Free Republic
Browse · Search
General/Chat
Topics · Post Article

Skip to comments.

Math Instruction Seems Skillfully Designed NOT To Work
Hubpages.com ^ | August 15, 2010 | Bruce Deitrick Price

Posted on 09/16/2010 6:44:01 PM PDT by BruceDeitrickPrice

For a few years I thought the worst possible gimmick in education was Whole Word, basically a device to make sure kids don't learn to read.

In the last few months, the clamor grew about Core Standards and National Standards, and I started to focus on arithmetic. More and more I’m struck by the parallel with Whole Word. The Education Establishment seems to specialize in coming up with techniques that are almost guaranteed not to work.

I know there are cynics who will say, well, of course, everyone knows this. Even so, the thing that fascinates me is the amount of skill and intelligence needed to create something that is not what it appears to be. I’m still stunned. Did people really go into a room and say: how do we teach math so that nobody learns math??? Well, it sure seems that way.

I think we can see the phenomenon best in New Math. Experts said it was the perfect way to teach math; but it was trashed only a few years later. The flaw was that easy arithmetic was mixed in with advanced concepts so that kids were too confused to learn even the basic stuff. Unfortunately, that central flaw was rolled forward into all the subsequent programs, for example, the many programs within Reform Math.

As so often happens in education, the public has to deal with this weird choice: are the people in charge hopelessly stupid or hopelessly subversive?

For a sense of how bad things are, here is a scary report from C. F. Navarro, PhD (on the excellent site Illinoisloop.org):

“At the George Washington Middle school where I taught eight-grade math in 1998, only a few of my math students were at grade level. The rest were at a fourth-grade level, or lower. Most had not yet learned their multiplication tables and were still counting with their fingers. By the end of the year some had progressed to about a fifth-grade level, a substantial improvement, but far short of the comprehension and skills required for algebra. Nonetheless, all were required to register for algebra the following year.

More troublesome still was my algebra class. The students in that class were all nice kids, mainly from middle-class families and, therefore, on the school's "talented and gifted," program. Yet, with few exceptions, they didn't know how to work with fractions, decimals or integers. They lacked the power of concentration to set up and solve multiple-step problems. They were incapable of manipulating symbols and reasoning in abstract terms. Like most of my general math students, some had not yet learned their multiplication tables and were still counting with their fingers.”

Could things really be that bad if the Education Establishment were sincerely trying to teach math? Hard to imagine.

So what is the answer? Many businesses and parents (with kids in public schools) have to consider tutoring (e.g., Saxon Math, Singapore Math, Math Mammoth, MathUSee). Next, the more I look at the National Standards and Core Standards, the more I hope that states will reject these federal proposals. If you’re curious, go to corestandards.org to read some of these bizarre so-called Standards.

One of the distinguishing traits in the newer Standards is a gimmick called spiraling. Children are moved quickly from topic to topic. Teachers introduce as much variety as possible. Just as a “thought experiment” I wondered, well, what would total simplicity look like?? I wrote a piece for hubpages called “Price’s Easy Arithmetic For First Graders.”

( http://hubpages.com/hub/PricesEasyArithmetic )

For a more studious look at the whole problem, see “53: One Thing We Know For Sure: The Education Establishment Hates Math” on Improve-Education.org.

( www.improve-education.org/id78.html )

------------------------------------------

For anyone curious about New Math, here's my review of a book published about 1964 to tell parents how to understand New Math. Funny in a grim way. See the one review of this book:

http://www.amazon.com/teachers-parents-elementary-school-children/dp/B0007DO4K2/ref=cm_cr-mr-title

. .


TOPICS: Business/Economy; Conspiracy; Education; History
KEYWORDS: arithmetic; arth; math; numbers; science
Navigation: use the links below to view more comments.
first 1-5051-85 next last

1 posted on 09/16/2010 6:44:03 PM PDT by BruceDeitrickPrice
[ Post Reply | Private Reply | View Replies]

To: BruceDeitrickPrice
One of the distinguishing traits in the newer Standards is a gimmick called spiraling. Children are moved quickly from topic to topic. Teachers introduce as much variety as possible. Just as a “thought experiment” I wondered, well, what would total simplicity look like?? I wrote a piece for hubpages called “Price’s Easy Arithmetic For First Graders.”

I had to use "spiraling" 8 ir 9 years ago, when teaching 7th and 8th graders. It was a mess. The topics moved about and if a kid was absent they couldn't find the work they missed because we weren't proceeding in a logical order.

My only successful class that year was the Honors class, which was taking 9th-year math over the 7th and 8th grades. I was told exactly which lesson plans to use and where to find them online. I modified them, of course, but they had a structure to the calendar of topics. (I taught elsewhere the following year.)

2 posted on 09/16/2010 6:53:32 PM PDT by Tanniker Smith (If you call a tail a leg, how many legs has a dog?Five?No, calling a tail a leg don't make it a leg.)
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice

If a train is going southbound from Chicago to Miami at 47 mph, and a yellow taxi with 15 illegal aliens is crossing the border in Texas at 22.7 mph (average), when’s Obama having lunch?


3 posted on 09/16/2010 6:58:08 PM PDT by irishtenor (Tag lines, they are not what they used to be...)
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice
Not exactly on topic, but I saw this story about math and thought I'd throw out this "challenge question" from my 6th graders algebra homework this evening. I have two college degrees and I can't figure it out.

A/B*C+D*E*F/G+H*I=100

Use 1-9 for A-I. Use each number only once, and use all nine to make the equation true.

4 posted on 09/16/2010 7:01:51 PM PDT by apillar
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice

Try this guy: http://www.khanacademy.org/


5 posted on 09/16/2010 7:04:25 PM PDT by sailor4321
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice

Teaching Math In 1950

A logger sells a truckload of lumber for $100. His cost of
production is 4/5 of the price. What is his profit?

Teaching Math In 1960

A logger sells a truckload of lumber for $100. His cost of
production is 4/5 of the price, or $80. What is his profit?

Teaching Math In 1970

A logger sells a truckload of lumber for $100. His cost of
production is $80. Did he make a profit?

Teaching Math In 1980

A logger sells a truckload of lumber for $100. His cost of
production is $80 and his profit is $20 Your assignment: Underline the
number 20.

Teaching Math In 1990

A logger cuts down a beautiful forest because he is selfish and
inconsiderate and cares nothing for the habitat of animals or the
preservation of our woodlands. He does this so he can make a profit of
$20. What do you think of this way of making a living? Topic for class
participation after answering the question: How did the birds and
squirrels feel as the logger cut down their homes? (There are no wrong
answers.)

Teaching Math In 2006

Un ranchero vende una carretera de maderapara $100. El cuesto de la
produccion era $80. Cuantos tortillas se puede comprar?


6 posted on 09/16/2010 7:07:55 PM PDT by dfwgator (Rangers Magic Number - 8)
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice

“Education: Promise and Paradox:

Two of the major issues in the international dialog on sustainability are population
and resource consumption. Increases in population and resource use are thought to jeopardize a sustainable future, and education is linked both to fertility rate and resource consumption. Educating females reduces fertility rates and therefore population growth. By reducing fertility rates and the threat of overpopulation a country also facilitates progress toward sustainability. The opposite is true for the relationship between education and resource use. Generally, more highly educated people, who have higher incomes, consume more resources than poorly educated people, who tend to have lower incomes. In this case, more education increases the threat to sustainability.”

http://unesdoc.unesco.org/images/0015/001524/152453eo.pdf


7 posted on 09/16/2010 7:07:57 PM PDT by wheresmyusa
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice

I cannot understand why it is so difficult to teach children to read. My three could read before they enrolled in first grade. I could have prevented this, of course, if I had kept books and alphabet related toys away from them. Failing that, their learning to read was inevitable, especially with their mother regularly reading books to them.


8 posted on 09/16/2010 7:11:53 PM PDT by Elsiejay (.)
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice
“At the George Washington Middle school where I taught eight-grade math in 1998, only a few of my math students were at grade level...

---------------------------------------

This country was subverted, pure and simple. It's a deliberate strategy that has been in progress for over 50 years. Once they brushed anti-communist Arizona Senator Barry Goldwater aside in '64, by a massive landslide [Due somewhat to a Democratic campaign advertisement known as 'Daisy'], the road was clear to conquer academia, the news media, the entertainment media, teachers and the unions. It isn't happenstance. It's no coincidence.

The Weekly Standard 05-18-2009
   Education

Our public schools are deeply entrenched with a socialist, progressive ideology.

9 posted on 09/16/2010 7:14:20 PM PDT by BobP (The piss-stream media - Never to be watched again in my house)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Elsiejay

Contrary to popular claims...not all glasses are equally full.


10 posted on 09/16/2010 7:15:33 PM PDT by bannie (Gone to seed.)
[ Post Reply | Private Reply | To 8 | View Replies]

To: AdmSmith; Arthur Wildfire! March; Berosus; bigheadfred; blueyon; Convert from ECUSA; dervish; ...
Thanks BruceDeitrickPrice. If they can't understand math, and can't read, they can't question global warming, redistribution/confiscation schemes, annihilation of liberty, etc.
For a few years I thought the worst possible gimmick in education was Whole Word, basically a device to make sure kids don't learn to read. In the last few months, the clamor grew about Core Standards and National Standards, and I started to focus on arithmetic. More and more I’m struck by the parallel with Whole Word. The Education Establishment seems to specialize in coming up with techniques that are almost guaranteed not to work.

11 posted on 09/16/2010 7:15:51 PM PDT by SunkenCiv (Democratic Underground... matters are worse, as their latest fund drive has come up short...)
[ Post Reply | Private Reply | To 1 | View Replies]

To: BobP

We need more conservative teachers. Sign up.


12 posted on 09/16/2010 7:17:23 PM PDT by bannie (Gone to seed.)
[ Post Reply | Private Reply | To 9 | View Replies]

To: BruceDeitrickPrice

BP

A similar situation exists in collage level math and physics books. These clunkers are updated every year to keep pace with the ever changing aspects of algebra, calculus, gravity and the like. They typically offer multiple pages of problems, supplementary problems and more problems, at the end of each chapter, but only the scantiest explanations and examples as to how to understand the mathmatical / physical connection so necessary for practical application. In most cases the only real hope is a really good Prof and a copy to the (restricted availability) teacher’s guide.
It’s all geared to revineu, which I guess is ok. But a lot of good young minds don’t realize it’s a stacked deck. They figure it’s their inability rather than defective texts. The kid can eithere drop or become lawyers… Bad system, getting more badder in the fullness of time.
R


13 posted on 09/16/2010 7:18:06 PM PDT by Rabin
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice
2=a number

1=a number

Therefore 2=1

14 posted on 09/16/2010 7:18:29 PM PDT by SkyDancer ("I Belive In The Law Until It Interferes With Justice - and I'm still Molly Norris")
[ Post Reply | Private Reply | To 1 | View Replies]

To: BruceDeitrickPrice

>One of the distinguishing traits in the newer Standards is a gimmick called spiraling.<

I didn’t realize there was actually a name for it. I have noticed, to my confusion, that year after year, they have a tendency to jump from one thing to another quicker than a honeybee lighting on flowers. I don’t believe they stay on one area long enough to really grasp it.

That’s not the way things were done back in the day.


15 posted on 09/16/2010 7:22:12 PM PDT by Califreak (A man is defined by the nature of his enemies-Preach it Rush!)
[ Post Reply | Private Reply | To 1 | View Replies]

To: dfwgator

Ja ja ja ja. (laughing in spanish)


16 posted on 09/16/2010 7:27:55 PM PDT by 1forall (America - my home, my land, my country.)
[ Post Reply | Private Reply | To 6 | View Replies]

To: irishtenor

“If a train is going southbound from Chicago to Miami at 47 mph, and a yellow taxi with 15 illegal aliens is crossing the border in Texas at 22.7 mph (average), when’s Obama having lunch?”

—After golf.


17 posted on 09/16/2010 7:30:54 PM PDT by MIDad23
[ Post Reply | Private Reply | To 3 | View Replies]

To: Tanniker Smith

That’s nothing. I invented SPIRALING.

