Mathematics in the Modern World

Question 1

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

Answer 1

Pattern

Question 2

What is Mathematics?

Answer 2

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

Question 3

[EXPECTED QUESTION FOR ORAL EXAM]

Give an example of pattern-seeking behavior of humans.

Answer 3

formulate own answer!

Question 4

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

Answer 4

Logic Patterns

Question 5

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

Answer 5

Number Patterns

Question 6

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

Answer 6

Geometric Patterns

Question 7

A kind of pattern that can be found in language.

Answer 7

Word Patterns

Question 8

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

Answer 8

Symmetry

Question 9

[EXPECTED QUESTION FOR ORAL EXAM]

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

Answer 9

formulate own answer!

Question 10

[EXPECTED QUESTION FOR ORAL EXAM]

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

Answer 10

formulate own answer!

Question 11

[EXPECTED QUESTION FOR ORAL EXAM]

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

Answer 11

formulate own answer!

Question 12

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

Answer 12

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

Question 13

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.

Answer 13

Golden Ratio

Question 14

The Golden Ratio is approximately equal to _____?

Answer 14

1.618

Question 15

[EXPECTED QUESTION FOR ORAL EXAM]

How do we use golden ration in real life?

Answer 15

formulate own answer!

Question 16

[EXPECTED QUESTION FOR ORAL EXAM]

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

Answer 16

formulate own answer!

Question 17

[EXPECTED QUESTION FOR ORAL EXAM]

Is Math discovered or invented?

Answer 17

formulate own answer!

Question 18

What are the four types of pattern?

Answer 18

Logic Patterns, Number Patterns, Geometric Patters, Word Patterns

Question 19

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

Answer 19

vocabulary, grammar, community of people, range of meaning

Question 20

The name given to a mathematical subject of interest.

Answer 20

Expression

Question 21

[EXPECTED QUESTION FOR ORAL EXAM]

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

Answer 21

formulate own answer!

Question 22

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

Answer 22

Proposition

Question 23

What do you call a self-contradictory proposition?

Answer 23

Paradox

Question 24

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

Answer 24

Simple Proposition

Question 25

It contains two or more simple propositions that are put together using connective words.

Answer 25

Compound Proposition

Question 26

What do you call words that make up a compound proposition?

Answer 26

Component Statements

Question 27

Which type of compound composition uses the connective word AND?

Answer 27

Conjunction

Question 28

Differentiate inclusive disjunction from exclusive disjunction.

Answer 28

In inclusive, at least one of the two propositions is true. In exclusive, EXACTLY one but not both propositions is true.

Question 29

Which type of compound composition uses the connective word IF and THEN?

Answer 29

Conditional

Question 30

Which type of compound composition uses the connective word IF and ONLY IF?

Answer 30

Biconditional

Question 31

Which type of compound composition uses the connective word NOT?

Answer 31

Negation.