2.1 What is mathematics all about? The assignment brief suggests two viewpoints: (1) Mathematics is a given body of knowledge and standard procedures that has to be covered or
(2) Mathematics is an interconnected body of ideas and reasoning processes

2.2 The first viewpoint considers mathematics as a discipline consisting of rigid compartments of knowledge with set techniques and routine algorithms. The second viewpoint suggests that mathematics is made up of interlinking ideas to be developed through experimenting and investigation.

2.3 From a teaching and learning point of view, one’s conception of the nature of mathematics is considered to have a profound impact on one’s teaching practice. According to Hersh (1986), the issue is not “What is the best way to teach but, What is mathematics really all about?” (Grouws, 1992, page 127).

2.4 The perception of the nature of mathematics not only influences how the subject is taught, but also has implications on how mathematics education for school is defined. Indeed, Ernest (1991) states that the view of the nature of mathematics together with the social and political contexts are seen as the key factors affecting curriculum planning (Ernest, 1991, page 125).

2. Literature Review

3.5 Lerman (1990) has identified two contrasting themes concerning the nature of mathematics, namely the absolutist and fallibilist views. According to him, they correspond to the two competing schools of thought in the philosophy of mathematics suggested by Lakatos (1978): Euclidean and Quasi-empirical. The former considers mathematics to be based on a body of unchallengeable truths whilst the latter sees mathematical knowledge a result of a discovery process involving conjectures, hypotheses and refutations.

3.6 Ernest (1996) explained that absolutism considers mathematics to be timeless and a priori knowledge. In his view, teachers who hold...

...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...

...Level 1/Level 2 Certificate
Mathematics
Specification
Edexcel Level 1/Level 2 Certificate in Mathematics
(KMAO)
First examination June 2012
Edexcel, a Pearson company, is the UK’s largest awarding body, offering academic
and vocational qualifications and testing to more than 25,000 schools, colleges,
employers and other places of learning in the UK and in over 100 countries
worldwide. Qualifications include GCSE, AS and A Level, NVQ and our BTEC...

...mother of Europe's languages. India was the mother of our philosophy, of much of our mathematics, of the ideals embodied in Christianity... of self-government and democracy. In many ways, Mother India is the mother of us all."
- Will Durant, American Historian 1885-1981
Mathematics is an important field of study. Mathematics is essential as it helps in developing lots of realistic skills, in fact study of mathematics itself include the...

...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...

...SYMMETRY
Symmetry is everywhere you look in nature .
Symmetry is when a figure has two sides that are mirror images of one another. It would then be possible to draw a line through a picture of the object and along either side the image would look exactly the same. This line would be called a line of symmetry.
There are two kinds of symmetry.
One is bilateral symmetry in which an object has two sides that are mirror images of each other.
The human body would be an...

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