Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

I Need Help With Math!

>> Tuesday, January 25, 2011

Math. The ultimate torture for most people. Many of us struggle with multiplying numbers, solving algebra, finding angles, and more. In fact, just talking about it makes some people's heads spin. With the right techniques, math can be a less painful experience.
To get better at math, the first step is to read the section in the textbook that you have problems with. Look at the examples and see how the authors solve the problems, step by step. After getting a feel for the math, work out some easy problems. Make sure you check your answer after finishing each problem. There is no point in continuing to the next problem if you are getting the answers wrong.

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Sometimes the book may have a few problems that show the full step-by-step solution.
If solving problems does not help you out that much, you should look for a math tutor. Usually peer tutors can be found at your school or college. These tutors are usually students - people who have been through the same class as you. They will likely know better techniques than your teacher on how to approach the math. This is an opportunity that most students pass up because they are afraid they will be laughed at. If you take tutoring, you will have better grades than if you hadn't went.
Watching videos of people doing math is also a great way to help you get in the problem-solving mindset. It is similar to tutoring, but you can watch them wherever you have access to internet.
Finally, an online study community is another great way to learn math. You can ask for help or answer other people's questions. Both contribute to learning. In fact, teaching someone else strengthens and reinforces your understanding of the material.
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Discover the Secret to Learning Math

Many people believe that you have to have a knack for math in order to do well in it. However, understanding the basic principles of math does not need any innate talent, or a genius intellect. What
it does need is a change in attitude, and a solid foundation of basic skills on which to build.
Mathematics worksheets can help you provide your preschooler with a solid grounding that will help them conquer math.

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Not a big secret to most parents, but sometimes we are unaware of the influence we have on our children. How often have you sat faced with a list of figures - balancing the check book, credit card statement or filling out tax forms - and muttered about how much you hate math, how hard it is, how you just don't have a head for math? You need to stop yourself right now! What you are telling your child is that math is a horrid chore, a difficult task, and one that you either have the talent to do, or you don't. You are making your child anxious about a school subject that they will have to do for many years - and a skill that they will need for the rest of their lives. Secondly, get your child interested in math from an early age. Math does not have to be about columns and columns of figures, and the sooner you can introduce your child to math in a fun way the better. Mathematics worksheets can help you do this, with pages of fun exercises that will teach your child the basic principles they need. This helps you, as you don't have to write out pages of math exercises and try to make them interesting - it also helps your child. A good set of kids math worksheets will present math in an exciting way, incorporating lessons of quantity, counting and writing numbers in a way that children understand and relate to. Mathematics worksheets should use different methods to teach your child the principles of addition and subtraction to make sure they understand the concept, not just learn the answers by rote. A decent set of worksheets will use step-by-step methods to help your child progress from the first steps in number recognition and counting, to more complicated sums and word problems.
There are many math-based games available in educational toy stores that will help to reinforce the principles your child learns in worksheets. Computer games can help too, but depending on the age of your child, it is best not to encourage too much computer use at an early age. Everyday activities can be turned into math lessons too. A trip to the grocery store can turn into a math lesson if you encourage your child to help you count how many items you are buying, or add up the bottles of milk as you add them to your cart.
Your aim should be to make math fun for your child and help them gain a solid understanding of the basics. Encourage your child to incorporate math into their daily activities, help them do mathematics worksheets, and then use the lessons therein to create fun activities for your child.
The secret to learning math is to have an open mind about it. Just because you hated math doesn't mean your child should, and you will be doing them a disservice if you pass your negative feelings on to them. Make learning math fun, get a comprehensive set of mathematics worksheets to make it exciting and stimulating, and encourage your child's efforts all the way. Every math genius had to start with 1 + 1, just like your child.
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Tips For Using A Graphing Calculator

>> Sunday, January 23, 2011

When students get to the more advanced math classes in their high school careers, they are typically required to purchase a graphing calculator. These calculators are unlike any tool they have used before, and can truly be compared to handheld computers. Before it becomes too overwhelming, students should consider a few tips for using their graphing calculator.
Before getting started with the graphing calculator, students should understand that this piece of equipment is far more advanced than what they have previously used. They will use it to solve entire problems and will spend a great deal of time staring at the screen. That is why they should first set the brightness and contrast settings to a level that will be comfortable for their eyes.

