# Blogs

## Discrete Math Blogs

SUMMER OPPORTUNITIES Now that students, teachers, parents and tutors have had a chance to catch their breath from final exams, it's time to make use of the weeks we have before school starts back. Consider all that could be accomplished in the next few weeks: Areas of math that students NEVER REALLY GRASPED could be fully explained. This could be elementary skills like adding fractions, middle school topics like systems of equations, or high school areas like sequences and series. Students could have a TREMENDOUS HEAD STARTon topics that will be covered in the first few weeks of school. Imagine your son or daughter being able to raise their hand to answer a question in the first week of school because they had worked several problems just like the ones that the teacher is demonstrating. ENORMOUS PROGRESS could be made in the area of preparation for the standardized tests (PSAT, SAT, ACT and more) that are so important to getting into a great college. STUDY SKILLS... read more

Hi math students :) When preparing for a mathematics tutoring session, try to have the following things at hand... Textbook (online or e-text) Syllabus, assignment, tips/hints/suggestions, answer sheet/key Class notes Pencils, pens, erasers, paper (graph paper, ruler, protractor) All necessary formulas, laws, tables, constants, etc. Calculator that you will use on tests Do I really need my calculator? I can do most of my work in my head. Having your calculator is just as important as paper and a pencil in most cases. You'll be using it on your test and if you don't know how to input what you want, you won't do very well. Have your tutor teach you about your calculator's functions beforehand. Learn how to check your simple math and how to input exponents, logarithms, or trigonometric functions before your test. Why do I need my book, notes, or answer key? Isn't the tutor supposed to know everything? Yes :), but even the most experienced tutor... read more

It is no surprise that students lose some of their edge for education over the summer. After all the saying goes, "if you don't use it, you lose it." Summer is a great time to prepare students for the next school year. Tutoring can provide a means to not only stop the loss but also allow students to gain valuable skills for the next year. Imagine the edge your student could have in next years' math or science class if he or she had summer sessions with a certified teacher familiar with the state board curriculum and requirements? Summer is also a great time to prepare for standardized tests. SAT, PSAT, ACT or ASVAB. All of these tests provide information about a student's future potential. Students who are better prepared will score better and be given greater opportunities. That is why the test-prep industry is such a huge market. If you don't believe me, just stroll down that aisle of your local bookstore. However, as helpful as these self-help books can be, how... read more

SOH CAH TOA When working with Right Triangles in any Math and Science subject, especially Algebra, Geometry, Trigonometry, Chemistry, and Physics, many problems can be solved by remembering this Memory Jogger: Indian Chief SOH CAH TOA (sounds like soow caah towaah) Angle = A Sine A = Opposite/Hypotenuse Cosine A = Adjacent/Hypotenuse Tangent A = Opposite/Adjacent You can use these formulas to calculate and find missing angles or sides to solve various problems. Please contact me to help your student achieve the best grades possible in Math and Science. As a Chemical Engineer, I work on Math and Science problems all day, and tutor students in Math and Science in the evenings and weekends, including students from Elementary School to College Graduate School. I help students learn to see how Math and Science can be fun and useful in daily life, school, and career choices. All the best, John M.

"Education is not the filling of a pail, but the lighting of a fire." (William Butler Yeats) I am new to WyzAnt.com. I am a recent Johnson State College graduate. I majored in Elementary Education with a concentration in math. I recently completed my second practicum at Georgia Elementary School with a classroom of 20 4th grade students. Before that I completed my first practicum at Jericho Elementary School with a classroom of 13 2nd grade students. I currently substitute at the Georgia Elementary and Middle School, as well as, tutor three 4th grade students, two days per week, in math and occasionally in other subjects. I thoroughly enjoy working with k-6 students, their curiosity and enthusiasm are amazing and exhilarating. I welcome the chance to create a spark and light a fire of enjoyment and curiosity to your child's learning experience. Janice B.

