You are playing a game involving three dice. You can choose to bet on any number from 1 to 6.
I'll roll the three dice. If:
- none shows your number, you lose $1
- one shows your number, you win $1
- two show your number, you win $3
- three show your number, you win $5
What is the expected value of this game?
Email your answer so as not to ruin the challenge for others.
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.
I have been working with a few students who are ready to learn math much, MUCH faster than allowed by the traditional classroom model in which math is taught over 6 to 8 years. Based on this experience I believe that many students as young as 4th grade and as old as 8th grade (when starting in the program) can master math in 2 years from simple addition through the first semester of Calculus, with Arithmetic, Algebra 1, Geometry, Algebra 2, Precalculus, Probability, Statistics, and Trigonometry in between.
This is significantly faster than the traditional approach and is enabled by a combination of one-on-one teaching and coaching and a variety of media that I assign to students to complete in between our sessions. This is a "leveraged blended learning" approach that makes use of online software, selected games, and selected videos with guided notes that I have created that ensure that students pick up the key points of the videos, and which we discuss later. The result...
What a way to start off the New Year! First I met with a student for US History and Living Environment. She is taking the Regents exams in three weeks. When I first met with her, Cee had a fear of taking exams, and was very nervous. She struggled with understanding both subjects; the Historical Events and dates, as well as the vocabulary words for Biology. Her next struggles were understanding and answering the document based questions for US History and the short responses for LE. Now she answers them much more confidently and accurately, and has even improved in writing her document based and thematic essays for US History. I am so proud of her and is certain that she will pass both Regents exams.
Then I met with my grade 4 student for Math, English Language Art and Science. He has gone from scoring 31% to 83% on his practice science exam. He is much more confident with doing Math and ELA assignments. I am so proud of him. Then it was on to my grade 6 Math student.
My recommended strategy to Students at all academic levels for learning and successfully passing the course at all modalities (on-line, on-ground) is the culmination of at least ten years of teaching and tutoring statistics at the undergraduate, graduate, and post-graduate levels in business, management, sciences, social studies, and psychology. It consists of the following:
1. The first is to learn how to overcome fear and anxiety from the unknown and look at tutoring as a prudent investment to your immediate future and success. Engage the tutor from the start of the course and don't prolong the decision because of the complexity and quantitative nature of the subject area. This component of the overall strategy is to keep the weekly normal pace and retain basic real life knowledge for ongoing participation in the political and economic process of the National affairs and State-of-the-Union.
2. Academic Reading Materials and Study Guides encompass three distinct sections without...
Visualize, verbalize, mathematize!
My wife is worried about me because I was tutoring in my dreams last night.
Summertime ... swimming, reading, barbeques, hanging with friends. Summer jobs and going out after work. Yet for some, schoolwork and studying are a big part of our summer agenda.
No matter what time of year you are studying, it is crucial to know when to stop and take a break. Forcing your attention past your limit will not be productive. If you can't summarize what you just read, you have read too long. If you are making more mistakes on your math homework, it's time to do something else.
What's your ideal study session? It might be an hour or two, or it might be only 20 minutes. Stick to the length of time that works best for you. When you come back refreshed, you will learn more easily.
Get into the slower summertime pace. When the fall comes, remember to stop studying and do something else, even if only for a few minutes. Your brain will thank you.
Flash cards -- highlighting -- writing down definitions. Do you do all that and still have low test scores? Often, straight memorization is not enough to really learn the subject well.
For example, in biology you may learn that proteins are formed from peptide chains. You may also learn that a polymer is a chemical compound that has repeated units. But if an exam question refers to a "polypeptide," you might not realize that it was talking about a protein.
The key here is to make associations. What are polymers? What type of biological compounds can be classed as polymers? "Poly" means "many." So, a polypeptide would be "many peptides." What compound is composed of many peptides? A protein, of course.
This type of reasoning is not developed by straight memorization. You need to reach for the meaning. Make lists, tables, or diagrams; look up words; make links and associations. Write definitions in your own words only. Don't guess....
It is often examples that make ideas understandable to students and current events can be a good source of examples. Case in point. Today in Wisconsin, the issue of the day is the outcome of the recall elections and problems with the exit polling. As a tutor, the outcome isn’t interesting, but exit polling like all surveys is key to the usefulness of statistics! In fact, it gives a great opportunity to illustrate some of the basic (and non-mathematical) ideas and concepts of statistics — usually the ideas presented at the beginning of most introduction-to-statistics courses.
Statistical inferences are grounded in some basic definitions and assumptions (in bold). A
population is a defined collection of individuals that we want to know some data about and a
sample is a group taken from the population that we are going to actually collect data from (Sullivan, 2010, p. 5; Triola, 2010, p. 4). If we wanted to know the actual data about a population, which is called a
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...
I invite all students who are faltering in Mathematics, from Algebra through Calculus, to get help as soon as possible.