Download Exam Drill of Mathematics for Senior High School



The most important thing a student can do to be successful with their new graphing calculator is to read the manual. There are many more keys on this calculator than the average model, and it is important to be familiar with them all. If this seems like too much to handle, they may want to make a cheat sheet with the most important key functions on it.
All of the keys on the graphing calculator are very useful in math class, but there are a few that will be used on a regular basis. The first key to become familiar with is the exponent key, which quickly solves any number to any exponent. When a student first purchases a graphing calculator for math class, they may be overwhelmed by everything it is capable of doing. The best way to become comfortable with it is by reading the manual and understanding all of the functions.
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The Math Portion of the Police Exam

The math portion of the police civil service exam is one of eight parts to the exam. Although the success rate on this portion is high, it is often the one portion that provides the most difficulty. There are several online resources that can help you brush up on your math skills before taking the police entrance exam. The best online resource to improve your math in a relatively short time is Math.com.

Download Exam Drill of Mathematics for Senior High School



When taking the math portion, it is important to follow the instructions and pay close attention to what is being asked in each question. Here is an example of a question you might see on the exam.
4 team members of the traffic enforcement division issued several moving violations over a one week period.
Officer Todd issued 12 tickets.
Officer Allen issued 135 tickets.
Officer Bruno issued 40 moving violations.
Officer Thomas issued 65 moving violations.
How many citations were issued by the two traffic enforcement officers writing the least moving violations that week?
(A) 77
(B) 105
(C) 145
(D) 52
The answer is D. 40 + 12 = 52.
As you can see, the math portion is not difficult, it just needs to have attention paid to it. So, by reading the instructions and the questions carefully, you are more likely to succeed.
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Why Study Math?

"The continuum is that which is divisible into indivisibles that are infinitely divisible."- Aristotle
The idea that there are myriad infinities boggles the mind and makes us wonder what we really do know. As the quote implies, we can take the real number line and divide it into such small pieces, literally indivisibles, and then be left with something that is yet infinitely divisible. Wow! Maybe we should stick with more mundane stuff like how to use the latest application on our smartphones; but then, we would not have half as much fun. Take the ride with me.

Download Exam Drill of Mathematics for Senior High School



Maybe I am unusual in that I find this idea absolutely fascinating, so much so that I light up like the July 4th night sky during fireworks when I think of such wonders. That the real number line, or the continuum, as mathematicians call it, can be divided ad infinitum and yet still be infinitely divisible, or that there should exist a whole hierarchy of distinct infinities, provable by mathematical theory---indeed provable without such exotic mathematics as might be necessary so as to prove Fermat's Last Theorem, let us say---is nothing short of miraculous. When the concept of the atom was proposed by the English scientist John Dalton to explain the behavior of chemical elements, he was ushering in the age of atomic theory. To wit, the word atom comes from the Greek and means "uncuttable," or "indivisible." It would seem that any subcomponent should be made of something, much as any living cell has subcomponents which we call organelles. These subcomponents are made of subcomponents and one could extend this argument ad infinitum. The question becomes, "When does it stop? Well enter the real number line.
The continuum, as we have heard it called, exhibits the same uncanny quality of being indivisible yet infinitely divisible. Case in point: no matter how small we shrink an interval, we can yet infinitely shrink it further. To make this point a bit more clear, let us relate this to the size of atomic particles. An Angstrom unit is 10^(-10)m which is one ten-billionth of a meter. Although the exact size of the electron is not known, it is known that its size is less than 10^(-13)cm. This is five powers of ten less than the angstrom. Indeed the electron is very, very small.
If we project this size onto the continuum then we can think of it as the length of the interval from 0 to 10^(-13)cm over to the right. A very small interval without question! It is easily provable that between this interval there are infinitely many real numbers. Mind blowing! Thus we can slice the real number line however close to 0 we want and set that as our new interval. Perhaps this is the interval from 0 to 10^(-25)cm. Yet in this interval we can still find infinitely many distinct real numbers. In fact, one of the results proved, by extension of previous results, by the famous mathematician Georg Cantor, the founder of modern set theory, was that the number of distinct reals in any interval, however small, was more numerous than the infinite set of natural numbers, that is the set {1, 2, 3,...}!
Now if you are not blown away by the facts laid out in the previous paragraph then one of the following must apply: 1) you are dead; or 2) you have become so jaded by living that you really should be dead. Hopefully none of these conditions applies to you. Now whether we can keep subdividing particles this way remains as arcana only known to the privileged of an unearthly domain. Yet I believe that the outlined construct gives us serious fodder to fuel speculation about not only mysteries of the universe but also such ponderous contemplations amenable to mathematical thought.
As till now it seems that the electron is a point particle and therefore not further divisible. Thus the electron would be comparable to a point real number which makes up the continuum. Yet it does have some size, however small. We have just seen that we can slice up ad infinitum any interval, however small. The question becomes, what occupies the space in those intervals of the electron? Pure empty space or something else? Intense! Maybe we should go back to that smartphone application after all.
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Easy Mental Math

