Monday 20 July 2015

THE WATER CYCLE AND OXYGEN CYCLE


THE WATER CYCLE AND OXYGEN CYCLE


The Water Cycle

As the sun shines on both the land and the seas, the land is heated up faster than the seas. Hot air rises over the land. This creates difference in air pressure between the land and the seas. A sea breeze results, blowing from the sea to the land, and carries a lot of water vapour with it.

As moisture containing air rises on land it cools, clouds form and condensation into water drops occurs. Other sources of water vapour which enter the clouds include:

1.  Water loss from the land by evaporation.

2.  Water loss by plants through transpiration and excretion.

The water drops formed by condensation of water vapour in the upper part of the atmosphere fall as rain. As rain falls, a part of it soaks into the ground and infiltrates downwards to the water table. Some of it is called runoff water, flows along the surface of the ground into streams, rivers and lakes. The water in the streams, rivers and soil eventually flows into the sea (ocean). The event described above takes place all the time and constitutes the water cycle.

Water Cycle Diagram

 


The Oxygen Cycle

All living things need oxygen for respiration. Oxygen and food are converted into energy and carbon (iv) oxide. Green plants change the carbon (iv) oxide back into oxygen. Respiration and combustion use up oxygen and make carbon dioxide, photosynthesis uses up the carbon dioxide and makes oxygen again.

Oxygen Cycle Diagram
 

 
 

Thursday 16 July 2015

VEDIC MATHEMATICS

VEDIC MATHEMATICS
 
Vedic Mathematics is so to say a branch of mathematics that is named to a system or problem, such that that system is an  ancient system of Indian Mathematics which was rediscovered from the Vedas between 1911 and 1918 by a man they call Sri Bharati Krsna Tirthaji although late. If am not mistaken, his life was 1884-1960 even before Nigeria gain independence.
According to his research, he said mathematics is based on sixteen Sutras, or word-formulae. For example, 'Vertically and Crosswise` is one of these Sutras. These formulae describe the way the mind naturally works and are therefore a great help in directing the student to the appropriate method of solution.
Perhaps the most striking feature of the Vedic system is its coherence. Instead of a hotch-potch of unrelated techniques the whole system is beautifully interrelated and unified: the general multiplication method, for example, is easily reversed to allow one-line divisions and the simple squaring method can be reversed to give one-line square roots. And these are all easily understood. This unifying quality is very satisfying, it makes mathematics easy and enjoyable and encourages innovation.
In the Vedic system 'difficult' problems or huge sums can often be solved immediately by the Vedic method. These striking and beautiful methods are just a part of a complete system of mathematics which is far more systematic than the modern 'system'. Vedic Mathematics manifests the coherent and unified structure of mathematics and the methods are complementary, direct and easy.
The simplicity of Vedic Mathematics means that calculations can be carried out mentally (though the methods can also be written down). There are many advantages in using a flexible, mental system. Pupils can invent their own methods, they are not limited to the one 'correct' method. This leads to more creative, interested and intelligent pupils.
Interest in the Vedic system is growing INDIRECTLY in education, I said indirectly because mathematics teachers are looking for something better and some find the Vedic system to be the answer ignorantly. Research is being carried out in many areas including the effects of learning Vedic Maths on children; developing new, powerful but easy applications of the Vedic Sutras in geometry, calculus, computing etc.
But the real beauty and effectiveness of Vedic Mathematics cannot be fully appreciated without actually practising the system. One can then see that it is perhaps the most refined and efficient mathematical system possible
 

Wednesday 15 July 2015

CAREERS IN MATHEMATICS

CAREERS IN MATHEMATICS
Many people begin to ask me on daily basis, saying Isaac, "weytin you won use your BSc. (Ed.) mathematics do" I say, many things.....Okay. So what can you think I can do with a degree in mathematics? Actually, just about anything. No really, we mean it.
 
Studying mathematics seriously prepares you for almost any career (not just high-school or college teaching or pure mathematics research). Here are some links to check out which support this theme with actual data and reasoning:
For pretty much any list you can make of aspects you'd like in a job (dress up? just jeans? work with people? work on your own? etc.), there's some mathematical career that's right for you. One of the reasons that mathematically-trained people are needed in almost every field is that we are known for our excellent problem-solving and critical thinking skills.
Furthermore, according to the Jobs Rated Almanac by Les Krantz, many of the most desirable careers (see a long list here and the 2002 top list) are technical in nature and require some expertise in the mathematical sciences. In fact, the three top jobs on the 2009 list were mathematician, actuary, and statistician---the study of mathematics achieved a trifecta!
 
