Saturday, 31 May 2014

let's GMAT: Study these math problems and observe their solutions.

Posted: 26 May 2014 03:16 AM PDT

We have presented three math problems here..
These problems can be solved in more than one way.

Study these problems, observe their solutions.

We are sure you can replicate the solution process to other problems.
Version 1: questions 1 to 3

Visit semanticslearning.com , click on GMAT tips for solutions

Math Tutor – Canoga Park – Online and In Home | ...and Math Tutoring

Posted: 18 Jun 2008 08:33 AM PDT

Many students and parents ask for pointers and techniques for to best learn Math. Here is MathTutorDVD.com's top-10 list and applies to any level of Math:

1) If you don't understand something, focus on mastering that topic before moving on to the next topic. It sounds simple, but it is absolutely essential. Lets say a student is learning Algebra, for example. Further, lets say he or she is having a hard time understanding how to add and subtract negative and positive numbers. All of us struggle with this in the beginning as it is a sticky point for most students. Some students in this situation, out of frustration that they "can't" learn this topic, will move on to the next lesson in the hope that they will be able to understand that one.

This is a recipe for disaster.

Math is very much like learning to read. If you don't know your letter sounds then you have no hope of being able to sound out words of course there is no way possible that you could read a book. All math courses are taught in a specific sequence because the every topic builds on the previous topic. If you are having a problem with a topic, continue working with that one until you understand it and can work problems successfully. Watch the DVD section over again, attend tutoring, read the book and examples a second time, or even get a totally different book to have it explained a different way…but whatever you do not turn the page and tackle the next topic. If you do, you will get even more frustrated and you in all likelihood will begin to give up hope.

2) Work example problems and check your answers to gain practice with every lesson. The entire premise of the DVD series is to "learn by example" and it is quite simply the easiest way to learn Math. After watching the section on the DVD and reading the section in your textbook, begin working examples from the end of the chapter. Make sure to work the problems that have answers in the back of the book, and check every one. Always begin with the easiest problem in your book, even if you think it will be too "easy" to solve. It is very very important to build your confidence. This is why the DVD lessons begin with easier problems that no one will have any issue understanding. Gradually work harder and harder problems from your book and check your answer for each one. After working a dozen or more problems from the section (two dozen is best), you are ready to move on to the next section. Many students want to plow though a lesson just to make it to the next one. You cannot just read a section in a Math book and become an expert on that section. You must work problems. If you can't work problems then you are not ready to move on. The good news is that working problems will build your confidence, and confidence is 100% the name of the game in Math.

3) When beginning to work a Math problem, do not "map out a path from problem-to-answer" in your head before writing anything down.
I see this almost every day. It is very common when someone looks at a Math problem that they try to "figure it out" in their head before writing anything down. Take Algebra for example. When a beginning student looks at an equation, he or she will be tempted to solve the equation in their head and not write anything down. Students are tempted to do this most often with Word Problems. Since a word problem is written in sentence form, it is common to think that you can "think your way to the answer". I will tell you that I never, ever, solve any sort of math problem without writing it down. Ever.

What you need to do is begin by first writing down the problem. Then you begin to solve it one step at a time. Write down even the simple things. What you need to ensure is that every single step that you write down is perfectly legal. In other words, if you are solving an equation for example and you subtract "10″ from both sides….write that down. Then in the NEXT step actually do that subtraction. Then if you need to divide both sides by "2″ write THAT down…then in the NEXT step actually do the division. This gives you a paper trail to check your work and also it allows you to break the problem down in to bite sized chunks. If you can be sure that every single little step is legal, then you will be in good shape. If you try to do too many things at one time, which is common, you will probably try to do something illegal and get into trouble.

4) When you study and do homework, try to find a quiet place to do it.
I was the worst offender of this while in school. I used to listen to music all of the time while trying to do homework. I'd also listen to the TV as 'background noise" while studying. Over time I realized that if I had a quiet place without the background noise, I could focus much better. What I found is that when reading, for example…I would have to read something perhaps 3 or 4 times if I was listening to something else but only once if I had some quiet. People love to listen to music while studying, but I am convinced that it is much more effective if you don't. Try to find a quiet spot in your home or in the Library to get your schoolwork done and you will get your work done much more quickly because you'll be able to focus and absorb more.

5) If someone asks you for help, try to explain the topic to them as best you can.
This one is going to seem a little odd for this list…but there is one universal truth. Those who can teach others have a true grasp of the material. Many times when studying in groups there will be one member of the group who is behind and doesn't "get it". Try to help that person, even if your own work will take longer. Not only will you feel like you are helping someone else succeed, but the process of rephrasing information back to someone else and breaking things down into bite sized chunks will increase your own understanding. It will help you understand at a fundamental level what the stumbling blocks are for the topic, which will help you as you move on in your math studies.

6) Never, ever work math problems in pen.
This one is pretty simple. You will make a mistake; it is only a matter of time. When you do, you will want to completely erase your mistake and write over it. You will never, ever want to scratch something out and write next to the scratch-out. This will lead to a paper that is hard to read, and the scratch-outs will actually increase your anxiety about solving these problems. You want clean-neat paper with a clean well thought-out solution.

7) Try to use a mechanical pencil with separate eraser, if you can.
Mechanical pencils have cleaner lines and the separate eraser allows you to erase more cleanly. Nothing is worse than making a mistake and trying to erase something then just smearing that all around your page. The cheap erasers will do this and make your life hard. Invest in a good mechanical pencil and a good separate eraser.

