Mathematics
"If people do not believe that
mathematics is simple, it is
only
because they do not
realize how complicated life is."
- John von Neumann
Mathematics is not just about numbers. It is
also about:
- problem solving
- reasoning (inductive and deductive)
- intuition, proof, and certainty
- varied problem solving strategies
- mathematical problems involving patterns
- and many more
A regularity is the fact that the same thing always
happens in the same circumstances.
Pattern is a discernible regularity in the world or in a
man-made design and the elements repeat in a
predictable manner.
Patterns in Nature are visible regularities of form
found in the natural world and recur in different
contexts and can sometimes be modelled
mathematically.
Logic patterns
are related to geometric
patterns and number patterns. It helps us
classify objects or figures. One kind of logic
patterns deal with characteristics of various
objects. Another kind deals with orders: there is
a sequence of objects and a pattern in the
attributes the objects possess.
A number pattern is a list or set of numbers
that follow a certain sequence or
arrangement in either
ascending or
descending order. It includes basic
operations of mathematics or a certain
series of in series of arithmetical operation
like addition and multiplication repeatedly
done.
Fibonacci Numbers is another one in this
world that involves pattern (Grist, 2011).
They are nature’s numbering system and
appear everywhere in nature, from the
leaf arrangement in plants, to the pattern
of florets of flower, the bracts of a pinecone, or the scales of a pineapple.
In mathematics, the Fibonacci numbers, commonly
denoted by Fn, form a sequence
called
the Fibonacci sequence, such that each number is
the sum of the two preceding ones, starting from 0
and 1. That is,
F0 = 0 and F1 = 1 and Fn = Fn-1 + Fn-2 for n > 1
The beginning of the sequence is thus: 0, 1, 1, 2, 3, 5,
8, 13, 21, 34, 55, 89, 144,…