Mathematical Language and Symbols Flashcards

1
Q

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

A

easy -> difficult

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2
Q

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

A

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

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3
Q

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

A

True

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4
Q

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

A

True

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5
Q

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

A

Animals -> Human beings

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6
Q

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

A

expressions -> ideas

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7
Q

What are the three characteristics of mathematical language?

A

Precise, Concise, Powerful

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8
Q

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

A

Precise

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9
Q

This characteristic is to be able to say things briefly

A

Concise

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10
Q

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

A

Powerful

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11
Q

Student number is in what characteristic of mathematical language?

A

Precise

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12
Q

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

A

Concise

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13
Q

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?

A

Concise

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14
Q

The ten digits of Hindu-Arabic numerals

A

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

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15
Q

Symbols for operations:

A

+, -, x, /

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16
Q

Symbols that represent values

A

x, y, z, w, etc.

17
Q

Other special symbols:

A

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

18
Q

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

A

mathematical expression

19
Q

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.

A

expression -> object of interest

20
Q

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

A

mathematical sentence

21
Q

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

A

expressions -> symbols

22
Q

“3+4” is an example of a

A

mathematical expression

23
Q

“3+4 = 7” is an example of a

A

mathematical sentence

24
Q

Mathematical sentences have verbs (True or False?)

A

True

25
Q

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

A

=

26
Q

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

A

Connective

27
Q

What is equivalent to noun in mathematical sentence?

A

expression

28
Q

What is equivalent to verbs in mathematical sentence?

A

operations and other actions

29
Q

An element that has different names for the same object

A

synonyms

30
Q

this element tells us that sentences can be true or false

A

the importance of truth

31
Q

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

A

conventions

32
Q

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

A

definitions and undefined terms

33
Q

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

A

simplicity and elegance

34
Q

“and” is equivalent to:

A

plus

35
Q

what are the different uses of a number:

A

cardinal, ordinal, nominal

36
Q

this number is to express quantity

A

cardinal

37
Q

this number is to indicate the order

A

ordinal

38
Q

this number is to indicate as a label

A

nominal

39
Q

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

A

sets and functions