Algebra

Written by Anthony Mixides


Algebra is a branch of mathematics in which arithmetic operations are generalized and applied to variable quantities and specific numbers. In our schooldays, we use algebra to solve polynomial equations, whereas professional mathematicians, physicists, economists, and computer engineers use algebra to study abstract mathematical structures withrepparttar properties of addition and multiplication.

Both elementary and higher algebra stipulate that only a certain number of quantities should be involved inrepparttar 105271 calculations, andrepparttar 105272 calculations should end after a certain number of steps. Both forms of algebra are abstract in nature, using letters to represent variables.

Modern algebra, which has been used inrepparttar 105273 20th century to solve so many mathematical and scientific problems, evolved fromrepparttar 105274 work ofrepparttar 105275 19th-century French mathematician, Evariste Galois. Many algebraic concepts, such asrepparttar 105276 theory of groups, have influenced fields such as quantum physics, whereas computer science is totally based on Boolean algebra. Psychologists and economists use matrices and linear algebra in linear programming.

However, before any child can dream of becoming a mathematician, economist, physicist, computer scientist, or psychologist, they have to study algebra in school. This is when most students learn aboutrepparttar 105277 various classes of numbers and also learn how to solve algebraic equations.

The Power of Praise

Written by Bridget Nolen


I could write a very inspiring essay about how powerful praise is in teaching. The stereotypical truth is, inrepparttar primary grades, in private and parochial schools, in ”good” public schools, praise is one ofrepparttar 105270 most important tools we have to motivate, and inspire, and promote success. However, I don’t want to ignorerepparttar 105271 fact that teaching and teachers exist inrepparttar 105272 inner-city, in impoverished areas where they lackrepparttar 105273 resources,repparttar 105274 support,repparttar 105275 parental involvement, and most importantlyrepparttar 105276 willingness onrepparttar 105277 part ofrepparttar 105278 children, to learn. Those teachers started out like many ofrepparttar 105279 rest of us. Young, enthusiastic, motivated, educated, prepared. While we can all agree that was our college education could not have prepared us for isrepparttar 105280 management issues we would face inrepparttar 105281 classroom,repparttar 105282 management issues that are faced by teachers inrepparttar 105283 “inner-city” are beyond compare in that they haverepparttar 105284 ability to cause “burn-out” quicker than others. The number one obstacle that these teachers face is motivation. The children lack it,repparttar 105285 teacher’s struggle with it, andrepparttar 105286 administration in many cases are failing to come through with it. When I spoke with a close friend about some ofrepparttar 105287 obstacles young teachers have discussed with me:repparttar 105288 pressure of parents,repparttar 105289 pressures of that “support team,”repparttar 105290 pressures of measuring up to other colleagues, I could tell that he thought we were going to have a very hard time furthering this discussion and relating to each other. We all feelrepparttar 105291 same about common stresses, especially in our twenties: a lack of direction or resources or curriculum, finding a balance between school and life, finding time to get it all in, finding out when to choose your battles, finding that “making a difference” was much different than you thought. But whether we want to face it or not, we can find strategies to work on those problems, they exist and are reachable after thoughtful reflection, education, experience and cooperation. Motivation though is something that must come from deep inside you. Once you lose it, it’s hard to teach it. When you think of all of things that motivate you, like a compliment from a parent or an administrator,repparttar 105292 support you receive from colleagues, orrepparttar 105293 look in their eyes when they finally get it and want to learn more…and realize that this friend of mine feels these things about one percent ofrepparttar 105294 time when I feel it half ofrepparttar 105295 time… I am then able to put in perspective how different and difficult our jobs are. Motivation isrepparttar 105296 single most important factor that inspires you to persevere. I am motivated byrepparttar 105297 children everyday. Many of my children run downrepparttar 105298 hallway to get to school inrepparttar 105299 morning, they are motivated to learn to read and write because they are just enthusiastic by nature at six years old, because they love me, because they want to please their parents, and because they understand it s a necessity. I can’t imagine what it’s like to go to work everyday at a place where no one wants to learn. I would think you wouldn’t have a fighting chance. So I asked him…what’srepparttar 105300 POA? He talked a lot about allrepparttar 105301 things he knew would work to improverepparttar 105302 situation. Number one being parents involvement and parent communication. He talked about how he felt like these children needed to get out ofrepparttar 105303 5 mile radius they feel trapped in and see there is more thatrepparttar 105304 world has to offer them. Maybe then they would understand that education isrepparttar 105305 ticket to a new life. He talked about howrepparttar 105306 middle school mentality doesn’t help. He explained his feelings on trackingrepparttar 105307 children and how it does not work. He called itrepparttar 105308 all too familiar self-full filling prophecy that is constantly fueled by these children environments. He talked about a lot of things that he wished he could do that are beyond his control. But that’srepparttar 105309 thing about teachers. I call itrepparttar 105310 perfect world syndrome. We are constantly hoping and working in an effort to makerepparttar 105311 world, if not a perfect, than a better place. Believing and dreaming ofrepparttar 105312 way things should be isrepparttar 105313 only avenue we have to making it happen. There are some things, he admits, that are in his control. He has found that external rewards sometimes work (another college myth- focus only on “intrinsic” motivation), he knows that it is important to be consistent with discipline and always appear in control, although he also knows that some kids will be motivated if they just like you, so you have to in some way try to relate. What I thinkrepparttar 105314 most important part of his POA is graduate school. He has seen what is working and what is not, he has a plan for what he would do differently, and what he would value as most important inrepparttar 105315 role of an administrator…because they have a bit more control in attaining that perfect world. He feels frustrated that he can’t makerepparttar 105316 difference with these children that he hoped he might, but he spent most of our “interview” talking aboutrepparttar 105317 times when he did feel like he made that difference. He showed me cards from parents and kids. He holds that sacred in order to persevere. You can’t changerepparttar 105318 world overnight, but by continuing to hope that you can, and in choosing to do what you can, you will sure make a difference. For myself, graduate school has also been a huge motivator. We learn in collegerepparttar 105319 importance of being lifelong learners and continuing our professional development. But as with everything its not until you experience it that you know it to be true. We feel energized after a day off to attend a conference or a seminar, especiallyrepparttar 105320 ones that are given by real teachers and provide you with those handy resource books that you can copy right out of. If we are inrepparttar 105321 right frame of mind then you can also feel inspired by other teacher’s ideas. Because I understand that praise is such a powerful motivator, I wrote this short piece for my graduate school professor to give to him atrepparttar 105322 end ofrepparttar 105323 my last class: After my fifth child told me that he forgot his homework I clap to getrepparttar 105324 kids attention and announce that “When Miss Nolen goes to school at night I have homework that is due in to my teacher. If I were to say, “my mom forgot to pack it” that is not a good enough excuse. As you get older you will have due dates and deadlines and keeping these dates is an important part of becoming responsible.”

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