Mathematics in the modern world

An introduction to math in the Modern World Subject

1. This course deals with the nature of mathematics, appreciation of its practical, intellectual and aesthetic dimensions and applications of mathematical tools in daily life. The course begins with an introduction to the nature of mathematics as an exploration of patterns (in nature and in the environment) and as an application of inductive and deductive reasoning. By exploring these topics, students 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 various dimensions of mathematics as a way of knowing, and test the students’ understanding and capacity. (CMO No. 20, series of 2013). MATHEMATICS IN THE MODERN WORLD

2. THE NATURE OF MATHEMATICS MATHEMATICS AS A TOOL MATHEMATICS OF GRAPHS MATHEMATICAL SYSTEMS COURSE OUTLINE

3. THE NATURE OF MATHEMATICS Mathematics in our Modern World Patterns and Numbers in Nature and World The Fibonacci Sequence and Golden ratio The Mathematics for our World Speaking Mathematically Variables The language of Sets The Language of Relations and Functions Problem Solving Polya’s 4-steps in problem Solving Inductive and Deductive Reasoning Problem Solving with Patterns Problem-solving Strategies MATHEMATICS AS A TOOL MATHEMATICS OF GRAPHS MATHEMATICAL SYSTEMS COURSE OUTLINE

4. THE NATURE OF MATHEMATICS MATHEMATICS AS A TOOL Statistics Measures of Central Tendency Measures of Dispersion Measures of Relative Position Normal Distributions Linear Regression and Correlation Logic Logic Statements and Quantifiers Truth Tables, Equivalent Statements and tautologies The Conditional and the Biconditional The Conditional and Related Statements Symbolic Arguments Arguments and Euler Diagrams MATHEMATICS OF GRAPHS MATHEMATICAL SYSTEMS COURSE OUTLINE

5. THE NATURE OF MATHEMATICS MATHEMATICS AS A TOOL MATHEMATICS OF GRAPHS Graphs and Euler Circuits Weighted Graphs Planarity and Euler/s Formula Graph Coloring MATHEMATICAL SYSTEMS COURSE OUTLINE

6. THE NATURE OF MATHEMATICS MATHEMATICS AS A TOOL MATHEMATICS OF GRAPHS MATHEMATICAL SYSTEMS Modular Arithmetic Applications of Modular Arithmetic Introduction to group Theory COURSE OUTLINE

7. Mathematics in our Modern World Patterns and Numbers in Nature and World The Fibonacci Sequence and Golden ratio The Mathematics for our World ======================================================================== C:\Users\USER\Desktop\rex gec \fibonaci.mp4 C:\Users\USER\Desktop\rex gec \ videoplayback (2).mp4 CHAPTER I

8. ACTIVITY 1 . Simple research paper with oral presentation with focus on identifying where mathematics, patterns and /or numbers (patterns, series, sequences etc.) are evident in Nature. It can be any of the following: short videos, pictures, documentaries and other collections. e.g. The Snowflake and Honeycomb, tiger’s stripes and hyena’s spots, the sunflower, the snail’s shell, flower petals, the world’s population and etc. The preparation will be by group of 5. The schedule of the presentation is on _______. 0- The student is unable to elicit the ideas and concepts from the readings and videos 1- The student can demonstrate behavior that elicit the ideas and concepts from the readings and videos watch 2 - The student can demonstrate behavior that elicit the ideas and concepts from the readings and videos watch with correctly and accurately 3 - The student not only elicits the correct ideas from the readings and videos but also shows evidence of internalizing it. 4 - The student elicits the correct ideas from the readings and video, shows evidence of internalizing theses, and consistently contributes additional thoughts to the core idea. CHAPTER I

9. ACTIVITY 2. Journal writing for possible reflection opportunities. Opportunities for Journal writing includes questions such as: What new ideas about mathematics did you learn? What is most useful about mathematics for humankind. On each of the presentation of your classmates, write a reflection of your learning using the guide questions. CHAPTER I

10. ACTIVITY 3. Artwork activities showcasing drawing skills creating original paintings or pictures that resembles patterns, golden ratio, Fibonacci and the likes. CHAPTER I