8) Keep your solutions neat and line-by-line.
Always work problems vertically, with one step on every line. Never work horizontally. It may take more paper, but you will be able to follow your steps much more easily. More importantly, the teacher will be able to follow your work much better which allows him/her to give you partial credit. If there are just 2 steps when there should be 10, you will not be getting any points for your thought process. The steps you write down tell the teacher what you are thinking and how you are attacking the problem.

9) Don't work problems very late at night.
I know all of the college students will be laughing at this, but it is true. I have tried many, many times to do Calculus or Physics late at night, after 12 or 1am, but you are just doing yourself a disservice. I have stared at problems for hours because I just could not sleep until I knew how to solve it…then I finally fell asleep out of extreme fatigue…but when I woke up it just seemed so simple how to proceed with the problem. Also, I have worked problems at night and got the wrong answer, and I knew I must have a silly mistake in the solution. I would usually set out to find it, but many times when you are tired you simply can't find the silly mistake. The next morning after about 5 minutes I could spot the simple sign error or even a simple multiplication error that caused the problem.

10) If the problem lends itself to it, draw a picture of the problem.
This is most applicable for Trigonometry, Calculus, and Physics Students, but also applies to any word problem in basic math or algebra. Please do yourself a favor and draw a picture of what the problem is describing, even if your picture is simple. We are visual beings…the process of drawing the situation causes us to internalize what the problem is really asking for. It helps figure out how to proceed. If you are in Physics, you should draw a picture for every single problem that you work out. If you are in Calculus, definitely draw pictures for all related rate problems. If you are in Calculus 2 or Calculus 3, definitely draw a picture of all of your 3-dimensional problems (3d integrals). If you are in basic math and Jenny gives Bob 2 pencils and Bob gives 1 pencil away, draw that situation. It will really help you figure out how to proceed.

Remember, there is no silver bulet in learning Math. It comes with taking things one step at a time and with practice. The tips above will help you along in your math studies, and give you confidence. And confidence is 100% the name of the game in learning any level of Math.

- Jason Gibson
We Cover the West San Fernando Valley including:Woodland Hills, Agoura, Calabasas, West Hills, Chatsworth, Canoga Park, Tarzana, Reseda, Winnetka, Encino, Northridge and more! Contact us to see if we can come to your area. We cover the world Online! Math Tutoring at its Best.

Friday, 30 May 2014

The 10 Best (And Worst) Jobs In 2014 (Or Why You Should Study ...

Posted: 26 May 2014 04:21 PM PDT

Forget well-roundedness... if you really want to get on in this world... study math betterer is the clear message from CareerCast.com's rankings of the best and worst jobs in America. As WSJ reports, it's no secret that quantitative skills are in high demand on the job market; and as one analytics recruiter noted: workers who can't crunch numbers may ultimately face a "permanent pink slip." Mathematician is the 'best occupation' in 2014 according to their report and Lumberjack the worst (with Newspaper reporter second worst).

Via WSJ,

Below are the best and worst jobs of 2014, according to CareerCast.com. Click here for the full rankings and here for details on the methodology.

Best Jobs of 2014 / Midlevel Income

1. Mathematician / $101,360
2. Tenured University Professor / $68,970
3. Statistician /$75,560
4. Actuary / $93,680
5. Audiologist / $69,720
6. Dental Hygienist / $70,210
7. Software Engineer / $93,350
8. Computer Systems Analyst / $79,680
9. Occupational Therapist /$75,400
10.Speech Pathologist / $69,870

Worst Jobs of 2014 / Midlevel Income

200. Lumberjack/ $24,340
199. Newspaper Reporter / $37,090
198. Enlisted Military Personnel / $28,840
197. Taxi Driver / $22,820
196. Broadcaster / $55,380
195. Head Cook / $42,480
194. Flight Attendant $37,240
193. Garbage Collector / $22,970
192. Firefighter / $45,250
191. Corrections Officer / $38,970

The outlook for some jobs are so bleak that they weren't included on this year's list. Among the occupations consigned to the dustbin are bricklayer, typist/word processor, and stationary engineer automobile assembler.

Or there's always modeling...

Or living off the government in a nation where work is punished...

As quantitied, and explained by Alexander, "the single mom is better off earnings gross income of $29,000 with $57,327 in net income & benefits than to earn gross income of $69,000 with net income and benefits of $57,045."

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Thursday, 29 May 2014

Guided Math: A Framework for Mathematics Instruction

Posted: 29 May 2014 12:00 AM PDT

I am incredibly excited to be joining The Primary Gal's Guided Math book study. Guided math has helped my students grow tremendously because it allows me to better individualize their math instruction. However, with that being said, I know I have so many things to learn and tweak to make my guided instruction stronger. I purchased Guided Math: A Framework for Mathematics Instruction by Laney Sammons book last summer and dabbled with it this year as I taught. I read pieces, took notes, and tried to apply it to my math instruction as much as I was able to.

This summer I am excited to reread it after implementing a guided math routine in my classroom because I know I will learn so many new tricks and tips. I can't wait to fully implement my new ideas from this book study into my instruction next year.

If you are new to guided math or have tried bits and pieces of it in your classroom please check back here weekly for more strategies and ideas to implement into your guided math routine.

Whole-Class Instruction-Mini-Lesson: Each day my students start off with a mini lesson or a math talk. I have been able to get this down to an actual "mini-lesson" about 10-15 minutes long (which took some practice for me!)

Guided Math Instruction with Small Groups of Students & Math Workshop Model: The small group structures are present in my classroom. Students are working independently or with their classmates when they are not in a guided math group with me. I feel as though the structure I have set up has allowed me to differentiate easily for students and also holds them accountable when they are not working directly with me.

An Ongoing System of Assessment: This is something I really hope to get a better handle on for next year. I know that students level can vary depending on the concept so groups need to be very flexible. It is important I find a balanced system of assessment that gives me a more complete look at what students know and understand on a day to day basis.

