Search 73,225 tutors

# Blogs

## Probability question (5000 tires, 200 defective, 4800 good)

Today Nicole from Lenmore, CA, asked this question:   There are 5000 tires made including 200 that are defective if 4 tires are randomly selected, what is the probability that they are good?   Asked to use the method of redundancy but I'm having a hard time understanding how to write the equation and solve the problem.   The Wheeling Tire Company produced a batch of 5000 tires that includes exactly 200 that are defective.   a) If 4 tires are randomly selected for installation on a car, what is the probability that they are all good?   b) If 100 tires are randomly selected for shipment to an outlet, what is the probability that they are all good? Should the outlet plan to deal with defective tires returned by their customers?   And here's how I answered:   Hi Nicole, thanks for asking. Here's how I would do this problem. 1. Define your variables T= total number of tires D = total number of defective tires G... read more

## PORTUGUESE: why do more and more people want to learn it!

PORTUGUESE: the language of BIG BRAZIL!   BRAZIL: the land of SOCCER!   SOCCER: love it or hate it, it is a worldwide passion!   Brazilian Portuguese is FUN: and Brazilians are all about fun, soccer, beautiful places to visit, friends to make!   Even if you are all about business, BRAZIL is the land of opportunity! (Check it out, Google it!)   Whatever your purpose or ambition, Brazilian PORTUGUESE is going to take you on a journey of success, new projects, travels, dreams...   Vamos aprender juntos! Let's learn together!   Leticia S.     :)

## King Arthur's Circles: Thoughts on Time Management

I talk to a lot of people who struggle to bring sanity to their schedules. Time management is one of those areas in life where we can become very ingrained in our patterns of thought and behavior, like King Arthur's thoughts at the very end of The Once and Future King. He sits in his war pavilion, having lost two battles, his round table, and the people closest to him. Struggling to make sense of his life and the ways that he has failed to create a just kingdom, Arthur's "exhausted brain slipped into its accustomed circles: the withered paths, like those of the donkey in the treadmill, round which he had plodded many thousand times in vain." Figuring out how to be productive in your work, while also managing to grab breakfast, read the news, do your yoga, and spend time with your friends may not be as earth-shattering as the old king's noble ambitions--but persistently feeling behind, haunted by the idea that you "should" be able to do more, or paralyzed by stress... read more

## Favorite Online Resources

Hi All:)   My favorite resources found online vary greatly, in regards to which subject help is needed in. For math intermediate level and down, math-drills.com and mathfactcafe.com can be very useful. Although I don't tutor in Physics currently, physicsclassroom.com is a good online resource to help a student get kind of warmed up before learning a new lesson. For any elementary topics, greatschools.org/worksheets/elementary-school/ is a good resource. All of these are free and easily found. Also, simply typing in your subject of interest followed by practice problems, can guide to a large exploration of online help 24/7.

## Great Things Happening

With end of the year testing coming up, I would love to help your student improve in math and other core subject areas (Grade 3 - 8).

## Mathy Websites

For quick definitions or to check your work:   http://www.wikipedia.org  http://www.wolframalpha.com   A neat math writing program:   http://en.wikibooks.org/wiki/LaTeX/Mathematics   Interesting math websites I look at:   http://www.langorigami.com/   http://thecarpentryway.blogspot.com/‎

## Factoring without the "Guess and Check" method

Factoring can be quite difficult for those who are new to the concept. There are many ways to go about it. The guess and check way seems to be the most common, and in my mind, it is the best, especially if one wants to go further into mathematics, than Calculus 1. But for those just getting through a required algebra course, here is another way to consider, that I picked up while tutoring some time ago:   If you have heard of factor by grouping, then this concept will make some sense to you. Let's use an example to demenstrate how to do this operation:   Ex|   x2 + x - 2   With this guess and check method, we would use (x + 1)(x - 2) or (x + 2)(x - 1). When we "foil" this out, we see that the second choice is the correct factorization. But, instead of just using these guesses, why not have a concrete way to do this.   Let's redo the example, with another method.   Ex| x2 + x - 2   First notice the -2, the negative shows us that the... read more

