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The Role and Nature of Mathematics: An Exploration, Slides of Mathematics

This document delves into the science of mathematics, its nature, indispensability, and various applications. It discusses mathematics as a universal language of science, a means of recognizing patterns, and a gateway for national progress. The document also covers the different types of numbers and their roles in mathematics.

Typology: Slides

2023/2024

Available from 02/20/2024

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THE ANGELITE PRAYER
Almighty God, we glorify You for giving us
the Angelite Charism. We thank You for the gift of
your Son, Jesus Christ, who is the Way, Truth, and
Life. We bless you for the continuous guidance of
the Holy Spirit.
Grant us, we pray, courage and strength
that we may give perpetual praise to You in
whatever we do. We ask this through Christ, our
Lord. Amen.
Oh, Holy Guardian Angels, guide us and
protect us! Laus Deo semper!
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THE ANGELITE PRAYER

Almighty God, we glorify You for giving us the Angelite Charism. We thank You for the gift of your Son, Jesus Christ, who is the Way, Truth, and Life. We bless you for the continuous guidance of the Holy Spirit. Grant us, we pray, courage and strength that we may give perpetual praise to You in whatever we do. We ask this through Christ, our Lord. Amen. Oh, Holy Guardian Angels, guide us and protect us! Laus Deo semper!

NATURE OF

MATHEMATICS

Mr. Lloyd T. Estrada Holy Angel University

NATURE OF MATHEMATICS

▪ Mathematics is the science of patterns and relationship. ▪ Mathematics is universal. ▪ Mathematics is the chief language of science ▪ Mathematics is the subject of logical sequence.

What is Mathematics about? What is Mathematics for? Who uses Mathematics? NATURE BY NUMBERS.MP

What is MATHEMATICS about? a formal system of thought for recognizing , classifying and exploiting patterns developed by human and culture Ian Stewart

Complex Numbers a + bi Real Numbers 0, 1, 2/3, - 4, 𝟓 Rational Numbers ½, 0.25, - 3, 1 Integers …, - 2, - 1, 0, 1, 2, .. Whole Numbers 0, 1, 2, 3, … Natural Numbers 1, 2, 3, … Zero 0 Negative Numbers

- 1. - 2. - 3, … Fractions/ Decimals ½ , 0. Irrational Numbers 𝝅, 𝟐 Imaginary Numbers 3i, −𝟏

Complex Number System

What is MATHEMATICS for?

❑ To organize the underlying
patterns in nature
❑ To help explain natural
phenomena
❑ To predict how nature will
behave
❑ To make practical use of
what we have learned about
our world
PATTERNS IN NATURE

“We live in a universe of PATTERNS.”

SYMMETRY

  • Is a correspondence in size, shape, and relative position of parts on opposite sides of a dividing line or about a center or axis

STRIPE

  • Is a line or band that differs in color or tone from an adjacent area
TESSELLATION
  • is a pattern formed
by repeating shape
all over a surface
  • February 3,

“Math, rightly viewed, possesses not only truth, but supreme beauty – a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublime pure, and capable of a stern perfection such as only the greatest art can show.”

- Bertrand Russell