Description:
Introduction to the nature of mathematics, mathematics language and symbols, problem-solving, and reasoning. Appreciation of its practical, intellectual, and aesthetic dimensions, and applications of mathematics in daily life. It also deals with different mathematical tools and linear programming. Topics about finance, apportionment, and the voting system are also included. It also covers mathematical graphs and systems.
Overview:
This course begins with an introduction to the nature of mathematics as an exploration of patterns (in nature and the environment) and as an application of inductive and deductive reasoning. By exploring these topics, we are encouraged to go beyond the typical understanding of mathematics as merely a set of formulas but as a source of aesthetics in patterns of nature, for example, and a rich language in itself (and of science) governed by logic and reasoning.
The course then proceeds to survey ways in which mathematics provides a tool for understanding and dealing with various aspects of present-day living, such as managing personal finances, making social choices, appreciating geometric designs, understanding codes used in data transmission and security, and dividing limited resources fairly. These aspects will provide opportunities for actually doing mathematics in a broad range of exercises that bring out the various dimensions of mathematics as a way of knowing, and testing the students' understanding and capacity (CHED, 2017).
Mathematics is the science that deals with the logic of shape, space, quantity, and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture, art, history, money, engineering, and even sports.
Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences. Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory. Mathematicians engage in pure mathematics without having any application in mind, but practical applications for what began as pure mathematics are often discovered later.
(1) What is Mathematics? | Live Science
by TED-Ed [5:10] | YouTube
by TED-Ed [4:29] | YouTube
by DoS - Domain of Science [11:05] | YouTube
by TED [17:04] | YouTube
(5) The History of Mathematics and Its Applications
by Zach Star [21:17] | YouTube
by Zach Star [21:17] | YouTube
Topics:
1. The Nature of Mathematicsa. Patterns in Nature and the World Nature
b. Number Patterns
c. Geometric Patterns
2. Mathematics Language and Symbols
a. The Language of Mathematics
b. Expressions vs. Sentences
c. Concepts of Function
d. Fundamentals of Logic
3. Problem Solving and Reasoning
a. Inductive Reasoning
b. Deductive Reasoning
c. Polya's Problem Solving Strategy
4. Mathematics as a Tool
a. Hypothesis Testing
b. Correlation and Linear Regression
5. Linear Programming
a. Linear Programming
b. Solving Linear Programming Problems
6. The Mathematics of Finance
a. Simple Interest and Compound Interest
b. Credit Cards
c. Stocks and Bonds
7. Apportionment and Voting System
a. Introduction to Apportionment
b. Fairness in Apportionment
c. Introduction to Voting
8. Mathematics of Graphs
a. Euler Paths and Circuits
b. Weighted Graphs
c. Euler's Formula
d. Graph Coloring
9. Mathematical System
a. Modular Arithmetic
b. Operations in Modular Arithmetic
c. Applications of Modular Arithmetic
PDF Materials (E-Books):
(1) [TITLE]
by [Author(s)]
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