A Classroom Environment of Numeracy: I need to strengthen this and help students to see the importance of numbers and problem solving as well as how it affects their everyday lives. I would like to help make math more meaningful for students with each activity.

Individual Conferences: Although my structure allows for one-on-one conferring I really haven't taken advantage of this. This year I spent my time meeting with small groups daily but I can certainly see advantages to also taking some time to working with students individually as well.

Morning Math Warm-Ups: This is something I can certainly strengthen. I have pieces in place with my number of the day chart but could make this stronger with more activities for students to do upon arriving for the day.

There you have it-lots for me to work on and strengthen. That is certainly one thing I love about summer is I have the time to reflect and really figure out how to improve my math instruction for next school year.

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The Top 7 Real Estate Study Tips - Becoming a real estate agent

Posted: 12 May 2014 09:45 PM PDT

Studying for your real estate exam can be an exhausting and exciting ordeal. After you have passed all of your prerequisite material and are finally studying for your exam, you will realize that there is a lot of material that can be included. This leaves you with an immense amount of subject matter to absorb before exam day.

While it is never certain what will be on your exam, there are a few common real estate exam prep guidelines that passing students have followed. Before drinking 10 cups of coffee and cramming all night for your exam, follow these real estate study tips to narrow down the most important material covered.

1. Study Big Concepts

There is a national portion included in every exam. There are over 100 questions that may be asked during this time and each state will have their own set number of questions asked. By ensuring you cover the big concepts, you will boost your chances of passing the exam the first time. These concepts will include:

Property
Finance
Management
Calculations
Marketing regulations

These are the big 5 and they will encompass the vast majority of the national part of your exam. Concentrate on these areas first.

2. Read over the Question

One of the most important and basic real estate exam prep tips is to read over the question multiple times before answering. Oftentimes, wording can cause confusion and lead to a wrong answer being given.

Before marking a final answer, ensure that you fully understand the question. If you do not have an adequate answer, move on to the next question and come back later. This will allow you time to try and determine what the appropriate answer to the question is.

3. Know Your Vocabulary

Real estate jargon or vocabulary is very important. You will not have time to go over basic vocabulary during your exam, so ensure that you have all of the basic vocabulary down before test time. This will include terms such as chain of title, escrow, examination of title and dozens of other phrases that pertain to the real estate industry. The Dictionary of Real Estate Terms is a great resource for learning all of the necessary terms before your exam.

4. Use the Process of Elimination

Perhaps the most basic real estate study tip is to use the process of elimination. If you do not know an answer, eliminate all of the answers that you know are not correct. This will raise the chances of you guessing the right answer. This should only be done on questions you truly do not know.

5. Take Exam Prep Courses

There are exam prep courses online or at local schools. These courses are often paid and will be a great way to practice for the exam.

Included in these courses will be all of the topics needed to pass your state exam as well as all of the extra material that you might not consider studying. The best part is that these prep courses are backed by years of experience and professors that are responsible for others passing the test. If you choose a reputable prep course, you will increase your odds of passing greatly.

6. Schedule Your Exam Quickly

It doesn't make sense to take all of your required courses and wait to take your exam. By waiting, you will likely forget some of the most pertinent information included. Instead, you will want to schedule the exam as quickly as possible after your classes are complete. This will ensure that all of the information is still fresh in your mind and will result in less overall studying.

7. Double Check Your Math

One of the biggest errs a person can make is to assume that his or her math is right the first time. Questions are presented that contain answers that are purposely there to confuse you. Instead, ensure that any math that is given or that you have done yourself is correct. Most people that fail the state exam make errors on the easiest of math problems.

Conclusion

Real estate exam preparation should not be taken lightly. You must allot enough time to study the material and try to focus on the most important material first. By allowing yourself at least 5 weeks of studying, you will greatly increase your chances of passing your licensing exam.

Tuesday, 27 May 2014

The 10 Best (And Worst) Jobs In 2014 (Or Why You Should Study ...

Posted: 26 May 2014 04:21 PM PDT

Via WSJ,

Below are the best and worst jobs of 2014, according to CareerCast.com. Click here for the full rankings and here for details on the methodology.

Best Jobs of 2014 / Midlevel Income

Worst Jobs of 2014 / Midlevel Income

Or there's always modeling...

Or living off the government in a nation where work is punished...

Average:

Your rating: None

Study Maths: Helping your child learn math

Posted: 20 May 2014 11:45 AM PDT

If you are a parent or an older brother, and want to help your child succeed in maths, then there is a set of important tips you should follow. So, start helping your child learn math.

tips to help parentes help their child study maths

Tips - helping your child learn math

Become interested in your child's learning

Follow up and have some knowledge about the content that your child is learning is important, both to assist in their study, as well to suggest everyday problems for practice.

Mathematics is, above all, reasoning. So do not encourage your child to memorize the matter but to perceive it and practice it. However, as with everything, there are situations where it is important to memorize. For example, the multiplication tables is an essential tool to achieve progress.

A major problem in kids today is the idea that mathematics is boring and uninteresting. Reinforce the idea that mathematics is very interesting and worth the effort.

In maths, nothing is lost. This is a cumulative discipline, and as such, all that is behind is important for future learning. So, you must ask your child to regularly evaluate other previous contents, especially if they are related to matters that are learning at the time .

Help your child to study maths does not mean always sit with him and helps him with his exercises. Most of the time, you just have to give him the tools he needed to get to be autonomous and able to study maths alone. To do so, he must apply the method of study that we explain here.

