Thursday, April 12, 2012

How Mathematics Help Brain Concentration & Memory


Math is one of those charged words that make people either excited or queasy. For the people who have no trouble thinking logically and can problem solve using different skill sets math is a fun and engaging exercise that helps form new ideas, solve complex problems and create new ways of thinking. However math can also be very intimidating and reduce even intelligent people to tears trying to factor for "x".

Unfortunately the way math is taught in most public school systems it really is a matter of you get it or you don't. While some people genuinely display a high aptitude for mathematics it doesn't mean that people who aren't as gifted with numbers can't grasp the basic concepts of math and use simple problems to help improve several areas of their brains including spatial relationships, cognitive ability and problem solving.

A common gripe regarding math is heard by plenty of school children who rightly ask 'when will I ever need this'. It's a fair question since life isn't laid out like an equation and we rarely are asked by a retail clerk if we'd like to see a variable of the product we are interested in. However, what math essentially teaches us is how to use our brain's ability to problem solve, which is absolutely necessary to make it through every day life.

When looked at from a mathematical perspective life is really a series of problems for us to overcome: what will we eat, how will we get the food to eat, how do we prepare the food, what do we do with leftover food... these apparently mundane and trivial tasks are actually quite complex functions in the brain that require a string of neurons and code that make us capable of going to a store, buying a chicken, cooking it and storing the leftovers. Surprisingly enough these simple tasks can become rather difficult when stress is factored in. Being able to streamline our thoughts to make better decisions is where math problems come in to play.

When you train your brain by using simple math problems you actively exercise several areas of the brain that are responsible for decision making, thought processes and critical analysis. Math whether it is geometry, algebra or calculus sharpens the mind by forcing the brain to think differently for ways to solve different problems. The more skilled you get at solving problems the more difficult challenges you will be prepared for. Instead of seeing numbers and variables try to look at math as tasks that need solutions. Another trick to making math easier to understand is to not only think of the numbers in terms of money (a concept most people can grasp) but as your money therefore making it relevant to you specifically. When you see how math affects every aspect of daily life then you will begin to understand how equations aren't set up to confuse you but to help train your brain to think through problems using all the resources your brain contains.


Wednesday, April 11, 2012

Do SAT Preparation Courses Really Work?


For decades, colleges have relied upon the SAT Reasoning Test as a tool for determining a student's eligibility for enrollment. Not surprisingly, courses of all shapes and sizes have emerged professing the ability to markedly improve student scores. In parallel to the claims of the SAT preparation courses has been the mantra of those who suggest that, not only are SAT courses unable to significantly raise test scores, but that the SAT is a "pristine" exam immune to such efforts. In order to answer the question "Does SAT preparation really work?" it is necessary to carefully consider the positions of both camps.

One might argue that, as a seasoned SAT expert, author, and instructor, I have a particular interest in promoting the virtues of SAT prep courses in general, but this could not be further from the truth. What almost three decades of SAT preparation expertise has instilled in me is an interest in promoting effective SAT courses and steering students away from so many ineffective options. Those courses that routinely fail to produce desired results are detrimental to the test preparation industry as a whole! Any objective discussion of SAT preparation success or failure must begin with a consideration of statistics. Some "experts" have suggested a very simple study involving a few hundred students, some of whom receive coaching and some of whom do not. The results can then be statistically analyzed to determine whether or not SAT preparation really works. Sounds simple, logical, and fair, right? Wrong! In fact, such a simplistic compilation would result in grossly inaccurate, misleading data and erroneous conclusions. While I applaud the idea of an unbiased, statistical evaluation, a truly fair and accurate study would prove to be profoundly complicated and complex.

Here's why. In order to begin such an analysis, one would first have to sift through literally hundreds of SAT courses to find a suitable preparation vehicle. The sad truth is that a great number of SAT courses simply do not work, and some of them are miss the mark entirely. Approximately fifteen years ago, one of the major financial periodicals published an eye opening expose' concerning the plethora of ineffectual and, perhaps, fraudulent SAT coursework on the market at that time. I dare say that, today, those numbers seem to be on the increase. Armed with false promises and fictitious data, such organizations bilk customers out of thousands of dollars, yet are no longer limited to small, local, no-name organizations. Students who unknowingly subscribe to such programs typically assimilate little or no insight into the nature of the SAT test itself and realize little or no score improvement. Whenever I interview students who have come to me after completing any SAT course, I routinely ask a few fundamental questions such as "How many sections comprise a typical SAT?" Amazingly, more than half of those students are completely unaware of the structure of the exam! Would it be fair, then, to include data from such courses in a statistical analysis?