Some of the career opportunities available to a major in the mathematics include:
 
  1. Actuarial Mathematics -- The application of mathematics, particularly probability and statistics, to the insurance industry. For more info, check out Be An Actuary, which is supported and maintained by the actuarial professional societies and some major employers. The Princeton Review has an Actuarial Career Profile. Here is also an actuarial job search site and a European actuarial job search site and an actuarial info and jobs site.
    A related career to that of an actuary is that of a Research Analyst. They research compensation trends and problems internally and externally; perform statistical analyses and predictive modeling on current and proposed compensation scenarios; measure performace of field sales (insurance reps) against established goals; model and track incentive and bonus programs; determine economic impact of various scenarios on the company and the individual. This job specifically requires a mathematics degree.
 
  1. Applied Mathematics -- Often this means working on problems in physics, chemistry, geology, and engineering from a mathematical perspective. There are seemingly endless possibilities, ranging from being a climate analyst who models long-term changes in global weather to working as a forensic analyst who investigates data collected at crime scenes to being a population ecologist who works to prevent species from becoming endangered. For more info, check the Society for Industrial and Applied Mathematics' career site, especially their pages on Thinking of a Career in Applied Mathematics?. Most government jobs, such as with Sandia, Argonne, or Oak Ridge National Labs, NASA, or the Jet Propulsion Lab, NIST, or the Dept. of Agriculture are within applied mathematics. Some positions at the National Security Agency are applied mathematics and some are pure mathematics. Here's a report from a workshop on how mathematics is used in industry. Courses in mathematical modelling are helpful in preparing for a career in applied mathematics. 
 
  1. Biomathematics -- The application of mathematics in the health sciences. It's an up-and-coming field, and some say it's the next big trend within mathematics. The Society for Mathematical Biology lists undergraduate and graduate programs. Biomathematics includes bioinformatics, a sort of cs/math/biology hybrid field. The Bioinformatics Organization has job listings in bioinformatics. There's plenty of information here as long as you're willing to ignore poor grammar; colorbasepair has even more information.
 
  1. Biostatistics -- The application of statistics in the health sciences. Here are the ASA and UIowa and Emory and UWash biostatistics careers pages.
 
  1. Computer Science -- This is a field on its own, but one of the mathiest parts of it is graphics and animation. Here, a great example is Pixar, where employees publish research papers involving things like using differential equations to make sure animated clothing doesn't intersect itself. Another especially mathy part is the cryptography involved in network security; think e-commerce and mathematical algorithms like RSA and Rijndael. Here's a detailed overview of cryptography for networks from Gary Kessler. A high level of mathematical ability and background is needed. Consider a double major.
 
  1. Financial Mathematics (or Mathematical Finance, also known as Quantitative Finance) -- Mathematics used on Wall Street, for mortgage backing, financial derivatives, and stock market analysis. Sometimes people in this profession are referred to as "quants." Stony Brook has excellent information.  Here's a short book list and a long book list. The field is fairly new, and there are lots of professional master's programs springing up (see google and google). There are plenty of mathematics graduates who are traders, working with stocks, commodities, or with foreign exchange.
 
  1. Knitwear -- Higher mathematics is rarely used directly in the knitwear industry, but the types of abstraction and rigorous thinking in which mathematicians are trained are used all the time.  Kate Atherley is a technical editor of knitting patterns.  Sandy Black is a professor of knitwear design (interview).  Lynne Barr (interview) creates technically innovative designs.  Or, do it all: Amy Herzog has dual careers as knitwear designer and cybersecurity researcher at Mitre (here's a recent paper).
 
  1. Law or Medicine -- A major in mathematics is a good preparation for law or medical school. Here are a law testimonial and a medicine testimonial.
 
  1. Music -- It's not a common or easy career, but you can do it; witness Jennifer Parkin (Ayria), who earned her math degree from UWaterloo. Still in the educational pipeline as composers/performers/mathematicians are Carl McTague and Kit Armstrong.
 
  1. Operations Research -- The application of mathematics to problems of optimization and decision-making, especially for large-scale or complex problems and especially in the field of business.  In other words, OR people attack every practical problem you've ever thought of, from economic impact of airline safety measures to relocating endangered species of plants.  The discipline is sometimes called Management Science or Industrial Engineering. For more info, check out What is OR/MS? and The INFORMS Career FAQ on Is a Career in OR / Analytics Right for You?
 
  1. Public Health and Epidemiology --  Epidemiologists study the spread of diseases and model how to respond to epidemics. A basic introduction to mathematical epidemiology can be found in Chapter 1 of Calculus in Context.  The Centers for Disease Control and Prevention employ statisticians and mathematicians to model disease and study preventions and interventions. The University of British Columbia Med School's Centre for Disease Control has a Division of Mathematical ModelingEmory has a page on public health informatics.
 