Give positive reinforcement

Not all children develop at the same time, or have the same capacity to be able to have the same success in maths. However, the most important is that all evolve. This requires a positive reinforcement whenever he reaches a certain goal.

The error is one of the most important tools to evolve in Maths. If you find an error in your child's answers, do not correct: you muts draw his attention to the existence of a error for him to find the correct answer himrself.

There are many games and books related to maths, where your child can have a slightly more relaxed and fun relationship with this discipline that will help him increase his interest, and of course, his ability to learn new things.

Sunday, 25 May 2014

Study Tips for Common Core Math Testing - Bright Hub Education

Posted: 28 Apr 2014 09:00 PM PDT

Due to recent suspicious activity from your computer, we have blocked your access to http://www.brighthubeducation.com. If you feel this block is in error, please contact us using the form below and we will begin investigating immediately.

Math Study Tips | hotfish

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Wednesday, 21 May 2014

JEE (Advanced) 2014: Study tips for Mathematics - Maharudra ...

Posted: 15 May 2014 02:14 AM PDT

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.
The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.
Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject.
Paper pattern:
The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.
Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.
Mathematics syllabus:
Algebra:
Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices
Coordinate Geometry:
Circle, Parabola, Hyperbola
Calculus:
Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral
Tips:

If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.
Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
Permutation - Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
Matrices can be related to equations, hence a 3x3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.
The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

The above tips have been compiled with inputs from FIIT JEE.

Success in Mathematics Study Tips | Motivational Magic

Posted: 04 Jan 2014 01:31 PM PST

Tips on how to study mathematics, how to approach problem-solving, how to study for and take tests, and when and how to get help.

Active Study vs. Passive Study

Be actively involved in managing the learning process, the mathematics and your study time:

Take responsibility for studying, recognizing what you do and don't know, and knowing how to get your Instructor to help you with what you don't know.
Attend class every day and take complete notes. Instructors formulate test questions based on material and examples covered in class as well as on those in the text.
Be an active participant in the classroom. Get ahead in the book; try to work some of the problems before they are covered in class. Anticipate what the Instructor's next step will be.
Ask questions in class! There are usually other students wanting to know the answers to the same questions you have.
Go to office hours and ask questions. The Instructor will be pleased to see that you are interested, and you will be actively helping yourself.
Good study habits throughout the semester make it easier to study for tests.

Studying Math is Different from Studying Other Subjects

Math is learned by doing problems. Do the homework. The problems help you learn the formulas and techniques you do need to know, as well as improve your problem-solving prowess.
A word of warning: Each class builds on the previous ones, all semester long. You must keep up with the Instructor: attend class, read the text and do homework every day. Falling a day behind puts you at a disadvantage. Falling a week behind puts you in deep trouble.
A word of encouragement: Each class builds on the previous ones, all semester long. You're always reviewing previous material as you do new material. Many of the ideas hang together. Identifying and learning the key concepts means you don't have to memorize as much.

College Math is Different from High School Math

A College math class meets less often and covers material at about twice the pace that a High School course does. You are expected to absorb new material much more quickly. Tests are probably spaced farther apart and so cover more material than before. The Instructor may not even check your homework.

Take responsibility for keeping up with the homework. Make sure you find out how to do it.
You probably need to spend more time studying per week – you do more of the learning outside of class than in High School.
Tests may seem harder just because they cover more material.

Study Time

You may know a rule of thumb about math (and other) classes: at least 2 hours of study time per class hour. But this may not be enough!

Take as much time as you need to do all the homework and to get complete understanding of the material.
Form a study group. Meet once or twice a week (also use the phone). Go over problems you've had trouble with. Either someone else in the group will help you, or you will discover you're all stuck on the same problems. Then it's time to get help from your Instructor.
The more challenging the material, the more time you should spend on it.

Problem Solving (Homework and Tests)

The higher the math class, the more types of problems: in earlier classes, problems often required just one step to find a solution. Increasingly, you will tackle problems which require several steps to solve them. Break these problems down into smaller pieces and solve each piece – divide and conquer!
Problem types:

Problems testing memorization ("drill"),
Problems testing skills ("drill"),
Problems requiring application of skills to familiar situations ("template" problems),
Problems requiring application of skills to unfamiliar situations (you develop a strategy for a new problem type),
Problems requiring that you extend the skills or theory you know before applying them to an unfamiliar situation.

In early courses, you solved problems of types 1, 2 and 3. By College Algebra you expect to do mostly problems of types 2 and 3 and sometimes of type 4. Later courses expect you to tackle more and more problems of types 3 and 4, and (eventually) of type 5. Each problem of types 4 or 5 usually requires you to use a multi-step approach, and may involve several different math skills and techniques.

When you work problems on homework, write out complete solutions, as if you were taking a test. Don't just scratch out a few lines and check the answer in the back of the book. If your answer is not right, rework the problem; don't just do some mental gymnastics to convince yourself that you could get the correct answer. If you can't get the answer, get help.
The practice you get doing homework and reviewing will make test problems easier to tackle.

Tips on Problem Solving

Apply Pólya's four-step process:

The first and most important step in solving a problem is to understand the problem, that is, identify exactly which quantity the problem is asking you to find or solve for (make sure you read the whole problem).
Next you need to devise a plan, that is, identify which skills and techniques you have learned can be applied to solve the problem at hand.
Carry out the plan.
Look back: Does the answer you found seem reasonable? Also review the problem and method of solution so that you will be able to more easily recognize and solve a similar problem.

Some problem-solving strategies: use one or more variables, complete a table, consider a special case, look for a pattern, guess and test, draw a picture or diagram, make a list, solve a simpler related problem, use reasoning, work backward, solve an equation, look for a formula, use coordinates.