The problem is quite simple: you have a bunch of items, most of which are priced below USD 100, and you want to know how much they're worth all-in-all. In short, you need to do some mental addition. Some people tend to shy away from this because they think is something that would require a Nobel laureate. However, that is absolutely not the case.
Okay, let's start with simple addition of two-digit numbers. Any two-digit number comes in the form XY, where X is the first digit and Y is the second. Now, suppose we have two 2-digit numbers that we need to add: XY and ST. Sounds tricky? Here's a concrete example.

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Let's Get it On!
If a big bag of peanuts costs USD 27 and a pound of high-quality lettuce costs USD 16, then let's try to get the total amount.
Here's a quick rundown of what you would do.
1: Problem: 27 + 16
2: Split: (20 + 6) + (10 + 6)
3: Rearrange: (20 + 10) + (7 + 6)
4: Add: (30) + 13
If you would have to work on multiple numbers, the process is the same - except that you can choose to add the first two items first, and add the third item to the sum of the first two. Here's a quick example.
Not Just Two Pieces?
Suppose we also threw in a bottle of mayonnaise worth USD 12 to the bag of peanuts and the lettuce.
We first add the peanuts and lettuce, which gets us USD 43. 1: Problem: 43 + 12
2: Split: (40 + 3) + (10 + 2)
3: Rearrange: (40 + 10) + (3 + 2)
4: Add: (50) + 5
Note that the decimal places (that is, the "cents" part of the price tag) was not included in this calculation. If we included it then it would be too complicated. However, what you can do to compensate for the inaccuracy is to round the price up to the nearest whole number. For example, if the price of mayonnaise is USD 12.55, then round it up to USD 13.
As you add more and more stuff into your shopping cart, just do the same process over and over. You'll be surprised that after a little bit of practice (which takes less than 20 minutes), you'll feel like you're just one exam short of being a rocket scientist!
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How to Study Elementary Grade Math

>> Saturday, January 15, 2011

Is it really that hard to study Mathematics, even elementary grade math? How then can you help your kids study Mathematics and make it easy for them? We can instill in our kids study habits which will help them a lot especially in studying mathematics.
Here are some studying tips that you can use or impart to your child/children and which will make Math learning easier for all of you:
• Go to class everyday. You may laugh at this because it would sound so ordinary a tip but you should realize that mathematics is a subject that is collective or cumulative. Everyday there are new concepts to learn and become skilled at.
• Listen well during Math class. There are sometimes tips that are suddenly discussed in passing and if you did not listen well then you might miss that important tip or trick that may be emphasized during the discussion and which may be useful in the future.

