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发表于 2004-6-25 08:23:55
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唐朝、楚楚的臭美娘、关心数学教法修订一事的朋友们：
我以前从美国的中文图书馆借过两本中文Doman书，一本是阅读，一本是
<<如何使你的宝宝更聪明>>。阅读是教2岁以上的孩子，不是零岁。数学里的加法的
教法是错的，2001年英文新版中完全否定了旧加法的教法，明确说，要避免那种加
法教法。等等。
这个论坛有人问修订的事，上个礼拜天我特意去了一下台湾中心，阅读被借走了，
<<如何使你的宝宝更聪明>>我翻了翻，提到数学的部分，加法是这样说的，要教1+1=2,
1+2=3, 1+3=4等等。
与我的英文书，不符。我的英文书上说，要避免这种教法。
雨珂妈妈买的台湾书，是已经修订过的。我估计，香港出售的台湾版本中文Doman，
都是已经修订过的。因为台湾比香港和大陆都及时地吸收新的信息。
所以，还是放心地买吧。：-)
雨珂妈妈说：“我买的是台湾世茂出版社出的，其中教宝宝数学一书我仔细看了，
不知是不是修订过，其中加法特意提到了要避免类似的算式如“1+2=3, 1+3=4, 1+5=6”，
而应该没有规律，如“1+2=3，2+5=7， 4+8=12”（参见台湾版《如何教宝宝数学》
的第130页）。这应该是正确的吧？”
其实数学教法修订过，我在新浪早教去年就提出过，请看当时“秋爽妈”的回复。
主题：Doman数学点卡教法的第一步，“我乃贤妻良母” 请帮我检查一下有没有错
版权所有：秋爽妈 提交时间：2003-04-20
我当时教女儿，只做了第一步，因为年龄的关系，她的点卡没有学会，点卡的使用
就此打住了。为了纠正我前面帖子的错误，我这里先把第一步抄过来供大家参考。
这是从数学书上抄下来的，我做了一些简略的翻译（不是直译），因为我的翻译水
平有限，所以就不全翻了，只把重要段落的意思翻译出来，还请大家看原文以便获
得准确的理解。
我发现我手头那本How to multiply Your Baby’s Intelligence 那本书上的教法
跟数学书上所说的教法完全不同。幸亏我乃贤妻良母的提醒，要不然真是耽误了大
家了。非常抱歉，请大家原谅。
我乃贤妻良母，请你看一下我抄下来的这部分跟你的书上的说法是否则一致，以及
我的“翻译”是否正确。如果有不一致或不正确的地方，请指正。
乖壮壮mom的帖子中提到的注意事项也同样适用于数学，是书中很重要的一部分。
http://newbbs1.sina.com.cn/baby/view.cg...18&postid=53306
至于我原来的“先教识字，后教数学” 的说法，可能是从How to multiply Your
Baby’s Intelligence 那本书上出来的，因为这本书同时介绍了其它四本书的内容。
我想他的说法只是个建议，不用过于拘泥。如果你想要先从数点卡开始的话，可以
试试看。孩子学不会他会不感兴趣的，会让你知道。Glenn Doman 的教法不会因此
就失效了。不过我会尽量把作者的原文找出来。
－－－－－－－－－－－－－－－－－－－
THE FIRST STEP (Quantity Recognition)
Your first step is teaching your child to be able to perceive actual numbers,
which are the true value of numerals. Numerals, remember, are merely symbols
to represent the true value of numbers. You will begin by teaching your
baby (at the youngest age possible down to birth) the dot cards from one
to ten. You will begin with cards one to five.
第一步是教孩子看出真实数量的能力。先开始教一到十，从卡一到五教起。
Begin at a time of day when your child is receptive, rested and in a good
mood.
选一个孩子接收能力强，精神不错，情绪好的时候开始。
Use a part of the house with as few distraction factors as possible, in
both an auditory and a visual sense; for instance, do not have the radio
playing and avoid other sources of noise. Use a corner of a room that does
not have a great deal of furniture, pictures, or other objects that might
distract your child visually.
选择一个安静的地方，在视觉和听觉上都尽量减少分散注意力的因素。
Now the fun begins. Simply hold up the “one card” just beyond his reach
and say to him clearly and enthusiastically, “This is one” Show it to
him very briefly, no longer than it takes to say it. One second or less.