In 1972 I stole the teachers manual.

We SPIRALED for two weeks.


18 posted on 09/16/2010 7:31:43 PM PDT by IMR 4350
[ Post Reply | Private Reply | To 2 | View Replies]

To: BruceDeitrickPrice

I’ve had my same tagline for several years. Don’t EVEN get me started. Afterschooling - saxon, singapore, and key curriculum are my favorites. The spiraling, group-work, reflective, reform math is garbage. I graduated from HS in 87 - good math student - no one ever suggested I become a teacher. I am an engineer (actually, only a Mom, right now). Guess who teaches? Non-math people. Guess who writes curricula and runs school systems into the ground.


19 posted on 09/16/2010 7:32:11 PM PDT by too much time (Were ANY educrats proficient at math in school?)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Califreak

This is in contrast to Mastery, where you don’t go on to the next topic until the first is mastered.


20 posted on 09/16/2010 7:34:13 PM PDT by Qout
[ Post Reply | Private Reply | To 15 | View Replies]

To: BruceDeitrickPrice

One more thing - here is my favorite video of all time - it explains the garbage that is “reform” math:

http://www.youtube.com/watch?v=Tr1qee-bTZI

She is concise and to the point.


21 posted on 09/16/2010 7:35:14 PM PDT by too much time (Were ANY educrats proficient at math in school?)
[ Post Reply | Private Reply | To 1 | View Replies]

To: MIDad23

A+


22 posted on 09/16/2010 7:38:31 PM PDT by irishtenor (Tag lines, they are not what they used to be...)
[ Post Reply | Private Reply | To 17 | View Replies]

To: Elsiejay; secret garden; Gabz; WhyisaTexasgirlinPA; xsmommy; tioga; Texan5; Slip18

My grandkids, age 2 years + 1 month - bring ME books to read every night before going to sleep when I babysit.

Making Dinosaurs growl, finding trees, counting plants, counting cars, finding balls, seeing birds fly, tracing triangles, ....

Makes fun night for the twins.


23 posted on 09/16/2010 7:45:39 PM PDT by Robert A. Cook, PE (I can only donate monthly, but socialists' ABBCNNBCBS continue to lie every day!)
[ Post Reply | Private Reply | To 8 | View Replies]

To: Rabin

So, Rabin,
What was your verdict? These textbooks were the result of stupidity or subversion?

I had never thought about this stuff at the college level because I assumed that professors would be highly motivated to find the best books. Thus driving bad books off the market. (At lower levels, bureaucrats pick books or the teachers might not be clever enough to evaluate a book’s inner workings. So we don’t expect the best.)

But you’re suggesting a most unpleasant picture. Bad books. And professors so bad they go along with the bad books. At the college level?? Say it ain’t so.


24 posted on 09/16/2010 7:50:35 PM PDT by BruceDeitrickPrice (education reform)
[ Post Reply | Private Reply | To 13 | View Replies]

To: too much time

In college, the first day of class one of my teachers showed us his old college calculator. He’d driven a 9” spike through it upon graduation because he hated math and figured he’d never use any.

Guess which subject he taught?


25 posted on 09/16/2010 8:16:36 PM PDT by Ellendra (I'll believe it's a crisis when the people who say it's a crisis, ACT like it's a crisis!)
[ Post Reply | Private Reply | To 19 | View Replies]

To: BruceDeitrickPrice
But you’re suggesting a most unpleasant picture. Bad books. And professors so bad they go along with the bad books. At the college level?? Say it ain’t so.

Worse, the professors sometimes get kickbacks from the sale of those bad books. If they didn't write them in the first place.
26 posted on 09/16/2010 8:18:47 PM PDT by Ellendra (I'll believe it's a crisis when the people who say it's a crisis, ACT like it's a crisis!)
[ Post Reply | Private Reply | To 24 | View Replies]

To: Robert A. Cook, PE

I hope you also do different voices for different characters. Isn’t it joyful being around the babies and watching them discover things that used to seem mundane?


27 posted on 09/16/2010 8:22:29 PM PDT by secret garden (Why procrastinate when you can perendinate?)
[ Post Reply | Private Reply | To 23 | View Replies]

To: apillar

9/3*8+4*5*7/2+6*1=100


28 posted on 09/16/2010 8:29:56 PM PDT by Buscador
[ Post Reply | Private Reply | To 4 | View Replies]

To: BruceDeitrickPrice
At the George Washington Middle school where I taught eight-grade math in 1998, only a few of my math students were at grade level. The rest were at a fourth-grade level, or lower. Most had not yet learned their multiplication tables and were still counting with their fingers.

Future members of Congress, no doubt.

29 posted on 09/16/2010 8:36:04 PM PDT by Moonman62 (Half of all Americans are above average.)
[ Post Reply | Private Reply | To 1 | View Replies]

To: SunkenCiv

Hubby was desperately seeking engineers with the ability to actually engineer. They’ve become sparse. After months, he has finally hired two who had proper educations.

The real danger to the country is the destruction, for the past three generations, of the public education system. It is pumping out ignorant fools who hate their own country and have tons of self esteem and little else to offer an employer.

This whole-country, metastatic cancer must be slashed and burned.


30 posted on 09/17/2010 4:54:13 AM PDT by TheOldLady (Pablo is very wily.)
[ Post Reply | Private Reply | To 11 | View Replies]

To: BruceDeitrickPrice
Most had not yet learned their multiplication tables and were still counting with their fingers.

When I was that age I was a whiz at multiplication tables.

Unfortunately I'm now at an age where I'm forced to count with my fingers again.........

31 posted on 09/17/2010 5:03:47 AM PDT by Hot Tabasco (There's only one cure for Obamarrhea......)
[ Post Reply | Private Reply | To 1 | View Replies]

To: Hot Tabasco

I always enjoyed multiplication contests back in grade school (about 1970). We had a circle surrounded by spokes with 1 to 12 in between the spokes and about 6 wheels to the page. The teacher would tell us what numbers to put into the circles and then we would multiply that number by 1 to 12 around the wheel. We would go as fast as we could and raise our hand when we were done. For a long time I was always second finished but eventually I got faster than that darn Patrick Casey and I would win. It was very competitive. Catholic school.


32 posted on 09/17/2010 5:44:01 AM PDT by RadiationRomeo (Step into my mind and glimpse the madness that is me)
[ Post Reply | Private Reply | To 31 | View Replies]

To: Ellendra

My daughter’s gifted math teacher looked me in the eye and said “I’ve never really liked math.” I was asking if she could make some worksheets with more problems on it -since the ridiculous spiraling curriculum would have one fractions problem, one division problem, etc - and after you taught the kid how to do the one fractions problem, there were no more problems of that type to practice - which resulted in NO mastery. Before she told me she did not like math she explained that she could not make worksheets because it would “eat into her copy budget.” She retired the next year.


33 posted on 09/17/2010 6:47:17 AM PDT by too much time (Were ANY educrats proficient at math in school?)
[ Post Reply | Private Reply | To 25 | View Replies]

To: 1forall
Ja ja ja ja. (laughing in spanish)

On enthusiastic agreement in German ...

34 posted on 09/17/2010 6:52:23 AM PDT by ArrogantBustard (Western Civilization is Aborting, Buggering, and Contracepting itself out of existence.)
[ Post Reply | Private Reply | To 16 | View Replies]

To: apillar
Use 1-9 for A-I. Use each number only once, and use all nine to make the equation true.
A/B*C+D*E*F/G+H*I=100

First, let’s group by evaluation order:
(A/B*C) + (D*E*F/G) + (H*I) = 100

Now let’s introduce some temporary variables:
X = (A/B*C)
Y = (D*E*F/G)
Z = (H*I)

So we get:
X + Y + Z = 100

We need to isolate a variable, so we rearrange:
X = 100 - (Y + Z)

Next, we are supposed to use the numbers 1 through 9 to make this true:
So Sum(A..I) = Sum(1..9) = 1+2+3+4+5+6+7+8+9 = (1+9) + (2+8) + (3+7) + (4+6) + 5
This reduces to 4(10)+5 or 45.

So because A + B + C + D + E + F + H + I = 45 we can say that for any particular letter s the following is true:
s = 45 - Sum({A..I}-s) where s is some letter A..I and {A..I}-s is the set A..I excluding itself.

Let’s take A. A = 45 - (B + C + D + E + F + H + I)
also
A = (X/C)*B

Using substitution on the second Equation we get:
A = [100 - (Y + Z)]/C*B
So
[100 - ( Y + Z )]/C*B = 45 - (B + C + D + E + F + H + I) = 45 - Sum(B..I)
[100 - ( Y + Z )]/C = [45 - Sum(B..I)]/B
100 - ( Y + Z ) = C*[45 - Sum(B..I)]/B
-Y -Z = C*[45 - Sum(B..I)]/B - 100
-Z = (C*[45 - Sum(B..I)]/B - 100)+Y
Z=-(C*[45 - Sum(B..I)]/B - 100)-Y
So, by substitutions
H*I =-(C*[45 - Sum(B..I)]/B - 100)-(D*E*F/G)
H={-(C*[45 - Sum(B..I)]/B - 100)-(D*E*F/G)}/I

Note now that this H has no A in it’s equality so we can substitute it out of one of the A equations:
A = 45 - (B + C + D + E + F + {-(C*[45 - Sum(B..I)]/B - 100)-(D*E*F/G)}/I + I)
And we continue with such variable-elimination until we get things down to manageable terms and then back substitute.


Or we could do it programmatically, here’s an algorithm [in Ada] to solve the equation:

With Ada.Text_IO;
Use Ada.Text_IO;

 
Procedure Solve_It is
-- Brute-force method

 
SubType Digit_Type is Positive range 1..9;
SubType Variable_Type is Character range 'A'..'I';
   -- This type defines an array to some variable with some value.
   Type Association_Type is Array(Variable_Type) of Digit_Type;
   Procedure Display( Association : in Association_Type) is
      Tab : Constant Character:= Character'Val(9);
   begin
      For Index in Association'Range loop
         Put( Digit_Type'Image(Association(Index)) & Tab );
      end loop;
      Put_Line( "" );
   end Display;

   --This type allows us to have dynamic arrays
   Type Association_Access is Access Association_Type;
     
   -- This type defines an set of booleans to tell what has been used.
   Type Set_Type is Array(Digit_Type) of Boolean;
   Function Full( Set : Set_Type ) Return Boolean is
   begin
      Return Result: Boolean:= True do
         For Index in Set'Range Loop          -- Loop through the set and find
            Result:= Result AND Set(Index);     -- if any values are true, if so
         end loop;
      end return;
   end Full;
   

   
   Function Problem( State : Access Association_Type ) return Boolean is
      -- Rename the variables for clarity.
      A : Digit_Type:= State.All('A');
      B : Digit_Type:= State.All('B');
      C : Digit_Type:= State.All('C');
      D : Digit_Type:= State.All('D');
      E : Digit_Type:= State.All('E');
      F : Digit_Type:= State.All('F');
      G : Digit_Type:= State.All('G');
      H : Digit_Type:= State.All('H');
      I : Digit_Type:= State.All('I');
   begin
      -- Se if the equation is satisfied
      Return 100 = A/B*C+D*E*F/G+H*I;
   end Problem;
   

   
begin
   For Index in Variable_Type'Range loop
      Put( Character'Image(Index) & Character'Val(9) );
   end loop;
   Put_Line( "" );
   

   For Index_A in Digit_Type'Range loop
      For Index_B in Digit_Type'Range loop
         For Index_C in Digit_Type'Range loop
            For Index_D in Digit_Type'Range loop
               For Index_E in Digit_Type'Range loop
                  For Index_F in Digit_Type'Range loop
                     For Index_G in Digit_Type'Range loop
                        For Index_H in Digit_Type'Range loop
                           For Index_I in Digit_Type'Range loop

