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Monday, 22 September 2014

Making It All Add Up: Homeschooling <b>Tips</b> for <b>Math</b> - ParentMap


Making It All Add Up: Homeschooling <b>Tips</b> for <b>Math</b> - ParentMap

Posted: 11 Dec 2013 09:20 PM PST

homeschooling math

When I first decided to homeschool, I asked for a lot of advice from experienced homeschoolers because I was nervous:

Would my son learn to read? How would he make friends? Could I trust my own ability to guide his learning?

The enthusiasm of other parents was encouraging. They told me of chemistry experiments and trips to paleontology museums. Their kids were learning voraciously, and the adults were having fun. 

Until it came to math.

"Oh, we just give them some Saxon worksheets," was the most common response to my request for advice on a math program, and the distaste was palpable. Probe a little deeper, and parents told me more:

"I hate math." "I can't add." "I'm horrible at math." For them, math had become the same thing it had been to them as children: something to endure. 

Confession: I love math. I want my children to enjoy it, too, and to see a future in it as accessible as becoming a motorcycle mechanic, English professor, farmer, or corporate lawyer.

I also can't add. But math isn't about being good at adding, and an inability to add doesn't mean you can't teach your kids mathematics. 

Finding what works

In her book What's Math Got To Do With It? detailing findings from longitudinal studies on math education, Stanford professor Jo Boaler notes that Americans are familiar with two kinds of math: "the strange and boring subject that they encountered in classrooms and an interesting set of ideas that is the math of the world, and is curiously different and surprisingly engaging.

To teach math successfully, parents need to face down the voices in their heads that claim, I'm terrible at math, and experiment with materials that reflect the subject's multi-faceted reality.

Maura Muller, from Rock Hill, N.Y., is one parent who's managed to overcome her childhood experiences. She hated math growing up. "I had a terrifying nun who would slap our hands with a wooden stick when we got an answer wrong and tell us how stupid we were."

She didn't want her son to suffer the same math trauma, so tried to make math fun, reading books like Grapes of Math and The Adventures of Penrose, the Mathematical Cat, and later, as her son got older, The Man Who Counted and The Number Devil.

I spent months looking for an actual curriculum that was both engaging and rigorous. By chance I came across an article about JUMP, a program developed by a Canadian nonprofit. JUMP breaks math concepts down into tiny, digestible steps, meaning that kids can master each step individually without getting overwhelmed by larger concepts all at once — its advantage for homeschoolers is that adults who fear their own math abilities can do the same.

Delores Caesar, who began homeschooling her middle-schooler specifically because of concerns that her daughter was "slipping under the radar" by knowing facts but not understanding concepts in her math classes. This mom, from New York's Hudson Valley region, says she likes JUMP for daily lessons, but Math Mammoth and Critical Learning workbooks for an all-around deeper understanding of concepts. 

Grahamsville, N.Y.'s Vikki Siciliano, who was good at math as a kid but never enjoyed it, has been homeschooling for 16 years. Siciliano initially tried Saxon math, which her 5th-grade son hated because "it was so repetitive," but found the colorful, in-depth Scott Foresman program worked well for them. Two of her kids eventually became math majors.

For those who like formalized math lessons couched in more narrative form, Life of Fred has become a popular series. Maura Muller, who, with her husband, has been homeschooling their 13-year-old son for the past 5 years, switched to using Life of Fred after trying Singapore Math, which her family found "dry, boring, and repetitive." When her son moved into learning algebra, Muller picked up Math Doesn't Suck, by Danica McKellar, which is geared to teen girls but "makes us both laugh."

Muller also employs the techniques common with both rigorous and unschooling homeschoolers: using math in everyday life for activities like measuring out their garden, planning for Christmas shopping, cooking, and estimating miles per gallon for car trips. 

Practical teaching methods like these can go a long way to answering the question, "What am I ever going to use this for?" 

Hands-on learning

 "What absolutely did not work," says Delores Caesar, echoing many homeschooling parents, "is any online program. My nine-year-old just shut down looking at the screen."

The limitations of online programs such as Khan Academy and IXL speak to the importance of connecting mathematics to the physical world. 

Patrick Honner, who teaches math at public high schools in New York City, says that he would focus on exploring math "through things kids enjoy, like games, puzzles, paradoxes, physical situations." 