"Word" Problems are Really "Applied" Problems

The term "word problem" has only negative connotations. It's better to think of them as "applied problems". These problems should be the most interesting ones to solve. Sometimes the "applied" problems don't appear very realistic, but that's usually because the corresponding real applied problems are too hard or complicated to solve at your current level. But at least you get an idea of how the math you are learning can help solve actual real-world problems.

Solving an Applied Problem

First convert the problem into mathematics. This step is (usually) the most challenging part of an applied problem. If possible, start by drawing a picture. Label it with all the quantities mentioned in the problem. If a quantity in the problem is not a fixed number, name it by a variable. Identify the goal of the problem. Then complete the conversion of the problem into math, i.e., find equations which describe relationships among the variables, and describe the goal of the problem mathematically.
Solve the math problem you have generated, using whatever skills and techniques you need (refer to the four-step process above).
As a final step, you should convert the answer of your math problem back into words, so that you have now solved the original applied problem.

For Further Reading:
George Pólya, How to Solve It,Princeton University Press, Princeton (1945)

Everyday Study is a Big Part of Test Preparation

Good study habits throughout the semester make it easier to study for tests.

Do the homework when it is assigned. You cannot hope to cram 3 or 4 weeks worth of learning into a couple of days of study.
On tests you have to solve problems; homework problems are the only way to get practice. As you do homework, make lists of formulas and techniques to use later when you study for tests.
Ask your Instructor questions as they arise; don't wait until the day or two before a test. The questions you ask right before a test should be to clear up minor details.

Studying for a Test

Start by going over each section, reviewing your notes and checking that you can still do the homework problems (actually work the problems again). Use the worked examples in the text and notes – cover up the solutions and work the problems yourself. Check your work against the solutions given.

You're not ready yet! In the book each problem appears at the end of the section in which you learned how do to that problem; on a test the problems from different sections are all together.
- Step back and ask yourself what kind of problems you have learned how to solve, what techniques of solution you have learned, and how to tell which techniques go with which problems.
- Try to explain out loud, in your own words, how each solution strategy is used (e.g. how to solve a quadratic equation). If you get confused during a test, you can mentally return to your verbal "capsule instructions". Check your verbal explanations with a friend during a study session (it's more fun than talking to yourself!).
- Put yourself in a test-like situation: work problems from review sections at the end of chapters, and work old tests if you can find some. It's important to keep working problems the whole time you're studying.
- Also:
  - Start studying early. Several days to a week before the test (longer for the final), begin to allot time in your schedule to reviewing for the test.
  - Get lots of sleep the night before the test. Math tests are easier when you are mentally sharp.

Test-Taking Strategy Matters

Just as it is important to think about how you spend your study time (in addition to actually doing the studying), it is important to think about what strategies you will use when you take a test (in addition to actually doing the problems on the test). Good test-taking strategy can make a big difference to your grade!

Taking a Test

First look over the entire test. You'll get a sense of its length. Try to identify those problems you definitely know how to do right away, and those you expect to have to think about.
Do the problems in the order that suits you! Start with the problems that you know for sure you can do. This builds confidence and means you don't miss any sure points just because you run out of time. Then try the problems you think you can figure out; then finally try the ones you are least sure about.
Time is of the essence – work as quickly and continuously as you can while still writing legibly and showing all your work. If you get stuck on a problem, move on to another one – you can come back later.
Work by the clock. On a 50 minute, 100 point test, you have about 5 minutes for a 10 point question. Starting with the easy questions will probably put you ahead of the clock. When you work on a harder problem, spend the allotted time (e.g., 5 minutes) on that question, and if you have not almost finished it, go on to another problem. Do not spend 20 minutes on a problem which will yield few or no points when there are other problems still to try.
Show all your work: make it as easy as possible for the Instructor to see how much you do know. Try to write a well-reasoned solution. If your answer is incorrect, the Instructor will assign partial credit based on the work you show.
Never waste time erasing! Just draw a line through the work you want ignored and move on. Not only does erasing waste precious time, but you may discover later that you erased something useful (and/or maybe worth partial credit if you cannot complete the problem). You are (usually) not required to fit your answer in the space provided – you can put your answer on another sheet to avoid needing to erase.
In a multiple-step problem outline the steps before actually working the problem.
Don't give up on a several-part problem just because you can't do the first part. Attempt the other part(s) – if the actual solution depends on the first part, at least explain how you would do it.
Make sure you read the questions carefully, and do all parts of each problem.
Verify your answers – does each answer make sense given the context of the problem?
If you finish early, check every problem (that means rework everything from scratch).

When

Get help as soon as you need it. Don't wait until a test is near. The new material builds on the previous sections, so anything you don't understand now will make future material difficult to understand.

Use the Resources You Have Available

Ask questions in class. You get help and stay actively involved in the class.
Visit the Instructor's Office Hours. Instructors like to see students who want to help themselves.
Ask friends, members of your study group, or anyone else who can help. The classmate who explains something to you learns just as much as you do, for he/she must think carefully about how to explain the particular concept or solution in a clear way. So don't be reluctant to ask a classmate.
Go to the Math Help Sessions or other tutoring sessions on campus.
Find a private tutor if you can't get enough help from other sources.
All students need help at some point, so be sure to get the help you need.

Asking Questions

Don't be afraid to ask questions. Any question is better than no question at all (at least your Instructor/tutor will know you are confused). But a good question will allow your helper to quickly identify exactly what you don't understand.