     Declare
        State : Aliased Association_Type:=
          Association_Type'(
                'A' => INDEX_A, 'B' => INDEX_B, 'C' => INDEX_C, 'D' => INDEX_D,                                         
                'E' => INDEX_E, 'F' => INDEX_F, 'G' => INDEX_G, 'H' => INDEX_H,
                'I' => INDEX_I
          );   
        Fixed : Set_Type:= (Others => False);
                         
     Begin
        For Index in State'Range loop
          Fixed( State(Index) ):= True;
        end loop;
        if Full(Fixed) and then Problem(State'Access) then
          Display( State );
        end if;   
     End;
                           end loop;
                        end loop;
                     end loop;
                  end loop;
               end loop;
            end loop;
         end loop;
      end loop;
   end loop;
   
      
end Solve_It;


The output is:
'A'	'B'	'C'	'D'	'E'	'F'	'G'	'H'	'I'	
 1	 2	 8	 4	 5	 7	 3	 6	 9	
 1	 2	 8	 4	 5	 7	 3	 9	 6	
 1	 2	 8	 4	 7	 5	 3	 6	 9	
 1	 2	 8	 4	 7	 5	 3	 9	 6	
 1	 2	 8	 5	 4	 7	 3	 6	 9	
 1	 2	 8	 5	 4	 7	 3	 9	 6	
 1	 2	 8	 5	 7	 4	 3	 6	 9	
 1	 2	 8	 5	 7	 4	 3	 9	 6	
 1	 2	 8	 7	 4	 5	 3	 6	 9	
 1	 2	 8	 7	 4	 5	 3	 9	 6	
 1	 2	 8	 7	 5	 4	 3	 6	 9	
 1	 2	 8	 7	 5	 4	 3	 9	 6	
 1	 3	 4	 6	 8	 9	 5	 2	 7	
 1	 3	 4	 6	 8	 9	 5	 7	 2	
 1	 3	 4	 6	 9	 8	 5	 2	 7	
 1	 3	 4	 6	 9	 8	 5	 7	 2	
 1	 3	 4	 8	 6	 9	 5	 2	 7	
 1	 3	 4	 8	 6	 9	 5	 7	 2	
 1	 3	 4	 8	 9	 6	 5	 2	 7	
 1	 3	 4	 8	 9	 6	 5	 7	 2	
 1	 3	 4	 9	 6	 8	 5	 2	 7	
 1	 3	 4	 9	 6	 8	 5	 7	 2	
 1	 3	 4	 9	 8	 6	 5	 2	 7	
 1	 3	 4	 9	 8	 6	 5	 7	 2	
 1	 4	 3	 6	 8	 9	 5	 2	 7	
 1	 4	 3	 6	 8	 9	 5	 7	 2	
 1	 4	 3	 6	 9	 8	 5	 2	 7	
 1	 4	 3	 6	 9	 8	 5	 7	 2	
 1	 4	 3	 8	 6	 9	 5	 2	 7	
 1	 4	 3	 8	 6	 9	 5	 7	 2	
 1	 4	 3	 8	 9	 6	 5	 2	 7	
 1	 4	 3	 8	 9	 6	 5	 7	 2	
 1	 4	 3	 9	 6	 8	 5	 2	 7	
 1	 4	 3	 9	 6	 8	 5	 7	 2	
 1	 4	 3	 9	 8	 6	 5	 2	 7	
 1	 4	 3	 9	 8	 6	 5	 7	 2	
 1	 4	 5	 2	 6	 7	 3	 8	 9	
 1	 4	 5	 2	 6	 7	 3	 9	 8	
 1	 4	 5	 2	 7	 6	 3	 8	 9	
 1	 4	 5	 2	 7	 6	 3	 9	 8	
 1	 4	 5	 6	 2	 7	 3	 8	 9	
 1	 4	 5	 6	 2	 7	 3	 9	 8	
 1	 4	 5	 6	 7	 2	 3	 8	 9	
 1	 4	 5	 6	 7	 2	 3	 9	 8	
 1	 4	 5	 7	 2	 6	 3	 8	 9	
 1	 4	 5	 7	 2	 6	 3	 9	 8	
 1	 4	 5	 7	 6	 2	 3	 8	 9	
 1	 4	 5	 7	 6	 2	 3	 9	 8	
 1	 4	 9	 3	 5	 7	 2	 6	 8	
 1	 4	 9	 3	 5	 7	 2	 8	 6	
 1	 4	 9	 3	 7	 5	 2	 6	 8	
 1	 4	 9	 3	 7	 5	 2	 8	 6	
 1	 4	 9	 5	 3	 7	 2	 6	 8	
 1	 4	 9	 5	 3	 7	 2	 8	 6	
 1	 4	 9	 5	 7	 3	 2	 6	 8	
 1	 4	 9	 5	 7	 3	 2	 8	 6	
 1	 4	 9	 7	 3	 5	 2	 6	 8	
 1	 4	 9	 7	 3	 5	 2	 8	 6	
 1	 4	 9	 7	 5	 3	 2	 6	 8	
 1	 4	 9	 7	 5	 3	 2	 8	 6	
 1	 5	 4	 2	 6	 7	 3	 8	 9	
 1	 5	 4	 2	 6	 7	 3	 9	 8	
 1	 5	 4	 2	 7	 6	 3	 8	 9	
 1	 5	 4	 2	 7	 6	 3	 9	 8	
 1	 5	 4	 6	 2	 7	 3	 8	 9	
 1	 5	 4	 6	 2	 7	 3	 9	 8	
 1	 5	 4	 6	 7	 2	 3	 8	 9	
 1	 5	 4	 6	 7	 2	 3	 9	 8	
 1	 5	 4	 7	 2	 6	 3	 8	 9	
 1	 5	 4	 7	 2	 6	 3	 9	 8	
 1	 5	 4	 7	 6	 2	 3	 8	 9	
 1	 5	 4	 7	 6	 2	 3	 9	 8	
 1	 5	 6	 4	 7	 9	 3	 2	 8	
 1	 5	 6	 4	 7	 9	 3	 8	 2	
 1	 5	 6	 4	 9	 7	 3	 2	 8	
 1	 5	 6	 4	 9	 7	 3	 8	 2	
 1	 5	 6	 7	 4	 9	 3	 2	 8	
 1	 5	 6	 7	 4	 9	 3	 8	 2	
 1	 5	 6	 7	 9	 4	 3	 2	 8	
 1	 5	 6	 7	 9	 4	 3	 8	 2	
 1	 5	 6	 9	 4	 7	 3	 2	 8	
 1	 5	 6	 9	 4	 7	 3	 8	 2	
 1	 5	 6	 9	 7	 4	 3	 2	 8	
 1	 5	 6	 9	 7	 4	 3	 8	 2	
 1	 5	 8	 6	 7	 9	 4	 2	 3	
 1	 5	 8	 6	 7	 9	 4	 3	 2	
 1	 5	 8	 6	 9	 7	 4	 2	 3	
 1	 5	 8	 6	 9	 7	 4	 3	 2	
 1	 5	 8	 7	 6	 9	 4	 2	 3	
 1	 5	 8	 7	 6	 9	 4	 3	 2	
 1	 5	 8	 7	 9	 6	 4	 2	 3	
 1	 5	 8	 7	 9	 6	 4	 3	 2	
 1	 5	 8	 9	 6	 7	 4	 2	 3	
 1	 5	 8	 9	 6	 7	 4	 3	 2	
 1	 5	 8	 9	 7	 6	 4	 2	 3	
 1	 5	 8	 9	 7	 6	 4	 3	 2	
 1	 5	 9	 3	 6	 8	 2	 4	 7	
 1	 5	 9	 3	 6	 8	 2	 7	 4	
 1	 5	 9	 3	 8	 6	 2	 4	 7	
 1	 5	 9	 3	 8	 6	 2	 7	 4	
 1	 5	 9	 6	 3	 8	 2	 4	 7	
 1	 5	 9	 6	 3	 8	 2	 7	 4	
 1	 5	 9	 6	 8	 3	 2	 4	 7	
 1	 5	 9	 6	 8	 3	 2	 7	 4	
 1	 5	 9	 8	 3	 6	 2	 4	 7	
 1	 5	 9	 8	 3	 6	 2	 7	 4	
 1	 5	 9	 8	 6	 3	 2	 4	 7	
 1	 5	 9	 8	 6	 3	 2	 7	 4	
 1	 6	 5	 4	 7	 9	 3	 2	 8	
 1	 6	 5	 4	 7	 9	 3	 8	 2	
 1	 6	 5	 4	 9	 7	 3	 2	 8	
 1	 6	 5	 4	 9	 7	 3	 8	 2	
 1	 6	 5	 7	 4	 9	 3	 2	 8	
 1	 6	 5	 7	 4	 9	 3	 8	 2	
 1	 6	 5	 7	 9	 4	 3	 2	 8	
 1	 6	 5	 7	 9	 4	 3	 8	 2	
 1	 6	 5	 9	 4	 7	 3	 2	 8	
 1	 6	 5	 9	 4	 7	 3	 8	 2	
 1	 6	 5	 9	 7	 4	 3	 2	 8	
 1	 6	 5	 9	 7	 4	 3	 8	 2	
 1	 8	 2	 4	 5	 7	 3	 6	 9	
 1	 8	 2	 4	 5	 7	 3	 9	 6	
 1	 8	 2	 4	 7	 5	 3	 6	 9	
 1	 8	 2	 4	 7	 5	 3	 9	 6	
 1	 8	 2	 5	 4	 7	 3	 6	 9	
 1	 8	 2	 5	 4	 7	 3	 9	 6	
 1	 8	 2	 5	 7	 4	 3	 6	 9	
 1	 8	 2	 5	 7	 4	 3	 9	 6	
 1	 8	 2	 7	 4	 5	 3	 6	 9	
 1	 8	 2	 7	 4	 5	 3	 9	 6	
 1	 8	 2	 7	 5	 4	 3	 6	 9	
 1	 8	 2	 7	 5	 4	 3	 9	 6	
 1	 8	 5	 6	 7	 9	 4	 2	 3	
 1	 8	 5	 6	 7	 9	 4	 3	 2	
 1	 8	 5	 6	 9	 7	 4	 2	 3	
 1	 8	 5	 6	 9	 7	 4	 3	 2	
 1	 8	 5	 7	 6	 9	 4	 2	 3	
 1	 8	 5	 7	 6	 9	 4	 3	 2	
 1	 8	 5	 7	 9	 6	 4	 2	 3	
 1	 8	 5	 7	 9	 6	 4	 3	 2	
 1	 8	 5	 9	 6	 7	 4	 2	 3	
 1	 8	 5	 9	 6	 7	 4	 3	 2	
 1	 8	 5	 9	 7	 6	 4	 2	 3	
 1	 8	 5	 9	 7	 6	 4	 3	 2	
 1	 9	 4	 3	 5	 7	 2	 6	 8	
 1	 9	 4	 3	 5	 7	 2	 8	 6	
 1	 9	 4	 3	 7	 5	 2	 6	 8	
 1	 9	 4	 3	 7	 5	 2	 8	 6	
 1	 9	 4	 5	 3	 7	 2	 6	 8	
 1	 9	 4	 5	 3	 7	 2	 8	 6	
 1	 9	 4	 5	 7	 3	 2	 6	 8	
 1	 9	 4	 5	 7	 3	 2	 8	 6	
 1	 9	 4	 7	 3	 5	 2	 6	 8	