One successful program that reflects this approach is from Miquon Math Lab. Miquon was developed in the 1960s for use with Cuisenaire rods—wooden sticks in different lengths and colors representing the numbers 1–10.

I like using Cuisenaire rods because my son knows his "math rods" are a school-only activity, and we can break up lessons by letting him build with them.

Vikki Siciliano, who also used Miquon for her kids' early years, says she prefers using Duplo Legos with the program "because they're easier to manipulate." 

These tools can make a big difference for a child who thinks three-dimensionally, or who needs to grasp lessons physically before transferring the computations to paper. And blocks, tiles and linking cubes continue to benefit math learning well into middle school.

Reaching outside the home

If the thought of teaching your child math still makes you break out in hives, outsourcing is an option.

Vikki Siciliano says that a homeschooling friend of hers loathes math so much she hired outside tutors because she "was scared of pushing her own feelings about it on to her 14-year-old daughter."

And as the homeschooling student gets older, their abilities can outstrip the mathematics lessons based on worksheets, manipulatives, and gas mileage calculations. This is where parents can really use the support of homeschooling groups and the Internet. Particularly in math, many students learn better if they are solving problems and discovering mathematical questions in groups.

There are many blogs and websites run by mathematicians and teachers posing fascinating higher-level questions you won't find in textbooks. Patrick Honner's website regularly features math in art, as well as interesting mathematical questions and discussions.

Did you know there's more than one kind of infinity? Or that The Simpsons is packed with mathematical references because most of the writers were math majors?

Not just for homeschooling families, these resources offer all families the chance to think "out of the old-school box" when it comes to math. 

Changing your perspective

"Parents, especially mothers of girls, should never, ever say, 'I was hopeless at math!'" says Jo Boaler. Doing so "is a very damaging message, especially for young girls."

Boaler is sympathetic to parents who hate math, but she notes that many of the puzzles, games, books, and methods that make math learning fun and effective can work for parents, too. In short, you've got a chance to start your own math education over again. 

"At the heart of it, math is about the study of structure," says Kate Owens, who teaches undergraduate mathematics classes at the College of Charleston. "Most elementary school math is devoted toward studying the structure of rational numbers. But this is just one of many different structures that mathematicians study."

Whether that structure is used to figure out how many miles you can drive on a tank of gas, decipher mortgage applications, or build a foundation for later work on the Higgs-Boson particle, it is essential that the homeschooling teacher, or any parent who wants to support his or her child's math education, presents it as a subject worthy of enthusiasm.

If you give it a chance, you might find you're not so terrible at math after all. Even if you still can't add.


Antonia Malchik

Antonia MalchikFreelance writer Antonia Malchik has a BA in mathematics from Macalester College. She can be reached through her website, antoniamalchik.com.

Thursday, 11 September 2014

<b>Maths Tips</b> - Part 1 | Motion IIT JEE Blog


<b>Maths Tips</b> - Part 1 | Motion IIT JEE Blog

Posted: 11 Aug 2014 10:42 PM PDT

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.

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.

Active Involvement

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.

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.

Sunday, 7 September 2014

<b>Math Study Tips</b> for your HSC (Eww) | SIBT Students


<b>Math Study Tips</b> for your HSC (Eww) | SIBT Students

Posted: 17 Oct 2013 03:15 PM PDT

"A mathematician is a blind man in a dark room looking for a black cat which isn't     there."                                                                                       –   Charles Darwin

"A mathematical pun is the first sine of madness."                                  - Anonymous

Tetris is more fun than math.

The word "mathematics" has been threatening students for centuries. To help prevent common pre-exam symptoms of shock and horror, I've provided you with some CRUCIAL tips which will make your HSC less intimidating and ultimately help you achieve that outstanding test score.

What to expect. The paper will be out of a total of 100 marks, marks that will be harder to get as you progress (so don't get cocky at the beginning and zone out).

Take all the help you can get. There will be a list of Standard Integrals attached to your question booklet, so use it. Attempting to guess them when they are delivered to you is completely idiotic.

What's up for grabs?  The more marks a question is worth, the more love and devotion you should be showing it. If a question is worth more than one mark, you will be required to show your work for it. So show your work for it.