## Tutoring versus Teaching

Some people may think that tutoring and teaching are more or less the same, but the truth is that there are several key differences between the two.    Teachers develop lesson plans that they must teach at a certain pace while accommodating various learning styles. Many times I've heard students say, “my teacher goes too fast” or “I don’t understand the way my teacher explains it”. The truth is, unless the entire class is very confused, there is probably nothing wrong with what the teacher is doing.    The teacher attempts to get the majority of students to understand, but sometimes there are a few that don't. And that’s where tutors come in. Tutors can adjust their style and methods to fit the learning style and pace of a particular student. It is not the tutor's job to teach a student new material, but rather to explain those concepts a student might not have understood when it was thought to them.    Overall, I think teaching and tutoring complement... read more

## Modal Verbs and Other Such Grammatical Queries

Do the terms "preposition," "verb," "article," and "modal verb" sometimes stump you? Typically, students are taught the word "preposition" in 1st grade. I don't know about you, but I'm pretty sure that if I had seen that long word at the top of a worksheet in 1st grade, I would have skipped right over it, coding "preposition" as a long word that simply did not fit in my schema of the world. Fast forward to middle, high school, and college, and I see that many native speakers often find one or more grammatical device or structure challenging. Grammar lessons learned in elementary school can easily slip from one's mind, leaving students to struggle when applying their skills to essay writing, earning them phrases such as "wrong modifier!" "run-on!" and "awkward!" splattered in red ink all over their graded assignments.   It is one thing to not remember rules of grammar correctly, but when compounded with grammatically incorrect syntax from colloquial phrases or other... read more

## Exciting New Grammar Book

A great new grammar book, "The Essentials of English Grammar in 90 Minutes" by Prof. Robert Hollander [Dover, \$4.95] bridges the gap between basic grammar books (for both children and adults) and higher-level books such as the recommended "Essential English Grammar" by Philip Gucker, also from Dover Publications. This grammar book has almost no quizzes or charts, etc. but will give you an over-all picture of not only basic, but higher level grammar. Please see my Amazon Review of this nice little addition to the grammar teacher's and learner's bookshelf.

## Light Switch Logic

When a young person takes their first higher math course, Algebra I, their brains are developing a different set of skills than arithmetic, and they are faced with abstract concepts. Most students are intellectually ready for this transition in the 8th or 9th grade. Many students have to be patient, I as it sometimes takes a few months for the "aha" moment when it all clicks. I find that their are many ways to teach algebraic concepts that allow students to grasp the particular skill they are working on. I use methods such as real-world examples, I foldable study guides, reviewing or introducing basic concepts such as inverses and identities, using colors, using hands-on materials like algebra tiles, and more. I often have students use highlighters or make their own problems. After 28 years of teaching, I know which misconceptions are made most often, so I also what NOT to do and why.  Research has repeatedly shown that success in Algebra II is the best predictor of success... read more

## Computer Programming: The need for Design training

I have an MS in Computer Science and over 40 years of experience.  I now tutor students in this area. I think that it is critical to be sure students are imbued with the importance of Design in doing Computer Programming. Who builds a skyscraper without blueprints?   Indeed, the importance extends to the entire development methodology: Requirements, Design, Build, Testing, and Deployment. Each area requires training to be a truly proficient Computer Scientist and Programmer.  I think we as tutors need to be sure students understand this. Programming is only a small part of the actual work.

## A Compelling Experience

A Compelling Experience Individual skills development is essential to socio-economic transformation, and a key driver in international competitiveness. My training courses can help you compete in the global economy. The world has gotten smaller... Think Bigger! THE PROGRAM Introduction to specific modules of communication strategies through tasks and activities that support immediate application of each concept. THE OUTCOME Change in communication style that results in increased language fluidity, more professional correspondence, and higher test scores. THE INVESTMENT SERENITY SERIES: Examine your needs ... Exercise your dormant talents ... Dream your dreams! Flawless Workshop- \$150 (2-days) Motherhood Seminar -\$60 Financial Freedom workshop - \$60 BUSINESS COMMUNICATION: \$400 per 16-hour course ~ Private Instruction ~ Industry-specific vocabulary ~ Certificate of Completion ACADEMIC TEST PREPARATION: Each session includes... read more