让我们开始吧。在孩子刚好够不著的距离，把 “一” 卡举起来，清晰并热情洋溢
地说：“这是一。” 只给他看很短的时间，不要超过说话的时间。一秒钟或更
短。
Give your child no more description. There is no need to elaborate.
Next, hold up the “two card” and again with great enthusiasm say, “This
is two.”
接著，举起“二” 卡，再次充满热情地说：“这是二。”
Show the three, four, and five card in precisely the same way as you have
the first two cards. It is best when showing a set of cards to take the
card from the back of the set rather than feeding from the front card. This
allows you to glance at one of the corners of the back of the card where
you have written the number. This means that as you actually say the number
to your child you can put your full attention on his face. This is ideal
because you want to have your full attention and enthusiasm directed toward
him rather than looking at the card as he looks at it.
三，四，五卡也同样给孩子看过。最好是从后面拿卡片给孩子看，这样你在拿的时
候可以看一眼写在卡背面一角上的数字，当你说话的时候，你就可以把全部的注意
力集中在孩子脸上。因为理想的状态是，在孩子看卡片的时候，你所有的注意力和
热情应该给予他，而不是在看卡片。
Remember the more quickly you show him the cards the better his attention
and interest will be. Remember also that your child will have had your happy
and undivided attention and there is nothing that a tiny child loves more
than that.
请记住，给孩子看卡的速度越快，他的注意力就越集中，兴趣就越浓厚。并记住，
孩子在此期间将得到你快乐专注的关注，这是幼小的孩子所最喜爱的。
Do not ask your child to repeat the numbers as you go along. After the five
card has been shown give your child a huge hug and kiss and display your
affection in the most obvious ways. Tell him how wonderful and bright he
is and how much you love teaching him.
不要要求孩子重复你说的数字。在“五” 的卡片看完后，用力拥抱一下孩子，亲吻
他，用最明显的方式表达你的爱意。告诉他他很棒很聪明，你非常喜欢教他。
Repeat this two more times during the first day, in exactly the manner described
above. In the first few weeks of your math program sessions should be at
least one half-hour apart. After that, sessions can be fifteen minutes apart.
第一天重复以上的做法两次。在开始的几个星期里，两次教授的间隔要至少是３０
分钟。以后，可以间隔１５分钟。
The first day is now over and you have taken the first step in teaching
your child to understand mathematics.(You have thus far invested at most
three minutes.)
第一天结束了，你已经迈出了教孩子理解数学的第一步（此时你最多花费了三分钟）
.
The second day, repeat the basic session three times. Add a second set of
five new dot cars (six, seven , eight, nine, and ten). This new set should
be seen three times throughout the day. Since you now will be showing two
sets of five cards and each set will be taught three times in the day you
will be doing a total of six math sessions daily.
第二天，重复基本教授过程三次。并增加一组新卡片（六，七，八，九，十）。
新卡片一天也应该教三次。这一天你一共要教两组卡片，六次。
The very first time you teach the set of cars from one to five and the set
of cards from six to ten you may show them in order (i.e. one, two, three,
four, five). After that initial showing make sure that you always shuffle
each set of cards before the next showing so that the sequence in which
your child will see the cards is unpredictable.
第一次教一到五和六到十的卡片时，你可以按顺序教（就是，１，２，３，４，５）
. 之后每次你都要把每组卡片的顺序打乱，让顺序成为不可预知的。
At the end of each session tell your child he is very good and very bright.
Tell him that you are very proud of him and that you love him very much.
It is wise to hug him and to express your love for him physically.
每次给孩子看过卡片，你都要夸孩子很好很聪明。告诉他你很为他感到骄傲，很爱
他。明智的做法是拥抱孩子，用肢体语言表达你的爱。
Do not bribe him or reward him with cookies, candy, or the like. At the
rate he will be learning in a very short time, you will not be able to afford
enough cookies from a financial standpoint and he will not be able to afford
them from a health standpoint. Besides, cookies are a meager reward from
such a major accomplishment, compared with your love and respect.