Calculator at the ready. Figure out if it's DEG or RAD you want to use and then make sure your calculator is in the right mode! There's nothing more upsetting than completing an exam and realising that every answer will be wrong because of your failure to press buttons correctly.

Find x

Basic steps. There is no point in doing the work if you're not actually answering the question. Read each question carefully, more than once if necessary. Write down the formula you are using for each question before you dive into equating and calculating willy-nilly.

Don't undo. Don't go wild with the eraser if you think something's wrong – you can still get marks for showing your work if you're demonstrating correct problem solving methods. Leave all your scribbling behind as proof that you do (if only partially) know what you're doing.

Re-check. Once you have completed every question, go back and check each one carefully, making sure you've answered all the components of a question. Use your calculator to re-trace your problem-solving steps and make sure you come up with the same solution. If you don't, you've got a little detective work to do to find out where you strayed from the path of correctness.

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5 <b>tips</b> for Solving <b>Mathematics</b> Problems <b>...</b> - OneClass Blog

Posted: 29 Nov 2013 12:17 PM PST

E

very student has had to study mathematics some point in their lives time. Some students love it and some students absolutely hate it. Regardless of what you are studying, it is important to understand the basics of mathematics.

7 tips for solving maths problems

1. We are talking about practice! Maths is not a game!

In order to properly study maths, you must get down and do as many practice problems as you possibly can. The more maths questions you do, the better your understand will be. Each maths problems has its own rules and it is important to know those rules before writing your maths tests and exams. OneClass provides students with practice problems – check it out!

2. Double loop learning – Don't make the same mistakes twice!

Let's face it. When you are solving practice maths problems, you are going to make mistakes. The great thing about making mistakes is that you are able to review these mistakes and learn from them so that you don't make the same errors on your maths tests and exams. Make sure you understand where you went wrong and ingrain that error into your head.

3. Unlock the key concepts

The last thing you want to do when you are studying maths is memorizing the exact processes. It is much more productive if you focus on understand that process and the logic that is associated with the process. Because maths is a sequential subject, it is important to understand the basics. If you are having difficulties solving complex problems, first try solving easier problems that focus more on the basics. You can review key concepts with OneClass Exam Video tutorials.

4. Understand your frustration points

Maths can be extremely frustrating at some points. Some concepts are extremely difficult and can leave yourself questioning "should I just quit?" It is very important to understand your points of frustration. You don't need to master every question. Move on to the next question, or go back to questions that you understand to help re-build your confidence. Absolutely do not give up!

If you find it helps, study with a friend so that you can talk to one another when you get stuck. It is also terrific practice if you are able to explain concepts to another person to help perfect your understanding.

5. Find the perfect study spot

Students need to be able to concentrate wen studying maths. It is crucial for you to find a study area that is a distraction free zone. Music can help when studying, but make sure that it is not distracting you.

Last updated by at August 12, 2014.

Nov 29, 2013 John Tan

Saturday, 6 September 2014

JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA


JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA

Posted: 16 Apr 2014 12:00 AM PDT

bnr

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.

Why Do We <b>Study Mathematics</b>? | Online Learning <b>Tips</b>

Posted: 11 Jul 2012 06:00 AM PDT

There are many answers to this question. Some would think that it's just to pass the next quiz or final examination so they can move on to the next course in their program of study. Others will say it is totally unnecessary; and still others will claim they need math to balance checkbooks or for a promotion… There isn't a single answer that fully addresses the question, but there are many reasons that every student will come to appreciate math as they move forward with their academic endeavors.

Using Math in Everyday Life

Mathematics is an essential discipline in today's world. It is a powerful tool for understanding the world around us and our perspective of the important issues facing us as individuals, families, businesses, and nations. Math surrounds us; we see and use math skills and capabilities every day—from balancing our checkbooks to advertising agencies to doctors; from retailers to builders, lawyers and accountants. Everyone needs some level of specific mathematics knowledge. Most professions use math to perform their job better and to get ahead in the world.

Analytic Skills Obtained from Math in School

To succeed in college, there are general education mathematics requirements that help students develop critical thinking and quantitative analysis skills. Every university has general knowledge course requirements. American Public University requires that all students complete at least three semester hours in their mathematics general education. These general education courses develop the skills that students need during their more specific program courses. The general courses include computational skills, problem solving, data analysis, pattern recognition, and learning how to approach and solve complex problems.