  1. Public Policy -- A mathematics degree can lead to advisory positions in educational and/or science policy as well as work in quantitative public policy. Gillian Brunet is one example of a mathematics major in a public policy career. A master's degree in public policy is often useful (see google).
 
  1. Research Mathematics -- The study of mathematics for its own sake. Just about any mathematics faculty member will be more than happy to chat with you about this. As a career, this almost always requires graduate school; to investigate the possibilities, think about doing something during the summer.
 
  1. Statistics -- The study of methods for collecting, classifying, analyzing and making inferences from data. There are tons of jobs in statistics. For more info, check the  Career Center at the American Statistical Association's website. Here are a few statistics job sites...SASjobs, UFlorida, ASA jobweb, statistics.com...
 
  1. Teaching -- At all levels. Here is EducationWorld's state certification listing and USC's Certification Map. To teach at the community college level, you should get a Master's degree in mathematics or a Master of Arts in Teaching; to teach at the college level, you should get a Ph.D. (in mathematics, mathematics education, applied mathematics, or statistics). Here's an annotated list of K - 12 math sites.
 
  1. Technical Writing -- This includes everything from science reporting for periodicals to writing documentation for computer software to editing textbooks. For more info, check out Careers in Science Writing or Careers in Technical Writing. Here's a technical writing jobs site. Also check out this mini-biography of Allyn Jackson (scroll down), who is a technical writer with the American Mathematical Society. (Not in the mini-bio: she's trained in modern dance as well...)
More career options are listed at Duane Kouba's Mathematics-Related Professions site.
For examples of career paths and advice from professionals in many of the above fields (and more!), check out Career Profiles (Part of the AMS-MAA-SIAM Mathematical Sciences Career Information Project)
Advice on preparing for jobs in the business world (from a panelist at the 2006 Joint Mathematics Meetings who is a consultant of some sort and whose name I didn't catch)

-- People don't know why they should hire mathematicians; be useful as well as smart.
-- Know how to code, using C++ or the equivalent. You will need to deliver not just a solution, but an implementation.
-- Take probability and statistics.
-- You'll need to learn new mathematics regularly and quickly.
-- You'll need to learn the fields of your teammates/clients so you can help them (for example, one needs to learn some chemistry to work with the pharmaceutical industry).
If you're looking for a job, note that many position titles appropriate for mathematics graduates end with the word Analyst.
It also seems that if you've done undergraduate research, you can post an employer-viewable resume at the Registry of Undergraduate Researchers.
What about Graduate School? Go here for all the info you need.
 
Links to More Mathematics Career Information:
http://www.math-jobs.com/ (what more can one say?)
The American Mathematical Society maintains a page of resources on careers, semester and/or summer opportunities, graduate schools, competitions, and other interesting things for undergraduates.
The Mathematical Association of America's Student Career/Employment Resources and Careers sites
California State University at Fullerton has an excellent Math Careers page
The Association for Women in Mathematics maintains a Career Resources page
Bureau of Labor Statistics Occupational Outlook for Mathematicians
Ask questions at the Art of Problem Solving's Careers in Mathematics Forum
Latest update June 2013.  This page was originally developed for the Xavier University Math/CS Department but has since been substantially revised.
I pen off!!!!!!!!!
 

Tuesday 14 July 2015

HOW TO IMPROVE LEARNING AND READING SKILLS

HOW TO IMPROVE LEARNING AND READING SKILLS
 Learning is the activity or process of gaining knowledge or skill by studying, practicing, being taught, or experiencing something. Learning could also be described as the act or experience of one that learns. It is also knowledge or skill acquired by instruction or study. Reading on the other hand is intellectual process involving letter identification, word identification, mentally and simultaneously. Reading can also be seen as a complex cognitive process of decoding symbols in order to construct or derive meaning. Reading experts have discovered that there is a correlation between comprehension and reading speed, since improving physical aspect of reading is crucial to improving speed and comprehension, the reader needs to learn new Motor Skill in developing visual activity and perception. Such include increasing the recognition span, developing rhythmic eye movement and avoiding regression and vocalization. God almighty has deposited in us everything needed to succeed in life. Ours is just to “give “attendance to reading to exhortation, to doctrine. Neglect not the gift that is in thee” (1 Timothy 4:13, 14).
However, as a student, there are many things expected of you. Below are some: 
 
