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How and Why This Approach Provide Conceptual Number Sense

03/23/2013 1:11 PM

The above maze of colors represents a templatt the student / Parent should create.

How: take an eight x 11 sheet of paper or stiff stock. Draw a line separating it in two pieces, (landscape). On a center line, create a square 1.5 units, (inches) high on each side of the center line. you should end up with a square three inches on a side, centered on the left half of the vertical center line. Now create the same square on the right side of the vertical center line. Create nine squares on each side by drawing columns and rows on one inch centers and rows on one inch centers.

Why we did that: We now have a matrix of nine boxes into we insert headings now, and insert coin later. We have learned a square is the same length on each of the four sides, each small square is 1x1 and the large square is 3x3 small squares.

Why we inserted titles in the locations we did: Before we inserted ony titles, the large square was solid blue representing the blue sky with no clouds - nothing! most people would think we need Zero, but "0"is the end of the numerals, (look at the number keys on your computer 1, 2, 3, 4, 5, 6, 7, 8, 9 and then 0).

How we locate titles: Box #1 is the lower left corner. The title is One / Monday, the color is brown; Box #2 is the upper left corner. The title is Two / Tuesday, the color is red; box #3 is the upper right corner, the title is Three / Wednesday, the color is orange; box #4 is the lower right corner, the title is Four / Thursday, the color is yellow; box #5 is in the center, the title is Five / Friday, the color is green.

Why we did the above: we started in the lower left corner because the "cycle" is clockwise, The title is One because it is one more tha nothing, the color is brown the way "resistors were "color coded". Following cockwise the pattern continues. The days of the school week are used because the are five in total and the four corners take us to thursday and the fifth day friday becomes "thumbs up day"

How to create the second five is the same pattern in reverse: lower left becomes lower right; upper left becomes upper right. The remaining squares continues the reverse pattern.

Why we did the reverse pattern is the get back to where we started to do 3rd five and 4th five.

All this work will set up the pattern to use coins to use this templatt as a school calander. How each family follows this is age dependant. There is little likelyhood any Public School students have ever been exposed to this: young students will likely only understand the way we count, Grade four up should be bored with the way to count, but should be interested in the concept of squares, Between the corners are the "intervals" one squared is still one, 1x1=1, two squared is four, 2x2=4 and three squared is 3x3=9. the last of the real numerals - zero is really a lpace holder.

Mr. Larry

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#1

Re: How and Why This Approach Provide Conceptual Number Sense

03/23/2013 1:20 PM

"There is little likelyhood any Public School students have ever been exposed to this:"

Larry, there's a very good reason for this.

No one in their right mind would try to teach small children such an illogical, complicated and useless "concept".

Your insistence that "your way" is "the right way" to teach number concepts is wrongheaded and just plain contrary.

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#2
In reply to #1

Re: How and Why This Approach Provide Conceptual Number Sense

03/23/2013 2:04 PM

I think I know where your ideology come from:Where you constantly miss the point is that Conceptual teaching is age / experience appropriate. There is some meat for every age. There are fifth graders who are not as advanced as fourth graders. I experienced that when tutoring gifted students at a Country Day school. My five 4th graders buried a 5th grade transfer from public schools. My experience tutoring GED is my drop outs from Public Schools said "Man - If they taught like that, I never would have dropped out". I have solid experiencce to back up my conceptual learning; in adddition to my 47 years of technology in Industry.

Mr. Larry

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#4
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Re: How and Why This Approach Provide Conceptual Number Sense

03/23/2013 2:29 PM

Larry,

You will find that you are playing to a tough crowd here.

The phrase, "If you can't dazzle them with brilliance, baffle them with BS" comes to mind in your case.

I hope you don't try to inflict your misguided "concepts on the, "fifth graders who are not as advanced as fourth graders"

I anxiously await any shred of support that may come from this forum. There are many here smarter than I, so I'll wait for them to confirm your genius.

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#3

Re: How and Why This Approach Provide Conceptual Number Sense

03/23/2013 2:06 PM

You are completely flipping crazy.

I have asked Admin to create a new category for thread rejection: Complete blithering insanity.

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#5

Re: How and Why This Approach Provide Conceptual Number Sense

03/23/2013 3:24 PM

Here's thought: The schools could go back to teaching math the way it was taught in the late 1950s and 1960s when I was taught math. Before 'new math' started the ruination of math in US schools.

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#6
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Re: How and Why This Approach Provide Conceptual Number Sense

03/23/2013 4:56 PM

Thank You, I agree

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#7

Re: How and Why This Approach Provide Conceptual Number Sense

03/24/2013 2:37 PM

I am still totally confused, even with all you have written on the subject (which seems to be overly complex for even me to understand).

Perhaps your brain is wired differently to mine and this all seems simpler than the current teaching of basic math.

What happens when you try and teach this to a child compared to standard math (what results have you had so far)?

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#8
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Re: How and Why This Approach Provide Conceptual Number Sense

03/24/2013 5:20 PM

Thank you Jacki for you Civilized comment! I do have a 6.75 year old Great Grand Daughter in the 1st grade. in the Kindergarten she learned her numbers and at the end of the year she could count to 100 - as long as you didn't interrupt her, and then she had to restart from the beginning. Her teacher sent home the following note mid semester: "I am often asked how a parent could help their student with Number Sense i think it would include five". That was the extent of the note. Mr. Larry was excited with the opportrunity to use coins. When she wanted something in a store we would use the autimated checkout. It came obvious she would come up with random right answers. Recently, while being in the 1st grade, she was collecting money for some cause that had a variety of prizes for the most collected, I got a roll of nickels and a roll of quarters. We dumped them on the bed and my only instruction was to count out five nickes at a time and one quarter at a time. She was aware that a quarter was worth five nickels. She counted out 40 nickels and sure enough she had 40 piles of five nickels. She recognized there were four quarters each dollar and therefore ten dollars worth of quarters. The piles of nickels were a little more difficult and Mr.Larry made a mistake.with five nickels per quarter four piles of five equals a dollar - and four times five equals twenty coins with twenty out of 40 equals twon dollars. she will look back on a "gotch ya". Money has become a bribe to at least pay attention to conceptual learning. At least some "gotch ya" day. Hopefully it will be in a lower grade than the fourth where she would 1st be exposed to making change.

At Mr. Larry's crossing, all ages of children are being exposed to 1=Monday; Two = Tuesday; Three=Wednesday; Four=Thursday and Five= "Thumbs Up". The only thing that can be said is that early exposure leads to Students who have not lost interest even ifr it takes time for the learning to become matured.

Mr. Larry

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#9
In reply to #8

Re: How and Why This Approach Provide Conceptual Number Sense

03/24/2013 5:40 PM

That was amazingly anti-conceptual, as well as illiterate and incoherent. If I had primary-school children, I wouldn't want that nonsense within 100 feet of them.

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#11
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Re: How and Why This Approach Provide Conceptual Number Sense

03/27/2013 6:13 PM

I am glad you do not have school age relatives

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#10

Re: How and Why This Approach Provide Conceptual Number Sense

03/25/2013 1:04 AM

'....and sometimes I hit them, but they keep coming here. I hope that they are happy, but when they are training, they never have a smile on their faces...'

That is a quote from this video

.

While I don't necessarily condone mechanical aggitation for every child correction/motivation, I would bet on these kids against the kids trained with your Double Purina Number Sense method....every time.

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