不要用饼干糖果一类的东西去贿赂他。
Children learn at lighting speed ━ if you show them the math cards more
than three times a day you will bore them. If you show your child a single
card for more than a second you will lose him. Try an experiment with his
dad. Ask Dad to stare at a card with six dots on it for thirty seconds.
You’ll find that he’ll have great difficulty in doing so. Remember that
babies perceive much faster than grown-ups.
孩子学得非常快。如果一天给孩子看一组卡的次数超过３次，他会觉得无聊。如果
每张卡给他看超过一秒钟，他会失去兴趣。
Now you are teaching your child two sets of math cards with five cards in
each set, each set three times a day. You and your child are now enjoying
a total of six math sessions spread out during the day, equaling a few minutes
in all.
现在你每天给孩子看两组卡，每组五张卡片，每组每天看三次。每天共看六次，分
散在一天内，加起来有几分钟。
The only warning sign in the entire process of learning math is boredom.
Never bore the child. Going too slowly is much more likely to bore him than
going too quickly. Remember that this bright baby can be learning, say,
Portuguese at this time, so don’t bore him. Consider that splendid thing
you have just accomplished. You have given your child the opportunity to
learn the true quantity of ten when he is actually young enough to perceive
it. This is an opportunity you and I never had. He has done, with your help,
two most extraordinary things.
1. His visual pathway has grown and, more important, he is able to differentiate
between one quantity or value and another.
2. He has mastered something that we adults are unable to do and, in all
likelihood, never will do.
Continue to show the two sets of five cards but after the second day mix
the two sets up so that one set might be three, ten, eight, two and five
while the remaining cards woud be in the other set. This constant mixing
and reshuffling will help to keep each session exciting and new. Your child
will never know which number is going to come up next. This is a very important
part of keeping your teaching fresh and interesting.
第二天后，继续教这两组卡，但是要把两组卡片混合之后再分组，比如一组可以是
三，十，八，二和五，其余的卡在另一组。一直这么混合和打乱顺序，使每次的学
习变得新奇。孩子无法知道下一张卡片是什么。这个非常重要，因为可以保持每次
的学习新鲜有趣。
Continue to teach these two sets of five cards in this way for five days.
On the sixth day you will begin to add new card and put away old cards.
继续用这种方法教这两组卡五天。在第六天开始引进新卡，让一些旧卡退休。
Here is the method you should use from this pint on in adding new cards
and taking out old ones: simply remove the two lowest numbers from the ten
cards you have been teaching for five days. In this case you would remove
the one card and the two card and replace those cards with two new cars
(eleven and twelve). From this point on you should add two new cars daily
and put away two old cards. We call this process of putting away an old card
“retirement.” However every retired card will later be called back to
active duty when we get to the second and third steps as you will see shortly.
引进新卡，退出旧卡的方法: 把教了五天的十张卡里数字最小的两张卡退下，在此
时，就是退下一卡和二卡，用两张新卡代替旧卡（十一，十二）. 以后每天，引进
两张新卡，退下两张旧卡。这个退下旧卡的过程被称为“退休” 。每张退休的卡片
以后在第二步和第三步时还会被拿出来使用。
Daily Program
Daily Contents: 2 sets
One Session: 1 set (5 cards) shown once
Frequency: 3 x daily each set
Intensity: -inch read dots
Duration: 5 seconds per session
New cards: 2 Daily (1 in each set)
Retired Cards: 2 Daily (two lowest)
Life Span of Each Card: 3 x daily for 5 days = 15x
Principle: Always stop before your child wants to stop
每天的安排
教授内容： 两组
每次： 一组（五张卡）, 给孩子看一次
频率： 每组每天看三次
学习时间： 每次共用５秒钟
新卡： 每天加两张（每组一张）
退休卡片： 每天退休两张(数字最小的两张)
每张卡的使用次数： 每天３次，一共五天 ＝ １５次
原则： 在孩子不想继续之前就停止
In summary, you will be teaching ten cards daily, divided into two sets
of five cards each. Your child will be seeing two new card daily or one
new card for each set and the two lowest cards will be retired each day.