APPROACH TO A BETTER LEARNING SKILL
Many people recognize that each person prefers different learning styles and techniques. Learning styles refers to common ways that people learn. Everyone has a mix of learning styles. Some people may find that they have a dominant style of learning, with far less use of the other styles. Others may find that they use different styles in different circumstances. There is no right mix. Nor are your styles fixed. You can develop ability in less dominant styles as well as further develop styles that you already use well.
If you have a solitary style of learning, you are more private, introspective and independent. You can concentrate well, focusing your thoughts and feelings on your current topic. You are aware of your own thinking, and you may analyze the different ways you think and feel. You spend time on self-analysis, and often reflect on past events and the way you approached them. You take time to ponder and assess your own accomplishments or challenges. You may keep a journal, diary or personal log to record your personal thoughts and events. It should be noted however that distractions must be avoided completely during learning irrespective of the learning method.\
 
Let's consider three things briefly....
 
1. APPROACH TO A BETTER READING SKILL
The basic strategy for a successful reading is the SQ 3R formula. This technique involves five (5) steps: S – Survey Q- Question R- Reading R- Recall R- Review
v  Survey: Before the commencement of reading or studying, it is expected that one looks through the whole of the material to be read e.g. the title, preface, table of contents
v  Question: The reader will be expected to formulate some specific questions that will relate the heading and sub-heading of the materials
v  Read: This means reading carefully, actively and critically applying the techniques that enable one to read with increased eye span and mastery of objects
v  Recall: study reading involves more than simply reading very carefully and with concentration. It includes testing, organizing, relating concepts and facts, mastery technical terms and formula, outlining, summarizing and reviewing.
v  Review: This aspect includes surveying the whole materials again, making sure of the structure and organization of the materials it involves re-identifying of the major ideas and important details, re-reading sections that have been noted or underlined, recalling materials in a sequence and reviewing note.
If all these steps are strictly adhered to, there will be improvement in the student’s leaning and reading skills
 
2. ADAPTING A GOOD STUDYING SKILLS
Many youths’ problem of learning and reading have been attributed to lack of understanding and adapting good learning and reading skills. Below are some tips on developing a good and reading skill:
I      Prepare for reading
(i)      Be specific on what you want to read
(ii)      Find a place where you can concentrate
(iii)    Schedule a routine time to read
II   Implement the basics of reading in point 2 above
(i)      Survey -
(ii)      Question -
(iii)      Read – read the pages carefully. Do not rush, take your time
(iv)      Recall – go through the details to comprehend the text as you read it
(v)       Review – glance through the book (material) again to ensure you have full understanding of its content
 
III     Advance your reading skills
(i)      Read as much as you are able to each time you read. Take a break when you are bored or need a break. Reading should be fun and enjoyable. After your break, return where you stopped and continue
(ii)   Re-read the material if required. It is not wrong to re-read if you do not understand it fully the first time
(iii)      Keep reading. Try to read as much as you can on your reading and free time. Reading will help you in lots of ways; your understanding will be improved, your vocabulary will become better and more standard, above all you will notice your grades change for better in school, that is; better academic performance.
Students are encouraged to cultivate a consistent habit of learning and reading ahead of tests, examinations, etc. to achieve improved academic performance.

SOLVING MATHEMATICS WITH EASE


SOLVING MATHEMATICS WITH EASE

Do you feel nervous about mathematics? Do you dislike mathematics? Do you have fear of doing/solving mathematics? If so, you are not alone. Do you feel a little flushed when you think about doing math homework? Do you think you're no good at math? If you find yourself putting off your math work or dreading math tests, you may suffer from math anxiety. I call all these happenings "Mathematics Anxiety." Mathematics anxiety is not unusual. Mathematics anxiety is a condition that you have the power to change, if you so desire. Mathematics anxiety is a learned behavior; you can change it!

Therefore,

What is Mathematics Anxiety?

I defined MathematicsAnxiety as a type of fear. Sometimes fear is merely the dread of some unknown that lurks out there.

Your success in your mathematics as a subject depends on how you study. If you follow the following good practices listed below, your success in mathematics will improve.

You might be experiencing some symptoms of mathematics anxiety such as:

·      negative self-talk e.g. I can’t, am not, is not possible 

·      lack of motivation to work on mathematics either from friends, teachers, or parents

·      not studying regularly

·      putting off mathematics homework until the last minute

·      panic when doing mathematics homework or tests

·      difficulty remembering mathematics facts or formulas

·      relying on memorization rather than understanding

The question now is how do you conquer this type of fear (Mathematics Anxiety)?

Briefly I will say,

You should isolate it, examine it closely, and understand what it's made of. When you do this, you'll soon find that the fear goes away. To buttress these few points, I will be discussing the topic OVERCOMING MATHEMATICS ANXIETY in the next issue.

Thanks for reading and God bless you.