Mathematics is a formal system of thought for recognizing, classifying, and exploiting patterns that was developed by human mind and culture. It is a study of patterns, a set of problem-solving tools, and a process of thinking. Mathematics can be found everywhere in daily tasks, nature, arts, medicine and other disciplines. It is useful for making conclusions and predictions about the world, describing natural occurrences, and organizing patterns. Mathematics involves numbers, symbols, equations, operations, functions, calculations, abstractions, and devising proofs. It is done with curiosity, seeking patterns, a desire to know the truth, and trial and error. Mathematicians, scientists, and everyone uses mathematics as it puts order in disorder

1. Section 1
The Nature of Mathematics
Mathematics in our World

2. Getting
to
Know
Mathematics

3. What is mathematics?
Mathematics, developed by human
mind and culture, is a formal system of
thought for recognizing, classifying, and
exploiting patterns.
(Stewart, p. 1)

4. The
Nature
of
Mathematics

5. Mathematics
is a/an…..
study of
patterns
art language
set of problem-
solving tools
process of
thinking

6. Mathematics
set of problem solving
tools
study of patterns art
language
process of thinking
logic
patterns
number
patterns
geometric
patterns
word
patterns
propositions mathematical
reasoning
truth value
connective
compound
proposition
truth table tautology
bit
operations
contingency
contradiction
propositional
functions
quantification
universal
existential
is a
is a
is a
examples of
which are
each have a
can be joined
using a
to form a
can be
shown as
true or false
via a
can be a
can also
be
joined
using
which includes, among
other elements
can give rise
to a
which can be
made true or
false via
which can
either be
inductive
deductive
proofs
methods of proof
rules of
inference
fallacy
which can
either be
involves
use of
and there are
different
which is valid if
based on
which is invalid
if based on
Nocon and Nocon

7. Where is mathematics?
• in every people’s daily
task or activity
• in nature, arts, music,
medicine, and other
disciplines
• in communities
IT IS EVERYWHERE

9. What is mathematics for?
• useful in making conclusions and/or predictions of
the events of the world
• use to describe the natural order and occurrences of
the universe
• use to organize patterns and regularities as well as
irregularities

10. What is mathematics for?
• help to control weather, epidemics
• provide tools for calculations
• provide new questions to think about

11. What is mathematics all about?
numbers, symbols, equations, operations,
functions, calculations, abstractions,
devising proofs

12. How is mathematics done?
• with curiosity
• with a penchant for seeking patterns and
generalities
• with the desire to know the truth
• with trial and error
• without fear of facing more questions and problems
to solve

13. Who uses mathematics?
• mathematicians (pure and applied)
• scientists (natural and social)
• everyone

14. Why is mathematics important to
know / learn?
• It puts order in disorder.
• It helps us become better persons.
• It helps make a world a better place to live in.

15. Homework:
Look for Fibonacci numbers in fruits,
vegetables, flowers, or plants available in
your locality/backyards.Note:no copy
pasting.Take picture with the caption the
name of the plants /parts and the
Fibonacci number(1,2,3,5,8,13,21…).

16. References:
Stewart, I (1995). Nature’s Numbers. Basic Books
Nocon, R. and Nocon, E. Essential Mathematics for
the Modern World
Vistru-Yu, C. PowerPoint Presentation. CHED-GET
AdMU Training
Nature in Numbers. youtube.com