Tag Archives: Math

Calculus

by DAVID BROWN | CLEARNFO.com | Jan 03, 2016

Math

Math

Now I have taken many math classes at the University: from linear & abstract algebra to Calculus 1-3, Topology and more but one day while in Advanced Calculus we had been studying a cut theory for weeks, trying to figure out the difference between a 1 and a 2, and it occurred to me how utterly simple and basic all this math stuff was conceptually; and that even a first grader could understand it; and in fact it is my opinion that we should teach Calculus to all our children in elementary school. To put this into context, I’m not saying we should teach them how to solve complex equations, derivatives or integrals. It is a fact that I was a lousy math student in public school since I didn’t have good number sense or a calculator. I made straight ‘Fs’ in math until I got to the University, where I made straight ‘As’. The difference? The higher you get into math, the less it has to do with numbers and the more it has to do with concepts. What I am saying, is that the concepts are so simple and profound that they apply to everything and should be taught to our children at a very early age. In fact I have taught all my kids calculus –without them knowing it—by the first or second grade. Simply put Calculus is magical, philosophical and depends on faith. It solves an ancient unsolvable problem of determining the exact area under a curve. It just says as you make each square smaller and smaller and as the size goes to zero the limit of the equation that describes the curve is exactly equal to this. Kids can get this stuff and see the beauty and usefulness of math.

Albalone shellserveimage
When you walk along the sea shore, you can pick up an Abalone Shell and tell your kids that if you had the equation for this shell, you could tell EXACTLY how many drops of sea water it would hold.

 

"a boy playing on the seashore"

“a boy playing on the seashore”

“I do not know what I may appear to the world; but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.”

–Isaac Newton (developed Calculus in the 17th century)


The unsung Magic of Calculus

On Mathematics…

October 18, 2009 at 11:14am

Mathematics…is man’s way of cutting up and compartmentalizing the world he is able to experience into digestible units and then describing relationships that seem to have some meaningful use. The result of this activity can produce useful understanding and some ability to control / manipulate our environment.

Recognize that logic has its limits. We can say if A = B and if B = C, then A = C and we can feel good about this, but on closer inspection no philosopher or physicist has been able to prove the a-priori in this argument (a priori: Latin phrase for designated in advanced; the usual statistical hypotheses are regarded as having been specified without reference to the data…). Someone must make the initial postulate to jump start any logical thread. The “if” is the problem. Our assumptions are the heartbeat of any argument or conclusion. With Quantum, we now assume that the world is fundamentally digital (discrete) not analogue (continuous) while everything is interrelated. Once our assumptions take hold, we become slaves to our assumptions and can no longer see clearly. Truth is a variable and evolves as well. You can teach a robot to go look into a mirror and write a thesis about what he saw in the mirror but who would say he possesses anything resembling man’s sense of self awareness? Schrödinger is one of my heroes but there is much more to this world than Schrödinger could ever imagine. Many men are deceived because they can hand out many names to many things and derive relationships of these named things believing as a result they have achieved some sort of ontological understanding of that thing.

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