 1	 9	 4	 7	 3	 5	 2	 8	 6	
 1	 9	 4	 7	 5	 3	 2	 6	 8	
 1	 9	 4	 7	 5	 3	 2	 8	 6	
 1	 9	 5	 3	 6	 8	 2	 4	 7	
 1	 9	 5	 3	 6	 8	 2	 7	 4	
 1	 9	 5	 3	 8	 6	 2	 4	 7	
 1	 9	 5	 3	 8	 6	 2	 7	 4	
 1	 9	 5	 6	 3	 8	 2	 4	 7	
 1	 9	 5	 6	 3	 8	 2	 7	 4	
 1	 9	 5	 6	 8	 3	 2	 4	 7	
 1	 9	 5	 6	 8	 3	 2	 7	 4	
 1	 9	 5	 8	 3	 6	 2	 4	 7	
 1	 9	 5	 8	 3	 6	 2	 7	 4	
 1	 9	 5	 8	 6	 3	 2	 4	 7	
 1	 9	 5	 8	 6	 3	 2	 7	 4	
 2	 1	 6	 3	 4	 7	 5	 8	 9	
 2	 1	 6	 3	 4	 7	 5	 9	 8	
 2	 1	 6	 3	 7	 4	 5	 8	 9	
 2	 1	 6	 3	 7	 4	 5	 9	 8	
 2	 1	 6	 4	 3	 7	 5	 8	 9	
 2	 1	 6	 4	 3	 7	 5	 9	 8	
 2	 1	 6	 4	 7	 3	 5	 8	 9	
 2	 1	 6	 4	 7	 3	 5	 9	 8	
 2	 1	 6	 7	 3	 4	 5	 8	 9	
 2	 1	 6	 7	 3	 4	 5	 9	 8	
 2	 1	 6	 7	 4	 3	 5	 8	 9	
 2	 1	 6	 7	 4	 3	 5	 9	 8	
 2	 1	 7	 3	 4	 6	 5	 8	 9	
 2	 1	 7	 3	 4	 6	 5	 9	 8	
 2	 1	 7	 3	 6	 4	 5	 8	 9	
 2	 1	 7	 3	 6	 4	 5	 9	 8	
 2	 1	 7	 4	 3	 6	 5	 8	 9	
 2	 1	 7	 4	 3	 6	 5	 9	 8	
 2	 1	 7	 4	 6	 3	 5	 8	 9	
 2	 1	 7	 4	 6	 3	 5	 9	 8	
 2	 1	 7	 6	 3	 4	 5	 8	 9	
 2	 1	 7	 6	 3	 4	 5	 9	 8	
 2	 1	 7	 6	 4	 3	 5	 8	 9	
 2	 1	 7	 6	 4	 3	 5	 9	 8	
 2	 8	 1	 4	 5	 7	 3	 6	 9	
 2	 8	 1	 4	 5	 7	 3	 9	 6	
 2	 8	 1	 4	 7	 5	 3	 6	 9	
 2	 8	 1	 4	 7	 5	 3	 9	 6	
 2	 8	 1	 5	 4	 7	 3	 6	 9	
 2	 8	 1	 5	 4	 7	 3	 9	 6	
 2	 8	 1	 5	 7	 4	 3	 6	 9	
 2	 8	 1	 5	 7	 4	 3	 9	 6	
 2	 8	 1	 7	 4	 5	 3	 6	 9	
 2	 8	 1	 7	 4	 5	 3	 9	 6	
 2	 8	 1	 7	 5	 4	 3	 6	 9	
 2	 8	 1	 7	 5	 4	 3	 9	 6	
 3	 1	 4	 2	 6	 7	 5	 8	 9	
 3	 1	 4	 2	 6	 7	 5	 9	 8	
 3	 1	 4	 2	 7	 6	 5	 8	 9	
 3	 1	 4	 2	 7	 6	 5	 9	 8	
 3	 1	 4	 6	 2	 7	 5	 8	 9	
 3	 1	 4	 6	 2	 7	 5	 9	 8	
 3	 1	 4	 6	 7	 2	 5	 8	 9	
 3	 1	 4	 6	 7	 2	 5	 9	 8	
 3	 1	 4	 7	 2	 6	 5	 8	 9	
 3	 1	 4	 7	 2	 6	 5	 9	 8	
 3	 1	 4	 7	 6	 2	 5	 8	 9	
 3	 1	 4	 7	 6	 2	 5	 9	 8	
 3	 2	 1	 4	 6	 9	 5	 7	 8	
 3	 2	 1	 4	 6	 9	 5	 8	 7	
 3	 2	 1	 4	 8	 9	 5	 6	 7	
 3	 2	 1	 4	 8	 9	 5	 7	 6	
 3	 2	 1	 4	 9	 6	 5	 7	 8	
 3	 2	 1	 4	 9	 6	 5	 8	 7	
 3	 2	 1	 4	 9	 8	 5	 6	 7	
 3	 2	 1	 4	 9	 8	 5	 7	 6	
 3	 2	 1	 6	 4	 9	 5	 7	 8	
 3	 2	 1	 6	 4	 9	 5	 8	 7	
 3	 2	 1	 6	 9	 4	 5	 7	 8	
 3	 2	 1	 6	 9	 4	 5	 8	 7	
 3	 2	 1	 8	 4	 9	 5	 6	 7	
 3	 2	 1	 8	 4	 9	 5	 7	 6	
 3	 2	 1	 8	 9	 4	 5	 6	 7	
 3	 2	 1	 8	 9	 4	 5	 7	 6	
 3	 2	 1	 9	 4	 6	 5	 7	 8	
 3	 2	 1	 9	 4	 6	 5	 8	 7	
 3	 2	 1	 9	 4	 8	 5	 6	 7	
 3	 2	 1	 9	 4	 8	 5	 7	 6	
 3	 2	 1	 9	 6	 4	 5	 7	 8	
 3	 2	 1	 9	 6	 4	 5	 8	 7	
 3	 2	 1	 9	 8	 4	 5	 6	 7	
 3	 2	 1	 9	 8	 4	 5	 7	 6	
 3	 4	 1	 6	 8	 9	 5	 2	 7	
 3	 4	 1	 6	 8	 9	 5	 7	 2	
 3	 4	 1	 6	 9	 8	 5	 2	 7	
 3	 4	 1	 6	 9	 8	 5	 7	 2	
 3	 4	 1	 8	 6	 9	 5	 2	 7	
 3	 4	 1	 8	 6	 9	 5	 7	 2	
 3	 4	 1	 8	 9	 6	 5	 2	 7	
 3	 4	 1	 8	 9	 6	 5	 7	 2	
 3	 4	 1	 9	 6	 8	 5	 2	 7	
 3	 4	 1	 9	 6	 8	 5	 7	 2	
 3	 4	 1	 9	 8	 6	 5	 2	 7	
 3	 4	 1	 9	 8	 6	 5	 7	 2	
 4	 1	 3	 2	 6	 7	 5	 8	 9	
 4	 1	 3	 2	 6	 7	 5	 9	 8	
 4	 1	 3	 2	 7	 6	 5	 8	 9	
 4	 1	 3	 2	 7	 6	 5	 9	 8	
 4	 1	 3	 6	 2	 7	 5	 8	 9	
 4	 1	 3	 6	 2	 7	 5	 9	 8	
 4	 1	 3	 6	 7	 2	 5	 8	 9	
 4	 1	 3	 6	 7	 2	 5	 9	 8	
 4	 1	 3	 7	 2	 6	 5	 8	 9	
 4	 1	 3	 7	 2	 6	 5	 9	 8	
 4	 1	 3	 7	 6	 2	 5	 8	 9	
 4	 1	 3	 7	 6	 2	 5	 9	 8	
 4	 1	 6	 2	 3	 5	 7	 8	 9	
 4	 1	 6	 2	 3	 5	 7	 9	 8	
 4	 1	 6	 2	 5	 3	 7	 8	 9	
 4	 1	 6	 2	 5	 3	 7	 9	 8	
 4	 1	 6	 3	 2	 5	 7	 8	 9	
 4	 1	 6	 3	 2	 5	 7	 9	 8	
 4	 1	 6	 3	 5	 2	 7	 8	 9	
 4	 1	 6	 3	 5	 2	 7	 9	 8	
 4	 1	 6	 5	 2	 3	 7	 8	 9	
 4	 1	 6	 5	 2	 3	 7	 9	 8	
 4	 1	 6	 5	 3	 2	 7	 8	 9	
 4	 1	 6	 5	 3	 2	 7	 9	 8	
 4	 1	 8	 2	 3	 5	 6	 7	 9	
 4	 1	 8	 2	 3	 5	 6	 9	 7	
 4	 1	 8	 2	 5	 3	 6	 7	 9	
 4	 1	 8	 2	 5	 3	 6	 9	 7	
 4	 1	 8	 3	 2	 5	 6	 7	 9	
 4	 1	 8	 3	 2	 5	 6	 9	 7	
 4	 1	 8	 3	 5	 2	 6	 7	 9	
 4	 1	 8	 3	 5	 2	 6	 9	 7	
 4	 1	 8	 5	 2	 3	 6	 7	 9	
 4	 1	 8	 5	 2	 3	 6	 9	 7	
 4	 1	 8	 5	 3	 2	 6	 7	 9	
 4	 1	 8	 5	 3	 2	 6	 9	 7	
 4	 5	 1	 2	 6	 7	 3	 8	 9	
 4	 5	 1	 2	 6	 7	 3	 9	 8	
 4	 5	 1	 2	 7	 6	 3	 8	 9	
 4	 5	 1	 2	 7	 6	 3	 9	 8	
 4	 5	 1	 6	 2	 7	 3	 8	 9	
 4	 5	 1	 6	 2	 7	 3	 9	 8	
 4	 5	 1	 6	 7	 2	 3	 8	 9	
 4	 5	 1	 6	 7	 2	 3	 9	 8	
 4	 5	 1	 7	 2	 6	 3	 8	 9	
 4	 5	 1	 7	 2	 6	 3	 9	 8	
 4	 5	 1	 7	 6	 2	 3	 8	 9	
 4	 5	 1	 7	 6	 2	 3	 9	 8	
 4	 5	 8	 3	 7	 9	 2	 1	 6	
 4	 5	 8	 3	 7	 9	 2	 6	 1	
 4	 5	 8	 3	 9	 7	 2	 1	 6	
 4	 5	 8	 3	 9	 7	 2	 6	 1	
 4	 5	 8	 7	 3	 9	 2	 1	 6	
 4	 5	 8	 7	 3	 9	 2	 6	 1	
 4	 5	 8	 7	 9	 3	 2	 1	 6	
 4	 5	 8	 7	 9	 3	 2	 6	 1	
 4	 5	 8	 9	 3	 7	 2	 1	 6	
 4	 5	 8	 9	 3	 7	 2	 6	 1	
 4	 5	 8	 9	 7	 3	 2	 1	 6	
 4	 5	 8	 9	 7	 3	 2	 6	 1	
 4	 8	 5	 3	 7	 9	 2	 1	 6	
 4	 8	 5	 3	 7	 9	 2	 6	 1	
 4	 8	 5	 3	 9	 7	 2	 1	 6	
 4	 8	 5	 3	 9	 7	 2	 6	 1	
 4	 8	 5	 7	 3	 9	 2	 1	 6	
 4	 8	 5	 7	 3	 9	 2	 6	 1	
 4	 8	 5	 7	 9	 3	 2	 1	 6	
 4	 8	 5	 7	 9	 3	 2	 6	 1	
 4	 8	 5	 9	 3	 7	 2	 1	 6	
 4	 8	 5	 9	 3	 7	 2	 6	 1	
 4	 8	 5	 9	 7	 3	 2	 1	 6	
 4	 8	 5	 9	 7	 3	 2	 6	 1	
 4	 9	 1	 3	 5	 7	 2	 6	 8	
 4	 9	 1	 3	 5	 7	 2	 8	 6	
 4	 9	 1	 3	 7	 5	 2	 6	 8	
 4	 9	 1	 3	 7	 5	 2	 8	 6	
 4	 9	 1	 5	 3	 7	 2	 6	 8	
 4	 9	 1	 5	 3	 7	 2	 8	 6	
 4	 9	 1	 5	 7	 3	 2	 6	 8	
 4	 9	 1	 5	 7	 3	 2	 8	 6	
 4	 9	 1	 7	 3	 5	 2	 6	 8	
 4	 9	 1	 7	 3	 5	 2	 8	 6	
 4	 9	 1	 7	 5	 3	 2	 6	 8	
 4	 9	 1	 7	 5	 3	 2	 8	 6	
 5	 6	 1	 4	 7	 9	 3	 2	 8	
 5	 6	 1	 4	 7	 9	 3	 8	 2	
 5	 6	 1	 4	 9	 7	 3	 2	 8	
 5	 6	 1	 4	 9	 7	 3	 8	 2	