## Introduction to Complex Numbers

Hint 1; Complex numbers are not more complicated than any other numbers, just different. Complex number = real number + imaginary number Hint 2; imaginary numbers are not more ethereal than real numbers, just different. Imaginary numbers were invented to solve problems involving square roots of negative numbers. Hint 3; we lied to you when we told you that you cannot take the square root of a negative number. We just waited until now to tell you how to do it. i = √(-1) The letter i is used to signify the square root of -1. Any number multiplied by i is an imaginary number. Thus the square root of any negative number equals the square root of its positive value multiplied by i. Yes, it really is that easy. Examples √(-25) = 5i √(-7) =  i√(7) √(-12) = i√(12) = 2i√(3) The powers of i follow a repeating pattern that is illustrated below. i0 = 1 because any number (even imaginary ones) raised to the power of zero equals 1 i1... read more

In addition to teaching full-time, I tutor students from ages 8-adults in French and Spanish. It is always exciting to watch my students in school grow and use their language outside of the classroom, but I was THRILLED to watch and hear my private students excel their levels too! I use the Ipad with my youngest student to privately tutor him and after a few sessions of not seeing him we reunited this past week. A game that was originally a challenge for him in French is no longer a challenge, he aced his 33 point test! It was even more exciting to hear him use the French language as second nature rather than reverting to English (using the language you want them to use at all is a huge accomplishment)! It is equally exciting when a student can identify what they like to use to learn and build their confidence because activities are familiar, which increases their acquisition since they aren't afraid. Student motivation is vital and seems easier with the adults. It is very... read more

## Sloppy Math on Facebook, or "Who The Heck Would Write A Function Like That Anyway?!"

Does this look familiar? SOLVE IF YOU ARE A GENIUS! 99% OF PEOPLE WILL GET IT WRONG! 8 = 56 7 = 42 6 = 30 5 = 20 3 = ? No doubt every time you've seen this on Facebook, it's followed by thousands upon thousands of responses, each indignant that other people are getting the wrong answer. Generally there are two or three different numbers that keep coming up, with nobody able to see how anyone else could have gotten a different answer from their own. I hate these things. These things are designed to be vague. There is no answer, or rather, there are an infinite number of answers. The crux of the issue here is that they don't define the rule. So these things are basically a weird way of presenting a function. You remember functions from my previous blog post, right? Well, essentially what this thing is saying is “you take 8, do some mystery function to it, and you get 56... read more

## French Pronunciation

Have you studied French for what seems like forever, and still have difficulty being understood by French speakers when you travel to France? Do the particulars of French pronunciation and intonation escape you?   French vowels are quite tense and register a higher pitch than English vowels when pronounced correctly. Also, the French intonation pattern is syllable-timed, while English is stressed-timed. Then, there is that guttural “r” that makes you sound so French.   Acquiring correct pronunciation takes awareness and a bit of practice. However, correct accent and intonation are important if you wish to be understood when using the language. If you have a good handle on grammar and vocabulary, consider working on your pronunciation as your next step in the journey of speaking French well.

## Great Resources I Use All the Time

1. Hyperphysics This website is basically a concept map of every physics topic, and I mean every. It's not a comprehensive guide to all of them, but it provides a basic overview of pretty much everything you could ever want to know about physics. It's not a "Physics for Dummies" site, so if you're struggling, you'll still need a competent tutor. That being said, if you want to look up and equation or definition, or just learn a little more about something your teacher only mentioned, it is the best resource I know.   2. Paul's Online Math Notes This website offers extremely detailed lessons on Algebra, Calculus I, II, and III, and Differential Equations. To be honest, I learned most of what I know about Calculus through Paul, not my professors. I'll even admit that many students can use this in place of a tutor. Paul's teaching style isn't for everyone, though, so many people will still need some extra help.   3. SparkNotes Test Prep Don't be turned... read more