Let us not forget to include many high school-generated prep courses among the ineffective. Those make-shift (albeit well-intentioned) programs, which the schools once offered free of charge but can now cost hundreds of dollars, lure thousands of students each year! The problem with these courses is that, by and large, high school mathematics and English teachers (not SAT experts) present the coursework. While these teachers may be highly-skilled educators with considerable knowledge and expertise in specific subjects (algebra, geometry, writing, grammar, etc.) they are generally untrained in the explicit reasoning skills necessary to master the SAT. Practically every student whom I have interviewed who has attended such a course has felt that the preparation was at best a waste of time. Indeed, some have emerged discouraged, disgruntled, and opposed to any further preparation! Are we also to include those data in an objective analysis?

And what about the group-oriented programs that routinely hire SAT instructors of limited insight and experience? A few years ago, a woman boasting of a whopping six-months' SAT instructional experience, called me requesting employment. Although I certainly did not hire her, I would bet that a number of companies would be perfectly willing to do so in spite of her extremely limited experience (expertise is so very important that I never permitted any of my tutorial staff to teach SAT prep). Are those companies to be ranked equally with the one-to-one preparation of seasoned SAT experts? To understand this, let's consider dining as an analogy. No one would believe a fast-food chain to be comparable in quality to a five-star restaurant, but the fast food joint does have several major advantages. A large fast-food chain can serve far more customers than can a single dining establishment, and can do so at a considerably lower price. A customer willing to sacrifice quality for price and availability would be far better served at such an establishment.

Does the analogy extend to SAT preparation, however? In some cases it does. A number of SAT experts are simply too high-priced ($400-$500 per hour) for the average customer, and have chosen to offer their services to those willing and able and afford them. When it comes to SAT coaching, however, price is not at all a definitive indicator of quality. Some of the most highly skilled experts offer their services at relatively moderate prices (comparable to those of the "fast-food" courses), while certain neophytes are happy to charge exorbitant prices! Clearly, no rational person can justify lumping such diverse data into the same statistical bundle while, at the same time, professing to objectively analyze the general effectiveness of SAT preparation coursework.

In addition to discussing the disparity in quality among SAT programs, we must also consider that of the students themselves. Even the best of SAT courses will inevitably entertain a certain number of unmotivated clients, and compliance has always been a primary component of SAT preparation. Although a number of SAT "programs" promise success with little or no study or homework (indeed, some profess to prepare a student in a weekend or two) no legitimate SAT course can offer something for nothing. A student unwilling to complete his or her assigned work is unlikely to show a major improvement in score. There are also certain numbers of students with inherent learning difficulties. Those students may to show less improvement than students of average ability. Is it fair, therefore, to include all students in an overall analysis?

This brings me to another important factor in determining the success or failure of an SAT preparation course. Just how does one evaluate improvement? Unaware that I am an SAT instructor, a representative from another SAT prep company contacted me recently peddling his company's services on the promise that a student will improve his or her score by at least 100 points. So I asked him, "If a student came to you with a prior score of 2300, do you promise a perfect score of 2400 upon the completion of your coursework?" Not surprisingly, his answer was "Well...er...no." I then asked him whether a student can expect a 2300 if he or she started with a 2200. Although I did not set out to put this fellow on the spot, I did intend to point out the sheer ludicrousness of his company's promises. As SAT scores increase, incremental improvements are, naturally, much smaller. Indeed, a fifty point increase from 2100 to 2150 may be just as significant and may require just as much diligent study and effort as does a 200 point increase from 1700 to 1900! So where exactly does one begin to evaluate the significance of score improvement? In the absence of complicated statistical adjustments, gifted students with high initial SAT or PSAT scores would actually diminish numerical averages even though those students may have experienced satisfying increases in total score!

