Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

mmw (sir jp) > ch1: the nature of mathematics > Flashcards

ch1: the nature of mathematics Flashcards

1
Q

Mathematics is a valuable tool for?

A

Mathematics is a valuable tool for exploring nature and our surroundings.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

The study of ____________________________________ is a natural extension of mathematics.

A

patterns in nature and the environment

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Mathematics may be observed in almost every situation and is used to explain the?

A

Mathematics may be observed in almost every situation and is used to explain the most frequent phenomena

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

The history and usefulness of patterns and numbers can be traced back to the origins of?

A

MATHEMATICS

It is concerned with human-created thoughts and ideas that were transformed into products. They were
created to connect the meaning of a pattern to the perception of counting, sequence, and regularities.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

There is a link between these two. When there is one, the other occurs.

A

There is a link between patterns and counting. When there is a pattern, counting occurs.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

There is ________________ when there is counting. As a result, in nature, pattern corresponds to?

A

There is reasoning when there is counting. As a result, in nature, pattern corresponds to logic or logical arrangement.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

A ____________ pattern has its own set of characteristics.

A

A specific pattern has its own set of characteristics.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

most people believe that mathematics is the study of?

A

patterns

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Mathematics, may be found everywhere.

(true or false)

A

true

Mathematics, like patterns in nature, may be found everywhere.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Patterns come in a singular form.

(true or false)

A

false

Patterns come in a variety of shapes and sizes.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Patterns, on the other hand, are more wider and more prevalent wherever and at any time

(true or false)

A

true

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

These type of patterns, such as 2, 4, 6, and 8, are recognizable to us since they are among the first patterns we learn when we are young.

A

Number patterns

These type of patterns, such as 2, 4, 6, and 8, are recognizable to us since they are among the first patterns we learn when we are young. We gain experience both within and outside of school as we progress. Patterns, on the other hand, are more wider and more prevalent wherever and at any time.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Patterns can be?

(enumerate)

A

Patterns can be:
- sequential,
- spatial,
- temporal, and even
- linguistic.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Patterns can be sequential, spatial, temporal, and even linguistic. All these phenomena create a repetition of names or events called?

A

regularity

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

the following are examples of what?
- Dates in the Calendar
- Days in a Calendar
- Months in a Year
- Regular Holidays

A

regularity

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

this is when same things happen in the same circumstances.

A

Regularity

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

this is a regularity in the world or man-made design.

A

Pattern

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

these are visible regularities found in the natural world.

A

Pattern in Nature or Natural Pattern

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Pattern is a regularity in the world or a?

A

man-made design

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Pattern in Nature or Natural Pattern are ____________ regularities found in the_________________.

A

Pattern in Nature or Natural Pattern are visible regularities found in the natural world.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Patterns are repeated design or?

A

recurring sequence.

22
Q

It is also an ordered set of numbers, shapes or other mathematical objects that arranged according to a rule.

A

Patterns

23
Q

Patterns is also an ordered set of ________________, ____________ or other ________________________ that arranged according to a ________.

A

Patterns is also an ordered set of numbers, shapes or other mathematical objects that arranged according to a rule.

24
Q

One of the most intriguing things we see in nature is patterns.

(true or false)

A

true

25
Q

We tend to think of patterns as sequences or designs that are somewhat disorganized and that are repeat object.

(true or false)

A

false

We tend to think of patterns as sequences or designs that are orderly and that are repeat object.

26
Q

We recognize the spots on a giraffe as a pattern, because they are the same shape and size, regular, and orderly.

(true or false)

A

false

We recognize the spots on a giraffe as a pattern, but they are not regular nor are any of the spots the same size or shape.

27
Q

Types of Patterns

(enumerate)

A
  1. Symmetry
  2. Spiral
  3. Meander
  4. Waves or Riffles
  5. Foams or Bubbles
  6. Tessellation
  7. Fractures or Cracks
  8. Stripes and Spots
  9. Fractals
28
Q

it refers to a sense of harmonious and beautiful proportion and balance.

A

Symmetry

29
Q

a curve which emanates from a point, moving farther away as it revolves around the point.

A

Spiral

30
Q

one of a series of regular sinuous curves, bends, loops, turns, or winding in the channel of rivers, streams, or other water course.

A

Meander

31
Q

a disturbance that transfer energy through matter or space, with little or no mass transport.

A

Waves or Riffles

32
Q

a substance formed by trapping pockets of gas in a liquid or solid.

A

Foams or Bubbles

33
Q

tilling of plane using one or more geometric shapes, called the tiles, with no overlaps and no gaps.

A

Tessellation

34
Q

are patterns that are formed by repeated cubes or tiles.

A

Tessellation

35
Q

separations of an object or material into two or more pieces under the action of stress.

A

Fractures or Cracks

36
Q

series of bands or strips and spots, often of the same width and color along the length.

A

Stripes and Spots

37
Q

a never-ending pattern. Infinitely complex pattern that are self-similar across different scales.

A

Fractals

38
Q

Uses of Mathematics

(enumerate)

A
  • Technology: navigation, prediction
  • Engineering: construction, robotics
  • Media: music, movie, election
  • Medicine and Health: pharmacy, surgery
  • Finance and Business: banking, gambling
39
Q

Fibonacci was introduced in?

A

“Book of Counting”

40
Q

begins with 0 and 1, adding the last two numbers: 0, 1, 2, 3 … (petals).

A

Fibonacci

41
Q

The Golden ratio is also called?

A
  • Golden Part, or
  • Golden Proportion, or
  • Divine Proportion
42
Q

The Golden ratio is generally denoted by the?

A

Greek letter Phi (φ), in lower case,

43
Q

The Golden ratio represents an?

A

represents an irrational number 1.6180339887…,

44
Q

What was said about “Phi?”

A

It is said that Phi is the initial letters of Phidias’ name adopted to designate the golden ratio

45
Q

set of all numbers in special orders

A

Sequence

46
Q

number of(/in) a sequence

A

Terms

47
Q

sum of terms

A

Series

48
Q

has first and last terms

A

Finite Sequence

49
Q

has first term but no last term

A

Infinite Sequence

50
Q

this is when a term is obtained by adding d to the next term

A

Arithmetic sequence

mmw (sir jp) (7 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions