We're going back to basics today with a Math Journey covering the three broad categories of symbols. I've found this concept very handy when introducing Algebra to middle school students. So let's go!
Math is a language, and I find it often helps to think of it as such right from the beginning. Just as there are different parts of speech in a language, so there are different 'parts of speech' in math. Where a spoken language includes parts of speech such as nouns, verbs, and adjectives, math has three major types of symbols: constants, operators, and variables. Let's go over each one in detail.
These would be the equivalent of your nouns. A Constant is a number – it has a single, discrete place on the number line. Even if the number itself is ugly – a non-terminating decimal, for example – it still does exist in a specific spot somewhere on the number line. In addition to the obvious constants, math frequently uses what I refer to as 'special constants'...
In the calculation below the mathematical symbols have been removed.
Using only +, -, x and / can you make it correct?
7 32 6 14 9 12 = 112
In mathematics, different functions has different rules and I can see a lot of students are struggling with the rules for integers. So I'll kindly discuss the rules for each operation: + - * /
(-) + (-) = (-)
(+) + (+) = (+)
(+) + (-) [Remember to always take the bigger number sign and use the opposing operation, which is subtraction to solve the equation.]
(-) + (+)
Ex: -9+8=-1 [Same rule follow as above]
(-) - (-)
Ex: -9-(-8) = -9+8
[When two negatives are next to each other you change to its opposing operation: addition and change the 8 into a positive integer.]
(+) - (+) = (+) [Unless the first integer is smaller than the second.
Ex: 5-8= 5+-8 [Then you follow the rule...
Purpose: This series shares tips on how to identify, manage, and overcome Mathematics Negative Self Talk (NST). We cannot avoid NST totally because the NST about Math skills in general is a widely accepted habit.
So what is Mathematics NST anyway? Mathematics NST is when we speak in our minds or to others about an inability to learn, do, and/or understand Mathematics in general. Focus here is what we cannot do or have never done in Mathematics. For example, "I hate Math." "I can't do Math!" "This is too complicated!" " I could never do Math!" "My parents aren't good at Math either." "What can we use Algebra for anyway?" "The teacher is confusing me." The NST phrases list is endless, but also popular in today’s culture.
Downside of NST: NST in Math is simply a bad habit of thinking and attitude. This habit limits learning Math...
I would be honored in having the opportunity of working with students and parents. The education and success of students are very important to me and I would love to do what I can to help. I am a math and education major with an Associate's of Arts and Teaching Degree from Lee College and I am seeking a teaching career. I live in the Baytown area and I am not able to provide my own transportation due to the fact that I have a disability which prevents me from driving, so I can only rely on public transportation and I am limited to how far I can travel. Therefor, communication is much needed. I am available until 4:30 p.m. Monday through Friday. Anyone needing a private tutor, please contact me. I would be happy to help you at any time.
When working with fractions, I find it effective to require students to convert each fraction that we work with to its decimal equivalent, to convert that decimal equivalent back into the original fraction, to convert that decimal into its percentage equivalent, to work a simple percentage problem using that percentage and finally to work the same problem using the initial fraction.
This comprehensive method helps students to see the relationships between fractions, decimals and percentages in a holistic way and to promote the necessary skills in each element.
I am a very enthusiastic individual when it comes to math! Within my 10+ years of teaching math, I have experienced much success with students. I've been rated a highly effective teacher due to most students showing growth on FCAT. A very high percentage moved up 1 or 2 levels on this high stakes test. The small percentage of students that didn't move up a level still showed a considerable amount of growth within the same level. I credit this to my high level of expertise in the field along with the interpersonal relationships that I have with students. I look forward to working with you and helping you develop a love for math!
When given two ratios (in the form x:y) or two relations (in the form of fractions), if the ratios of each element are the same they're said to be proportionate.
Example: 3/6 and 1/2 are proportionate because 3 out 6 is the same as 1 out of two (half).
When given two fractions to prove as proportionate, such as
you solve through cross-multiplication.
Cross multiplication involves multiplying the numerator (number on top) by the denominator (number on bottom) of the other fraction, and then comparing the results. If the values are the same, the fractions are proportionate.
The set-up above will be set-up as such:
1 * 6
2 * 3
Because both values are the same, these fractions are proportionate.
When I was studying to be a teacher, one of the classes I had to take was Literacy in Secondary Education. Since the word
literacy is associated to reading and writing by most, it would strike many as a surprise that Math teachers have to take courses on literacy. However, literacy is the most practical and crucial aspect of ANY academic discipline, simply because it involves the ability to read and write in said subject. For mathematics, it could not be anymore important. If you cannot understand the words that I am using, then it is almost as if we were communicating to each other in different languages.
So whatever subject you are studying, I suggest you learn its vocabulary.
As the helpful tutor that I am, I will share a list of vocabulary terms that was distributed in my literacy class to all of you so that you can check your own vocabulary. Keep in mind that this is considered to be the Mathematics vocab that one should know by the time they finish high school...
Although learning is awesome, it can be a difficult and frustrating journey for many students. This difficulty, however, is often times quite normal although most feel it means that a child may not be able to learn or that he/she is so frustrated that learning is no longer taking place. This is where the experienced tutor steps in; for frustration in learning is a part of the learning itself.
I have taught and tutored many students and have seen first hand how this frustration can leave some students, and their parents, feeling helpless and hopeless. But there is ALWAYS Hope!!! What they have failed to realize is that as the brain learns difficult concepts, it can only take in parts at a time, little parts at a time. So although it may seem no learning is taking place, it actually is, just in smaller segments. In fact, the most frustration comes right before a new concept is achieved. This is when most children become the 'most' frustrated. The may not want to go to school, complain...
Humans have a tremendous capacity to learn and adapt. However, we consistently build barriers that hinder our natural ability to change and grow. Many people, regardless of age, perceive themselves as not being talented enough to excel at math and science. They view math and science as the realms in which only scientists, engineers, mathematicians, and geniuses truly soar.
Nothing could be further than the truth. Sure, possessing a natural affinity towards these subjects helps. Yet, a supposed lack of talent does not prevent you from learning. The path may be more arduous. The journey may be longer. Nevertheless, you possess within you the fire to endure. Willpower, dedication, self belief, and an open mind can compensate for any lack of ability.
Bruce Lee was a legendary martial artist, actor, and philosopher who continues to inspire millions with the sheer intensity which he pursued his endeavors. Frail, sickly, and small as a child, Bruce Lee overcame many physical limitations...
Each summer I have a few students who work on both math and reading to keep the 'flow' and/or prep for the upcoming year. These students and their parents are completely committed to the idea of
always learning as opposed to the idea of only learning in the classroom or merely learning during the school year... in essence, the parents are setting the foundation for lifelong learning.
I would never ask a student to do work which I would not be willing to do myself or work through with them in tutoring. To this end, I have the opportunity to do reading AND catch up on my practice. This summer I am reading 'The Joy of X-A Guided Tour of Math, from One to Infinity' by Steven Strogatz at Cornell University. I LOVE this book! It is almost as good as being in a lecture or small gathering and has helped me explore how I think about math and how to share these ideas with my students.
One of my students recommended 'Hoot' by Carl Hiassen and it is on my list for the library....
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.
Greetings Wyzant community, prospective students, fellow tutors:
I have just returned from my studies abroad and am ready to begin teaching again. Please take a look at my profile. My education ranges from my Masters in Physics, to my undergrad degrees in physics, biology and music. I just completed the coursework for a masters program in peace and conflict resolution as well.
Aside from know knowledge and experience teaching, I think I possess a very good ability to understand the different ways students learn. This helps me to engage with them in a way that is most effective for them. Not only does it help to comprehend the material for the subjects they are learning but it also helps them to develop a wisdom and intuition for further (creative) learning and a strategic approach towards test taking.
I'm looking forward to working with all of you. Don't hesitate to contact me for any reason...
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
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...
5 characteristic of online software for math
When I first look at a computer screen or a new web design, I first look at the ease of reading the text. The best is a light grey or white cream color with a dark grey or black as the background. I have come across sites that will have a dark color with dark text. If you have ever seen an image with dark colors in it and the image had dark imposed lettering you know what I mean. The dark lettering disappears against the dark backdrop of the image. You almost have to guess what the hidden text is saying. It is far too much work.
Another factor in color is too much. Clown colors are out unless you are dealing with children. Sound should also be limited. I do not like circus music unless you are dealing with smaller students.
Thus, interest and appearance should be age appropriate. All you have to do is look at a kid site and you will know what I mean. Fat letters, bright colors, circus music in the background although...
To My Future and Current Students,
I can't stress enough the IMPORTANCE of ALGEBRA! Of all the mathematics I have taken in my lifetime...BELIEVE ME IT'S BEEN A LOT, ALGEBRA is the only course that is WOVEN into every single course. I was lucky enough that my first mathematics teacher in High School (Mr. Large), turned me from a B student into an A student such that I graduated High School with a 4.0 in mathematics. The one piece of advice he gave me that I will share with you is that...I NEED TO CHECK, DOUBLE CHECK AND TRIPLE CHECK ALL OF MY ANSWERS!
Algebra is a required course (prerequisite) for many of your other math courses, but most importantly in your High School career it is MANDATORY in order to be successful in Algebra 2. It may seem silly to learn and master Algebra, however, it is an integral part of every math course you will take after that except some geometry courses. Algebra teaches you how to think, be organized and how to prove your answers by checking them...
IF I could go back in time and give my younger self some advice on how to be a better student, be more successful in school, life, etc, I would definitely tell myself that being involved in everything comes at a cost. It is better to find a few things that you like to do, do them well and often, than feeling stressed because there is so much on your plate at one time. Being a 'Jack of all Trades' it is natural for me to dip my toes in different waters- all at the same time, but that does not mean that I can give 100% to any of them at that time.
While I was able to get good grades (A- average) while in school, I was impressed by how much better I did- and felt about my work- the few times that I scaled back on my activities.
Another piece of advice that I wish that I could bestow upon my younger self would be to learn how to speak up in a group setting when someone is not fulfilling their part of an agreement. Now, this said, the best way to do this would be in a tactful manner-...
A parent told me recently that her son scored a near 100% on his last test. I was so proud. I feel proud when all my students succeed. The question is what does it mean for a student to be successful. I think it's a mix between the student having more confidence than when I begin working with the student, as well as an increase in the student's grades.
Depending on the student and his or her own situation grades may increase immediately and with others it may take a bit of time. I want my students to feel confident about their abilities and also be able to show the world and themselves that they understand what's going on in class. I make a commitment when I take on a student, which is, I will work my hardest to be available and flexible. Your child's success is my success.
The key to enjoying any subject you take in School or College is simply to know how the subject is or will be applicable in your daily life and possible future career!
If you can challenge yourself, your teacher/professor and family/friends to show you the meaning of learning a subject, by actually showing why and how it is important as part of your daily life or career in the future profession that you are either preparing for or are currently aspiring to be (e.g., Doctor, Engineer, Scientist, Business person,etc), then you can give "meaning to your studies by showing the difference that subject will make in your life." I welcome everyone to try this with every subject you are taking or have taken or plan to take. If you cannot find meaning in Geometry, Pre-Algebra, Calculus, Botany, Biology, Physics, Chemistry or any subject, write to me and I will show how it can be applied in day-to-day life and also in your future career to be a successful professional in that field...