Nature of Mathematics - Module 1 PDF

NATURE OF MATHEMATICS GEMMW01X - CM 1  MODULE Reflect and discuss the impact of one’s GOALS knowledge of mathematics in the modern world; Assess and discuss the importance of one’s knowledge of mathematics in the modern world in one’s professional advancement; Demo...

NATURE OF MATHEMATICS GEMMW01X - CM 1  MODULE Reflect and discuss the impact of one’s GOALS knowledge of mathematics in the modern world; Assess and discuss the importance of one’s knowledge of mathematics in the modern world in one’s professional advancement; Demonstrate honesty and integrity in the application of mathematics to various human endeavors; Discuss and argue mathematics as a useful way of to think about nature and the world as well as its definition, expressions, representations, importance, and usage; Share learned insights and appreciation on the nature and use of mathematics in everyday life;  WHAT DO YOU NOTICE IN THESE PICTURES? MATHEMATIC S Defined as study of numbers and arithmetic operations; Set of tools that can be applied to question of “how many” or “how much”; A study of pattern; A language; A process of thinking; A set of problem solving tools; An art.  PATTERN It is an arrangement which helps observers anticipate what they might see or what happens next.  PATTERN-SEEKING BEHAVIOR OF HUMANS  CITE OTHER PATTERN-SEEKING BEHAVIORS IN HUMANS. VARIOUS TYPES OF PATTERN  LOGIC PATTERN usually first to be observed involves classifying things and enumeration GEOMETRIC PATTERN A motif or design that depicts abstract shapes like lines, polygons, and circles like a wallpaper NUMBER PATTERN usually familiar to students since it is the first pattern encountered in school EXAMPLES WORD 1. hot : cold :: day : _____ 2. car : road :: boat : _____ PATTERN 3. tomato : tomatoes potato : _____ Found in language like 4. book : read :: movie : morphological rules on _____ pluralizing nouns or 5. doctor : hospital conjugating verbs for teacher: _____ tense 6. tree : forest :: house : Pattern in form and syntax _____  CHECK YOUR UNDERSTANDING Determine what kind of pattern is being used in the picture. Logic Pattern Geometric Pattern Word Pattern  CHECK YOUR UNDERSTANDING Determine what kind of pattern is being used in the picture. Logic Pattern Geometric Pattern Word Pattern  CHECK YOUR UNDERSTANDING Determine what kind of pattern is being used in the picture. Logic Pattern Geometric Pattern Number Pattern MATHEMATICS IN NATURE Leonardo da Vinci’s Vitruvian Man showing proportion and symmetry of the human body TYPES OF SYMMETRY  SIX-FOLD SYMMETYR Y  THREE- FOLD SYMMETRY FIVE-FOLD SYMMETRY FOUR-FOLD SYMMETRY FIBONACCI SEQUENCE 0, 1, 1, 2, 3, 5, 8, 13, 21,... Leonardo of Pisa Pinecone showing clockwise and counterclockwise spiral GOLDEN RATIO approximately equal to 1.618 ratios of successive Fibonacci numbers approach this number  CHECK YOUR UNDERSTANDING Determine what kind of symmetry is illustrated. Seven-fold Symmetry Eight-fold Symmetry Six-fold Symmetry  CHECK YOUR UNDERSTANDING Determine what kind of symmetry is illustrated. Bilateral Symmetry Four-fold Symmetry Ten-fold Symmetry  CHECK YOUR UNDERSTANDING Determine what kind of symmetry is illustrated. Bilateral Symmetry Three-fold Symmetry No Symmetry  EXIT TICKET 1. Rate your understanding of today’s discussion. (5 is the highest and 1 is the lowest) 2. Based on what you have learned on the lesson, in 2-3 sentences reflect on the role of mathematics in shaping our world and your personal experiences. 3. Anything you did not like during our session today? Feel free to say it here.