Unaware of such statistical complexities, well-intentioned parents routinely inquire as to a particular instructor's rate of success. Understandably, potential clients would like to know the average increase in score that they can expect after taking a particular course. I am sure that, to some of these folks, my answer must sound somewhat convoluted. On one hand, I can certainly say that the majority of my students show a marked improvement in score, but I cannot present any hard numbers without meticulously filtering the data. In the absence of my deleting unmotivated and learning disabled student performances and adjusting for high initial scores, the numbers would be misleading, and I am sure that this dilemma extends to other SAT courses as well. Therefore, when a parents make such a request (as all prospective clients should), I give them a reasonable estimate of expectation based upon students who are similar in scholastic performance, motivation, etc. to their students.

Hopefully, one can now begin to appreciate the fallacies and limitations associated with simple statistical analyses. Depending on the variables selected and controlled, a simplistic compilation and analysis could produce dramatically varying results which would, in turn, lead to erroneous conclusions. If one were somehow able, however, to eliminate from the equation all of the factors that would unfairly diminish the averages, it is my contention that one would notice a remarkable average increase in performance after completing a legitimate, high-quality SAT program taught by a seasoned SAT expert, but the experimental conditions would, by definition, remain extraordinarily complex.

That said, let us turn our attention to those who, even to this day, insist that it is virtually impossible to significantly improve an SAT score. In 1995, the same year that the College Board changed the test title from SAT to SAT 1 and altered the test format, I began to hear rumors that the new design was supposed to be preparation-proof. Those rumors turned out to be utter nonsense (the newer format actually proved somewhat easier to prep than was its predecessor), but it is interesting that someone, somewhere, had felt compelled to circulate them. Thankfully, one hears such nonsense less frequently today than a decade ago, but some folks still believe in the "pristine" nature of the SAT and continue to disseminate the rumors. Although, we may never know the source of that myth, we are well aware of its impact... every year, the misassumption that the SAT is not teachable prevents some sadly misled students from actively working to improve their scores!

In the early 1990s, rumors began to circulate suggesting that the College Board (the company that designs and administers the SAT), in an effort to promote the purity of the SAT test design, might have been one of the original proponents of this myth. These rumors may have been the result of the notion that, if the College Board were to have admitted that SAT preparation courses were valuable assets in improving scores, such an admission would be tantamount to an acknowledgement that the test was not even close to being the "pristine" evaluation tool that, ideally, many people thought that it should have been. Such an admission would, in turn, open wider the Pandora's Box of cultural and economic bias claims... "The rich can afford the prep courses that will ultimately get a student into a prestigious college or university." Nonetheless, whether or not College Board originally promoted the notion of a pristine test, it clearly has not done so for many years. As a matter of fact, the College Board currently markets its own SAT preparation coursework, an indirect suggestion, that one can, indeed, improve one's scores through study and practice!

Yet, in spite of overwhelming evidence substantiating the value of good, solid, SAT-specific preparation, there are still those who diminish or even deny it. Although relatively few in number today, those who would oppose SAT preparation coursework tend to fall into one of two categories: parents who, after subscribing to such a course, have witnessed poor results, and high school counselors and teachers who, years ago, had fallen for the rumors but who have never taken a hard look at the facts.

And those facts are becoming more and more evident each year...the SAT would seem to be a test that yields readily to proper study protocols. Pragmatically speaking, is it not reasonable to suggest that, if SAT preparation truly cannot significantly improve a score, then no one would improve as a result of such preparation? The fact that so many students do improve, however, attests to the value of SAT prep. Although statistics suggest that a score may increase by as much as forty points (about four correct answers) by simply retaking the test, those statistics do not account for the 100-400 point increases that seasoned, professional SAT experts routinely produce. Moreover, merely retaking the test without concerted study is no more than a toss of the dice; a student may or may not improve (and may do even worse). I recall a seventeen year-old high school student who had come to me after taking the test five times and getting roughly the same score at each sitting. That is not an isolated incident, either. Rarely have I seen a student improve his or her score by merely retaking the test!

Clearly, therefore, there are important factors to consider before subscribing to an SAT preparation course. An inappropriate or hasty decision is likely to result in a dismal, discouraging outcome. The following is a list of criteria that I recommend any student interested in preparing for the SAT Reasoning Test take into consideration:

1. Accept the fact that not all SAT prep courses (including some of the more popular ones) are likely to produce substantial results. Avoid the temptation to subscribe to a particular course simply because "everyone else is" or because "the company has made an elaborate presentation at your high school or because you have seen or heard advertisements promising results.