 5	 6	 1	 7	 4	 9	 3	 2	 8	
 5	 6	 1	 7	 4	 9	 3	 8	 2	
 5	 6	 1	 7	 9	 4	 3	 2	 8	
 5	 6	 1	 7	 9	 4	 3	 8	 2	
 5	 6	 1	 9	 4	 7	 3	 2	 8	
 5	 6	 1	 9	 4	 7	 3	 8	 2	
 5	 6	 1	 9	 7	 4	 3	 2	 8	
 5	 6	 1	 9	 7	 4	 3	 8	 2	
 5	 6	 9	 3	 4	 7	 1	 2	 8	
 5	 6	 9	 3	 4	 7	 1	 8	 2	
 5	 6	 9	 3	 7	 4	 1	 2	 8	
 5	 6	 9	 3	 7	 4	 1	 8	 2	
 5	 6	 9	 4	 3	 7	 1	 2	 8	
 5	 6	 9	 4	 3	 7	 1	 8	 2	
 5	 6	 9	 4	 7	 3	 1	 2	 8	
 5	 6	 9	 4	 7	 3	 1	 8	 2	
 5	 6	 9	 7	 3	 4	 1	 2	 8	
 5	 6	 9	 7	 3	 4	 1	 8	 2	
 5	 6	 9	 7	 4	 3	 1	 2	 8	
 5	 6	 9	 7	 4	 3	 1	 8	 2	
 5	 8	 1	 6	 7	 9	 4	 2	 3	
 5	 8	 1	 6	 7	 9	 4	 3	 2	
 5	 8	 1	 6	 9	 7	 4	 2	 3	
 5	 8	 1	 6	 9	 7	 4	 3	 2	
 5	 8	 1	 7	 6	 9	 4	 2	 3	
 5	 8	 1	 7	 6	 9	 4	 3	 2	
 5	 8	 1	 7	 9	 6	 4	 2	 3	
 5	 8	 1	 7	 9	 6	 4	 3	 2	
 5	 8	 1	 9	 6	 7	 4	 2	 3	
 5	 8	 1	 9	 6	 7	 4	 3	 2	
 5	 8	 1	 9	 7	 6	 4	 2	 3	
 5	 8	 1	 9	 7	 6	 4	 3	 2	
 5	 8	 4	 3	 7	 9	 2	 1	 6	
 5	 8	 4	 3	 7	 9	 2	 6	 1	
 5	 8	 4	 3	 9	 7	 2	 1	 6	
 5	 8	 4	 3	 9	 7	 2	 6	 1	
 5	 8	 4	 7	 3	 9	 2	 1	 6	
 5	 8	 4	 7	 3	 9	 2	 6	 1	
 5	 8	 4	 7	 9	 3	 2	 1	 6	
 5	 8	 4	 7	 9	 3	 2	 6	 1	
 5	 8	 4	 9	 3	 7	 2	 1	 6	
 5	 8	 4	 9	 3	 7	 2	 6	 1	
 5	 8	 4	 9	 7	 3	 2	 1	 6	
 5	 8	 4	 9	 7	 3	 2	 6	 1	
 5	 9	 1	 3	 6	 8	 2	 4	 7	
 5	 9	 1	 3	 6	 8	 2	 7	 4	
 5	 9	 1	 3	 8	 6	 2	 4	 7	
 5	 9	 1	 3	 8	 6	 2	 7	 4	
 5	 9	 1	 6	 3	 8	 2	 4	 7	
 5	 9	 1	 6	 3	 8	 2	 7	 4	
 5	 9	 1	 6	 8	 3	 2	 4	 7	
 5	 9	 1	 6	 8	 3	 2	 7	 4	
 5	 9	 1	 8	 3	 6	 2	 4	 7	
 5	 9	 1	 8	 3	 6	 2	 7	 4	
 5	 9	 1	 8	 6	 3	 2	 4	 7	
 5	 9	 1	 8	 6	 3	 2	 7	 4	
 5	 9	 6	 3	 4	 7	 1	 2	 8	
 5	 9	 6	 3	 4	 7	 1	 8	 2	
 5	 9	 6	 3	 7	 4	 1	 2	 8	
 5	 9	 6	 3	 7	 4	 1	 8	 2	
 5	 9	 6	 4	 3	 7	 1	 2	 8	
 5	 9	 6	 4	 3	 7	 1	 8	 2	
 5	 9	 6	 4	 7	 3	 1	 2	 8	
 5	 9	 6	 4	 7	 3	 1	 8	 2	
 5	 9	 6	 7	 3	 4	 1	 2	 8	
 5	 9	 6	 7	 3	 4	 1	 8	 2	
 5	 9	 6	 7	 4	 3	 1	 2	 8	
 5	 9	 6	 7	 4	 3	 1	 8	 2	
 6	 1	 2	 3	 4	 7	 5	 8	 9	
 6	 1	 2	 3	 4	 7	 5	 9	 8	
 6	 1	 2	 3	 7	 4	 5	 8	 9	
 6	 1	 2	 3	 7	 4	 5	 9	 8	
 6	 1	 2	 4	 3	 7	 5	 8	 9	
 6	 1	 2	 4	 3	 7	 5	 9	 8	
 6	 1	 2	 4	 7	 3	 5	 8	 9	
 6	 1	 2	 4	 7	 3	 5	 9	 8	
 6	 1	 2	 7	 3	 4	 5	 8	 9	
 6	 1	 2	 7	 3	 4	 5	 9	 8	
 6	 1	 2	 7	 4	 3	 5	 8	 9	
 6	 1	 2	 7	 4	 3	 5	 9	 8	
 6	 1	 4	 2	 3	 5	 7	 8	 9	
 6	 1	 4	 2	 3	 5	 7	 9	 8	
 6	 1	 4	 2	 5	 3	 7	 8	 9	
 6	 1	 4	 2	 5	 3	 7	 9	 8	
 6	 1	 4	 3	 2	 5	 7	 8	 9	
 6	 1	 4	 3	 2	 5	 7	 9	 8	
 6	 1	 4	 3	 5	 2	 7	 8	 9	
 6	 1	 4	 3	 5	 2	 7	 9	 8	
 6	 1	 4	 5	 2	 3	 7	 8	 9	
 6	 1	 4	 5	 2	 3	 7	 9	 8	
 6	 1	 4	 5	 3	 2	 7	 8	 9	
 6	 1	 4	 5	 3	 2	 7	 9	 8	
 6	 2	 1	 5	 7	 8	 4	 3	 9	
 6	 2	 1	 5	 7	 8	 4	 9	 3	
 6	 2	 1	 5	 8	 7	 4	 3	 9	
 6	 2	 1	 5	 8	 7	 4	 9	 3	
 6	 2	 1	 7	 5	 8	 4	 3	 9	
 6	 2	 1	 7	 5	 8	 4	 9	 3	
 6	 2	 1	 7	 8	 5	 4	 3	 9	
 6	 2	 1	 7	 8	 5	 4	 9	 3	
 6	 2	 1	 8	 5	 7	 4	 3	 9	
 6	 2	 1	 8	 5	 7	 4	 9	 3	
 6	 2	 1	 8	 7	 5	 4	 3	 9	
 6	 2	 1	 8	 7	 5	 4	 9	 3	
 6	 2	 9	 5	 7	 8	 4	 1	 3	
 6	 2	 9	 5	 7	 8	 4	 3	 1	
 6	 2	 9	 5	 8	 7	 4	 1	 3	
 6	 2	 9	 5	 8	 7	 4	 3	 1	
 6	 2	 9	 7	 5	 8	 4	 1	 3	
 6	 2	 9	 7	 5	 8	 4	 3	 1	
 6	 2	 9	 7	 8	 5	 4	 1	 3	
 6	 2	 9	 7	 8	 5	 4	 3	 1	
 6	 2	 9	 8	 5	 7	 4	 1	 3	
 6	 2	 9	 8	 5	 7	 4	 3	 1	
 6	 2	 9	 8	 7	 5	 4	 1	 3	
 6	 2	 9	 8	 7	 5	 4	 3	 1	
 6	 4	 7	 2	 3	 8	 1	 5	 9	
 6	 4	 7	 2	 3	 8	 1	 9	 5	
 6	 4	 7	 2	 8	 3	 1	 5	 9	
 6	 4	 7	 2	 8	 3	 1	 9	 5	
 6	 4	 7	 3	 2	 8	 1	 5	 9	
 6	 4	 7	 3	 2	 8	 1	 9	 5	
 6	 4	 7	 3	 8	 2	 1	 5	 9	
 6	 4	 7	 3	 8	 2	 1	 9	 5	
 6	 4	 7	 8	 2	 3	 1	 5	 9	
 6	 4	 7	 8	 2	 3	 1	 9	 5	
 6	 4	 7	 8	 3	 2	 1	 5	 9	
 6	 4	 7	 8	 3	 2	 1	 9	 5	
 6	 9	 5	 3	 4	 7	 1	 2	 8	
 6	 9	 5	 3	 4	 7	 1	 8	 2	
 6	 9	 5	 3	 7	 4	 1	 2	 8	
 6	 9	 5	 3	 7	 4	 1	 8	 2	
 6	 9	 5	 4	 3	 7	 1	 2	 8	
 6	 9	 5	 4	 3	 7	 1	 8	 2	
 6	 9	 5	 4	 7	 3	 1	 2	 8	
 6	 9	 5	 4	 7	 3	 1	 8	 2	
 6	 9	 5	 7	 3	 4	 1	 2	 8	
 6	 9	 5	 7	 3	 4	 1	 8	 2	
 6	 9	 5	 7	 4	 3	 1	 2	 8	
 6	 9	 5	 7	 4	 3	 1	 8	 2	
 7	 1	 2	 3	 4	 6	 5	 8	 9	
 7	 1	 2	 3	 4	 6	 5	 9	 8	
 7	 1	 2	 3	 6	 4	 5	 8	 9	
 7	 1	 2	 3	 6	 4	 5	 9	 8	
 7	 1	 2	 4	 3	 6	 5	 8	 9	
 7	 1	 2	 4	 3	 6	 5	 9	 8	
 7	 1	 2	 4	 6	 3	 5	 8	 9	
 7	 1	 2	 4	 6	 3	 5	 9	 8	
 7	 1	 2	 6	 3	 4	 5	 8	 9	
 7	 1	 2	 6	 3	 4	 5	 9	 8	
 7	 1	 2	 6	 4	 3	 5	 8	 9	
 7	 1	 2	 6	 4	 3	 5	 9	 8	
 7	 1	 9	 2	 3	 5	 6	 4	 8	
 7	 1	 9	 2	 3	 5	 6	 8	 4	
 7	 1	 9	 2	 5	 3	 6	 4	 8	
 7	 1	 9	 2	 5	 3	 6	 8	 4	
 7	 1	 9	 3	 2	 5	 6	 4	 8	
 7	 1	 9	 3	 2	 5	 6	 8	 4	
 7	 1	 9	 3	 5	 2	 6	 4	 8	
 7	 1	 9	 3	 5	 2	 6	 8	 4	
 7	 1	 9	 5	 2	 3	 6	 4	 8	
 7	 1	 9	 5	 2	 3	 6	 8	 4	
 7	 1	 9	 5	 3	 2	 6	 4	 8	
 7	 1	 9	 5	 3	 2	 6	 8	 4	
 7	 3	 2	 5	 8	 9	 4	 1	 6	
 7	 3	 2	 5	 8	 9	 4	 6	 1	
 7	 3	 2	 5	 9	 8	 4	 1	 6	
 7	 3	 2	 5	 9	 8	 4	 6	 1	
 7	 3	 2	 8	 5	 9	 4	 1	 6	
 7	 3	 2	 8	 5	 9	 4	 6	 1	
 7	 3	 2	 8	 9	 5	 4	 1	 6	
 7	 3	 2	 8	 9	 5	 4	 6	 1	
 7	 3	 2	 9	 5	 8	 4	 1	 6	
 7	 3	 2	 9	 5	 8	 4	 6	 1	
 7	 3	 2	 9	 8	 5	 4	 1	 6	
 7	 3	 2	 9	 8	 5	 4	 6	 1	
 7	 4	 2	 5	 6	 9	 3	 1	 8	
 7	 4	 2	 5	 6	 9	 3	 8	 1	
 7	 4	 2	 5	 9	 6	 3	 1	 8	
 7	 4	 2	 5	 9	 6	 3	 8	 1	
 7	 4	 2	 6	 5	 9	 3	 1	 8	
 7	 4	 2	 6	 5	 9	 3	 8	 1	
 7	 4	 2	 6	 9	 5	 3	 1	 8	
 7	 4	 2	 6	 9	 5	 3	 8	 1	
 7	 4	 2	 9	 5	 6	 3	 1	 8	
 7	 4	 2	 9	 5	 6	 3	 8	 1	
 7	 4	 2	 9	 6	 5	 3	 1	 8	
