Have you read Doman's book? You should check and see if it is available at your local library, or you can get it on amazon.com for around $10. It would really help you to understand the process more if you read the "how-to" chapters, if you have the book available.
But as for you question, once you've taught numbers 1-20 (about two weeks) you're supposed to start teaching addition. Do you know how to do this? You simply get three dot cards and flash them one at a time saying "One" (hold up the one card) "plus two" (hold up the two card) "equals three!" (show the three card). Do this very, very fast OR ELSE your child will get very, very bored and refuse to look at them. Be extremely joyful.
Show three different equations per session. For example, show 1+2=3, 5+7=12, 8+10=18. Avoid doing repetitive equations, such as 1+1=2, 1+2=3, 1+3=4. This would bore the baby and there is no need for it. And there is no need to do every possible equation under the sun. Three times a day for two weeks is more than enough to give him a grasp of addition, etc.
Each session should take you no more than thirty seconds, max, otherwise you will bore the baby. Have three equation sessions a day. You will teach addition for two weeks, then subtraction, then multiplication (repeated addition), then division (reversed multiplication). Just this morning I have uploaded all the schedules that I used when teaching my son addition, subtraction, multiplication, and division. You can download the sample schedule outline. There are also lists of ALL the possible addition, subtraction, multiplication, and division equations from one through one hundred (one-step equations like 2x2=4) to help you make you your own schedules. I hope you find these resources valuable and I hope that I will have much more information on the math program up and running soon.
Here is the link:
http://worldsbesteducation.org/math.aspxFor teaching quantity, you are supposed to have two sets of quantity cards that you teach three times a day. For example, in the first week, you will have one set of cards with the numbers (dots) one, two, three, four, and five and another set with the numbers six, seven, eight, nine, and ten in them. The first day you only show one set (numbers 1-5) but the second day you show two sets (1-5 and 6-10). The very first time you show the cards you may show them in order, but after that make sure you mix the cards up each time.
Retiring CardsAfter five days you start retiring old cards and adding new cards. The MINIMUM is two cards a day, one from each set, but you will soon change to retiring more each day so that your child doesn't get bored. Once you get to forty you should be retiring at least three a day. Remember, even though you retire them (put them away) it will not be the last time your baby sees them. He will see each card many more times in equations and games later on.
Here is how to retire cards: after the first five days of showing numbers one - ten, change your sets from set one having 1-5 and set two having 6-10 to
TWO SETS WITH ONE EVEN-NUMBERED SET AND ONE ODD-NUMBERED SET. For example, in set one you will put all of your odd numbers:1,3,5,7, and 9 and in set two you will put all of your even numbers: 2,4,6,8, and 10. You do this so that you will be retiring one old number from each set (1 [odd] and 2 [even]) and adding one new card to each set (11 [odd] and 12[even]). Pretty simple, eh?
After two weeks of teaching quantity you should start teaching equations. After you've taught numbers one through twenty you should begin addition. You will do addition equations for two weeks, subtraction equations for two weeks, multiplication for two weeks, and division for two weeks. Also note that once you get to forty you should be retiring AT LEAST three cards a day to keep your baby interested. You can retire four a day, or even five - you will know how quickly your baby learns them - you can see it in their eyes. If they are turning their head away that is a good indication that "Mom, I already know these!" Go faster if he does this and read his cues.
Teaching basic arithmetic and quantity will take ten weeks total. This is what I call stage 1. Doman calls it step one and two (step 1 = quantity, step 2 = equations). Stage 2, (or for Doman, step 3) is problem-solving. Instead of showing all three cards for each equation you only show the answer. This makes math sessions much quicker and easier. For problem-solving, you show the baby three equations and then give him the opportunity to choose the answer to a third equation if he wishes to do so. An example of a typical session might go as follows:
12x2÷3=8
12x3÷2=18
12x4÷3=16
12x3÷4=? 9 or 10
You can get sample schedules for problem-solving on the link I provided above. You can also get a good idea of the whole program on the "schedule outline" download, also provided in the link.
I hope this all makes sense and will help you on the exciting and wonderful journey of teaching your baby math. I know it is not complete but, if you have any more questions feel free to ask.
Elizabeth
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