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