 7	 4	 2	 9	 6	 5	 3	 8	 1	
 7	 4	 6	 2	 3	 9	 1	 5	 8	
 7	 4	 6	 2	 3	 9	 1	 8	 5	
 7	 4	 6	 2	 9	 3	 1	 5	 8	
 7	 4	 6	 2	 9	 3	 1	 8	 5	
 7	 4	 6	 3	 2	 9	 1	 5	 8	
 7	 4	 6	 3	 2	 9	 1	 8	 5	
 7	 4	 6	 3	 9	 2	 1	 5	 8	
 7	 4	 6	 3	 9	 2	 1	 8	 5	
 7	 4	 6	 9	 2	 3	 1	 5	 8	
 7	 4	 6	 9	 2	 3	 1	 8	 5	
 7	 4	 6	 9	 3	 2	 1	 5	 8	
 7	 4	 6	 9	 3	 2	 1	 8	 5	
 7	 4	 8	 5	 6	 9	 3	 1	 2	
 7	 4	 8	 5	 6	 9	 3	 2	 1	
 7	 4	 8	 5	 9	 6	 3	 1	 2	
 7	 4	 8	 5	 9	 6	 3	 2	 1	
 7	 4	 8	 6	 5	 9	 3	 1	 2	
 7	 4	 8	 6	 5	 9	 3	 2	 1	
 7	 4	 8	 6	 9	 5	 3	 1	 2	
 7	 4	 8	 6	 9	 5	 3	 2	 1	
 7	 4	 8	 9	 5	 6	 3	 1	 2	
 7	 4	 8	 9	 5	 6	 3	 2	 1	
 7	 4	 8	 9	 6	 5	 3	 1	 2	
 7	 4	 8	 9	 6	 5	 3	 2	 1	
 7	 6	 1	 3	 5	 9	 2	 4	 8	
 7	 6	 1	 3	 5	 9	 2	 8	 4	
 7	 6	 1	 3	 9	 5	 2	 4	 8	
 7	 6	 1	 3	 9	 5	 2	 8	 4	
 7	 6	 1	 5	 3	 9	 2	 4	 8	
 7	 6	 1	 5	 3	 9	 2	 8	 4	
 7	 6	 1	 5	 9	 3	 2	 4	 8	
 7	 6	 1	 5	 9	 3	 2	 8	 4	
 7	 6	 1	 9	 3	 5	 2	 4	 8	
 7	 6	 1	 9	 3	 5	 2	 8	 4	
 7	 6	 1	 9	 5	 3	 2	 4	 8	
 7	 6	 1	 9	 5	 3	 2	 8	 4	
 8	 1	 4	 2	 3	 5	 6	 7	 9	
 8	 1	 4	 2	 3	 5	 6	 9	 7	
 8	 1	 4	 2	 5	 3	 6	 7	 9	
 8	 1	 4	 2	 5	 3	 6	 9	 7	
 8	 1	 4	 3	 2	 5	 6	 7	 9	
 8	 1	 4	 3	 2	 5	 6	 9	 7	
 8	 1	 4	 3	 5	 2	 6	 7	 9	
 8	 1	 4	 3	 5	 2	 6	 9	 7	
 8	 1	 4	 5	 2	 3	 6	 7	 9	
 8	 1	 4	 5	 2	 3	 6	 9	 7	
 8	 1	 4	 5	 3	 2	 6	 7	 9	
 8	 1	 4	 5	 3	 2	 6	 9	 7	
 8	 1	 9	 2	 3	 5	 7	 4	 6	
 8	 1	 9	 2	 3	 5	 7	 6	 4	
 8	 1	 9	 2	 5	 3	 7	 4	 6	
 8	 1	 9	 2	 5	 3	 7	 6	 4	
 8	 1	 9	 2	 6	 7	 5	 3	 4	
 8	 1	 9	 2	 6	 7	 5	 4	 3	
 8	 1	 9	 2	 7	 6	 5	 3	 4	
 8	 1	 9	 2	 7	 6	 5	 4	 3	
 8	 1	 9	 3	 2	 5	 7	 4	 6	
 8	 1	 9	 3	 2	 5	 7	 6	 4	
 8	 1	 9	 3	 4	 6	 5	 2	 7	
 8	 1	 9	 3	 4	 6	 5	 7	 2	
 8	 1	 9	 3	 4	 7	 5	 2	 6	
 8	 1	 9	 3	 4	 7	 5	 6	 2	
 8	 1	 9	 3	 5	 2	 7	 4	 6	
 8	 1	 9	 3	 5	 2	 7	 6	 4	
 8	 1	 9	 3	 6	 4	 5	 2	 7	
 8	 1	 9	 3	 6	 4	 5	 7	 2	
 8	 1	 9	 3	 7	 4	 5	 2	 6	
 8	 1	 9	 3	 7	 4	 5	 6	 2	
 8	 1	 9	 4	 3	 6	 5	 2	 7	
 8	 1	 9	 4	 3	 6	 5	 7	 2	
 8	 1	 9	 4	 3	 7	 5	 2	 6	
 8	 1	 9	 4	 3	 7	 5	 6	 2	
 8	 1	 9	 4	 6	 3	 5	 2	 7	
 8	 1	 9	 4	 6	 3	 5	 7	 2	
 8	 1	 9	 4	 7	 3	 5	 2	 6	
 8	 1	 9	 4	 7	 3	 5	 6	 2	
 8	 1	 9	 5	 2	 3	 7	 4	 6	
 8	 1	 9	 5	 2	 3	 7	 6	 4	
 8	 1	 9	 5	 3	 2	 7	 4	 6	
 8	 1	 9	 5	 3	 2	 7	 6	 4	
 8	 1	 9	 6	 2	 7	 5	 3	 4	
 8	 1	 9	 6	 2	 7	 5	 4	 3	
 8	 1	 9	 6	 3	 4	 5	 2	 7	
 8	 1	 9	 6	 3	 4	 5	 7	 2	
 8	 1	 9	 6	 4	 3	 5	 2	 7	
 8	 1	 9	 6	 4	 3	 5	 7	 2	
 8	 1	 9	 6	 7	 2	 5	 3	 4	
 8	 1	 9	 6	 7	 2	 5	 4	 3	
 8	 1	 9	 7	 2	 6	 5	 3	 4	
 8	 1	 9	 7	 2	 6	 5	 4	 3	
 8	 1	 9	 7	 3	 4	 5	 2	 6	
 8	 1	 9	 7	 3	 4	 5	 6	 2	
 8	 1	 9	 7	 4	 3	 5	 2	 6	
 8	 1	 9	 7	 4	 3	 5	 6	 2	
 8	 1	 9	 7	 6	 2	 5	 3	 4	
 8	 1	 9	 7	 6	 2	 5	 4	 3	
 8	 2	 1	 5	 7	 9	 4	 3	 6	
 8	 2	 1	 5	 7	 9	 4	 6	 3	
 8	 2	 1	 5	 9	 7	 4	 3	 6	
 8	 2	 1	 5	 9	 7	 4	 6	 3	
 8	 2	 1	 7	 5	 9	 4	 3	 6	
 8	 2	 1	 7	 5	 9	 4	 6	 3	
 8	 2	 1	 7	 9	 5	 4	 3	 6	
 8	 2	 1	 7	 9	 5	 4	 6	 3	
 8	 2	 1	 9	 5	 7	 4	 3	 6	
 8	 2	 1	 9	 5	 7	 4	 6	 3	
 8	 2	 1	 9	 7	 5	 4	 3	 6	
 8	 2	 1	 9	 7	 5	 4	 6	 3	
 8	 3	 9	 2	 4	 5	 1	 6	 7	
 8	 3	 9	 2	 4	 5	 1	 7	 6	
 8	 3	 9	 2	 5	 4	 1	 6	 7	
 8	 3	 9	 2	 5	 4	 1	 7	 6	
 8	 3	 9	 4	 2	 5	 1	 6	 7	
 8	 3	 9	 4	 2	 5	 1	 7	 6	
 8	 3	 9	 4	 5	 2	 1	 6	 7	
 8	 3	 9	 4	 5	 2	 1	 7	 6	
 8	 3	 9	 5	 2	 4	 1	 6	 7	
 8	 3	 9	 5	 2	 4	 1	 7	 6	
 8	 3	 9	 5	 4	 2	 1	 6	 7	
 8	 3	 9	 5	 4	 2	 1	 7	 6	
 8	 4	 7	 3	 6	 9	 2	 1	 5	
 8	 4	 7	 3	 6	 9	 2	 5	 1	
 8	 4	 7	 3	 9	 6	 2	 1	 5	
 8	 4	 7	 3	 9	 6	 2	 5	 1	
 8	 4	 7	 6	 3	 9	 2	 1	 5	
 8	 4	 7	 6	 3	 9	 2	 5	 1	
 8	 4	 7	 6	 9	 3	 2	 1	 5	
 8	 4	 7	 6	 9	 3	 2	 5	 1	
 8	 4	 7	 9	 3	 6	 2	 1	 5	
 8	 4	 7	 9	 3	 6	 2	 5	 1	
 8	 4	 7	 9	 6	 3	 2	 1	 5	
 8	 4	 7	 9	 6	 3	 2	 5	 1	
 8	 5	 1	 3	 4	 6	 2	 7	 9	
 8	 5	 1	 3	 4	 6	 2	 9	 7	
 8	 5	 1	 3	 6	 4	 2	 7	 9	
 8	 5	 1	 3	 6	 4	 2	 9	 7	
 8	 5	 1	 3	 6	 7	 2	 4	 9	
 8	 5	 1	 3	 6	 7	 2	 9	 4	
 8	 5	 1	 3	 7	 6	 2	 4	 9	
 8	 5	 1	 3	 7	 6	 2	 9	 4	
 8	 5	 1	 4	 3	 6	 2	 7	 9	
 8	 5	 1	 4	 3	 6	 2	 9	 7	
 8	 5	 1	 4	 6	 3	 2	 7	 9	
 8	 5	 1	 4	 6	 3	 2	 9	 7	
 8	 5	 1	 6	 3	 4	 2	 7	 9	
 8	 5	 1	 6	 3	 4	 2	 9	 7	
 8	 5	 1	 6	 3	 7	 2	 4	 9	
 8	 5	 1	 6	 3	 7	 2	 9	 4	
 8	 5	 1	 6	 4	 3	 2	 7	 9	
 8	 5	 1	 6	 4	 3	 2	 9	 7	
 8	 5	 1	 6	 7	 3	 2	 4	 9	
 8	 5	 1	 6	 7	 3	 2	 9	 4	
 8	 5	 1	 7	 3	 6	 2	 4	 9	
 8	 5	 1	 7	 3	 6	 2	 9	 4	
 8	 5	 1	 7	 6	 3	 2	 4	 9	
 8	 5	 1	 7	 6	 3	 2	 9	 4	
 8	 5	 4	 2	 3	 7	 1	 6	 9	
 8	 5	 4	 2	 3	 7	 1	 9	 6	
 8	 5	 4	 2	 3	 9	 1	 6	 7	
 8	 5	 4	 2	 3	 9	 1	 7	 6	
 8	 5	 4	 2	 7	 3	 1	 6	 9	
 8	 5	 4	 2	 7	 3	 1	 9	 6	
 8	 5	 4	 2	 9	 3	 1	 6	 7	
 8	 5	 4	 2	 9	 3	 1	 7	 6	
 8	 5	 4	 3	 2	 7	 1	 6	 9	
 8	 5	 4	 3	 2	 7	 1	 9	 6	
 8	 5	 4	 3	 2	 9	 1	 6	 7	
 8	 5	 4	 3	 2	 9	 1	 7	 6	
 8	 5	 4	 3	 7	 2	 1	 6	 9	
 8	 5	 4	 3	 7	 2	 1	 9	 6	
 8	 5	 4	 3	 9	 2	 1	 6	 7	
 8	 5	 4	 3	 9	 2	 1	 7	 6	
 8	 5	 4	 7	 2	 3	 1	 6	 9	
 8	 5	 4	 7	 2	 3	 1	 9	 6	
 8	 5	 4	 7	 3	 2	 1	 6	 9	
 8	 5	 4	 7	 3	 2	 1	 9	 6	
 8	 5	 4	 9	 2	 3	 1	 6	 7	
 8	 5	 4	 9	 2	 3	 1	 7	 6	
 8	 5	 4	 9	 3	 2	 1	 6	 7	
 8	 5	 4	 9	 3	 2	 1	 7	 6	
 8	 6	 3	 4	 5	 9	 2	 1	 7	
 8	 6	 3	 4	 5	 9	 2	 7	 1	
 8	 6	 3	 4	 9	 5	 2	 1	 7	
 8	 6	 3	 4	 9	 5	 2	 7	 1	
 8	 6	 3	 5	 4	 9	 2	 1	 7	