Not too helpful comment: "I don't understand this section." The best you can expect in reply to such a remark is a brief review of the section, and this will likely overlook the particular thing(s) which you don't understand.
Good comment: "I don't understand why f(x + h) doesn't equal f(x) + f(h)." This is a very specific remark that will get a very specific response and hopefully clear up your difficulty.
Good question: "How can you tell the difference between the equation of a circle and the equation of a line?"
Okay question: "How do you do #17?"
Better question: "Can you show me how to set up #17?" (the Instructor can let you try to finish the problem on your own), or "This is how I tried to do #17. What went wrong?" The focus of attention is on your thought process.
Right after you get help with a problem, work another similar problem by yourself.

You Control the Help You Get

Helpers should be coaches, not crutches. They should encourage you, give you hints as you need them, and sometimes show you how to do problems. But they should not, nor be expected to, actually do the work youneed to do. They are there to help you figure out how to learn math for yourself.

When you go to office hours, your study group or a tutor, have a specific list of questions prepared in advance. You should run the session as much as possible.
Do not allow yourself to become dependent on a tutor. The tutor cannot take the exams for you. You must take care to be the one in control of tutoring sessions.
You must recognize that sometimes you do need some coaching to help you through, and it is up to you to seek out that coaching.

Department of Mathematics and Computer Science
SAINT LOUIS UNIVERSITY
June 1993

Monday, 19 May 2014

JEE (Advanced) 2014 : Study Tips For Mathematics | MATHEMATICIA

JEE (Advanced) 2014 : Study Tips For Mathematics | MATHEMATICIA
Preparation Tips For Andhra Pradesh SSC Public Exams | Study ...
GMAT Study Tips for International and ESL Students | Kaplan GMAT ...

JEE (Advanced) 2014 : Study Tips For Mathematics | MATHEMATICIA

Posted: 09 Apr 2014 09:00 AM PDT

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject.

Paper pattern :

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Mathematics syllabus :

Algebra -

Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

Coordinate Geometry -

Circle, Parabola, Hyperbola

Calculus -

Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

Tips :

If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.

Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
Permutation, Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
Matrices can be related to equations, hence a 3×3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.

The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

Preparation Tips For Andhra Pradesh SSC Public Exams | Study ...

Posted: 19 May 2014 02:43 AM PDT

The SSC public exams that are conducted by board of secondary education are also one of the most appearing exams in the Andhra Pradesh state. SSC or 10th class is the final stage of school education in the state for all students. And only after completing it successfully any student can go for further studies like polytechnic, intermediate, vocational etc. But it's not so easy to prepare for SSC final exams without good guidance and planning. For obtaining good score students have to concentrate on exams well. So today we're going to share some most useful tips with you to learn how to prepare for SSC/ 10th Class end exams. If you're also studying SSC presently, feeling very tension about exams and wish to know some best ways to prepare and revise all subjects easily then let's read and follow our exclusive tips shared by experts.

Best Preparation Tips for Andhra Pradesh SSC Public Exams

Even with one year of continues study many students will get fail or can't obtain good marks in their exams due to no good preparation and guidance. Thus, they'll be worry about their educational career. So to avoid such kind of bad thing from career and to gain merit marks in all exams you should have to follow some special guidance and best tips that are given below.

Complete Series Box

1. How to download SSC/ 10th class marks memo

2. How to download your SSC hall tickets from online

3. How to apply for Polytechnic entrance test POLYCET

5. Best preparation tips for common entrance tests

6. Coming Soon...

In 10th class or SSC exams there are mainly we can see six general subjects like English, Hindi, telugu, social, mathematics and finally science. These all subjects are common to all students who studying SSC presently at various schools established across the state and approved by board. The entire syllabus was designed and made by experts according to board of secondary education (BSEAP) guidance exclusively. In case the syllabus has change then the subjects will also be changed. But most of subjects will be remain same. During exams preparation all students should need to have some special techniques to remember easily anything that they have read on the books and subjects. Some students already follow few kind of special techniques to remember what they have read and they'll improve it automatically. But many of us will don't have this kind of techniques. So on that segment we're going to write down and provide some golden tips for you.

Daily Tow Hours Practice:

Mathematics is a very important and easy subject in 10th class exams because its will helpful to you to get cent marks. And you can increase your total percentage of marks with mathematics. But without proper planning and practice you can't obtain at least above 50 marks and it will turns into most tough or hard subject ever in the entire exams. Many students think math's is a very critical subject to prepare. But at least no little practice everything will looks like hard and horrible to do. So every student have to spend daily two hours of time for mathematics to practice. Because only practice can improve your talent and skills and makes you perfect without any doubt. Prepare mathematics at morning times for remember easily.

While math's revision every student will get some doubts about problems in subject. So to clarify their doubts they should need to consult their concerned subject teachers or experts. If experts are not available near to you then you can also take help of well studying fellow student (classmate) to clarify your doubts relevant to mathematics. But one more thing we can say loudly and without any doubt that is "Math's is a very easy subject in 10th Class if you learn all important equations" carefully and completely. After you learn them you can do and clarify even any type of difficult or hard problem easily. Because equations are the combined heart of mathematics. So first every student should need to learn all the equations in their chapters and then they can go for practice little big problems. By following these simple tips you can get maximum marks and good percentage in mathematics without any pressure.

Civics and Economics (Social Studies):

In social studies we can observe few most common and major topics mainly like geography, history, civics and finally economics. These are the most important topics in social subject. And in question paper of final exam there will be total 30 marks from these topics in subjective type questions, 15 marks in objective type and finally 5 marks from graph. So you have to focus on mainly those topics which gain high score. Every day half an hour practice graphs. In history the dates and years of particular thing are important. So try to note down them in separate scribbling book or small note book and refer them again and again to remember perfectly. And in geography you need to remember all things highly related to oceans, factories and crops etc. Also you can see only less chapters in civics and economics. So you have chance to secure good marks from these chapters. So try to focus on that chapters also. Spend daily one hour at least to read this easy and interesting subject for obtaining good score.