2. Seek a one-to-one or small group environment with a specific, seasoned SAT expert (not merely "someone on staff"), and be sure to inquire as to the number of years that the instructor has coached SAT.

3. Plan on several months' training (typically one or two sessions per week). Most students simply cannot assimilate SAT skills in a few short sessions or in an accelerated program of daily coaching.

4. Be committed to a concerted practice regimen... Input increases the probability of a desired outcome.

5. Beware of programs that "guarantee" results. Some courses may promise a small increase in score that may sound substantial to an unsuspecting client. Does the guarantee really mean, however, that a client will get a full refund if the student does not achieve a certain score, or does it simply mean that the student can sit through additional classes free of charge? The important point here is that there is no way that any SAT program can be certain that a student will show marked improvement.

6. Be suspicious of courses eager to accommodate a student's every whim. While such "feel-good" programs may appear to be client-oriented, they are probably not results-oriented. Remember that students will typically do as little work as they are permitted to do, so it is up to the instructor to maintain a reasonable amount of control and to expect a specific level of compliance.

Although I certainly allow for a limited amount of flexibility, as a general policy I will not work with students unwilling to accept all of the terms listed above. Experience has taught me that any student who does not commit to a strict protocol will simply waste time and money and will occupy an appointment slot that a serious student could use. For students eager and willing to put their shoulders to the wheel, however, SAT prep can be a remarkably rewarding venture. The key is to shop carefully, be selective, and work hard.


Tuesday, April 10, 2012

I Am Having Trouble in Math Class, I Want to Ace My Mathematics Final, I Studied All Night


Okay so, let's say you are having trouble in your mathematics classes, and you want to ace the final exam, but you are just having one heck of a time trying to memorize all the equations you need for all the different types of problems. Well, if you have solid algebra skills, and are good at factoring, you should do fine as soon as you learn the formula's right? I agree and so maybe we should discuss a little bit about how the logical part of your brain works, and why staying up all night, the night before your exam may not be so wise.

First, it is perfectly natural to have trouble sleeping the night before an important day, and a math final is exactly that, as how well you do in math matters very much in success in life. Now you might feel better if you stay up all night studying, and you will be telling yourself that you are really learning and you are going to ace that test, but the reality is that you are more likely to do poorer on it if you lack concentration and make silly mistakes causing you to miss answers.

You see, proper human health sleep is required, and just like any long-distance truck driver will tell you it is a matter of conditioning how long one can stay up and remain in solid concentration. If you don't often stay up all night studying, I wouldn't make a special exception for the test, no matter how much caffeine you throw into your system.

The U.S. Navy had done many tests in World War II, and during the Vietnam War, along with the U.S. Air Force on how long pilots could stay mentally prepared for combat. There were all sorts of chemicals induced into the brain, and even to this day they study these kinds of things. It is amazing what the human brain can do when put under certain circumstances.

Still, proper sleep, even 10 hours before the test, with 2-hours to become fully awake will help you do better on that test and improve your concentration during the test. Those folks who do stay up and all night will find that much of their memory may not work as well as they had hoped for during the test, therefore even though they have put in all that time studying, they may not do as well.

Mathematics and classes which require logic skills are not the ones you should pull all-nighters for the night before the final exams, because they require a lot of concentration, and accuracy, something that you lose when you don't get enough sleep, and Red Bull, aside, I'd recommend not to go there. Study and learn your math the right way, it's one of the most important subjects. Please consider all this okay?


Monday, April 9, 2012

I Am Having Trouble in Math Class, I Want to Ace My Mathematics Final, I Studied All Night


Okay so, let's say you are having trouble in your mathematics classes, and you want to ace the final exam, but you are just having one heck of a time trying to memorize all the equations you need for all the different types of problems. Well, if you have solid algebra skills, and are good at factoring, you should do fine as soon as you learn the formula's right? I agree and so maybe we should discuss a little bit about how the logical part of your brain works, and why staying up all night, the night before your exam may not be so wise.

First, it is perfectly natural to have trouble sleeping the night before an important day, and a math final is exactly that, as how well you do in math matters very much in success in life. Now you might feel better if you stay up all night studying, and you will be telling yourself that you are really learning and you are going to ace that test, but the reality is that you are more likely to do poorer on it if you lack concentration and make silly mistakes causing you to miss answers.

