Tuesday, May 12, 2009

Math Woes revisited and relieved

Well, once again, after giving it some time and allowing myself a clear mind, I got it.
Those Truth Tables aren't really as hard as I was making them out to be.

Can you believe that my error was an error in reading?.... Ya, go figure...haha
In the text, it explained the order of operations, and listed out a hierarchy to follow. I assumed that since the items were listed in numerical order from 1 to 4, that this was the order you utilize the connectives....My bad!!! It's actually the other way around...haha..
Go figure, that a person who would rather read a 5000 page novel than complete a 4 chapter math lesson, got hung up by misreading something...HA

SO, just like I learned in Pre-Algebra, back in 7th grade, you work the parenthesis first....of course;)
While in th (), you negate anything that has a ~ before it, then plug in the values for the junctions (the carrots...both of them), after that you move on to the conditional (single headed arrow), then the biconditionals (double headed arrow).

It helps if you use different colors, or lowercase then uppercase letters, or some other visual way to show yourself which step you are on. For me, this helped a great deal, because after filling in a column, I got lost, and had to start back at square one, looking over each step, until I figured out where I was. Not everyone will need this, but visual learners will see the benefits.

I wrote the first steps (just the basic truth values for each variable in the statement) in lowercase letters. Then I used capital letters for the second steps. I Underlined these columns so I could spot them more easily when working the next steps. Then I circled those columns so the final connective would be easier to recognize.

Another thing that was tripping me up was the order I put the Ts and Fs into the left columns. I finally ended up looking at an answer to figure it out, because I was utterly lost. Just remember, 4 T's, 4F's, then 2T's and 2Fs 2 times. Then the last column will be Ts and Fs alternating.
I hope there's never a need to have 4 variables, because then I will be searching in the dark again till I find another simple remedy:)

Well, now it's another week, with four new chapters to learn and ponder. I'm sure I'll be back with more woes and what nots. But if not, feel free to comment on this one with any new ones that come up for you!!!

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