Hand Writing is Important:

Hand writing is a very important thing that will be considered by every evaluator who valuate your answer sheet to give some marks for that. So try to keep good hand writing and improve it day by day with practice. By filling your answer sheets with beautiful and attracting hand writing in exams you will get chance to score good marks even you wrote something wrong answer for any question. During valuation the evaluator will first look into your answer paper for hand writing and only after it he/she will turn to focus on remaining content and important things to give marks. We know, the first impression is best impression. If the evaluator would like your writing then he/she may give you full marks for that question. So we can understand how much important is hand writing and how it will take effect on your score also. Many of students may fail on this reason mainly even they have great skills and write all the right answers. So first keep your eye on hand writing, improve it daily and finally try to get some impression of evaluator. Good hand writing is always one of the most important way to get good percentage. With best practice of hand writing you can earn up to 10 marks exclusively in each subject.

And another important thing is that yours content. That means what you have written is also important thing consider by evaluator after look into your hand writing. So don't write anything silly or wrong in first few pages of answer booklet anyway to don't get avoided by evaluator. And first answer only well-known questions in first few pages without doing any mistake. Write only about important matter that is relevant to that given question. The pure and rich content will helpful to you to get good percentage also.

Read: Tips to reduce stress during exams preparation

In case you would like to write more pages in exam then make sure that you're going to write only relevant content. Because more pages that write with irrelevant content will effect on your marks. So try to keep your pages clean and clear by writing between 15 to 25 pages for avoiding fail and low marks. Just write your main points in starting of pages and paragraph lines. And include other things that you have learned and know about that topic in last paragraphs and last pages in your style. Don't waste your most valuable time during exams by writing irrelevant content at first and just write any irrelevant content only after writing all known answers and just few minutes before leaving exam hall. Place all irrelevant content in last pages. Also remember, don't write answer for any question in more than two pages and try to keep and complete your answer in 3 or 4 simple paragraphs that means 15 to 25 small lines that are comfortable to read any evaluator quickly.

Focus on Digraphs and Objective Type Questions:

The diagrams are also do major role in 10th class public exams. But the diagrams in these exams mostly permitted only to some subjects like physical science and natural science. And there will no diagrams come from other subjects like English, Hindi and Telugu. But mathematics also had has some common presentations and social subject will also contains some maps. So spend daily some little time for learning diagrams, layouts and maps from these subjects. The each diagram that you represent will award you at least 4 to 5 marks in end exams. So it's better to concentrate on this aspect also to do not loss some more valuable marks. But, remember one thing that is while presenting any diagram sketch it with only think pencil and don't use any sketch pens and ink pens to don't loss marks. By presenting picture with think pencil in correct dimension or shape you can get more marks for that. Don't represent irrelevant diagrams in the answer sheet. If you don't know anything about that diagram then just leave it. So before you go to appear for any exam that contains some diagrams you should have to learn and practice them completely. Present your diagram between the answer that means middle of answer or starting of the answer but don't place it in the ending of answer.

Finally objective, this is the most and most important part in every question paper to focus. Because those who don't prepare at least main answers they all can get pass in their subjects using this part only. Even well prepared candidate sometimes will get fail marks. So who wish to get good marks and pass marks they all can earn most of marks from this objective part. In main exams all six subjects will contains this objective type questions separately. This objective type questions also called multiple choice questions. So those whose target is obtaining merit rank and who feels they will fail in particular subject they all have chance to get good marks if they just prepare this important part by focusing. So also spend some time (1 to 2 hours daily) to learn and attempt bits or objective questions and do little hard work. Just read and practice this objective type questions from your 10th class syllabus made by officially board. And you don't need to gather any special material for that and don't need to read and follow any other books that are available in market. Just follow and use your relevant text books distributed by board, refer previous or old question papers of SSC public exams, check for repeating questions and practice well.

English Preparation Tips:

English is a first language in SSC exams but many students commonly feel fear with English subject and think it's hard to read because of no basic knowledge and good English teacher. But with little practice you can easily attempt English subject. In English the grammar is a very important part to learn and understand first. Practice English daily two hours to get high score. Take help of nearest English coaching institutes to learn perfectly by don't depending on school teachers only. English is a very important language to learn in your life and it will be necessary to learn in every higher education course. So spend some money for it from early age to learn perfectly. Just go to nearest best coaching center and take their help.

How to Prepare for Telugu?

It's a second language in SSC. We know, it's very easy to read and prepare local or mother language. But by neglecting yourself by don't preparing it and without taking certain required cares there will be chances to get only lowest pass marks. So try to be careful on this subject also and prepare it well by doing right preparation. In telugu there will be mainly few aspects that are important to focus that are following essays, stories, grammar, short answer questions, bits and other important topics. We hope you know how to prepare telugu and can prepare it easily by understanding basic concepts yourself. But in case you don't know how to prepare and have any doubt you take help of subject teacher to explain it.

Read: Essay writing tips for competitive exams

Hindi is also an Easy Subject When You Try to learn it:

Anybody will teach you if you want learn anything seriously. Hindi will turns into a most difficult subject to many students if they don't read and learn it from early age. If they don't know how to read it and write it then it will looks like very hard. So first focus on basic things like how to read and write by following some special books that are available in market. The grammar is also important part in Hindi. The grammar will guide you how to write sentence in right and perfect format. It's better to use Hindi to telugu translating book to learn it easily and quickly. During learning Hindi first it will looks very hard to learn but after few days you will addicted to it and understand it easily. If you're a perfect student who can write and read Hindi very well then focus on some most important topics on that subject mostly. Daily write what you have read on that day on book to improve your writing skills. Take help of your Hindi teacher as well as.

