2.1._mathematics_as_a_language-1.pptx

MATHEMATICS AS A LANGUAGE Mathematics in the Modern World Wait! Before we talk about “MATH” Lets PLAY A GAME! Ooopss… …just a game of what’s next!!! WHAT’S NEXT? ANSWE R:  WHAT’S NEXT? ANSWE R: 12,345,654,32 1  WHAT’S NEXT? 1 ANSWE R:...

MATHEMATICS AS A LANGUAGE Mathematics in the Modern World Wait! Before we talk about “MATH” Lets PLAY A GAME! Ooopss… …just a game of what’s next!!! WHAT’S NEXT? ANSWE R:  WHAT’S NEXT? ANSWE R: 12,345,654,32 1  WHAT’S NEXT? 1 ANSWE R: 1 3 1=2 −1 2 7 3=23 −1 15 7=2 4 −1 31 15=25 −1 31=2 −1 IS THIS THE ONLY EXPLANATION? WHAT’S NEXT? ANSWE R: WHAT’S THE PATTERN IN THE GIVEN SET OF EQUATIONS ?  LETS BEGIN! How did you learn your native language? (Filipino/Chinese English/Japanese Korean…)  MATHEMATICS AS LANGUAGE A LANGUAGE is a systematic means of communicating by the use of sound or conventional symbols. It is the code we all use to express ourselves and communicate to others. Components of a language: Vocabulary of symbols or words Grammar or rules of how these symbols are used Community of people who use and understand these symbols Range of meanings that can be communicated with these symbols.  ENGLISH LANGUAGE MATHEMATICAL LANGUAGE Symbols: English Letters Symbols: English Letters/ Vowels and Consonants Arabic Numerals Variables and Constants Words Term Phrases Algebraic Expressions Sentences Mathematical statements: Equations, Inequalities, etc  ELEMENTS OF THE MATHEMATICAL LANGUAGE  The Language of Mathematics was designed so we can write about: 1.Things like Numbers, Sets, Functions, etc. 2.What we Do with those things (add, subtract, multiply, divide, join together, etc.)  SYMBOLS Mathematics uses symbols instead of words: There are the 10 digits: 0, 1, 2,... 9 There are symbols for operations: +, −, ×, /,... And symbols that "stand in" for values: x, y,... And many special symbols: π, =,