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• Jot down everything. Make notes of everything that is being discussed or written on the board. There are times when what is being discussed would seem so easy and simple but once your child get down to doing the procedure himself he would find out that it is not really that easy. Good notes will serve as a very good guide and reminder in solving the mathematical problem/s. It should compliment and go hand-in-hand with our tip on listening well and can be done simultaneously and easily with practice.
• Do not hesitate to ask questions. If something is not clear or you do not understand, ASK! • Listen to others who post or ask their questions. When others ask their questions, listen well. You would not know if you might just be listening to the answer to your own questions or you might be listening to a question and answer that you have not crossed your mind.
• Always review your notes. Taking a look at or reviewing your notes often will help you prepare questions for portions or concepts that you may find puzzling or you need to delve into.
• Be sure of the Math symbols you use. Mathematics has a lot of symbols or notations being used specifically in its formulas and equations. Always be sure that you have the correct notations for specific concepts or equations.
• Put formulas and concepts on separate index cards. This will help you memorize these formulas or concepts easily and you can check them out and study them during your spare time.
• Join a study group. If you are having a hard time or are getting confused with your Mathematics concepts, joining a study group will help you get a better perspective and grip on these concepts or formulas.
• Practice. Practice makes perfect so they say and Mathematics is one area where it is important to practice your concepts and formulas. Being able to provide solutions to various math problems or with various scenarios will not only promote but enhance your math skills more.
• Have time to study. Being able to understand or comprehend Math concepts and formulas does not equate to mastering them. You should be able to work on studying and working on your assignments as well as preparing for evaluation tests thus you need to have enough time to study well.
• Have fun while taking on Math. Whenever you have to take on Math lessons or skills tests, it is best to do them with fun. Have fun by playing Math board games, skills tests or brain twisters while tackling your Math concepts and enhancing your skills in problem solving. Your attitude towards the study of Math will make it easier for you to learn it. A positive attitude will widen your perspective on things and remember Math is all about how you perceive things in a broad way
Looking back at your scores and previous tests will help a lot to enhance your Math skills because you will be able to concentrate on those areas which you found confusing before. So keep those old exams and skills tests.
• Do not hesitate to ask for help. When after doing everything you can and you still need answers to some of your questions then ASK FOR HELP!
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Go Mathematics

>> Tuesday, December 14, 2010

If you have not caught the trend by now, you should: Green is in, and everything else, well, is out. And if you thought that mathematics was not at the forefront of the green movement, then think again. We see this in a Florida utility plant that is harnessing the mathematical properties of the parabola to redirect the sun's rays and create a greener earth.

Coming soon to Martin County, Florida is FP&L's (Florida Power & Light's) new hybrid power plant, which combines the best of both worlds with respect to dated fossil fuel power generation and cutting edge green solar power. The 75-MW (megawatt) Martin Next Generation Solar Energy Center takes advantage of the best of both types of fuel. The hybrid plant can generate power from the sun's rays when weather permits, and when the clouds are in force, the plant can switch to its originally designated purpose and generate power via readily available natural gas.

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Where the mathematics comes in is through the application of our knowledge of parabolas in directing the rays of the sun. The utility plant has amassed a five hundred acre array of parabolic mirrors which concentrate the sun's radiant energy by a factor of eighty. The energy heats fluid that is converted into steam to move the turbines of the power generators. Thus when the sun is out and shining, these fancy mirrors capitalize on these sunny days; when it looks like rain, the turbines are driven by natural gas.
This solar project is so state-of-the-art that it is drawing international attention and FP&L, the utility company which built it, is giving tours for the United States Department of State. Given our concern with greenhouse gases and global warming, such new age hybrid utility plants serve to rest our concerns about whether the planet might survive at least another few centuries. And all because of our knowledge of a conic section that algebra students loved to hate and teachers strained to teach.
The gist of the story is that mathematics is more than a subject to confuse and bewilder. Even applications of fundamental mathematics such as the parabola are turning out to have "earth-shattering" ---indeed earth-saving---implications. Maybe mathematics is that which after all will save the planet and indeed the world.

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