总结，每天教十张卡片，分为两组，每组五张。每天给孩子加两张新卡片，每组一
张，并退休两张数字最小的卡片。
Children who have already been taught to count from one to ten or higher
may attempt to count each card at first. Knowing how to count causes minor
confusion to the child. He will be gently discouraged from doing this by
the speed at which the cards are shown. Once he realizes how quickly the
cards are shown, he will see that this is a different game from the counting
game he is used to playing and should begin to learning to recognize the
quantities of dots that he is seeing. For this reason if your tiny child
does not know how to count, do not introduce this until well after he has
completed steps one through five of this pathway.
已经会数数的孩子开始学点卡时可能会试图去数，可能觉得有点不知所措。如果你
给他看卡片的时间很短，他会领悟到这跟数数是不同的，就会开始学习认数量。因
为这个原因，幼小的孩子，如果还不会数数，在你教完第一到第五步之前，不要教
他数数。
Again one must remember the supreme rule of never boring the child. If he
is bored there is a strong likelihood that you are going too slowly. He
should be learning quickly and pushing you to play the game some more.
再次提醒大家记住，最要紧的法则是绝不要让孩子觉得无趣。如果孩子觉得无趣，
最有可能的是你教得太慢了。他应该学得很快并要求你多教一些。
If you have done it well he will be averaging two new cards daily. This
is actually a minimum number of new cards to introduce daily. You may feel
that he needs new material more quickly. In this case, you should retire
three cards daily and add three new ones or even four.
如果你做得好，他每天应该差不多学两张新卡。这实际上是个最低限度。你可能觉
得他需要更快地增加新材料，这时，你可以每天退休３张卡，加进来３张新卡，甚
至四张。
By now both parent and child should be approaching the math game with great
pleasure and anticipation. Remember, you are building into your child a
love of learning that will multiply throughout his life. More accurately,
you are reinforcing a built-in rage for learning that will not be denied
but which can certainly be twisted into useless or even negative channels
in a child. Play the game with joy and enthusiasm. You have spent no more
than three minutes teaching him and five or six loving him and he has made
one of the most important discoveries he will ever make in his whole life.
迄今为止，父母亲和孩子应带著很大的乐趣进行这个数学游戏，并对此感到期盼。
请记住，你在培养孩子热爱学习的态度，这个热爱将在他一生中不断增多。更准确
地说，你在强化孩子的内在学习激情，这种激情不能被剥夺，但是却可以被扭曲成
无用，甚至负面的渠道。用快乐和热情来进行这个数学游戏。你花不超过３分钟的
时间教他，用５，６分钟爱他，他就得到了一生中最重要的发现之一。
Indeed, if you have given him this knowledge eagerly and joyously and as
a pure gift with now demands of repayment on the child’s part, he will
have already learned what few adults in history have ever learned. He will
actually be able to perceive what you can only see. He will actually be
able to distinguish thirty-nine dots from thirty-eight dots or ninety-one
dots from ninety-two dots. He now knows true value and not merely symbols
and has the basis he need to truly understand math and not merely memorize
formulas and rituals such as “I put down the 6 and carry the 9.” He will
now be able to recognize at a glance forty-seven dots, forty-seven pennies,
or forty ━seven sheep.
If you have been able to resist testing, he may now have demonstrated his
ability by accident. In either case, trust him a bit longer. Don’t be misled
into believing he can’t do math this way merely because you’ve never met
an adult who could. Neither could any of them learn English as fast as every
kid does.
如果你忍著不去测试他，他可能会无意之间向你显示他的能力。再多信任他点。不
要因为你从来没有见过一个有这样数学能力的大人，就误以为他也不会。
You continue to teach the dot cards, in the way described here, all the
way up to one hundred. It is not necessary to go beyond one hundred with
the quantity cards, although a few zealous parents have done so over the
years. After one hundred you are only playing with zeros. Once your child
has seen the dot cars from one to one hundred he will have a very fine idea
of quantity.
继续用这里说的方法教授点卡，一直教到“一百” 卡。没有必要学过一百。
In fact, he will need and want to begin on the second step of the Math Pathway
well before you get all the way up to one hundred in the dots. When you
have completed one to twenty with the dot cards it is time to begin the
second step.
事实上，他将远在学到一百的时候，就需要并想要开始数学的下一步了。当你完成
了一到二十的点卡时，就应该进入第二步了。
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发表于 2004-6-25 08:23:18
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