Mathematical Language and Symbols

Question 1

Modified True or False: A simple thought is easy to comprehend if presented in a language that you do not understand.

Answer 1

easy -> difficult

Question 2

Modified True or False: A simple thought is difficult to comprehend if presented in a medium that you do understand

Answer 2

medium that you do understand -> language that you do not understand

Question 3

Modified True or False: Similarly, people frequently have trouble understanding mathematical ideas

Answer 3

True

Question 4

Modified True or False: Mathematics is also a special kind of language.

Answer 4

True

Question 5

Modified True or False: Mathematics is a universal language shared by all animals regardless of race, gender or culture.

Answer 5

Animals -> Human beings

Question 6

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

Answer 6

expressions -> ideas

Question 7

What are the three characteristics of mathematical language?

Answer 7

Precise, Concise, Powerful

Question 8

This characteristic is to be able to make very fine distinctions.

Answer 8

Precise

Question 9

This characteristic is to be able to say things briefly

Answer 9

Concise

Question 10

This characteristic is to be able to express complex thoughts with relative ease

Answer 10

Powerful

Question 11

Student number is in what characteristic of mathematical language?

Answer 11

Precise

Question 12

A straight line be cut at random is in what characteristic of mathematical language?

Answer 12

Concise

Question 13

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?

Answer 13

Concise

Question 14

The ten digits of Hindu-Arabic numerals

Answer 14

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Question 15

Symbols for operations:

Answer 15

+, -, x, /

Question 16

Symbols that represent values

Answer 16

x, y, z, w, etc.

Question 17

Other special symbols:

Answer 17

=, , <=, >=, %, pi, e, etc.

Question 18

I the mathematical analogue of an English noun; it is a correct arrangement of mathematical symbols used to represent a mathematical object of interest.

Answer 18

mathematical expression

Question 19

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.

Answer 19

expression -> object of interest

Question 20

is the analogue of an English sentence; it is a correct arrangement of mathematical symbols that expresses a complete thought.

Answer 20

mathematical sentence

Question 21

Modified True or False: is the analogue of an English sentence; it is a correct arangement of mathematical expressions that expresses a complete thought

Answer 21

expressions -> symbols

Question 22

“3+4” is an example of a

Answer 22

mathematical expression

Question 23

“3+4 = 7” is an example of a

Answer 23

mathematical sentence

Question 24

Mathematical sentences have verbs (True or False?)

Answer 24

True

Question 25

What is the verb of this mathematical sentence: 3+4 = 7

Answer 25

=

Question 26

On the mathematical sentence 3 + 4 = 7, what is +?

Answer 26

Connective

Question 27

What is equivalent to noun in mathematical sentence?

Answer 27

expression

Question 28

What is equivalent to verbs in mathematical sentence?

Answer 28

operations and other actions

Question 29

An element that has different names for the same object

Answer 29

synonyms

Question 30

this element tells us that sentences can be true or false

Answer 30

the importance of truth

Question 31

this element has the correspondence between the mathematical symbols (are conventions rather than rule)

Answer 31

conventions

Question 32

this element is used in order to communicate effectively that people must agree on the meanings of certain words and phrases

Answer 32

definitions and undefined terms

Question 33

What is missing: synonyms, the importance of truth, conventions, definitions and undefined terms, __________

Answer 33

simplicity and elegance

Question 34

"and" is equivalent to:

Answer 34

plus

Question 35

what are the different uses of a number:

Answer 35

cardinal, ordinal, nominal

Question 36

this number is to express quantity

Answer 36

cardinal

Question 37

this number is to indicate the order

Answer 37

ordinal

Question 38

this number is to indicate as a label

Answer 38

nominal

Question 39

Mathematical objects may be represented in many ways. For example:

Answer 39

sets and functions