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Archive for August, 2010

What is Mathematics?

Monday, August 23rd, 2010

Mathematics is the study of numbers, quantity, structure, space, and change. Mathematicians find out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.

Mathematic is a science that study quantity, structure, space and change. It looks for a model, patterns, create new conjectures and develop truth basing on a deductions from appropriately chosen axioms and definitions.

There is a discussion on mathematical items like numbers and points exist in nature or are created by human. One of the great mathematician Benjamin Price said that mathematics is “the science that draws necessary conclusions”. On the other side Einstein thought that “as far as the laws of mathematics refer to reality, they are not certain and as far as they certain, they do not refer to reality.”.

Mathematics originated from logical reasoning, counting, calculation, measurement and systematic studies like the ones of shapes or motion. We can say that mathematics has been a human concern since written record exist. First tough elements of mathematics appeared in Ancient Greek, in Euclid’s Elements. Mathematics developed in China (300 BC), India (100 CE) and in Arabia (800 CE). In a Renaissance mathematics starts to heavily interacts with and confirms a lot of new scientific discoveries and that effected in a rapid growth of this discipline and high interest which is present and evolved in today’s world.

It is used as a basic tool in many fields covering natural science, engineering, medicine and of course the social sciences. Applied mathematics is the branch that takes care of possibilities and ways to apply it in many different ways. For example thanks to it we have a statistics data. Mathematicians also took a clear mathematic path devoting themselves strictly to their study.

The word “mathematics” comes from máthÄ”ma (Greek) and means: study, science, learning and also has a narrow meaning – “mathematical study” which was present in Classical times. Adjective created from is strictly joined with learning experience and in Latin ‘ars mathematica’ was meaning literally ‘mathematical art’.

It is proven that even prehistoric people were able to count quantities like ones connected directly to time, days, seasons and years. Basic arithmetic followed naturally.

Generally mathematics can be divided into studies of quantity, structure and space and of a change for algebra and analysis. There are also other main links that goes out of mathematic tree that are: logic, foundations theory, empirical mathematics (mentioned above applied mathematics) and most recent studies on theory of uncertainty.

Building a Good Foundation in Mathematics

Tuesday, August 10th, 2010

A solid foundation in mathematics can be crucial for a student’s performance in academics. Mathematics is an essential part of everyday life. Many students in school may have a natural ability to show a good performance pattern in the subject and it is usually an outcome of regular practice during the early stages. As a tutor, one must understand that the subject is purely based on practice and familiarity. Many other students often find the concepts and judgments to be complicated and most of the problem may be pertaining to teaching methods. One can overcome these problems.

Since a strong math foundation may be desired for students at least in the early years, the internet has been filled with courses of such relevance in website texts and videos. Many schools may be reputed to provide instructions which may not be really grasped except by the ones really attentive and sharp. Some of the reasons for a poor performance in mathematics may also result from focusing too narrowly on one aspect. The different branches of mathematics that are taught as basic knowledge required for professional workmanship before you specialize are Arithmetic, Algebra, Geometry and Probability. Although not a part of the primary level education, probability can be a new area of problem once encountered in the higher grades. As for the performance in examinations, it is imperative that a student is well prepared with the required knowledge. Starting with simpler examples and gradually increasing your potential to solve tougher problems is the key.

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