Mathematics in the Modern World Flashcards

1
Q

What is an arrangement that helps observers anticipate what they might see or what happens next?

A

Pattern

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2
Q

What is Mathematics?

A

Any of the following:
- the study of numbers and arithmetic operations
- set of tools that can be applied to the question of “how many” or “how much”
- a study pattern
- a language
- a process of thinking
- a set of problem solving tools
- an art

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3
Q

[EXPECTED QUESTION FOR ORAL EXAM]

Give an example of pattern-seeking behavior of humans.

A

formulate own answer!

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4
Q

A kind of pattern that deals with characteristics of various objects and its order.

A

Logic Patterns

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5
Q

One of the first patterns that students encounter in school. An example of this is the sequence 2, 4, 6, 8…

A

Number Patterns

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6
Q

A kind of pattern that depicts abstract shapes like lines, polygons, and circles, and typically repeats like a wallpaper.

A

Geometric Patterns

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7
Q

A kind of pattern that can be found in language.

A

Word Patterns

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8
Q

It indicates that you can draw an imaginary line across an object and resulting parts are mirror images of each other.

A

Symmetry

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9
Q

[EXPECTED QUESTION FOR ORAL EXAM]

Give an example of three fold symmetry other than the one already given in the module (spiderwort).

A

formulate own answer!

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10
Q

[EXPECTED QUESTION FOR ORAL EXAM]

Give an example of five fold symmetry other than the one already given in the module (starfish).

A

formulate own answer!

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11
Q

[EXPECTED QUESTION FOR ORAL EXAM]

Give an example of six fold symmetry other than the one already given in the module (snowflake).

A

formulate own answer!

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12
Q

Give an example of Fibonacci sequence that is visible in nature.

A

Any of the following: sunflower seeds, pinecone, number of petals in a flower, the shape of snail’s shell

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13
Q

It can be expressed as the ratio between two numbers, if the latter is also a ratio between the sum and the larger of the two numbers.

A

Golden Ratio

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14
Q

The Golden Ratio is approximately equal to _____?

A

1.618

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15
Q

[EXPECTED QUESTION FOR ORAL EXAM]

How do we use golden ration in real life?

A

formulate own answer!

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16
Q

[EXPECTED QUESTION FOR ORAL EXAM]

What is Math for you/How do you view Math?

A

formulate own answer!

17
Q

[EXPECTED QUESTION FOR ORAL EXAM]

Is Math discovered or invented?

A

formulate own answer!

18
Q

What are the four types of pattern?

A

Logic Patterns, Number Patterns, Geometric Patters, Word Patterns

19
Q

In order to for a language to be considered as a language, it needs to have 4 components. What are these?

A

vocabulary, grammar, community of people, range of meaning

20
Q

The name given to a mathematical subject of interest.

A

Expression

21
Q

[EXPECTED QUESTION FOR ORAL EXAM]

Pick one of the three characteristics of the Mathematics Language (precise, concise, and powerful) and explain it.

A

formulate own answer!

22
Q

A declarative sentence that can be classified as true or false, but not both.

A

Proposition

23
Q

What do you call a self-contradictory proposition?

24
Q

A type of proposition that conveys one thought with no connecting words.

A

Simple Proposition

25
It contains two or more simple propositions that are put together using connective words.
Compound Proposition
26
What do you call words that make up a compound proposition?
Component Statements
27
Which type of compound composition uses the connective word AND?
Conjunction
28
Differentiate inclusive disjunction from exclusive disjunction.
In inclusive, at least one of the two propositions is true. In exclusive, EXACTLY one but not both propositions is true.
29
Which type of compound composition uses the connective word IF and THEN?
Conditional
30
Which type of compound composition uses the connective word IF and ONLY IF?
Biconditional
31
Which type of compound composition uses the connective word NOT?
Negation.