You see, proper human health sleep is required, and just like any long-distance truck driver will tell you it is a matter of conditioning how long one can stay up and remain in solid concentration. If you don't often stay up all night studying, I wouldn't make a special exception for the test, no matter how much caffeine you throw into your system.

The U.S. Navy had done many tests in World War II, and during the Vietnam War, along with the U.S. Air Force on how long pilots could stay mentally prepared for combat. There were all sorts of chemicals induced into the brain, and even to this day they study these kinds of things. It is amazing what the human brain can do when put under certain circumstances.

Still, proper sleep, even 10 hours before the test, with 2-hours to become fully awake will help you do better on that test and improve your concentration during the test. Those folks who do stay up and all night will find that much of their memory may not work as well as they had hoped for during the test, therefore even though they have put in all that time studying, they may not do as well.

Mathematics and classes which require logic skills are not the ones you should pull all-nighters for the night before the final exams, because they require a lot of concentration, and accuracy, something that you lose when you don't get enough sleep, and Red Bull, aside, I'd recommend not to go there. Study and learn your math the right way, it's one of the most important subjects. Please consider all this okay?


Sunday, April 8, 2012

How to Approach Math Word Problems on the Pharmacy Tech Exams


The Big Secret: Don't think about the problem until you write down all of the factors.

Sounds too easy, right? But it's where everyone gets stuck. Start by carefully reading over the entire question from start to finish and decode the important factors. Then, go back and slowly read it again, writing down only the necessary factors. Factors aren't just numbers, but also things like days, percent signs, p.m., or whatever will help keep things straight for you. Also, neatly write numbers below or above numbers that will be added or subtracted and set-up any fractions.

Write an Equal sign where it belongs

This is critical; the equal sign is like a trigger to our brains that we've been taught since 3rd grade. Now that the problem is written in terms with an equal sign in place, the light will generally go on and you'll start working the problem. From here, the only hang-ups you may encounter are things like not knowing conversions or needing to convert to all like factors. Even if you write down the factors wrong the first time, you'll likely see how to re-arrange them and get started.

Sloppy writing is not allowed in math:

Your success at math is contingent on writing all of the factors neatly and organized. When you come across a math word problem, the first thought that should come into your head is to grab for a piece of paper to write it out. As you jot it down, write neatly and leave yourself some space between lines.Beware: Exam writers prey on your bad habits.

When I create practice math word problems for the free practice exams, I have to think up three dummy answers. How do I do it? It may sound sadistic, but I try to consider what answers would come up if someone was sloppy. I think about things like if a factor was left out, or if someone did the equation in a rush, or their head. Exam writers who write for official exams do the same thing. After all, the exams are used to weed out unqualified applicants. If you want to pass the exam, get in the practice of writing things down completely, neatly and organized.

When you get to a question that's a math word problem.

First, relax and know that all of the facts are in there for you to solve it. Then take a deep breath and follow these steps: Don't try to rush or use a short-cut

Read it at least twice

Write down the only necessary factors

Put an equal sign where it belongs

Do the Math

Need some more Pharmacy Tech math practice?

For more FREE help with Pharmacy Technician Math, visit http://www.pharmacy-tech-study.com. You'll find a complete review of math including fractions, percentage concentration calculations, algebra and much more.


Saturday, April 7, 2012

Here's a Way How You Can Compare Different Graphing Calculators


The cost of graphing calculators that are widely used in schools and colleges can vary a lot. In fact, these changes are dependent on built-in algorithms and customizable options that are present in these calculators. It is these options that make calculators a desirable device to solve complicated math that one gets to encounter almost daily. According to a rough estimate, these calculators can cost you anywhere between $55 and $250. When there is such a difference in the price rate of these models, it is apparent that the costlier ones have added features that are totally absent in lower range models. Hence, it is very important to compare different graphing calculators to get the best out of them.

One of the best ways to kick start your comparing process is to look at the onboard memory of the calculator. Don't be surprised to see plenty of options here. HP is a known player in this segment. This manufacturer produces calculators with different memory capacities. They have calculators that have a memory capacity of 32KB all the way up to 1.3MB. The greater the memory capacity, larger will be its storage capacity for calculator games, onboard notes and other extra applications. If you are sure that you will not be required to add extra notes or programs, get a lower-capacity model through which you can save lots of money.

