Lesson 1 Flashcards
_________ is the system of words , signs and symbols which people use to express ideas , thoughts and feelings . It consists of the words , their pronunciation and the methods of combining them to be understood by a community
Language
_______________ is the system used to communicate mathematical ideas.
Mathematical language
_____________ relies on both logic and creativity, and it is pursued both for a variety of practical and for its intrinsic interest ( measurements ).
Mathematics
_____________ it is precise form of expression, it is not possible to misinterpret what math has to say, if you know the what rules define.
Mathematics
_____________ has called mathematics a “____________ “, which ties in with the ideas of beauty, abstraction and the search for unity.
Keith Devlin, “Science of patterns”
Keith Devlin also said that
“_____________________________”, referring representation, modeling and application of mathematics. For example, drawing a bar graph makes statistical information visible.
“mathematics makes invisible visible”
What is the five universal way of math to communicate in this world?
Symbols, Sign, Proof, language, Convention
These patterns recur in different contexts and are modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders ( twist or zigzag ), arrays, cracks and stripes.
Pattern in nature
Give at least 5 Natural Patterns
Spiral, mosaic, Symmetries, stripe Dots
Greek __________ was a student of Socrates and a teacher of Aristotle.
philosopher Plato
He said “I would teach children music, physics and philosophy; but most and importantly music for the patterns in music and all the arts are keys to learning”
- ______
-Plato
________ was a Greek scholar and philosopher. Known as the “Father of numbers” and he is best known in _______________.
Pythagoras, Pythagorean Theorem
He said “There is geometry in the humming of the strings, there is music in the spacing of the spheres.” -_________
Pythagoras
______________ , was a Belgian physicist, most notable for noticing the illusion of a moving image and his experiment about surface tension.
He examined soap films, leading him to formulate the concept of a minimal surface.
Joseph Plateau
______________, He painted hundreds of marine organisms to emphasize their symmetry.
Ernst Haeckel
_____________ pioneered the study of growth patterns in both plants and animals, showing that simple equations could explain spiral growth.
D’Arcy Thompson
A ______ is a never-ending pattern. It is a infinitely complex patterns that are self -similar across different scales.
fractal
Leonardo Pisano Bigollo helped spread Hindu Arabic numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, and * 9) through Europe in place of Roman numerals which is part of the sequence, which he developed . The _________________was recognized as the Golden Ratio or “Golden Spiral”.
Fibonacci Sequence
________ - constitutes a set of numbers or objects in which all the members are related with each other by a specific rule. It is also known as sequence. There can be finite or infinite number of members in it.
Pattern
_________ - constitutes between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set , then the objects are said to be related if the ordered pair (x, y) is in it.
Relation
_________ - is a type of relation. But, a relation is allowed to have the object x in the first set to be related to more than one object in the second set.
Function
___________ is an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.
Regularities
__________________- the period of time it takes to swing back to its original position is related to its length, but the relationship is not linear.
Motion of Pendulum
__________ - the image that is exactly the same size as the object and is far behind the mirror as the object is distant from the mirror.
Reflectionin the mirror plane
__________ - Any object that is moving and being acted upon only be the force of gravity is said to be in a state of free fall.
Free Falling Object
________ - In every interaction , there is a pair of forces acting on the two interacting objects.
Action-Reaction
_____________ - plays such a central role in modern culture, some basic understanding of the nature of it is requisites for scientific literacy.
Mathematics
He said that “mathematics makes invisible visible”?
Keith devlin
___________ helped spread Hindu Arabic numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, and * 9) through Europe in place of Roman numerals which is part of the sequence, which he developed .
Leonardo Pisano
___________ helped spread Hindu Arabic numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, and * 9) through Europe in place of Roman numerals which is part of the sequence, which he developed .
Leonardo Pisano Bigollo
___________ helped spread Hindu Arabic numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, and * 9) through Europe in place of Roman numerals which is part of the sequence, which he developed .
Leonardo Pisano Bigollo
