Mathematics (from Greek "knowledge, study, learning") is the study of quantity, structure, space, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. The research required to solve mathematical problems can take years or even centuries of sustained inquiry. Since the pioneering work of Giuseppe Peano (1858-1932), David Hilbert (1862-1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. When those mathematical structures are good models of real phenomena, then mathematical reasoning often provides insight or predictions. Through the use of abstraction and logical reasoning, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that continues to the present day.

Who invented the addition sign??
The plus or addition sign was invented by Michael Stiple in 1544.

MULTIPLICATION OF FRACTIONS
Multiply the top numbers (the numerators).Multiply the bottom numbers (the denominators). Simplify the fraction if needed.

The reciprocal of a fraction is obtained by interchanging the numerator and the denominator, i.e. by inverting the fraction. Ratio
It is a relationship between two quantities.
REDUCING RATIO IN LOWEST TERM
To reduce ratio in lowest term divide the given ratio by their GCF. Proportion
If the...

...Introduction
• Students often complain about Math and its application in life
• Mathematics is “..the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations.”
Body
A. Early Math skills directly correlate to scholastic achievement
• Those who learned most math in Kindergarten had highest scores during further education
• UC...

...I know very well what my weak point is. I am not a writing women; I am in love with numbers. Mathematic is my favorite subject since I began to study. My mother is an accountant, and my father is a civil engineer. The first thing that I teach me was to count 1 to 10 with only one year and half. Math is my favorite subject, for three reasons, this subject-matter pushes me to think carefully, be organize when solving math exercises, and...

...Investigation: Intersecting Chords of a Circle
On completion of the investigation I had learned many new important qualities associated with the intersecting chords within a circle theorems. The three theorems studied in this investigation include: Two chords intersecting externally, two chords intersecting internally and the intersection of a chord and tangent. Each theorem can be used to determine different things (e.g. the tangent-chord theorem can be used to determine the approximate...

...that the paper itself could be a solution to the problem mentioned. Moreover, it makes the thesis more realistic.
To sum up everything that was tackled, I could say that the thesis served to have an important purpose in the current state of Mathematics Education in the Philippines. It is very informative and feasible. Since it is a small study because it only involved 6 average students, we could propose more studies rooting from this which would have a bigger scope such as...

...History of mathematics
A proof from Euclid's Elements, widely considered the most influential textbook of all time.[1]
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Before the modern age and the worldwide spread of knowledge, written examples of new mathematical...

...HISTORY OF MATHEMATICS
The history of mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been fundamental to advances in science, engineering, and philosophy. It has evolved from simple counting, measurement and calculation, and the systematic study of the shapes and motions of physical objects, through the application of abstraction, imagination and logic, to the broad, complex and often abstract discipline we know...

...Maths and other subjects relation
Mathematics and its importance
Mathematics is a fundamental part of human thought and logic, and integral to attempts at understanding the world and ourselves. Mathematics provides an effective way of building mental discipline and encourages logical reasoning and mental rigor. In addition, mathematical knowledge plays a crucial role in understanding the contents of other school...

...ABSTRACT
The study entitled “TEACHERS’ ATTITUDE AND ITS RELATION ON THE MATHEMATICSSUBJECT AS PERCEIVED BY SELECTED SECOND YEAR STUDENTS OF DASMARIÑAS NATIONAL HIGH SCHOOL S.Y. 2010 – 2011” conducted by Aira Shane M. Balmes, Ruth A. Bobadilla and Mika B. Miralles aims to determine whether the perception of the students to the attitude of the teachers has a significant relationship to their academic performance.
The researchers used the Descriptive...