 8	 6	 3	 5	 4	 9	 2	 7	 1	
 8	 6	 3	 5	 9	 4	 2	 1	 7	
 8	 6	 3	 5	 9	 4	 2	 7	 1	
 8	 6	 3	 9	 4	 5	 2	 1	 7	
 8	 6	 3	 9	 4	 5	 2	 7	 1	
 8	 6	 3	 9	 5	 4	 2	 1	 7	
 8	 6	 3	 9	 5	 4	 2	 7	 1	
 8	 6	 7	 4	 5	 9	 2	 1	 3	
 8	 6	 7	 4	 5	 9	 2	 3	 1	
 8	 6	 7	 4	 9	 5	 2	 1	 3	
 8	 6	 7	 4	 9	 5	 2	 3	 1	
 8	 6	 7	 5	 4	 9	 2	 1	 3	
 8	 6	 7	 5	 4	 9	 2	 3	 1	
 8	 6	 7	 5	 9	 4	 2	 1	 3	
 8	 6	 7	 5	 9	 4	 2	 3	 1	
 8	 6	 7	 9	 4	 5	 2	 1	 3	
 8	 6	 7	 9	 4	 5	 2	 3	 1	
 8	 6	 7	 9	 5	 4	 2	 1	 3	
 8	 6	 7	 9	 5	 4	 2	 3	 1	
 9	 1	 7	 2	 3	 5	 6	 4	 8	
 9	 1	 7	 2	 3	 5	 6	 8	 4	
 9	 1	 7	 2	 5	 3	 6	 4	 8	
 9	 1	 7	 2	 5	 3	 6	 8	 4	
 9	 1	 7	 3	 2	 5	 6	 4	 8	
 9	 1	 7	 3	 2	 5	 6	 8	 4	
 9	 1	 7	 3	 5	 2	 6	 4	 8	
 9	 1	 7	 3	 5	 2	 6	 8	 4	
 9	 1	 7	 5	 2	 3	 6	 4	 8	
 9	 1	 7	 5	 2	 3	 6	 8	 4	
 9	 1	 7	 5	 3	 2	 6	 4	 8	
 9	 1	 7	 5	 3	 2	 6	 8	 4	
 9	 1	 8	 2	 3	 5	 7	 4	 6	
 9	 1	 8	 2	 3	 5	 7	 6	 4	
 9	 1	 8	 2	 5	 3	 7	 4	 6	
 9	 1	 8	 2	 5	 3	 7	 6	 4	
 9	 1	 8	 2	 6	 7	 5	 3	 4	
 9	 1	 8	 2	 6	 7	 5	 4	 3	
 9	 1	 8	 2	 7	 6	 5	 3	 4	
 9	 1	 8	 2	 7	 6	 5	 4	 3	
 9	 1	 8	 3	 2	 5	 7	 4	 6	
 9	 1	 8	 3	 2	 5	 7	 6	 4	
 9	 1	 8	 3	 4	 6	 5	 2	 7	
 9	 1	 8	 3	 4	 6	 5	 7	 2	
 9	 1	 8	 3	 4	 7	 5	 2	 6	
 9	 1	 8	 3	 4	 7	 5	 6	 2	
 9	 1	 8	 3	 5	 2	 7	 4	 6	
 9	 1	 8	 3	 5	 2	 7	 6	 4	
 9	 1	 8	 3	 6	 4	 5	 2	 7	
 9	 1	 8	 3	 6	 4	 5	 7	 2	
 9	 1	 8	 3	 7	 4	 5	 2	 6	
 9	 1	 8	 3	 7	 4	 5	 6	 2	
 9	 1	 8	 4	 3	 6	 5	 2	 7	
 9	 1	 8	 4	 3	 6	 5	 7	 2	
 9	 1	 8	 4	 3	 7	 5	 2	 6	
 9	 1	 8	 4	 3	 7	 5	 6	 2	
 9	 1	 8	 4	 6	 3	 5	 2	 7	
 9	 1	 8	 4	 6	 3	 5	 7	 2	
 9	 1	 8	 4	 7	 3	 5	 2	 6	
 9	 1	 8	 4	 7	 3	 5	 6	 2	
 9	 1	 8	 5	 2	 3	 7	 4	 6	
 9	 1	 8	 5	 2	 3	 7	 6	 4	
 9	 1	 8	 5	 3	 2	 7	 4	 6	
 9	 1	 8	 5	 3	 2	 7	 6	 4	
 9	 1	 8	 6	 2	 7	 5	 3	 4	
 9	 1	 8	 6	 2	 7	 5	 4	 3	
 9	 1	 8	 6	 3	 4	 5	 2	 7	
 9	 1	 8	 6	 3	 4	 5	 7	 2	
 9	 1	 8	 6	 4	 3	 5	 2	 7	
 9	 1	 8	 6	 4	 3	 5	 7	 2	
 9	 1	 8	 6	 7	 2	 5	 3	 4	
 9	 1	 8	 6	 7	 2	 5	 4	 3	
 9	 1	 8	 7	 2	 6	 5	 3	 4	
 9	 1	 8	 7	 2	 6	 5	 4	 3	
 9	 1	 8	 7	 3	 4	 5	 2	 6	
 9	 1	 8	 7	 3	 4	 5	 6	 2	
 9	 1	 8	 7	 4	 3	 5	 2	 6	
 9	 1	 8	 7	 4	 3	 5	 6	 2	
 9	 1	 8	 7	 6	 2	 5	 3	 4	
 9	 1	 8	 7	 6	 2	 5	 4	 3	
 9	 2	 1	 4	 5	 6	 3	 7	 8	
 9	 2	 1	 4	 5	 6	 3	 8	 7	
 9	 2	 1	 4	 6	 5	 3	 7	 8	
 9	 2	 1	 4	 6	 5	 3	 8	 7	
 9	 2	 1	 4	 6	 7	 3	 5	 8	
 9	 2	 1	 4	 6	 7	 3	 8	 5	
 9	 2	 1	 4	 7	 6	 3	 5	 8	
 9	 2	 1	 4	 7	 6	 3	 8	 5	
 9	 2	 1	 5	 4	 6	 3	 7	 8	
 9	 2	 1	 5	 4	 6	 3	 8	 7	
 9	 2	 1	 5	 6	 4	 3	 7	 8	
 9	 2	 1	 5	 6	 4	 3	 8	 7	
 9	 2	 1	 6	 4	 5	 3	 7	 8	
 9	 2	 1	 6	 4	 5	 3	 8	 7	
 9	 2	 1	 6	 4	 7	 3	 5	 8	
 9	 2	 1	 6	 4	 7	 3	 8	 5	
 9	 2	 1	 6	 5	 4	 3	 7	 8	
 9	 2	 1	 6	 5	 4	 3	 8	 7	
 9	 2	 1	 6	 7	 4	 3	 5	 8	
 9	 2	 1	 6	 7	 4	 3	 8	 5	
 9	 2	 1	 7	 4	 6	 3	 5	 8	
 9	 2	 1	 7	 4	 6	 3	 8	 5	
 9	 2	 1	 7	 6	 4	 3	 5	 8	
 9	 2	 1	 7	 6	 4	 3	 8	 5	
 9	 2	 5	 4	 7	 8	 3	 1	 6	
 9	 2	 5	 4	 7	 8	 3	 6	 1	
 9	 2	 5	 4	 8	 7	 3	 1	 6	
 9	 2	 5	 4	 8	 7	 3	 6	 1	
 9	 2	 5	 7	 4	 8	 3	 1	 6	
 9	 2	 5	 7	 4	 8	 3	 6	 1	
 9	 2	 5	 7	 8	 4	 3	 1	 6	
 9	 2	 5	 7	 8	 4	 3	 6	 1	
 9	 2	 5	 8	 4	 7	 3	 1	 6	
 9	 2	 5	 8	 4	 7	 3	 6	 1	
 9	 2	 5	 8	 7	 4	 3	 1	 6	
 9	 2	 5	 8	 7	 4	 3	 6	 1	
 9	 3	 8	 4	 5	 7	 2	 1	 6	
 9	 3	 8	 4	 5	 7	 2	 6	 1	
 9	 3	 8	 4	 7	 5	 2	 1	 6	
 9	 3	 8	 4	 7	 5	 2	 6	 1	
 9	 3	 8	 5	 4	 7	 2	 1	 6	
 9	 3	 8	 5	 4	 7	 2	 6	 1	
 9	 3	 8	 5	 7	 4	 2	 1	 6	
 9	 3	 8	 5	 7	 4	 2	 6	 1	
 9	 3	 8	 7	 4	 5	 2	 1	 6	
 9	 3	 8	 7	 4	 5	 2	 6	 1	
 9	 3	 8	 7	 5	 4	 2	 1	 6	
 9	 3	 8	 7	 5	 4	 2	 6	 1	
 9	 4	 5	 2	 3	 7	 1	 6	 8	
 9	 4	 5	 2	 3	 7	 1	 8	 6	
 9	 4	 5	 2	 3	 8	 1	 6	 7	
 9	 4	 5	 2	 3	 8	 1	 7	 6	
 9	 4	 5	 2	 7	 3	 1	 6	 8	
 9	 4	 5	 2	 7	 3	 1	 8	 6	
 9	 4	 5	 2	 8	 3	 1	 6	 7	
 9	 4	 5	 2	 8	 3	 1	 7	 6	
 9	 4	 5	 3	 2	 7	 1	 6	 8	
 9	 4	 5	 3	 2	 7	 1	 8	 6	
 9	 4	 5	 3	 2	 8	 1	 6	 7	
 9	 4	 5	 3	 2	 8	 1	 7	 6	
 9	 4	 5	 3	 7	 2	 1	 6	 8	
 9	 4	 5	 3	 7	 2	 1	 8	 6	
 9	 4	 5	 3	 7	 8	 2	 1	 6	
 9	 4	 5	 3	 7	 8	 2	 6	 1	
 9	 4	 5	 3	 8	 2	 1	 6	 7	
 9	 4	 5	 3	 8	 2	 1	 7	 6	
 9	 4	 5	 3	 8	 7	 2	 1	 6	
 9	 4	 5	 3	 8	 7	 2	 6	 1	
 9	 4	 5	 7	 2	 3	 1	 6	 8	
 9	 4	 5	 7	 2	 3	 1	 8	 6	
 9	 4	 5	 7	 3	 2	 1	 6	 8	
 9	 4	 5	 7	 3	 2	 1	 8	 6	
 9	 4	 5	 7	 3	 8	 2	 1	 6	
 9	 4	 5	 7	 3	 8	 2	 6	 1	
 9	 4	 5	 7	 8	 3	 2	 1	 6	
 9	 4	 5	 7	 8	 3	 2	 6	 1	
 9	 4	 5	 8	 2	 3	 1	 6	 7	
 9	 4	 5	 8	 2	 3	 1	 7	 6	
 9	 4	 5	 8	 3	 2	 1	 6	 7	
 9	 4	 5	 8	 3	 2	 1	 7	 6	
 9	 4	 5	 8	 3	 7	 2	 1	 6	
 9	 4	 5	 8	 3	 7	 2	 6	 1	
 9	 4	 5	 8	 7	 3	 2	 1	 6	
 9	 4	 5	 8	 7	 3	 2	 6	 1	
 9	 8	 1	 4	 6	 7	 2	 3	 5	
 9	 8	 1	 4	 6	 7	 2	 5	 3	
 9	 8	 1	 4	 7	 6	 2	 3	 5	
 9	 8	 1	 4	 7	 6	 2	 5	 3	
 9	 8	 1	 6	 4	 7	 2	 3	 5	
 9	 8	 1	 6	 4	 7	 2	 5	 3	
 9	 8	 1	 6	 7	 4	 2	 3	 5	
 9	 8	 1	 6	 7	 4	 2	 5	 3	
 9	 8	 1	 7	 4	 6	 2	 3	 5	
 9	 8	 1	 7	 4	 6	 2	 5	 3	
 9	 8	 1	 7	 6	 4	 2	 3	 5	
 9	 8	 1	 7	 6	 4	 2	 5	 3	
 9	 8	 6	 3	 4	 7	 1	 2	 5	
 9	 8	 6	 3	 4	 7	 1	 5	 2	
 9	 8	 6	 3	 7	 4	 1	 2	 5	
 9	 8	 6	 3	 7	 4	 1	 5	 2	
 9	 8	 6	 4	 3	 7	 1	 2	 5	
 9	 8	 6	 4	 3	 7	 1	 5	 2	
 9	 8	 6	 4	 7	 3	 1	 2	 5	
 9	 8	 6	 4	 7	 3	 1	 5	 2	
 9	 8	 6	 7	 3	 4	 1	 2	 5	
 9	 8	 6	 7	 3	 4	 1	 5	 2	
 9	 8	 6	 7	 4	 3	 1	 2	 5	
 9	 8	 6	 7	 4	 3	 1	 5	 2	

