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
跟我背CET4核心词汇:obstacle
跟我背CET4核心词汇:entry
跟我背CET4核心词汇:terminal
跟我背CET4核心词汇:profit
跟我背CET4核心词汇:omit
跟我背CET4核心词汇:episode
跟我背CET4核心词汇:sorrow
跟我背CET4核心词汇:attach
跟我背CET4核心词汇:territory
跟我背CET4核心词汇:seminar
跟我背CET4核心词汇:prompt
跟我背CET4核心词汇:principle
跟我背CET4核心词汇:subway
跟我背CET4核心词汇:principal
跟我背CET4核心词汇:environmen
跟我背CET4核心词汇restraint
跟我背CET4核心词汇:repetition
跟我背CET4核心词汇:illegal
跟我背CET4核心词汇:opponent
跟我背CET4核心词汇:geometry
跟我背CET4核心词汇:release
跟我背CET4核心词汇:biology
跟我背CET4核心词汇:deaf
跟我背CET4核心词汇:dump
跟我背CET4核心词汇:comedy
跟我背CET4核心词汇:fatal
跟我背CET4核心词汇:vivid
跟我背CET4核心词汇:geography
跟我背CET4核心词汇:unique
跟我背CET4核心词汇:arithmetic
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