DOTS - SIMPLIFY(2)

For future easy reference, I thought I would write down in here all the steps from the book.


First Step
Quantity Recognition

Second Step
Equations

Third Step
Problem Solving

Fourth Step
Numeral Recognition

Fifth Step
Equations with numerals

DOTS - SIMPLIFY

1. Quantity recognition
a. dots 1-100, 0 last

2. Equations--3 sets per day (two weeks each) stat once 1-20 complete
a. add?2 step
b. Sub ?2 step
c. multi?2 step
d. div?2 step
e. 3 numbered, same equations (all add, all sub,...)
f. 3 numbered mixed equations (multi/div, add/sub)
g. 4 numbered mixed equations

3. Problem solving
a. sequences
Arithmetic: 2,4,6,8,10... 5,10,15,20,25,... 10,9,8,7,6....
Geometric: 1,2,4,16,32,64... 80,40,20,10,5 81,27,9,3,1
b. greater than/less than---using dot cards
c. equalities/inequalities
(used to teach math symbols) + - x ? = =
using dot cards, 3 per set same equations
2+4 n= 2+5 4+5=3+6 25+4 n=25+9

d. number personality (?)
Sets where all equations are based on one number?1, 12, 60, 64,
36, prime numbers, square numbers?4, 9, 16, 25, 36, triangle
numbers?3, 6, 10, 15, 21, 28, 36

e. fractions
use dots? ?one tenth of ten equals one?
1/10 of 10 = 1
1/3 of 3 = 3 1/3 of 6=9 1/3 of 9= 3

f. simple algebra
use dots and ?y? card
5+y =7 dot 5 + y = dot 7
what does y stand for??in this equation y stands for 2
Sets?12+y=24, 2+y=10, 60+y= 100........

4. Numeral Recognition
a. introduce standard numerals 1, 2, 3? (two sets of 5), add 3 new
per day, subtract 3 old per day
b. after 1-20 introduced use greater than/less than,
equalities/inequalities with dots to compare
12 > dot9 dot6 <> dot4 = 4

5. Equations with numbers

Equations--3 sets per day
(two weeks each) using numeral cards/strips not dots
a. add? 2 step
b. Sub ? 2 step
c. multi? 2 step
d. div? 2 step
e. 3 numbered, same equations
f. 3 numbered mixed equations (multi/div, add/sub)
g. 4 numbered mixed equations

Problem solving
a. sequences
Arithmetic: 2,4,6,8,10... 5,10,15,20,25,... 10,9,8,7,6....
Geometric: 1,2,4,16,32,64... 80,40,20,10,5 81,27,9,3,1
b. greater than/less than
c. equalities/inequalities
d. number personality
e. fractions--Fractions written with numbers
?one tenth of ten equals one?
1/10 of 10 = 1 1/3 of 3 = 1 1/3 of 6=2

f. simple algebra---- Written numerals and ?y? card
5+y =7
what does y stand for??in this equation y stands for 2

Sets? 12+y=24, 2+y=10, 60+y= 100........

DOTS METHOD - ADDITION

The Doman math program (How to Teach Your Baby Math) uses a very simple, straightforward way of teaching babies and toddlers the realities of numbers and equations. You simply show them the facts, and they discover the rules.

For teaching a toddler addition, this translates into gathering three cards and showing them: "One" (hold up a card with one dot on it) "plus two" (show the card with two dots on it) "equals three" (show the card with three dots on it).

No explanation, just show the facts. Since they can actually see the true number of dots, they understand what "plus" means because they can see what is happening. Therefore, tiny children who have been taught true quantity (see blogs under "Teach Your Child ... Math" to learn more) can learn what plus, minus, times, and divided by mean in the same way that they learn "mine" - which is, by seeing these words used in action.

DOTS METHOD (PART 1)

The program starts by teaching not numerals (1, 2, 3, or I, II, III) but rather quantity: showing a card with five red dots on it and saying, "This is FIVE!" You teach quantities up to 100, which takes about 10 weeks. Babies who have learned quantity can tell the difference between a card with 99 and 98 dots on it (or 99 and 98 people, pennies, cars, anything). It is absolutely amazing.

After a couple weeks of teaching quantity the baby can learn the meanings of addition, subtraction, multiplication, and division by being shown (with the quantity cards) these processes in action: ten plus three equals thirteen. And in turn, since they can actually SEE the number of dots, later on they can do any and all math instantly: ask any three-year-old who was trained on this program what fifteen times six plus twenty divided by ten equals, and without much thought or effort he can tell you in an instant: 11 of course! He can actually see the numbers (dots) being "manipulated" (added, subtracted, multiplied, and divided) and does not have to go through the pain-staking "put down the two and carry the seven" that we did when we first learned math.