Some mathematics courses are required as prerequisites for certain courses in your degree program. You won't be able to register for and pass some upper-level courses in your degree program unless you learn the required math concepts used in those courses. As an example, a student studying orbital dynamics must have a firm understanding of algebra and trigonometry, and a social scientist needs to comprehend the foundations of statistical analysis. As you proceed toward your degree, you will find that you need the technical and computational skills learned during your mathematics courses.

Technology and Logic

Technology is changing rapidly and the basis of many of these technological changes is mathematics and logic. These changes are so rapid that it would be difficult to predict the skills that people will need in the future workplace or at home in the coming years. But a good basis in mathematics, statistics, and technology will keep you agile enough to adapt to the advances in technology.

Blending Historically Implied Math with Current Concepts

Mathematics has evolved over many centuries to help solve problems. Math teaches us to think logically; to identify and state the problem clearly; to plan how to solve the problem; and then to apply the appropriate methods to evaluate and solve the problem.

We learn to evaluate and draw conclusions based on our knowledge. We are surrounded by a large number of statistical data and studies. To be a successful student and also an informed citizen, we should be able to evaluate these studies and the data they present in order to decide what is true or reasonable. Mathematics help you recognize mistakes in thinking or analysis that we encounter in our lives. How many advertisements or political polls have you seen lately? Do you have the quantitative skills to evaluate their messages? Mathematics can help.

Where Else is Math Applicable?

Math is more than a subject that everyone in school needs to take. Many believe that math is only needed in the Science, Technology Engineering and Mathematics fields (STEM). That's true, math is absolutely essential in those fields, but it is also needed in many other fields including economics, many of the social sciences such as psychology and sociology, and in many of the arts and humanities disciplines including art, music, and mass communications. Mathematics has been called "the universal language".

Numbers and mathematics help us keep score—not just in sports contests, but in measuring money, time, distance, cooking and baking, balancing a checkbook, planning an improvement project, and buying the necessary materials. Building a new deck on your house or finding the amount of material to build a fence are both good examples of mathematics in our daily lives.

Logic and quantitative reasoning attained in mathematics courses helps us make better decisions. Learning how to solve the hard challenges is an asset that will pay dividends throughout our lives. These challenges may be a complex statistical analysis or one of the many challenges you face in your life.

We also use numbers and mathematics for leisure. We play card games, electronic games, crossword puzzles, and Sudoku's. They all share a common element of mathematics.

In summary, a solid foundation in mathematics is an essential skill for students pursuing any academic degree and that same quantitative capability is necessary for success in life as well. University mathematics courses prepare students for both of those very important reasons.

By Bill Owen
Program Director for Mathematics, American Public University

As an adult educator, Mr. Owen's focus is on the use of sound analytical and managerial techniques to solve complex business and management issues.  For the past four years he has served as the Program Director for the Mathematics Department, School of Science and Technology at American Public University System. He has a Master of Education in from the University of Oklahoma, he's attended the John F. Kennedy School of Government, and he has a Master of Science in Operations Research from the Georgia Institute of Technology.

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Why Should I <b>Study Mathematics</b> in College? | Online Learning <b>Tips</b>

Posted: 04 Jun 2013 11:12 AM PDT

taking-math-in-collegeBy Dr. Tiffany DePriter
Mathematics Instructor, American Public University

Many people think mathematics is difficult to learn. It involves complex formulas and procedures and has little to no relevance to our daily lives. The truth is that mathematics goes well beyond complicated number crunching and serves as a foundation for many academic disciplines.

We all need mathematics skills

Have you ever considered purchasing a house, investing for retirement, or taking out a vacation loan? If so, then you've encountered mathematics. Have you made home repairs, like tiling a floor or planting a garden? If so, then you've used mathematics. While these examples highlight the practical use of mathematics, there is also underlying conceptual knowledge that extends beyond the mathematics classroom as well as the backyard garden.

Mathematics helps us to think critically and logically. It develops our problem solving skills, forcing us to think through a problem from beginning to end, methodically work through steps to solve the problem, and then check our work for accuracy. Being able to think and work in such a way is beneficial to any field.