35 posted on 09/17/2010 9:00:07 AM PDT by OneWingedShark (Q: Why am I here? A: To do Justly, to love mercy, and to walk humbly with my God.)
[ Post Reply | Private Reply | To 4 | View Replies]

To: BruceDeitrickPrice
Unbelieveable but true - one of the "new" methods of teaching division is guessing...

"How many times do you THINK 2 will go into 20?" -

Uh, 2?

"Ok 2 plus 2 is four. Take away four from 20 and you have 16. How many times do you think 2 will go into 16?"

Seriously - they continue this way until they get to zero.

36 posted on 09/17/2010 9:01:38 AM PDT by WhyisaTexasgirlinPA (I'd rather drink Tea than Koolaid)
[ Post Reply | Private Reply | To 1 | View Replies]

To: 2Jedismom; 6amgelsmama; AAABEST; aberaussie; Aggie Mama; agrace; AliVeritas; AlmaKing; AngieGal; ...

ANOTHER REASON TO HOMESCHOOL

This ping list is for the “other” articles of interest to homeschoolers about education and public school. This can occasionally be a fairly high volume list. Articles pinged to the Another Reason to Homeschool List will be given the keyword of ARTH. (If I remember. If I forget, please feel free to add it yourself) The main Homeschool Ping List handles the homeschool-specific articles. I hold both the Homeschool Ping List and the Another Reason to Homeschool Ping list. Please freepmail me to let me know if you would like to be added to or removed from either list, or both.
37 posted on 09/17/2010 9:01:54 AM PDT by JenB
[ Post Reply | Private Reply | To 1 | View Replies]

To: apillar

Took me till midnight last night and half the morning, but I got it!

(6/2)*9+(5*7*8)/4+(3*1)=100
(Parentheses added for easier reading)

I’m one of those people who, if I see a puzzle, I can’t let it go until I solve it. There are some I’ve been mulling over for years looking for the answer. This one was nice, it fit on a single page ;)


38 posted on 09/17/2010 9:07:02 AM PDT by Ellendra (I'll believe it's a crisis when the people who say it's a crisis, ACT like it's a crisis!)
[ Post Reply | Private Reply | To 4 | View Replies]

To: Buscador

See post 35 for a more complete answer: that is all possible solutions.


39 posted on 09/17/2010 9:07:32 AM PDT by OneWingedShark (Q: Why am I here? A: To do Justly, to love mercy, and to walk humbly with my God.)
[ Post Reply | Private Reply | To 28 | View Replies]

To: BobP

It’s a deliberate strategy that has been in progress for over 50 years.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

It started the very first day our modern schools opened in the mid-1800s to early 1900s. The goal of Horace Mann and John Dewey ( whose influence was felt long before 50 years ago) was **exactly** the social engineering our children suffer today.

Government schools are by **definition** socialist, godless, compulsory, a price-fixed monopoly cartel, and government owned and run!

Since the mid-1800s to early 1900s our nation’s children have been taught by their government schools to be comfortable with:

** socialism
** government cartel projects
** government ownership and management of their lives!
** and at first a luke warm and generic Protestantism that was soon replaced by utter godlessness! ( We know what Christ does with the lukewarm. He spits them out of His mouth!)

The above can not be reformed because it is the very definition of government schooling. Within one to three generations of compulsory, socialist, godless, government owned and run cartel schools we had:

** the federal reserve
** inexorable inflation
** the direct election of senators
** usurpation of large tracts of state land for federal parks ( without compensation, by the way.)
** Woodrow Wilson
** the failed “one world” League of Nations
** feminism
** unions
** Franklin D. Roosevelt’s New Deal
** the abominable U.N.
** Lyndon B. Johnson’s Great Society
** the abolishment of the gold standard

Please note how much of the above had its beginnings **LONG** before 50 years ago.

And...**ALL** of the above is entirely due to generations of children being made to feel comfortable (by means of their government indoctrination) with socialism, godlessness, government compulsion, and government ownership and management of government cartels!

(Not proof read.I am in a hurry today.)


40 posted on 09/17/2010 9:19:33 AM PDT by wintertime (Good ideas win! Why? Because people are not stupid.)
[ Post Reply | Private Reply | To 9 | View Replies]

To: TheOldLady
The real danger to the country is the destruction, for the past three generations, of the public education system.
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Please read post #40.

The destruction of our education system began the very first day that modern government schools opened in the mid-1800s to early 1900s.

Our modern government schools are NOT NOT BROKEN! They are doing EXACTLY what Horace Mann and John Dewey and the other “progressives” intended!

41 posted on 09/17/2010 9:24:33 AM PDT by wintertime (Good ideas win! Why? Because people are not stupid.)
[ Post Reply | Private Reply | To 30 | View Replies]

To: OneWingedShark

Show off. XD


42 posted on 09/17/2010 9:39:05 AM PDT by netmilsmom (I am inyenzi on the Religion Forum)
[ Post Reply | Private Reply | To 35 | View Replies]

To: JenB

I love how Saxon and Singapore are considered afterschool tutors.

We use Saxon. Why bother with teaching in class, then teaching right after school?


43 posted on 09/17/2010 9:40:38 AM PDT by netmilsmom (I am inyenzi on the Religion Forum)
[ Post Reply | Private Reply | To 37 | View Replies]

To: wintertime

Gosh, you’re right. I recall school (HS class of 1964, lots of night school after that) actually teaching me stuff, but when I really think back on it, the problem was already there. Justifications for communism, sympathy for the “poor,” and the “greed” of the free-market system were inserted in the fine education in math, science, English, history, et.al.

Now even the fine education is gone.


44 posted on 09/17/2010 9:48:20 AM PDT by TheOldLady (Pablo is very wily.)
[ Post Reply | Private Reply | To 41 | View Replies]

To: netmilsmom

LOL / Thanks! [?]


45 posted on 09/17/2010 10:02:35 AM PDT by OneWingedShark (Q: Why am I here? A: To do Justly, to love mercy, and to walk humbly with my God.)
[ Post Reply | Private Reply | To 42 | View Replies]

To: Elsiejay
I cannot understand why it is so difficult to teach children to read. My three could read before they enrolled in first grade. I could have prevented this, of course, if I had kept books and alphabet related toys away from them. Failing that, their learning to read was inevitable, especially with their mother regularly reading books to them.

My first two were just like that, reading came very easily to them. My third one did not read much at all until third grade. My fourth read by the end of first grade. I read to all of them and they all grew up in a reading/language rich home. The first two went to public school until the older one started third grade and the younger one started first. The third one went to private kindergarten and other than that, they were all homeschooled. I think each child is ready to read on his or her own schedule. I think Raymond Moore was right about this....

The first two graduated from college summa cum laude. The third one will do so as well, with an almost perfect grade point average (he just made his first A- which loses the perfect 4.0 at his school). He reads much heavier stuff and writes better than any of the others, despite the fact that he could not read much before third grade and could not write a coherent paragraph before middle school. My fourth one is a junior and is just now actually enjoying reading but is a very good writer - I always thought that for kids to be good writers they needed to read a lot. Kids are good at blowing away our preconceptions!

46 posted on 09/17/2010 10:49:27 AM PDT by aberaussie
[ Post Reply | Private Reply | To 8 | View Replies]

To: OneWingedShark

It was a complement from a math dummy. ;)


47 posted on 09/17/2010 11:30:07 AM PDT by netmilsmom (I am inyenzi on the Religion Forum)
[ Post Reply | Private Reply | To 45 | View Replies]

To: OneWingedShark

It’s a big list, but I have to quibble with you on round-off errors. Check your last result as a test — I get 6.75 + 84 + 10 = 100.75


48 posted on 09/17/2010 11:48:00 AM PDT by jiggyboy (Ten per cent of poll respondents are either lying or insane)
[ Post Reply | Private Reply | To 35 | View Replies]

To: too much time

“actually, only a Mom”...I am glad to see you made the best choice for your children. Being a mom is a lot more important then being an engineer. You are doing something a could never do...being a mom :)

Worldview DAD


49 posted on 09/17/2010 12:08:20 PM PDT by WorldviewDad (following God instead of culture)
[ Post Reply | Private Reply | To 19 | View Replies]

To: Elsiejay
I cannot understand why it is so difficult to teach children to read.

i know... "they" make it difficult... i taught my older son, who as five when we adopted him, to read within eight months of his moving in with us... on top of that, he couldn't talk when he came to live with us... i taught our younger son, who was six months when he came to live with us, all of his letter sounds and blends by the time he was two... i left him alone after that, and he began reading on his own by the time he was three... i've taught a couple of other kindergarteners how to read (family members)... we homeschool...

as for math, i spent the first 3-4 years teaching my kids the fundamentals... inside and out... now both pretty much do math on their own... one is eighth grade, the other is fifth...

50 posted on 09/17/2010 12:18:47 PM PDT by latina4dubya ( self-proclaimed tequila snob)
[ Post Reply | Private Reply | To 8 | View Replies]


Navigation: use the links below to view more comments.
first 1-5051-85 next last

Disclaimer: Opinions posted on Free Republic are those of the individual posters and do not necessarily represent the opinion of Free Republic or its management. All materials posted herein are protected by copyright law and the exemption for fair use of copyrighted works.

Free Republic
Browse · Search
General/Chat
Topics · Post Article

FreeRepublic, LLC, PO BOX 9771, FRESNO, CA 93794
FreeRepublic.com is powered by software copyright 2000-2008 John Robinson