Connectivity options are another aspect you need to go through while comparing different graphing calculators. This is particularly a relevant factor for anyone who intends to upload custom programs. Make sure that you compare the 4-pin connectivity, 10-pin, and USB for each of these graphing calculators. At the end of the day, the chosen calculator has to be able to hook up to your computer easily.

You also need to watch out for different built-in equations and functions. Most of these details can be found out in the packaging itself. The manufacturer in all probability would have indicated the type of math it is designed for. Most of the graphing calculators that are manufactured these days are able to carry out simple tasks related to statistics and algebra. However, to carry out complicated tasks related to calculus, trigonometry, and geometry you might need the help of higher-end graphing calculators.

Once you buy a graphing calculator you cannot leave behind its accessories far too away. While you are doing shopping for graphing calculators make sure that you don't place too much attention at its sticker price. You might always feel the need for extra batteries for power, cables for computer, and even a carrying case for portability. Opting for a package that gives all these accessories and more at a higher price is a far better option than picking all of them individually and at different prices. If you want to make use of your graphing calculator for specific tests like ACT or SAT, make sure that the chosen calculator is on the approved list. For this, you will need to check the manufacturer's website or calculator's package.


Friday, April 6, 2012

What Makes Algebra So Difficult For Kids To Understand And Challenging for Teachers To Teach?


At first glance this seems to be another Chicken or the Egg situation. Are kids not understanding because Algebra is a subject that is difficult to teach or is Algebra difficult to teach because kids have so much trouble understanding it? In reality, there is some truth to both of these issues; and, theoretically, solving one will solve the other as well. So, exactly what is it that makes Algebra so unique?

Algebra is like a giant question mark in the brain of every freshman who walks into the classroom. These 14- and 15-year old students enter the classroom having absolutely no expectations of what they are going to be learning; and teaching Algebra successfully is one of the greatest educational challenges existing today.

Students in elementary school know just exactly what math was covered in each grade and what is coming next year. Addition, subtraction, multiplication,... They know. In high school, at the end of Geometry, Trigonometry, and Calculus, students can explain to you what the course was about. But Algebra is a different kind of animal. Too often Algebra teachers assume their students know what Algebra is, so Day One of school is Section One of Chapter One in the textbook and off they go on their unknown journey. Sadly, many students are as clueless at the end of the school year as they where at the beginning as to what they have been studying. Some students can tell you they solved(?) equations, they factored something, and they graphed things. Some students can actually be good at Algebra skills, but still have no idea why they were doing any of it. That's very sad.

The numerical skills required in Algebra (the HOW) are really pretty basic. It is the understanding of the WHY and WHEN that students don't get. But is this a student issue or a teacher issue?

Students issues to consider:

(1) knowledge of multiplication facts is the #1 indicator of success in Algebra, yet many students enter Algebra with weak multiplication skills,

(2) most students are lacking the ingrained sense of "I am smart enough" that they possessed when learning language,

(3) many students have lost the persistence they demonstrated when learning to walk, talk, and read,

(4) most students lack a pre-school math foundation similar to what parents provide for language skills,

(5) unlike all previous math courses in which only 25% of the material is new (never seen before), the amount of new material being covered in Algebra is approximately 75% of the course which seems to be too much for them to absorb,

(6) the pace required to cover so much new material seems too fast for students to absorb, and

(7) many Algebra students see no practical application to their lives, so they view it as unnecessary to learn. Have I missed any student issues? Probably, but you get the point.

Teacher issues to consider:

(1) the assumption that students already know what Algebra is is incorrect,

(2) teachers sometimes don't recognize that the problem is weak basic skills until the damage is done,

(3) the large amount of new material to be covered does not allow for proper processing but teachers do not have a choice about removing some of the subject matter,

(4) some teachers are weak at task analysis, (5) a few teachers have trouble explaining a topic several ways to deal with the different ways students learn, and

(6) No Child Left Behind has caused immeasurable harm to mathematics education and the learning environment. Again, you get my point even If I missed something.

In spite of all the issues I just listed, it should be noted that this "problem" has existed literally forever. The failure rate was 50% when I started teaching in 1972 and it still is. Many attempts have been made over the years to solve these issues. Nothing has been successful. So the answer to the initial question is: we don't know. If we knew, the issues would get solved.