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Maths rulez !
Are there numbers around us ?
Like words and images are ?
How much math are there in a pancake ?
THIS SESSION WAS STOPPED IMMEDIATELY AFTER DROP OF KID'S ATTENTION.
Nine.
Twelve.
Look up! ... A hundred !
THIS SESSION WAS STOPPED IMMEDIATELY AFTER DROP OF KID'S ATTENTION.
Seventeen.
Twenty.
Nineteen.
Twenty three.
Twenty five.
Eighteen.
Twenty one.
Twenty two.
Twenty six.
Twenty four.
Eighty five.
Eighty six.
Eighty seven.
Eighty eight.
One.
Two.
Three.
Ninety nine.
A hundred.
The whole set.
Zero.
A variable that can be represented like this [y].
Division, multiplication, multiplied by,
minus, plus, plus, plus, minus, minus
divided by, divided by, divided by, multiplied by, plus,
equals,
multiplied by,
(Mike) Dad, is this EKS ?
(Mike) This one ?
(Dad) This is ... this is a symbol of multiplication.
(Dad) But ... this is also a letter EKS. Yes.
(Dad) And this is, if you look at it like this, this is PLUS.
(Dad) This way it is MULTIPLIED BY which means EKS and this way it is PLUS.
(Dad) A symbol of addition.
A symbol of inequality ... NOT EQUAL.
For example four is NOT EQUAL to five.
We have some of those symbols too.
Then we have, for greater than and less than, LESS THAN
Or ... GREATER THAN
Remember that GREATER THAN and LESS THAN ...
... we see the other way around
(Mike) Dad, And what is this ? This ? (Dad) so if you practice using mirror just be carefull
what is less and what is greater.
This is a symbol of inequality which means NOT EQUAL
For example ... look ...
... twenty four ... is not equal to ...
... twenty one.
Twenty four is NOT ... EQUAL TO ...
... but greater than twenty one.
(Mike) And this ? What is this ?
(Dad) This is the symbol of substraction.
(Dad) You can see here, for example,
(Mike) And this ? (Dad) This is the symbol of division, DEVIDED BY.
(Mike) And this?
(Dad) This is the symbol of equality,
This is the symbol GREATER THAN ...
... for example ... twenty four
is greater than ... twenty one
(Mike) And this ? (Dad) And this is the symbol of equality
for example ... twenty one, look, equals ...
... look, Mike ...
(Mike) And this, what is this ?
twen... this is the symbol of equality...
if something is equal then ... it is equal ...
so ... twenty one ...
look here ... equals ... Mike ...
twenty one, see ?
Twenty one equals twenty one.
If the two sides are equal
then you put this sign in between them
For example like this.
four
nine
sixteen
twenty five
thirty six
fourty nine
seven
nineteen
thirty seven
sixty one
this four equals this four
then we have the set of one hundred and one cards
a hundred
ninety nine
ninety eight
ninety seven
ninety six
ninety five
one
two
three
zero
nineteen
eighteen
twenty two
twenty six
twenty
[the other side of the card]
sixteen
twenty three
seventeen
twenty five
fifteen
What happens ?
if in a set of
five cards
we add two new cards daily ?
Today we have a set like this: one, two, three, four, five,
four, five are new today,
because we add two new cards daily.
Tomorrow we'll have a set like this:
three, four, five, six, seven,
and six, seven are new.
The day after tomorrow ... we'll have a set like this:
five, six, seven, eight, nine,
eight, nine are new
then the fourth day:
seven, eight, nine, ten, eleven.
Every day we show each set three times
which means six sessions daily, two sets, five cards each
If we change two cards daily in a five card set
then ... watch carefully ... surprise ...
Your Kids will surprise you with such observations
How many times the five was shown ?
one,
which means three sessions times one which equals three altogether
day two ...
three sessions times the five ...
which equals six altogether
and the day three ...
three sessions times the five which equals nine altogether.
The day four there is no five.
Question two: how many times the four was shown ?
(Mike) Dad !
(Dad) The day one: the four,
as new,
which is three sessions - three times
[to Mike] I'm coming !
The day two: the four, not new any more,
also three times which is six altogether,
(Mike) Dad, I've eaten so much with the peel!
(Dad) Great ! You see [laugh] and ... was it tasty ?
(Mike) Hmmm.
(Dad) Great, very nice. [laugh]
The day three - there is no four.
Odd numbers will be shown
three times three sessions
which is nine
And even numbers will be shown
two sessions times three which is ... six
One third less.
Generally that does not matter much.
You can show six cards during one session
and in such a case everything will be shown the same times
three sessions times three times a day - nine
Look, there will be few new
twenty one
twenty
twenty six
twenty eight
thirty
twenty three
... ta daaa ...
twenty five ... greater than eighteen
sixteen ... is not equal to eighty eight
[whistle of delight] twelve equals twelve ... ha haa!
thirteen equals thirteen
eighteen is less than twenty eight
and this is the most interesting ...
... eighty eight is not equal to eight [sound of kiss]
(Mike) [from swinging tyre] Attention !
(Dad) If the Child instead of this symbol
will, for example, start shuffle the cards and will do something like this
... in most cases we say: "bad!, what are you doing?!, you don't know?!"
and we surely say it at school
[...] different symbols were used
(Dad) Have you seen it ? (Mike) How loooong !
(Dad) How loooong it is ! [laugh]
Yep, this was the way they wrote equal sign years ago.
But not for long, you know, wasn't adopted,
I guess people didn't feel like
touching the paper with the pen for so long.
Do we write it like this,
we or actually our Children,
or we turn the sign like this,
do we put the sign in the middle of the equation,
or at the end, at the beginnig or below,
It actually does not matter at all.
(Mike) This is EKS !
(Mike) This is EKS ! (Dad) [...] nobody ever looking before, Energy hidden inside matter.
This is EKS, of course, at this angle this is EKS,
and if you turn it like this - plus sign ... up to what we agree
I do recommend [showing the book cover]
(Mike) And this one ? ... Nine [talking to himself]
(Dad) For those of you who thinks that ...
... mathematcs is obvious [showing the long card]
Most of maths is a question of earlier agreement.
Unless you show dots, in this case - not. (Mike) Watch up ! [tossing cards to Dad]
Assume that Child puts down cards or writes down something like this:
thirty equals seventeen plus five
What do we say ?
"No good, bad, you haven't learnt,
that's not true, what do you think you're writing here ?!"
Then come the logic ...
... and we show examples of sentences.
A set of three numbers: one, two, seventeen
is a subset of a set of natural numbers.
True sentence.
And as an example of a false sentence we show something like this. [showing the card]
The Child can see the same fact that he was scolded for earlier
... and what does he do ?
Stops loving math ...
... and the teacher.
The best method,
no matter who of you can understand math better - you or your child,
is to let the Child mix freely all the numbers, symbols,
and everything that is available
and if we are able to comment
on such an equation, put down by Child
we do comment. We can say
that this is a false sentence.
"Great ! Nice sentence you've made - false sentence."
We can write it down again but crossing the equal symbol.
If not - let the Child do it his way and let us go ahead.
This is maths too.
Twenty three is less than eighty eight plus eight.
Thirty one equals thirty two minus one.
Thirty five plus thirty eight is not equls to fourty eight.
[an equation arranged by Mike]
[another one arranged by Mike]