“Please Excuse My Dear Aunt Sally” In Math subjects the Math Order of Operations is very important to solve the problem correctly. The phrase listed above is an easy way to remember the correct Math Order of Operations: Please = P = Parenthesis Excuse = E = Exponent My = M = Multiplication Dear = D = Division Aunt = A = Addition Sally = S = Subtraction I tutor all Math subjects. As a Chemical Engineer, I have completed college graduate level math subjects, and I was always at the top 3 in my class in Math subjects. As a tutor, the Math subjects are the most frequent subjects that I tutor. Please contact me to not only learn your Math subjects, but to relate to their practical application. Also as an added bonus, I can show you how this Math knowledge can be applied to savings and personal finance to save and make you money. I hope to hear from you soon. Best regards, John

Hello all you bloggers out there, Permit me to introduce myself. My name is Lorton and I am a graduate of Brooklyn College where I did my masters degree in math education. Prior to this I had completed my bachelors degree at the University of the West Indies in Jamaica, the island and not Jamaica Queens. "Yea man, Jamaica... no problem man." I specialize in math but if anyone of you bloggers wants to learn some Jamaican lingo, you need to talk to me, just joking. Anyway I also did a diploma in education at Mico Teacher's College (also in Jamaica) where I won the Best Math Student Award in 1991. I am currently teaching at a college in New York City.

Top Ten Test-Taking Tips for Students Here are the top ten tips to success! 1. Have a Positive Attitude Approach the big test as you'd approach a giant jigsaw puzzle. It might be tough, but you can do it! A positive attitude goes a long way toward success. 2. Make a Plan The week before the test, ask your teacher what the test is going to cover. Is it from the textbook only? Class notes? Can you use your calculator? If you've been absent, talk to friends about material you may have missed. Make a list of the most important topics to be covered and use that as a guide when you study. Circle items that you know will require extra time. Be sure to plan extra time to study the most challenging topics. 3. The Night Before Cramming doesn't work. If you've followed a study plan, the night before the test you should do a quick review and get to bed early. Remember, your brain and body need sleep to function well, so don't stay up late! 4. The Morning... read more

Does inductive reasoning lead to knowledge? In inductive reasoning, we form a claim based on a set of observations. The claim (or conclusion) derives from the idea of probability. But can probability really be calculated? Hume argues not, since claiming that a result is "more probable" implies that the past predicts the future. Let us, for example look at: Premise: All swans we have seen are white. Conclusion: All swans are white. or Premise: Every person who has touched fire has been burned Conclusion: Any person who touches fire will be burned. Sextus Empiricus described the circular logic of induction. "Those who claim for themselves to judge the truth are bound to possess a criterion of truth. This criterion, then, either is without a judge's approval or has been approved. But if it is without approval, whence comes it that it is truthworthy? For no matter of dispute is to be trusted without judging. And, if it has been approved,... read more

Ken B. in Houston, Texas - known as the "Best Little Tutor In Texas" has surpassed another WyzAnt tutoring milestone by going over the 600th tutoring hour for WyzAnt. All subjects in mathematics and science, high school or college, are done by Ken except biology and biochemistry. Ken has now worked with many many students to help them work on their own and be able to do well on homework, basic studies, tests, and special projects. So, if you are in need of someone in Houston and the surrounding areas who can do all levels of mathematics, plus chemistry, physics, computers, and computer programming, Ken is the one to contact.

Determine the truth value and state why. For all x, there exists a y: x=y² hmmm? If you have worked with me, then you know what I'm going to say. Let's rewrite this to help our visual memory. Since most of us are accustomed to seeing the "y" on the left-hand side of the equations, let's write this: from: For all x, there exists a y: x=y² to: For all x, there exists a y: y²=x Solution: y²=x sqrt(y²) = sqrt(x) y = sqrt(x). For this to be true, then x must be only non-negative integers. Therefore, our original statement is false. You can also let x=2 and clearly show that the statement is false.

For most people, solving a problem or a question is not difficult if they have a model to follow and the correct data to plug into the model. Take one of the most basic functions, paying for something at a cash register. If the cashier tells you the Happy Meal costs (with tax) \$4.23, and you hand the cashier a \$10.00 bill, I suspect that most cashiers will give and most people will expect their \$5.77 in change. Oh, you can confuse people and make the problem more difficult (7 dimes, a nickel and two pennies, rather than 3 quarters and two pennies), but these are just "tricks." This works, because for the vast majority of people, this is an "ordinary" occurrence something we've either done or witnessed hundreds of times, and we can intuitively extend our addition and subtraction rules to a new problem. Unfortunately, most classroom topics are taught like the math example above using clear, intuitive, and easily understood examples, but tested using confusing... read more

Ken B in Houston, Texas, better known as "The Best Little Tutor In Texas" has just surpassed the 500th hour of tutoring for WyzAnt. For any subject or combination of subjects dealing with mathematics, chemistry, physics, computers, and computer programming, he is the one-man-source. His diversified expertise and ability to simplify complex subject for students makes him a par-excellent source for student's studies.

