MMW reviewer
Binary
consisting of two parts
Language
is the system of words, signs and symbols which people use to express ideas, thoughts and feelings .
Rule/Descriptive Method
This method uses set builder notation where x is used to represent any element of the given set
Mathematical logic
_____________is the study of reasoning in mathematics
Algebraic expressions
___________is a quantity which contains numbers and variables .
Math. Language
__________is the system used to communicate mathematical ideas
Polynomial
_________consist of terms
Transforming and manipulating
changing the mathematical form in which a problem is originally expressed to equivalent forms that represent solutions
Leonardo Pisano Bogollo
lived between 1170 and 1250 in Italy .
Context
refers to the particular topics being studied and its important to understand the context to understand mathematical symbols .
Mathematics
s the study of therelationships among numbers, quantitiesand shapes. helps organize patterns and regularities in the world.
Deductive reasoning
reaching conclusions based on previously know facts
Joseph Plateu
19 th century _________________examined soap films , leading him to formulate the concept of minimal surface .
Pendulum
A ____________ that is suspended twice as long as another ___________ does not simply have a period that is also twice as long but mathematics can explicate it .
Closed sentence
A___________, on the other hand, is a mathematical sentence is known to be either true or false .
Fibonacci Sequence
Also recognized as the Golden Ratio
Inferring
Applying derived results to the original problem situation, and inerpreting and generalizing the results in the light
Modeling and formulating
Creating appropiate representations to mathematize the orignal problem
George polya
Father of Modern Problem Solving
Plato, Pythagoras and Empedocles
Greek Philosophers studied patterns to explain order in nature which lead to the modern understanding of visible patterns
W. Garry Smith
He adopts eight patterns in his landscape work , namely : scattered, fractured, mosaic , naturalistic drift, serpentine, spiral , radial, and dendritic .
Interaction
In every____________, there is a pair of forces acting on the first object equals the size of the force on the second object
binary operation
Is a rule for combining two values to produce a new value.
Mathematics
It is a tool to quantify, organize, and control the world, predict phenomena, and make life easier for us .
1250
Leonardo Pisano Bogollo lived between 1170 and ____________in Italy
Communicating
Reporting what has been learned about a problem to a specified audience
Variable
The ________ , also called literal coefficient, represents the unknown and make use of letters .
Engineering Mathematics
The art of applying mathematics to complex real world problems is called
Symmetry
The fractal pattern in a Romanesco broccoli, spiral nautilus shell, etc.
D Arcy Thompson
They pioneered the study of growth patterns in both plants and animals .
Time and money
Within the broad concept of farming , there are two very important elements
Intuition
ability to understand something instictively, without the need for conscious reasoning
null set
always a subset of any given set and is considered an improper subset of the given set.
Symbols
are important in mathematical works
functions
are mathematical entities that give unique outputs to particular inputs. only relationshop for each input value
Mathematical proof
argument which convinces other people that something is true
Direct proof
can be used to establish that the sum of two even integers is always even
Highly Compact
conveying a lot information and ideas in very little space .
Focused
conveying important information for the current situation and ommiting the rest
Act it out strategy
effective strategy for demonstrate purposes and to have a better grip of the problem on hand
Roster/Tabular Method
elements in the given set are listed or enumerated, separated by a comma, inside a pair of braces
subset
every element of which can be found on a bigger set
Joseph Plateau
examined soap films , leading him to formulate the concept of minimal surface.
Ordinary speech
full of ambiguities innuendoes hidden agenda and unspoken cultural assumptions
Empty/Null/Void
has no element and is denoted by /0 or by a pair of braces with no element inside
Nature
has symmetries at every scale, from elementary particles and atoms right up to galaxies.
Joint set
have atleast one common element
Disjoint set
have no common element
Formality
is a relational concept: an expression can be more or less formal relative to another expression, entailing an ordering of expressions; yet, no expression can be absolutely formula or absolutely informal.
Convention
is a technique used by the mathematicians, engineers, scientists in which each particular symbol has a particular meaning
Free falling object
is an object that is falling under the sole influence of gravity .
Time
is everybody's most valuable asset
Numerical Coefficient
is the number with variable. Any single number is constant
Logic
is the science of formal principles of reasoning or correct inference.
Guess and check
one of the simpliest strategies
Ernst Haeckel
painted hundreds of marine organisms to emphasize their symmetry .
1.6
phi (Φ) which is approximately equal to
Alan Turing
predicted mechanisms of morphogenesis that give rise to patterns of spots and stripes .
premise
previous statement or proposition from which another is inferred or follows as a conclusion
Inductive reasoning
process of reaching conclusions based on a series of observation
Finite
set has countable number of elements
Equivalent
sets have the same number of elements
Orders
the regular cycles of days and nights, recurrence of seasons, alternate sunrise and sunset etc
Certainty
total continuity and validity of inquires to the highest degree of precision
Universal set
totality of all the elements of the sets under consideration denoted by U
Patterns
visible regularities found in the natural world
Sets
well defined collection of distinct objects.
phi
which is approximately equal to 1.618034