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MMW
FIBONACCI, GOLDEN RATIO, REASONING, POLYA
| Term | Definition |
|---|---|
| Fibonacci is born in | Pisa, Italy |
| Full name of Fibonacci | Leonardo Pisano |
| He realized the advantages of the | Hindu-Arabic system |
| Introduced the hindu-arabic number system into | Europe |
| Hindu-Arabic number system is based on | ten digits and a decimal point |
| Fibonacci sequence definition | it is a set of numbers that starts with a one or a zero, followed by a one, and proceeds based on the rule that each number is each number is equal to the sum of the preceding two numbers |
| The fibonacci numbers were introduced in | The Book of Calculating |
| Formula used to find the nth Fibonacci number | Binet's Formula |
| Golden ratio definition | We find the golden ratio when we divide line segment into two parts so that the long part divided by the short part is also equal to the whole length divided by the long part |
| "The laws of nature are written in the language of mathematics" | Galileo Galilei |
| is defined as systematic means of communicating ideas or feelings by the use of conventionalized signs, sound, gestures, or marks having understood meanings. | Language |
| N | Set of natural numbers |
| W | Set of whole numbers |
| Z | Set of integers |
| R | Set of real numbers |
| Q | Set of rational numbers |
| Λ | logical “and” |
| V | logical “or” |
| ∈ | an element |
| ∉ | not an element |
| ⇒ | if then |
| ⇔ | if and only if |
| ∀ | for any, for all |
| ∃ | there exist |
| ∴ | therefore |
| ∑ | summation |
| ∩ | intersection |
| ⋃ | union |
| Ø | empty set, null set |
| CHARACTERISTICS OF THE LANGUAGE OF MATHEMATICS | 1. PRECISE 2. CONCISE 3. POWERFUL |
| PRECISE | able to make very fine distinctions |
| CONCISE | able to say things briefly |
| POWERFUL | able to express complete thoughts with relative ease |
| it is a correct arrangement of mathematical symbols used to represent a mathematical object of interest. It does NOT state a complete thought | MATHEMATICAL EXPRESSION |
| it is a correct arrangement of mathematical symbols that states a complete thought | MATHEMATICAL SENTENCE |
| is a fact, name, notation, or usage which is generally agreed upon by mathematics | Mathematical convention |
| 2 TYPES OF REASONING | 1. Inductive Reasoning 2. Deductive Reasoning |
| is the process of reaching a general conclusion by examining specific examples. | Inductive Reasoning |
| is the process of reaching a conclusion by applying general assumptions, procedures, or principles. | Deductive Reasoning |
| - inference formed without proof or sufficient evidence. used in inductive reasoning | Conjecture |
| A Problem Solving Strategy | POLYA’S 4 STEP METHOD |
| POLYA’S 4 STEP METHOD | 1. Understand the problem 2. Devise a plan 3. Carry out the plan 4. Look back & check |
Created by:
ah_jusyyy