Physical and Natural Science:

Physical and natural science both are related to science subject and are important. But in final exams they'll will be divided and come into two separate question papers. So you have to appear for them both separately. Each paper will contains half, half marks. But in SSC exam results the marks will be totaled and added by adjusting or combining obtained marks in both two papers. So even you get fail in one paper unfortunately you have chance to get pass marks using another paper by obtaining required above 35 marks. But try to focus on both papers to get good marks and don't target just for pass marks. In physical and natural science diagrams will play major role. So try to learn diagrams daily and learn how to represent them perfectly in answer sheet of main exams. If it's possible then learn equations also in physics and clarify some expressions. Because they will also score good marks. Just follow guidance of your subject teachers on this topic to score good marks.

Some Final Quick Tips:

Don't be hurry and try to learn and do everything perfectly.
Keep in mind, practice well and be patience for success.
It's not necessary to read everything if you're an average student. Just read what important and care to you.
Do little hard work regularly before exams but take required rest.
First focus on various areas in all subjects that are most important and give good marks.
Keep your body healthy during preparation, revision and finally during exams.
Take good food daily to be healthy.
First answer only known questions and then try to attempt remaining unknown questions but don't leave them blank.
While appearing unknown questions don't write irrelevant matter and write only matter that related to given topic.
If you think you will fail in particular hard subject then try to secure at least pass marks in that subject that is 35 out of 100 that means 35% in total 100% but never back down.
If you feel it's hard to gain pass marks at least then try to learn multiple choice questions to get minimum pass.
We can say one thing that is SSC is a very easy course than your coming entire educational career. When we compare it with other higher education courses and exams the SSC exams are very easy to appear. So try to feel very comfortable with your subjects and learn with mind.
Invite your best friends and classmates to discuss and share something that is related to subject and that you have learned in that day. Just don't be selfish on this aspect and don't force them. Sharing is a way to expand your memory power and by doing like that you can remember anything long time.
In bit paper first answer known questions and then attempt remaining questions by selecting relevant or matching answers/ choices.
Its bit difficult to write answers for essay questions but try to write most important points in first two paragraphs in simple, meaningful and easily understandable (lucid) manner or sentence.
Write answers for short answer questions only in short format. By writing too much of content you will get caught by valuator and they'll award you only low marks for that one. So don't be crazy and try to be smart on that.
Before you learn mathematics first learn some equations. Don't underestimate the power of equations anymore. They all will do their great job in mathematics.

By following our above given golden preparation tips we hope you will understand how to prepare for SSC public exams easily and will get good percentage in your exams.

- We Wish You Very Best of Luck.

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GMAT Study Tips for International and ESL Students | Kaplan GMAT ...

Posted: 05 May 2014 07:00 AM PDT

I started my Kaplan career teaching in the Puerto Rico center, where most of my students knew English as a Second Language. The GMAT can be especially daunting when not the just the content or strategy, but the language itself intimidates you. Never fear – I've got some action steps to help you out.

1. Aim for total English immersion between now and GMAT Test Day.

Immersion means only English movies, English music, English radio, English-speaking friends, and English newspapers. You can absorb grammar and get a better ear for the language even in the short time between now and GMAT Test Day if you immerse yourself. Free resources abound on the internet: nytimes.com for reading, npr.org for radio (Fresh Air, Diane Rehm, and This American Life are great picks), free podcasts on iTunes, English music on pandora.com. The New York Times is especially important, since you need to be comfortable with high-level writing in the reading comprehension section. Nytimes.com is particularly helpful because double clicking on a word you don't know calls up a definition. Any improvements you make in vocabulary and reading comprehension will also help you once you get to business school.

2. Use your first language to help with vocabulary.

Particularly if you speak a Romance language, like French, Spanish, or Italian, you can use your knowledge of that language to guess on unfamiliar English vocabulary. My Spanish-speaking students had no problems guessing that lachrymose means tearful, because it sounds just like lágrimas, which is Spanish for "tears". Word roots will also come naturally to you, since they are often forms of words you already know.

3. Recognize that math vocabulary is as important as English vocabulary

You could be very strong in math, but if you studied it in a different language, you will need help with some terms. Many of my students in Puerto Rico knew odds and evens as pares and impares. The GMAT made more sense to them when they learned the English translations for unfamiliar math terms. When you encounter math terms you are unsure of, look them up. Also, practice accurately translating from English to Math on Algebra word problems – this is an extremely important skill to master for the exam.

4. Be extra-familiar with the Kaplan essay templates.

Simplicity and clarity are the keys to writing an essay in 30 minutes in a foreign language. First, make sure you understand the prompt. If you are enrolled in a Kaplan course, use the Kaplan Template for the essay and know that you will probably have to make use of all the time valves in order to finish. When writing, it is better to write something simple in English, as opposed to translating something complex from your own language into English. This is definitely something you will want to practice repeatedly under test-like conditions.

5. Know how to pace appropriately.

When reading questions and passages takes longer than average, pacing becomes more challenging. Make sure you input an answer for every question, even if you have to guess, since you don't lose points for wrong answers. Pacing on reading comprehension may be particularly tricky. Kaplan's elimination strategies for wrong answer traps on reading comprehension will really help you answer more quickly. Also, using the approaches for each reading comprehension question type will save you time. Put special emphasis on these facets of your study to make the most of the time you have.

The fact that English is not your first language may cause you anxiety when facing the GMAT, but ultimately it's something that you must make the best of. Following these strategies will allow you to do just that. Many speakers of English as a Foreign Language are accepted into MBA Programs every year and you should be among them!

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