Chapter 2 Flashcards
System of words, signs, and symbols
Language
System used to communicate mathematical ideas
Mathematical language
Creating appropriate representation & relationship
Modelling & formulating
Changing the mathematical form
Transforming & manipulating
Interpreting & generalizing
Inferring
Reporting what has been learned
Communicating
Characteristics of mathematical language
1 is non-temporal
2 is devoid of emotional content
3 is precise
Major contributor to overall comprehension
Vocabulary understanding
Consist of terms
Mathematical expression
Used to represent numbers
Variable
Represent the unknown
Literal coefficient
Any single number
Constant
Combines 2 mathematical expressions
Mathematical sentence
Not known if the mathematical sentence is true or false
Open sentence
known if the mathematical sentence is true or false
Closed sentence
Refers to the particular topics being studied
Context
Each particular symbol has particular meaning
Convention
Well defined collection of distinct object
Set
Sets that are listed or enumerated
Roster/tabular method
Sets are defined
Rule/descriptive method
Has no element
Empty/null/void set
Has countable number of elements
Finite set
Has uncountable number of elements
Infinite set
Totality of all elements
Universal set
Have same elements
Equal set
Has same number of elements
Equivalent set
At least one common element
Joint set
Has no common element
Disjoint set
Set every element of which can be found on a bigger set
Subset
The first set equals the second set
Improper subset
Whose elements are found in both sets
Union set
Whose element are common to both sets
Intersection set
Who is elements are found in the first set, but not in the second set
Difference set
Who elements are found in the universal set but not in a specific set
Complement set
Are mathematical entities that give unique outputs to particular input
Function
Three most important parts of function
Input
Relationship
Output
Operation of function
Sum
Difference
Product
Quotient
Means consisting of 2 parts
Binary
Means that it belongs to a number system with the base two and not base 10
Binary
Made up of only zeros and ones
Binary number