The right kind of skilled help, which gives you INSIGHT and thus understanding, can build your confidence and raise your level of achievement. That's what you want to do--because those who do not address these issues usually experience disappointment and failure, and the effects of failure have a significant impact on your life, such as lowering self-esteem and interfering with your plans for college and career.
That's why I tutor--to help you. All of my customers experience marked improvement. I wish the same for you.
The reality is that the student may be “in over their head” and no amount of effort will get a satisfactory result. Or maybe the student does not have the time to overly focus on one course over the others even for a short time to recover from a failing grade. This is a difficult and even emotional decision but should at least be momentarily considered. Is this class a necessity? Is there the ability to drop it? If you feel recovery is possible or if there is no other open option then on to the Recovery Plan.
Though I am calling this a recovery plan – this is also a “B+ to an A+” or C to a B+" plan!
1) Understand how the final grade is arrived at in detail as this impacts strategy especially if one part is overly emphasized. Usually the “battle” is between homework and exams. Exams are usually the predominant part of the grade - so rally around the next exam, midterm or final. You need 7-14 days for this Mock Test plan below. If homework plays a predominant role,...
It's important to plan ahead - "get ahead of the game" whether planning for SAT/ACT or planning for this coming Fall, 2012.
Most parents and students wait till they get an "unexpected bad grade" - then REACT. A tutor can help things turnaround at that point - but what about your other classes - do you ignore those to catch up? This is not a good situation. Pressure packed. If this happens to be the semester they are preparing and taking the SAT or ACT, or they have to prepare to take an AP exam - even more pressure.
I am thinking primarily in terms of math/science. If your student can start a tough math or science course in the fall having already mastered several key fundamentals of that course, it will give them confidence, relieve stress, and move them to a higher level of understanding.
Also plan ahead carefully in class selection. You want a strong high school resume, but not at the expense of a significant drop in grades. My own daughter took statistics...
Test Preparation – Best Practices
Start this at least one week before the math, chemistry or physics exam.
What does the test cover? Sounds simple but it is amazing that many students are not sure the night before an exam.
Using major topic titles, your notes, instructors’ notes, pages in the book – describe fully what the upcoming test covers.
If questions come up - NOW is the time to ask the instructor exactly what is covered. I encourage you to approach the instructor – let him/her know you are actively preparing. Ask them if they have a good source of extra problems to work to prepare. They will love that you are taking their class seriously. Don’t do this to impress them – be sincere – but be aware – this could be helpful in that they might be interested in helping you. They work very hard instructing you - you probably don’t realize how much work they do when they are not in front of you in class – so you “make their day” by your behavior.
Even if a cheat...
Extra problems are the cure to your ills. Mastery...
There is a book called Mastery, by George Leonard which speaks to how those who are the very best at what they do are not naturally gifted but rather they work very diligently – repeating their craft so much that it is engrained.
It is the same for math. Don’t just do you assigned homework – do extra problems. Don’t just prepare for the test – find old tests by the same teacher or others and work them in a test-like environment.
When I was in graduate school, there was a statistics class, and for whatever reason I was able to find this professor’s old exams – several of them for every test. In addition to working homework problems etc., before every test, I worked ALL the tests for that topic. I could have gotten an A blindfolded! One time, the test WAS IDENTICAL to a test I practiced EARLIER the same day. It was all I could do to not start laughing. But I felt no guilt - I WAS P-R-E-P-A-R-E-D and worked hard preparing...
I'm new to this site and can't wait to help you. Got questions? I got answers! Whether you need some simple study skills and techniques or if you have very specific problems in a subject, I can help. Let me show you how all these subjects work together and are not isolated disciplines that you're never going to use. I'll show you the relevance of each subject and how they're all integrated. Learning is so much fun when you understand why you need to know.
"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.
Finals have started in the middle and high schools and so the break will soon be here. I'm anxious for my students and my daughter (in 9th grade) who are waiting to see what their final grade will be. While a few weeks off is treasured by teachers and students, the Christmas break is actually an excellent time for students to learn in math what they weren't able to master during the year. Neither the tutor nor the student relishes the idea of giving up vacation time but it's those students who go above and beyond who will ultimately succeed. In just a few sessions over the break, so very much can be accomplished because there isn't other work to compete with the student's time. To my students in middle school, good luck and remember to simplify those radicals and fractions. To my high school students, please practice the formulas and mnemonics I've taught you. Good luck to you as well! I have every confidence in you!
I have written about these two boys before. They are the two students who were struggling with Mathematics. They are best friends and were in grade six. Well now they are both in grade 7. They play football for the school, and they are doing so much better in Mathematics. I had written that one struggled more than the other in Mathematics. For the student who struggled more, doing Math was like doing 'rocket science'. Sometimes it was painful to watch, but at the same time admirable, because he was persistent. Sometimes, I had to be a little stern with him because I did not want him to give up. I was determined for him to understand the concepts as well as pass his NY State exam. I went through such a roller coaster of emotions while preparing him for the exam. Finally I looked at him and said, you are going to pass this exam. You know how to do these Mathematics. We practice these all the time. There is nothing new, just read the problems carefully, take your time, and do what the...