Numbers
never change. You can calculate them to infinity. Making formulas from just
numbers has no real significance or value because they do not truly represent
the substance being calculated. The only way to obtain the real answer to any
equation is to determine by qualitative measures the value of each number
represents as it relates to its many deviations from the original value.
Any human
being with enough brain power can memorize numbers, formulas, and calculations.
There are many savants who have unbelievable ability to remember every number
alone or in calculation. However, when many are asked to provide the real value
of the data set, it suddenly becomes a word problem and to them is difficult to
calculate.
When people
calculate the equation 2 + 2 = 4, I think there may be an alternative value
other than four. The 2 can be a representative value. It can be (2) 1,000’s
which would be 2,000. It is an algebraic language in a conversation or
situation where two people may be talking about a subject and wish to calculate
the expansion of its value. 1 + 1 = 2. So, if you let the one be one value and
the other one represents a different value, two is the combination of different
values. 2 + 2 =?
2 + 2 may be
4 different values combining, but rather it is two of one thing or value
combined with two of another value. Two birds plus two cats do not equal four
birds or four cats. You see? Rather, the four in your value set is animals
which equals four. If you have two birds plus two coins, however, what is the
equal value on the other side? The two coins can each be of different value, a
quarter, and a dime. They are still coins. The two birds can be different
species.
Mathematicians
focus on number sets and values during calculation. In the real world, however,
must be taken into consideration the subject matter in relation to how many are
being calculated because the addition of two values can increase substantially the
equation so that a combination of a possibility of up to four different values
is not equal on each side of the equation.
Take a
helium balloon, for instance. The balloon is just an empty vessel before adding
helium. It increases capacity (balloon), and it also changes capability. Unless
you throw an empty balloon into the air, it does not float. So, you can have a
balloon without helium or air and one with helium or air and still have two
balloons. Only their capacity may be different. One balloon may pop if it is
filled to its breaking point, which cannot be calculated at all, faster than
the other balloon.
So, even
with no helium in either balloon are they different value? One is possibly
better than the other and may hold twice as much. Therefore, that balloon is
twice the value of the other balloon, which = 3 + _; 3 balloon values, even
though there are only two balloons. 1 balloon a regular value and 1 balloon at
twice the value = (3 + 2 = 5)! So, if you are simply calculating numbers for
the sake of numbers, 2 + 2 = 4, you’re correct. However, when calculating real
items how many on one side of the equal sign is entirely equal to the other
side? You still only have two balloons plus two balloons or something else
different, but they may not equal four items.
A helium
balloon = twice the non-helium balloon = three, not two, when calculated
together. One balloon could have a hole in it. Is it or does it have the same
value as the one with helium in it? It is worthless as a value as a balloon in
the equation. It has no relevant usable equal value to the other helium filled
balloon. Can you still call it a balloon? You must calculate its worth in the
equation. Yes? Can you patch the balloon to make its value increase to the
value of the other helium balloon’s value? No. Then how are two balloons the
same value of two. The balloon with the hole in it actually decreases its value
of even 1, making the equation now 1 + 2 = 3, not 2 + 2 = 4.
The balloon
is still considered a balloon. It was manufactured as a balloon, but the value
of the balloon has changed the equation. So, even if it is present as a number
value alone on the one hand = 2 balloons, you can really only say you have one
balloon in your hand = 1 balloon. Using this theory, it is clear that mathematicians
have been using numbers to calculate or formulate and solve a problem without
proper representation of the values. Word problems also do this as many do not
have clear word values for the calculation either. The math trigger words for
calculation are still based on just calculating the number system of
calculations because mathematicians know that to increase the explanations
required to combine, formulate, or calculate a word problem like this is
unrealistic and almost impossible for people to comprehend unless they examine
the word problem at length. Many so-called math word problems are simply meant
to make you frustrated beyond imagination as they are a trick to make you feel like
a complete idiot. In the end, they still do not adequately value anything
numbered.
Certainly,
teaching word problems in a classroom setting would be taxing to most as it is
confusing to the student. There would necessarily be a separate study for math
students to explore one word problem at a time to make sure the complete and
accurate equation results in the correct answer. An English student, even just
K-12, does not care one way or another. They are not all math oriented and
punishing them for not understanding an equation or word problem is fruitless
and abusive teaching standards. It is more productive for society to limit any
math taught to children to the basics eliminating all equations except for the word
application necessary to calculate real world scenarios.
As everyone
knows, you can teach addition, subtraction, multiplication, and division as a
basic concept, but we are in the technological age and the calculator use
should be taught along with the basics. Most people never use algebra or any
other mathematical equations in real life. It is useless as a study for them. A
huge waste of time and effort. And the worst part is that educators have been
evaluating students based on their ability to memorize text or numbers, which
is discrimination. Some students are simply horrible test takers. Or they may
be interested in food, or music, or anything other than math. That is okay.
