“Is mathematics discovered or invented?” To commence with this essay, we must first understand a few key words used in this statement and question. ‘Mathematics’ is generally believed to be the body of knowledge centered on concepts such as quantity, structure, space, and change, and also the academic discipline that studies them. Whereas ‘discover’ and ‘invent’ means to find information, a place or an object, especially for the first time and to design or create something which has never been made before respectively. Therefore this question can be rephrased. The body of knowledge centered on concepts such as quantity, structure, space, and change is being found or created? Actually, this is a great philosophical question. Mathematics is like a religion. Though it appears to be a very precise and concrete subject with many proofs to support with, for example like the Pythagoras’s theorem to support the a relation in Euclidean geometry among the three sides of a right triangle, it is not always how it seems. We never know whether the so called proof is correct. What if one day somebody simply proved this theory wrong? There could be many fallacies behind. Generally, there are two streams of people who believe in different sides of mathematics. One believes that there are universal principles that just "are" and what we as humans are doing are to discover them one by one. And obviously the other one believes that mathematics is invented. Actually, personally I think there is no definite answer for this question. The answer is uncertain because mathematics is genuinely being discovered and also invented. Back to the very basic, mathematics itself did not exist before there was somebody who literally studied mathematics, who worked on mathematics etc. it is us, human being who grouped the concepts such as quantity, structure, space, and change into mathematics. Therefore, we can say that we invented the subject mathematics. However, concepts such as quantity,...

...Was mathematicdiscovered or created.
To elaborate on this more, we need to define the terminology first. Discovered is the thing always exist. Someone found it. Invented is the thing did not previously exist. Someone created it. What about mathematics? Mathematics is a tool, a model. It is something that we can use to describe or model parts of reality, or any other system based on quantifiable things....

...Knowledge: Invented, Discovered, or Both?
One cannot say with certainty that specific areas of knowledge are invented nor can one say with certainty that areas of knowledge are discovered. Two areas of knowledge that deal with this topic are mathematics and natural science. In my opinion, I believe that mathematics is an invented area of knowledge with some discovery whereas science is a...

...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...

...Week 5
Final Exam
Continuous schedule from Friday , November 1st. 9am until Saturday , November 2nd., 23:59pm.
Monday, November 4, 2013
20%
100%
To obtain the opportunity to take your final exam you should have delivered at least 6 activities.
Please keep this Agenda at hand so that you can deliver you assignments on time.
Greetings,
Blanca Alanís
Posted by: BLANCA HILDA ALANIS PENA
Posted to: CEL.HI09107V.343.13320 Inglés VII...

...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
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...

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