot from the hip
Sore loser
The hollow sirens of law enforcement
Ja(y)ded time ahead[1]
Go back to the drawing board on rules
Never look a gift horse in the mouth
Moral victory
Fair shake
Slow season
Shooting for the stars
Only game in town?
Get real
Heads up?
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