Home schooled children outpacing public school students

Examiner ^ | September 11, 2013 | Martha

[usalady]

Home schooled children outpacing public school students

Do you know there are 10 and 12- year-old students already attending college classes in America? It is happening every day as parents flee the public schools and instead educate their children at home.

[OneWingedShark]

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.

[kevao]

I occasionally pull out a calculus book for mental exercise myself (you can only do so much sudoko).

But calculus isn’t the only way to improve a child’s thinking skills. Most people I know who studied calculus way back when couldn’t even tell you what a derivative is anymore. So unless the kid is definitely bound for engineering or some physical science, the time spent learning calculus might be better spent learning something more applicable to his future avocation.

[arthurus]

We pulled two of ours out of a parochial school when it dumped Saxon Math in favor of a system that was opaque and required the teacher to explain every step. The teachers didn’t like Saxon because a child with moderate intelligence could teach himself from the book without intervention from a “teacher.” I don’t know about Saxon now since the family had to sell it away to a mainstream publisher due to inheritance taxes.

[LibsRJerks]

Perhaps someone should compile a book with profiles of homeschooled kids ....A “where they are now” book, to feature how successful many of them have turned out.

I’ll never forget a public school teacher neighbor of mine who was SO arrogant and dismissive of us. Her kids were maniacs, of course.

Another neighbor would repeatedly ask me ..”you’re not going to do that again next year, are you?

[PieterCasparzen]

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.

[arthurus]

Calculus is a tool of thinking most effective when young minds are learning stuff. Calculus and a foreign language or two, preferably a very different foreign Language like Mandarin or Korean. All of these things give a young mind different pathways, different approaches to perception and aid in thinking about, and problem solving in, all subjects.

[TurboZamboni]

[MrEdd]

Just saw a young lady the other day — she was 15. She could not SIGN HER NAME because they don’t teach cursive handwriting anymore.

To be fair, cursive now belongs in the history curriculum. It is no longer an everyday use skill and it has zero place in business outside of signatures.

They don't teach calligraphy anymore either, outside of some art electives. Exactly the same thing.

[OneWingedShark]

My homeschooled 13yr is doing Algebra II. He is advanced by 1 yr. in math. I can’t imagine him doing Calculus at this age.

You are slacking; algebra is easy and should be no trouble for a normal 10 year-old: as it is merely the extension of the basics of arithmetic with unknowns. Any marginally thoughtful individual could 'discover' algebra if they were trapped on a desert island and needed to manage supplies.

Calculus is a bit more of a mind-bender and ought to be taught young. Many of its rules are non-intuitive — like why should the area under the curve be related to the slope of the curve at that point? (Granted trig is a bear; but elsewise using calculus [after getting those non-intuitive rules down] is mostly just algebra.)

[polymuser]

All is going as planned by the adherents of The Frankfurt School (including public schools and teaching schools, teacher unions. government, media and churches).

[Navy Patriot]

You beat me.

[Windflier]

Yay for my team!

[Navy Patriot]

Home schooled children outpacing public school students

Surprise, surprise,....Yawn....

[OneWingedShark]

Your post is very good and deserves a good answer on each of these points.
The logic and legal points are, to me, the most troubling of all.
In my search for how to combat illegitimate statutes (that is contraconstitutional) I have discovered that the legal-system is tuned to force you to fight from the position of the accused, and therefore a position of weakness, instead of allowing a citizen to directly accuse the "law" itself.

[Windflier]

Well done, Pop.

[Geoffrey]

We used/use saxon math.

Initially we were looked down on by friends, family, co-workers. Initially. Now they make excuses for not home schooling or go to great lengths to explain how their school district is different.

No socialization problems, can communicate with all ages, no teen rebellion years...

All of our kids went to college (community) while still in high school.

[Windflier]

"Public schools are child abuse!"

I said that 10 years ago and all the FReepers who were keeping their children in public day prisons threw bricks at me.

Before I was a Freeper, I used to belong to a hard core conservative biker forum. You wouldn't believe the head-in-the-sand responses I used to get from others when I'd make the same point.

"Well, our public schools are different!"

Yeah right......

[SoFloFreeper]

Sorry, but the public school system is a wasteland. I urge anyone with kids to put them in either a good private school, or parochial school, or home school.

hslda.org is a good homeschool site. they provide legal help, too.

[coop71]

Why is this excerpted?

[grumpygresh]

No doubt, home schooling is also good for the parents’ brains as well.