Critical thinking skills are highly sought after by employers. Also, mathematician was recently ranked as one of the best career options. So whether you want to learn to be a better problem solver or move into a career that relies on having a sound mathematical framework, mathematics is a field that should be considered.

Learning math is like learning a language

Would you ever enroll in Spanish III if you haven't taken Spanish I or II? Could you have a conversation in Arabic without first having studied the language? Similar to a foreign language, mathematics is a language unto itself. First we learn the numeration system, then basic computation notation, and move to more advanced concepts. Learning to "speak" math takes time and practice, just like learning to speak a foreign language.

In a college mathematics program, a student might start with algebra, geometry, or trigonometry; move through the calculus sequence; and then tackle higher level mathematics such as real analysis and differential equations. Each of these courses builds on the previous courses. Students cannot master advanced concepts if the basics are not first learned and mastered.

[see also: Will I Use Algebra in my Everyday Life?]

We know that once language is learned and developed, it becomes second nature to speak, write, and communicate. The same is true of mathematics. While at first it might seem difficult to understand the rules of mathematics, with practice they too become second nature and will be your new language.


About the Author:

Dr. Tiffany DePriter is an Associate Professor of Mathematics in the School of Science and Technology at American Public University. She has a bachelor's degree in mathematics, a master's in distance education, and holds a Doctor of Education degree in Mathematics Education.  Dr. DePriter has been teaching mathematics online for the past five years with American Public University.  

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Wednesday, 3 September 2014

<b>Study</b></b> GRE <b><b>Math</b></b> | Magoosh GRE Blog - <b>Tips Study</b> <b>...</b>


<b>Study</b></b> GRE <b><b>Math</b></b> | Magoosh GRE Blog - <b>Tips Study</b> <b>...</b>

Posted: 20 Aug 2014 07:03 AM PDT

So you've bought a few of the major test prep books, and you're ready to rip into the quantitative part. You'll read through each book, page by page, and by the end, GRE math mastery will be yours. If only!

Studying for GRE quant is actually much more complicated than the above. Indeed many become quickly stymied by such an approach, feeling that after hundreds of pages and tens of hours they've learned very little, and asking themselves … "But, how can I ever learn GRE math?!"

To avoid such a thing befalling you, keep in mind the following important points on how to study for the GRE quantitative section (and how not to!).

The GRE Math Formula Trap

How can formulas be bad, you may ask? Aren't they the lifeblood of the GRE math? Actually, formulas are only so helpful. And they definitely aren't the lifeblood of the quant section. That would be problem-solving skills.

Many students feel that all they have to do is use the formulas and they can solve a question. The reality is you must first decipher what the question is asking. Only at the very end, once you know how the different parts come together, can you "set up" the question.

All too often, many students let the formulas do the thinking. By that I mean they see a word problem, say a distance/rate question, and instead of deconstructing the problem, they instantly come up with d(distance) = r(rate) x t(time) and start plugging in parts of the question. In other words, they expect the question to fall neatly into the formula. To illustrate, take a look at the following question:

Two cyclists, Mike and Deborah, begin riding at 11:00 a.m. Mike rides at a constant rate of 40 kilometers per hour (kph), and Deborah rides at a constant rate of 30 kph. At noon Mike stops for lunch. At what time, will Deborah pass Mike, given that she continues at a constant rate?

Students are tempted to immediately rely on the d = rt formula. They think: Do I use the formula once for Mike and once for Deborah? Or just once? But which person do I use it for?

This an unfortunate quandary; the solution to the question relies on figuring out how many miles Mike has gone in one hour and how many miles behind him Deborah is (there is no formula for this conceptual step). Only at that point, does one use the d = rt formula. The answer, by the way, is 12:20 minutes.

This is but one example from one concept. But if you find yourself stuck in a problem with only a formula or two in hand, remember that the essence of problem solving is just that: solving the problem using logic, so you can use the formula when appropriate.

How to study for GRE math? Use training wheels!

Many students learn some basic concepts/formulae and feel that they have the hang of it. As soon as they are thrown into a random fray of questions, they become discombobulated, uncertain of exactly what problem type they are dealing with.

