HP 32S II 32SII RPN Scientific Calculator
Tuesday, November 29, 2011
Saturday, November 26, 2011
Tuesday, November 22, 2011
What Neuroplasticity Really Means
Neuroplasticity is a scientific term that refers to the plasticity of the human brain. Other terms you will hear that mean the same thing are cortical re-mapping and cortical plasticity. And though this term is largely scientific, its underlying mechanisms are much less complicated than the term implies.
When it comes to neuroplasticity, this term refers to functions that occur within the brain in order to enhance the overall productivity of the brain and its functions. Neuroplasticity then specifically refers to how neurons, the name given specifically to brain cells, how they change and are organized within the brain's system.
The cells in the brain known as neurons are arranged in a manner whereby they are all interconnected, and learning within the brain occurs when these interconnections are strengthened through changes. Plasticity is the term that refers to the strengthening of learning at the levels of connections, not at the cellular level. So in other words, when more connections are shared between neurons, or new neurons are added to existing connections, neuroplasticity will occur.
For many years, outside of the loss of neurons through brain damage or excessive toxins such as drug or alcohol use, it had been believed that our brain was incapable of changing. That it was a fixed entity that could not grow or strengthen with time, outside of the natural course of growth and development. No longer is this believed to be the case, with neuroplasticity research showing that the brain is in fact a "plastic" entity if you will, that is capable of changing and growing when met with the right variables.
It is now believed that environmental changes can alter an individuals' cognition and behavior. Cognition refers to the notion of thought processes and thought systems. So if we now know that environmental elements can change, or mould the plasticity of the brain, we can use this as an effective tool in the treatment of psychological disorders and dysfunctions. This is particularly interesting when it comes to disorders and dysfunctions that are caused by faulty thought processes, because if the brain is plastic enough to strengthen and grown through external changes, then we can use neuroplasticity to mould an individual's thought processes and change or alter any psychological impairment they may be suffering from as a result.
Sunday, November 20, 2011
Adding Algebraic Fractions With Different Denominators
In this lecture you will learn how to add three algebraic fractions with different denominators.
The 'one-line' mathematical expression syntax that we have to use here is a little cumbersome, so if you want it converted to a pretty-looking 'text book' notation, you can do so by using the conversion tool available on this algebra resources page.
We will solve the following problem:
2/(x-2)-3/(x+2)+1/(x^2-4)
As you can see, there are three fractions here. You can also see that the denominators are all different (duuh!). The first step in adding fractions with different denominators consists of finding the Least Common Denominator (LCD). In order to be able to do that, we must have all denominators factored. There is nothing to factor in the first two, so that leaves the third one:
2/(x-2)-3/(x+2)+1/((x-2)*(x+2))
We have employed the 'difference of two squares' formula:
a^2-b^2 = (a-b)*(a+b).
In this problem "a" was equal to "x" and "b" was equal to "2" (because 2 squared equals 4).
Now it should be pretty obvious what the LCD is - it has to contain all the factors found in all denominators - and that would be this expression: (x-2)*(x+2).
Once we know the least common denominator, we create the numerator in the following way:
- divide LCD with each fraction's denominator and multiply the result with the corresponding numerator. Add all these terms and voila, here is your new numerator:
((x+2)*2+(x-2)*(-3)+1)/((x-2)*(x+2))
The rest of the process is easy - we just need to simplify the resulting numerator. First we multiply out these two terms: 2(x+2) and (-3)(x-2); don't forget the '-' sign in front of number 3!
((2*x+2*2)+(-3*x-3*(-2))+1)/((x-2)*(x+2))
Then we get rid of the parentheses:
(2*x+4-3*x+6+1)/((x-2)*(x+2))
And finally add the like terms:
(-x+11)/((x-2)*(x+2))
At this point we are done (keep in mind that in some more complex problems, you will need to factor the new numerator and try to reduce it with the denominator). We leave the denominator factored, as that form is usually considered simpler.
So, how hard was this ?
A few more lessons, and you will be on your way to better algebra grades...
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Wednesday, November 9, 2011
Ti-83 Graphing Calculator - Why So Popular?
Texas Instrument has designed a calculator that dominates the educational community. Highly rated on its ease of use, the Ti-83 Plus allows students to graph, compare functions, and perform data plotting and analysis. All high school taking pre - algebra, algebra 1 and 2, trigonometry, statistics, biology, physics, business and finance classes all require a graphing calculator. Important standardized testing also requires the Ti-83 Plus; including SAT, PSAT, AP, ACT and Praxis. Additionally, this calculator has abilities of sequential graphing, function, polar and parametric. It is plain and simple, if you are a high school student the Ti-83 Plus is right for you.
The Ti-83 Plus is the Texas Instrument 1999 upgrade from the Ti-83. The greatest improvement to this calculator is Flash ROM. There are two kinds of memory in a graphing calculator; they are ROM (Read Only Memory) and RAM (Random Access Memory). ROM is memory that cannot be changed, RAM which allows you to change the memory, if the graphing calculator loses power, RAM might be lost. With Flash ROM, you can install applications and user files to your calculator. Organizers, day planners, editing spreadsheets and multi-user functions are some of the applications that can be down loaded to the Ti83 Plus. Flash ROM also allows for O.S. (Operating Systems) upgrades allowing your calculator to remain up-to-date and functioning at the highest quality.
The Ti-83 Plus comes with many preloaded applications to aid your calculations. Each application is designed to make it easier for students to learn and succeed. The following are complimentary pre-loaded Ti-83 Plus applications: Probability Simulation Application (used for testing ratios), Study Guide Application (used to make electronic flash cards), Science Tool Application (used to unit conversion) and Vernier Easy/Data (used to make data collection faster and simpler).
While the Ti-83 Plus is primarily an educational tool, now it can be used for entertainment as well! The Ti-83 Plus allows users to download games, both educational and recreational. There is no better way to get a student excited about their calculator than to add an element of fun. The Ti-83 Plus has a great selection of categories to choose from: arcade games, board games, casino games, educational games, and sports games - to name a few. Frogger, Black Jack, Chess, Game Ball, Arithmetica, and Baseball are just a sample of the popular games you can add to your Ti-83 PLUS.
Though it is easy to see why this is the most popular graphing calculator, there is still more! The Ti-83 Plus has all the features to be used as a scientific calculator, allowing middle-school/junior high school students can use this too. Even better, the Ti-83 Plus is the popular graphing calculator in college courses including: mathematics, statistics, biology, physics, business and finance classes. That is 10 years of school, covered with one Ti-83 Plus! With the Ti-83 Plus, you can accomplish all of your calculating needs and you are sure to get your money worth.
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