The core classes’
standards limit progress for not only the student, but also society as a whole.
Put bluntly, parents pay through the nose to educate their child using standard
teaching methods that dumb-down, frustrate, stress-out, and depress their
child. Do you really want to pay for their failure? If not, then it is up to
you to change the status quo, the mandatory education system in this country by
contacting your representatives, voting for those who understand what I am
talking about and what you care about can change the way our children are
educated. Your vote is important and counts.
It matters
what you are valuing and in what condition or use value is attached to each
number to calculate the true equation. Just saying 2 + 2 = 4 is useless. You
have two folding chairs that look exactly alike and are from the same
manufacturer. However, one may be stronger than the other and hold more weight.
Are they the same value now? They must both perform the same task, but there is
no guarantee that one of the folding chairs will not break under the same
pressure as the other. Are they equal in counting them in a mathematical
capacity only? Or must you take into consideration that in certain
circumstances one has a greater failure rate than the other?
What has
been happening in the education of math is that mathematicians have been
calculating number values for pure numbers with no real value attached and
calling it a formula. Sure, you can calculate a trajectory or mechanical
application to a degree then tweak the equation to produce a satisfactory
result. But, as a thought, even the calculations NASA scientists made sending a
vehicle to push an asteroid moon out of its orbit, was a huge miscalculation.
All math majors know that for every action there is an equal and opposite
reaction.
The
mathematicians failed to calculate the repercussions or future movements that
happened after pushing something from its orbit. How could they? Did they know
exactly how the orbiting moon affected any other objects or orbits? No. As they
say, what comes around goes around. Impact statements cannot calculate whether an
impact far away will not someday impact our planet. Horrifying! What were they
thinking? Oh, yeah. They wanted to prove they could perform enough calculations
to make it happen without considering the possibilities of dangerous wobbles (the
moon asteroid is not uniform) or if the impact set off an explosion from their
unknown variables called unseen gases. Whoops! It shoots off into space. Oh,
well. We did that, didn’t we? Uh, now what? Uh, we…don’t…know? I wonder at what
true cost…later.
The concepts
of math do need to be taught to interested students, especially if they want to
go to work for NASA. What I am attempting to highlight is the possibility that
qualitative number valuation has been ignored until the master’s or PhD level
in many courses because just understanding how to add two things to two other
things does not cut it. Even if the concept of word explanations of values is
studied, oft times the complete calculation of the value goes unrepresented
because for most it is cumbersome and confusing. Numbers calculated without
representing something tangible are worthless. When adding one or more things,
there must be an objective on the other side of the equal sign, not just a
simple counting of the items involved, or you have a wrong answer to the
equation.
Therefore,
the entire numbers formula is incorrect. To attain a real formula that solves a
problem, you must perform a qualitative math function to explain every number
value. For instance, you know the sides and size of a triangle and can
calculate its capacity, but can you calculate its ability to withstand internal
pressure without calculating by words or known values of the material making up
the triangle and its ability to contain mass?
Take two
triangles both the same size. To achieve the correct capacity of that triangle
you need to know the material makeup of that triangle. The capacity for a
triangle made out of balloon material is different than one made from titanium
steel. Helium can be increased inside the balloon triangle but has limited
amount in the steel one. The two triangles are NOT of the same capacity inside.
In this way, math is better and more truly calculated. If not, there are
irreparable consequences, such as adding two people (one male and one female)
to two other people (both female) and explaining on the other side that there
are simply four people. It matters if one is male. He cannot birth a child.
Finally,
what are you calculating and why? The intent is important to consider. It
matters in every math equation, even 2 + 2 = 4. Teaching math students the
qualitative explanation and exploration of impacts caused by differences in any
one value gives a truer result. 2 + 2 = ? is just a theory, but it may have
real implications in mathematical equations and calculations. Word or
qualitative functions may be best left to math students or scholars because of
its complexity. For those performing number only calculations who think you are
a whiz at math, I challenge you to break it down to qualitative real-world
values. I submit that you will feel humbled by the process and possibly
challenged to provide a more accurate tangible realistic solution.
Numbers go
on for infinity. Numbers never change. If you can remember every single number,
formula, or calculation using any number then good for you. What is really
impressive, though, is your ability to apply complete true value to each
numerical system and then formulate the numbers representing qualitative values
for the rest of us who really don’t care unless you get it wrong.
Copyright ©2+2=? Theory,
March 16, 2023, April Graves-Minton. All Rights Reserved.
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