Mathematical Language and Symbols Flashcards
Modified True or False: A simple thought is easy to comprehend if presented in a language that you do not understand.
easy -> difficult
Modified True or False: A simple thought is difficult to comprehend if presented in a medium that you do understand
medium that you do understand -> language that you do not understand
Modified True or False: Similarly, people frequently have trouble understanding mathematical ideas
True
Modified True or False: Mathematics is also a special kind of language.
True
Modified True or False: Mathematics is a universal language shared by all animals regardless of race, gender or culture.
Animals -> Human beings
Modified True or False: Similarly, people frequently have trouble understanding mathematical expressions, not necessarily because the ideas are difficult but because they are being presented in a foreign language – the language of mathematics
expressions -> ideas
What are the three characteristics of mathematical language?
Precise, Concise, Powerful
This characteristic is to be able to make very fine distinctions.
Precise
This characteristic is to be able to say things briefly
Concise
This characteristic is to be able to express complex thoughts with relative ease
Powerful
Student number is in what characteristic of mathematical language?
Precise
A straight line be cut at random is in what characteristic of mathematical language?
Concise
The square on the whole is equal to the squares on the segments and twice the rectangle contained by the segments is in what characteristic of mathematical language?
Concise
The ten digits of Hindu-Arabic numerals
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Symbols for operations:
+, -, x, /
Symbols that represent values
x, y, z, w, etc.
Other special symbols:
=, , <=, >=, %, pi, e, etc.
I the mathematical analogue of an English noun; it is a correct arrangement of mathematical symbols used to represent a mathematical object of interest.
mathematical expression
Modified True or False: An mathematical expression is the mathematical analogue of an English noun; it is a correct arrangement of mathematical symbols used to represent a mathematical expression.
expression -> object of interest
is the analogue of an English sentence; it is a correct arrangement of mathematical symbols that expresses a complete thought.
mathematical sentence
Modified True or False: is the analogue of an English sentence; it is a correct arangement of mathematical expressions that expresses a complete thought
expressions -> symbols
“3+4” is an example of a
mathematical expression
“3+4 = 7” is an example of a
mathematical sentence
Mathematical sentences have verbs (True or False?)
True
What is the verb of this mathematical sentence: 3+4 = 7
=
On the mathematical sentence 3 + 4 = 7, what is +?
Connective
What is equivalent to noun in mathematical sentence?
expression
What is equivalent to verbs in mathematical sentence?
operations and other actions
An element that has different names for the same object
synonyms
this element tells us that sentences can be true or false
the importance of truth
this element has the correspondence between the mathematical symbols (are conventions rather than rule)
conventions
this element is used in order to communicate effectively that people must agree on the meanings of certain words and phrases
definitions and undefined terms
What is missing: synonyms, the importance of truth, conventions, definitions and undefined terms, __________
simplicity and elegance
“and” is equivalent to:
plus
what are the different uses of a number:
cardinal, ordinal, nominal
this number is to express quantity
cardinal
this number is to indicate the order
ordinal
this number is to indicate as a label
nominal
Mathematical objects may be represented in many ways. For example:
sets and functions
