MATHEMATICS TOPIC 2

Language

is the system of words signs and symbols which people use to express ideas thoughts and feelings.

Mathematical Language

is the system used to communicate mathematical ideas

Language of mathematics

this is more precise than any other language one may think of.

Kenny, Hancewics, Heuer, Metsisto and Tuttle(2005

According to them, there are four main action.

Modeling and Formulating

creating appropriate representation to mathematize the original problem.

Transforming and Manipulating

changing the mathematical form in which a problem as originally expressed two equivalent forms that represent solutions

Inferring

applying derived results to the original problem situations,and interpreting and generalizing the results in the light.

Communicating

reporting what has been learned about the problem to specified audience

Problem

Specify the problem

Formulation

make assumptions
shoose variable
formulate math
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Mathematical Solution

Solve math problem

Interpretation

interpret solution
be critical of solution

Mathematics

this is about relationships, quantities, measurements, reasoning and so on.

3 important ways according to Jamison (2000)

-Mathematical language is non temporal there is no past present or future in mathematics.
-Mathematical Language is devoid of emotional content
Mathematical Language is precise

ordinary speech

a full of ambiguities, innuendoes, hidden agenda and unspoken cultural assumption.

Advantage of Mathematical Notation

Highly Compact - conveying a lot information and ideas is very little space.

Focused- conveying important information for the current situation and commiting the rest.
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Addition, Subtraction, Multiplication and Division

this are the operation that can make up a mathematical expression.

Addition

Plus, the sum of, increased by, total, added to.

Subtraction

Minus, the difference of, decreased by, subtracted by.

Multiplication

multiplied by, the product of, times of

Division

divided by, the quotient of, per

Mathematics Expression

this is consist of terms and seperated form other terms with either plus or minus signs

Algebraic Expression

this is the quality which contains numbers and variables.

Variable

this is also called literal coefficient that represent to unknown and make use of letters

Numerical Coefficient

this is the number with variable. Any single number is constant.

Monomial

this is 1 term

Binomial

this is 2 term

Trinomial

This is 3 terms

Polynomial

this is more than 2 terms

Mathematical Sentence

this combines two mathematical expression using a comparison operator
Ex: equal,not equal,greater than, greater than or equal to,less than or equal to.

Open Sentence

in matt means that uses variables, meaning that is not known wether or not the mathematical sentence is true or false

Closed Sentence

on the other hand is a mathematical sentence is known to be either true of false

Symbol

this is the important in mathematical works. It is before necessary to understand how vital it is to be precise about this.

Context

refers to the particular topics being studied and it's important understand this to understand mathematical symbol.

Convention

this is the technique used by mathematicians, engineers, scientist in which each particular symbol has particular meaning.

Greek letters

Pi, alpha, beta, theta and sigma

Alpha, Beta, theta

this is represents angels

Sigma

this is represents summation.

Sets, Function, Binary Operation

this are the four basic Concept

Sets

this is a well defined collection of distinct objects.