The Mutilated Chessboard A chessboard has 64 squares, 8 by 8. If you have 32 dominoes, each the size of 2 side-by-side chessboard squares, you’ll be able to exactly cover the chessboard with the dominoes. (In fact, there are very many ways you could arrange the dominoes to cover the 64 squares of the board!) But suppose you cut off any two diagonally opposite corner squares of the chessboard, leaving 62 squares. What patterns of 31 dominoes will exactly cover the mutilated chessboard? This is another good exercise in creative problem-solving. Try to observe your own thought processes as you try to solve this. Are you methodical or do you make random guesses? Do you visualize solving the problem or analyze it differently? Do you attack the whole problem head-on, or try to solve a similar but smaller and simpler problem first?

I have been tutoring for, at least, ten years. I lecture as litlle as possible. Before teaching the student a way of solving a given problem, I let him try to solve it by any means they can come up with. The objective is to make them think and struggle a litlle so that once I show them an easy technique to do so, they will see how easy it makes things. Ultimately, they will be eager to learn it. For instance, suppose I have a student who does not know how to solve 2x+3=7. I will tell him: you are looking for a number, when you multiply it by 2 and add 3, you get 7. Most of the time they can guess the answer. After they do, I follow up with another one involving fractions and decimal numbers. Usually, they will struggle a litlle more. After that, I do a quick review of addition and multiplication properties and those of their inverse operations. They might know them, but they used them in a different context. This will create a bridge between what they already know and are about... read more

The Four Ones Problem Use the digit "1" exactly 4 times, no other numbers, and any number of standard symbols from arithmetic or algebra to make a formula that equals 5. (There may be more than one formula that works.) For example: 0 = 1 – 1 + 1 - 1 1 = 1 * 1 * 1 * 1 2 = (1 + 1) / 1 / 1 Extra Credit: What is the SMALLEST whole number that CANNOT be calculated this way?

By now you should know that I like to get right to the point of each blog. Yes, I love to socialize, but hey, I know that we parents want it quick, correct and easy! Right? Ok, here ya go. BTW, this will be my LAST blog before my newest son comes any day now! Should you need to block tutoring time, e-message me please! Teaching money is the perfect candidate for hands-on learning. Kids love to spend money. Teaching them to count it, save it, and give it is good training. Each time they have an opportunity to handle money they will become better and better with money and how to handle it! My 10 year old daughter ROCKS! Today, we went to Ikea. They are offering free lunch till the 5th of this month for kids up to 12 yrs old. My yummy food came to \$5.99. Although I had my 4 kids with me I only paid for my food- awesome right? So, I gave the cashier a \$10.00. Before she could give me my change, my daughter had already chimed in my change. And she was correct! She usually is though... read more

Providing support to students for all the following: MAT0012 - Arithmetric w/ Pre-Algebra MAT0024 - Basic Algebra MAT1033 - Intermediate Algebra MTB 1103 - Business Mathematics MAC 1105 - College Algebra MGF 1106 - Mathematics for Liberal Arts I MGF 1107 - Mathematics for Liberal Arts II MAC 1114 - Trigonometry MGF 1117 - Math for Early Childhood Educators MAC 1140 - Pre-Calculus Algebra STA 2023 - Introduction to Probability and Statistics MAD 2104 - Discrete Mathematics STA 2122 - Statistics for the Behavioral and Social Sciences MAC 2233 - Applied Calculus I MAP 2302 - Differential Equations MAC 2311 - Calculus I MAC 2312 - Calculus II MAC 2313 - Calculus III

Hi, I am Preeti. I'll be more then happy to help students with math. Teaching I have done as hobby in college days. I love math and very good at it, and it will be my pleasure to share knowledge with students. All students are welcome who needs a math tutor and I'll be comfortable teaching at my place at your place or any common place.

Economics is a fragile and often overlooked subject matter. It effects every one of our lives, whether we want it to or not. Will we have a house to sleep in, can we afford college, what are we going to eat tonight, do I get that 42 or that 56 inch TV? Sadly, even though every person's life is influenced by our economic state, a surprisingly small amount of people understand it or even care about it. I feel obliged to enlighten those who want to understand and compelled to spark an interest for those who have no care. I like to explain economic theory by utilizing an analogy. Economic laws follow the same principles as a poker match. If everyone joins into a poker game with a certain amount of money (chips), each person is motivated to play with hopes of achieving a large stack. Of course for some to be high stacked, the chips had to come from someone's wallet other than their own. It is interesting to study how the amount of chips influences a person's decisions in what... read more