Basic problems, such as those you find in the Manhattan GRE math books, are an excellent way to begin studying. You get to build off the basic concepts in a chapter and solve problems of easy to medium difficulty. This phase, however, represents the "training wheels."

Actually riding a bike, much like successfully answering a potpourri of questions, hinges on doing GRE math practice sessions that take you out of your comfort zone. In other words, you should try a few questions chosen at random. Opening up the Official Guide to the GRE and doing the first math questions you see is a good start. Even if you haven't seen the concept, just so you can get a feel for working through a question will limited information.

Oftentimes students balk at this advice, saying, "but I haven't learned how to X, Y, or Z yet." The reality is that students can actually solve many problems based on what they already know. However, because the GRE "cloaks" its questions, many familiar concepts are disguised in a welter of verbiage or other such obfuscation.

GRE Quantitative Section Tunnel Vision

Some students become obsessed with a certain question type, at the expense of ignoring equally important concepts. For instance, some students begin to focus only on algebra, forgetting geometry, rates, counting and many of the other important concepts.

This "tunnel vision" is dangerous; much as the "training wheels" phase lulls you into a false sense of complacency, only doing a certain problem type atrophies the part of your math brain responsible for being able to identify the type of question and the steps necessary to solve it.

The Really High-hanging Fruit

This is a subset of "tunnel vision." Really speaking, it is a more acute case. To illustrate, some students will spend an inordinate amount of time learning permutations and combinations problems. The time they could have spent on more important areas, such as number properties and geometry, is squandered on a question type that, at most, shows up twice on the GRE.

The metaphor of the "really high-hanging fruit" captures this aptly: Would you climb to the very top of the tree to grab the meager combinations/permutations fruit, when right within your grasp are the luscious number properties fruit?

Bad GRE Math Prep Sources

Many of the sources out there do not offer practice content that is as difficult as what you'll see on the test. Some, such as Princeton Review, offer a meager number of sets with a mixture of questions types. Basically, the book never takes you out of the training wheel phase.

Other content has questions in which you can easily apply a formula without first having to "crack" the problem. Again, such books will leave you woefully unprepared for the actual GRE.

About the Author

Chris Lele has been helping students excel on the GRE, GMAT, and SAT for the last 10 years. He is the Lead Content Developer and Tutor for Magoosh. His favorite food is wasabi-flavored almonds. Follow him on Google+!

<b>Math Study Tips</b> for your HSC (Eww) | SIBT Students

Posted: 17 Oct 2013 03:15 PM PDT

"A mathematician is a blind man in a dark room looking for a black cat which isn't     there."                                                                                       –   Charles Darwin

"A mathematical pun is the first sine of madness."                                  - Anonymous

Tetris is more fun than math.

The word "mathematics" has been threatening students for centuries. To help prevent common pre-exam symptoms of shock and horror, I've provided you with some CRUCIAL tips which will make your HSC less intimidating and ultimately help you achieve that outstanding test score.

What to expect. The paper will be out of a total of 100 marks, marks that will be harder to get as you progress (so don't get cocky at the beginning and zone out).

Take all the help you can get. There will be a list of Standard Integrals attached to your question booklet, so use it. Attempting to guess them when they are delivered to you is completely idiotic.

What's up for grabs?  The more marks a question is worth, the more love and devotion you should be showing it. If a question is worth more than one mark, you will be required to show your work for it. So show your work for it.

Calculator at the ready. Figure out if it's DEG or RAD you want to use and then make sure your calculator is in the right mode! There's nothing more upsetting than completing an exam and realising that every answer will be wrong because of your failure to press buttons correctly.

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Basic steps. There is no point in doing the work if you're not actually answering the question. Read each question carefully, more than once if necessary. Write down the formula you are using for each question before you dive into equating and calculating willy-nilly.

Don't undo. Don't go wild with the eraser if you think something's wrong – you can still get marks for showing your work if you're demonstrating correct problem solving methods. Leave all your scribbling behind as proof that you do (if only partially) know what you're doing.

Re-check. Once you have completed every question, go back and check each one carefully, making sure you've answered all the components of a question. Use your calculator to re-trace your problem-solving steps and make sure you come up with the same solution. If you don't, you've got a little detective work to do to find out where you strayed from the path of correctness.

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