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To: OneWingedShark
Kids should be learning Calculus by age 12.

Why? How many people would ever use it?

4 posted on 09/11/2013 4:29:10 PM PDT by St_Thomas_Aquinas (Isaiah 22:22, Matthew 16:19, Revelation 3:7)
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To: St_Thomas_Aquinas
Why? How many people would ever use it?

Learning calculus helps improve your thinking skills. Most people I encounter on a daily basis could use some help in that department.

9 posted on 09/11/2013 4:34:23 PM PDT by twhitak
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To: St_Thomas_Aquinas
I use it sometimes -- but you'd be surprised at the places calculus turns up.
You can use it to, say find the area under an overpass that needs paint.

From wikipedia's Calculus entry:

Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired. It allows one to go from (non-constant) rates of change to the total change or vice versa, and many times in studying a problem we know one and are trying to find the other.

Physics makes particular use of calculus; all concepts in classical mechanics and electromagnetism are interrelated through calculus. The mass of an object of known density, the moment of inertia of objects, as well as the total energy of an object within a conservative field can be found by the use of calculus. An example of the use of calculus in mechanics is Newton's second law of motion: historically stated it expressly uses the term "rate of change" which refers to the derivative saying The rate of change of momentum of a body is equal to the resultant force acting on the body and is in the same direction. Commonly expressed today as Force = Mass × acceleration, it involves differential calculus because acceleration is the time derivative of velocity or second time derivative of trajectory or spatial position. Starting from knowing how an object is accelerating, we use calculus to derive its path.

Maxwell's theory of electromagnetism and Einstein's theory of general relativity are also expressed in the language of differential calculus. Chemistry also uses calculus in determining reaction rates and radioactive decay. In biology, population dynamics starts with reproduction and death rates to model population changes.

Calculus can be used in conjunction with other mathematical disciplines. For example, it can be used with linear algebra to find the "best fit" linear approximation for a set of points in a domain. Or it can be used in probability theory to determine the probability of a continuous random variable from an assumed density function. In analytic geometry, the study of graphs of functions, calculus is used to find high points and low points (maxima and minima), slope, concavity and inflection points.

Green's Theorem, which gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C, is applied in an instrument known as a planimeter, which is used to calculate the area of a flat surface on a drawing. For example, it can be used to calculate the amount of area taken up by an irregularly shaped flower bed or swimming pool when designing the layout of a piece of property.

Discrete Green's Theorem, which gives the relationship between a double integral of a function around a simple closed rectangular curve C and a linear combination of the antiderivative's values at corner points along the edge of the curve, allows fast calculation of sums of values in rectangular domains. For example, it can be used to efficiently calculate sums of rectangular domains in images, in order to rapidly extract features and detect object - see also the summed area table algorithm.

In the realm of medicine, calculus can be used to find the optimal branching angle of a blood vessel so as to maximize flow. From the decay laws for a particular drug's elimination from the body, it's used to derive dosing laws. In nuclear medicine, it's used to build models of radiation transport in targeted tumor therapies.

In economics, calculus allows for the determination of maximal profit by providing a way to easily calculate both marginal cost and marginal revenue.

Calculus is also used to find approximate solutions to equations; in practice it's the standard way to solve differential equations and do root finding in most applications. Examples are methods such as Newton's method, fixed point iteration, and linear approximation. For instance, spacecraft use a variation of the Euler method to approximate curved courses within zero gravity environments.
Seriously, it's likely you're using it (or something based on it) in everyday life.
21 posted on 09/11/2013 4:46:44 PM PDT by OneWingedShark (Q: Why am I here? A: To do Justly, to love mercy, and to walk humbly with my God.)
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To: St_Thomas_Aquinas; OneWingedShark
Kids should be learning Calculus by age 12.

Why? How many people would ever use it?


I had calculus in 12th grade about 30 years ago.

Teachers simply made sure that learning was by rote and boring for all but a chosen few students.

Nowadays I find myself touching on higher math subjects in my work.

And it becomes painfully clear that the whole point of public school is to allow most student's educational process to turn off.

Indoctrination is pursued instead. Unless a student proves too stubborn and streetwise to it. In that case the student is simply ignored as much as possible.

In holding young students back, it's not so much what the teacher does, it's what they don't do. They simply stick to the textbook, page by page, without ever stepping back and getting the student mentally organized about the big picture of mathematics. A conservative student shows promise - actually exhibits signs of being very bright ? Don't dare ever take that kid aside and turn him on to all the various fields of higher math.

If you take a really good education and compare it to public school, public school is just the opposite.

Learn by rote, learn facts only, learn the left-wing version of the facts, add in some indoctrination to new world order myths, etc.

Don't dare ever teach logic. Do not ever give an overview of the Bible, then proceed on to philosophy, so the student can see where the "philosophers" are going wrong in so many ways. The student instead must only be exposed to the mythical version of American history according to new world order, so these myths can be used to create the student's own mental foundation for morality.

Stay clear of any situation where the student might start exploring and learning on their own. Keep them going from quiz to quiz, test to test. Make sure to babble in a monotone and have "teacher's favorites", so any bright kids will basically fall into a holding pattern, waiting to graduate.

Also, don't ever discuss accounting, i.e., a profit and loss statement and a balance sheet. Students might start understanding debt and equity.

Never teach anything about the law. Almost all of the population will be completely ignorant of legal principles, and thus be easy to control and mess with, legally and financially.
25 posted on 09/11/2013 4:49:41 PM PDT by PieterCasparzen (We have to fix things ourselves)
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To: St_Thomas_Aquinas

I am not agreeing that all kids at 12 should be learning calculus, but there is more to learning than being able to use the content... learning calculus or geometry, Latin, music, logic all teach you to think a certain way... almost like learning a new language... it is valuable... unfortunately, so much of modern education is utilitarian...


47 posted on 09/11/2013 5:29:16 PM PDT by latina4dubya (when i have money i buy books... if i have anything left, i buy 6-inch heels and a bottle of wine...)
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To: St_Thomas_Aquinas
Kids should be learning Calculus by age 12.

Why? How many people would ever use it?

Maybe we'd have more engineers and fewer lawyers, lobbyists, and welfare cheats.

55 posted on 09/11/2013 5:50:27 PM PDT by EricT. (Freedom is slavery. Ignorance is strength. Big brother is watching you.)
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