With the increasing amount of accessible technology and decreasing amount of human attention spans, people get bored easily. Nintendo DS’s, Kindles, and iPads are meant to serve people with an immediate means of pocket-size entertainment. But what some people forget is the simplicity of those things we use every day: our words. The challenge of a cross word puzzle is usually more intriguing than mindlessly staring at a solitaire screen and the reward of a completed puzzle is oh so blissful. This particular brand of brain teaser is not only great for killing time while waiting for your parents to pick you up from practice, but also conducive to a learning environment, such as the Study Hut. You see, crossword puzzles require a certain out-of-the-box mindset to be solved. This is helpful to students who are preparing to take standardized tests, such as the SAT or ACT. These standardized tests, at their core, are not about testing intelligence. Rather, they test students on whether they can adapt to a certain style of thinking and deductive reasoning in order to answer their specific questions.

For the crossword novice, the Los Angeles Times or USA Today crosswords are the best because they allow the user to see when they are correct or incorrect. Also, the Los Angles Times crossword puzzles start with their easiest puzzles on Monday and get progressively more difficult through Sunday. This is a great way to spend down time because it increases mental acuity and also builds a stronger vocabulary, another reason why it would improve standardized testing scores.

Here is an example from a Monday clue in the LA Times: “One quarter of M” (3 letters.)

For this clue, the puzzle draws upon your knowledge to recognize this as a math problem and to solve using Roman numerals. Since “M” is 1,000. One quarter of that is 250. C = 100 and L = 50. The correct answer is: CCL.

Here is an example from a Sunday clue in the LA Times: “It might have a nut at each end.” (5 letters.)

If you’ve done enough crosswords, you can figure out that they don’t mean the kind of nuts that you eat. Drawing on homonyms for nut, another type of nut might be the tool used with bolts. Since it is 1 more letter than bolt, the answer is “Ubolt.”

The mentality employed by crossword puzzles makes one think outside of the box, using verbal puns, pop culture knowledge, mathematics, history, and anything else we use our brains for. Being able to adapt to this thinking style is a sure way to keep your brain sharp, acute, and ever ready for the perfect riddle!

Luv,
Whitney

Many people think math is really boring. This is because, for the most part, teachers are lame and don’t make the material interesting. There is a lot of cool and weird mathematics out there that kids unfortunately are not exposed to. Here are a couple of interesting mathematical oddities that will hopefully spark some interest in math:

You want to find the sum of the infinite series 1-1+1-1+1-1+1-… This pattern repeats forever. At first glance, you would likely say (1-1)+(1-1)+(1-1)+… = 0+0+0+0+… and conclude the sum is 0. At second glance you may say the 1+(-1+1) +(-1+1) +(-1+1) +(-1+1) = 1+0+0+0+0+… = 1. Turns out both of these are wrong and the sum turns out to be ½. Here is why:

Let’s call the sum of the series S, whatever it may be. So, S = 1-1+1-1+1-1+1-…

Now, look at 1-S. We get 1-S = 1- [1-1+1-1+1-1+1-…] = 1-1+1-1+1-1+1-… = S. This is the same as our original series. We just showed that 1-S = S which means that 1=2S or that S=1/2. Pretty crazy that you can add 1 and -1 infinitely many times to get ½.

Here is another cool little proof why 1=2:

Let a =b. Then a2 = ab.

So, a2+ a2 = a2+ab or 2a2 = a2+ab.

Now, Subtract 2ab from both sides of the equation. Doing so, we get:

2a2 -2ab= a2+ab-2ab

So, 2a2 -2ab= a2-ab

Now, we factor out a 2 from the left side of the equation which leave us with:

2(a2+ab) = a2+ab

Divide both sides by a2+ab leaves us with:

2=1.

Take a close look though. While everything seems to be right, we all know 2 does not equal 1. Can you find the erroneous step? If not, come to the Study Hut and we can show you what’s up.

At The Hut, we know that all students learn differently and come to tutoring with unique expectations. For those high achieving high school students who are immersed in Advanced Placement courses, SAT practice, and extracurricular activities, time management is key.

Junior and senior year of high school are the most academically demanding years of the four. This is the time when students are mastering those tough classes (AP Euro, Bio, US, Chem, Spanish…) and special skills (soccer, music, community service…) that will make them competitive at the university of their choice. With little sleep and less free time during the day, what these teens need is a schedule.

Mira Costa junior Danny came to The Study Hut in need of a little planning. With a full schedule of electives and extracurriculars, Danny had no trouble learning the material; he just needed to find the time to do it. During tutoring sessions, Danny and I spent time organizing his schedule for the week – ensuring that he would have time to do the activities he loves as well as the focused studying that he needs to ace information-dense AP Biology. With a realistic amount of time blocked out every day for biology review, and the creation of specific goals for the completion of assignments, Danny’s test scores immediately improved. With the continued use of these organization techniques, as well as weekly concept review at The Study Hut, Danny’s grades are steadily improving. By the time of the AP Biology exam, he had drastically improved his grade in the class and his ability to retain large amounts of information.

One hour of one-on-one tutoring for high school students is not only an excellent way to clarify difficult concepts, it is also a way to keep busy students on track all week long. Short-term study techniques will prepare a student for an upcoming test, but organization and planning skills with a long-term focus are the key to improving a student’s ability to learn information, retain information, and succeed in the analytic-based learning that is in their future. The commitment to a regular schedule allows students to anticipate assignments and plan their schedules accordingly. This reduces stress, which in turn makes test-taking less of an ordeal. Less panic means better decisions and higher scores. Period.

If a student can stick to a study plan and stop relying on last-minute cramming, they are guaranteed to see positive results. And a little more sleep never hurts either…