The Nature of Mathematics

Question 1

fundamental to the physical and biological sciences, engineering and information technology, to economics and increasingly to the social sciences.

Answer 1

mathematics

Question 2

useful way to think about nature and our world

Answer 2

mathematics

Question 3

tool to quantify, organize and control our world, predict phenomena and make life easier for us

Answer 3

mathematics

Question 4

where is mathematics?

Answer 4

many patterns

occurrences exist in nature, the world, and life

Question 5

what helps make sense of these patterns and occurrences

Answer 5

mathematics

Question 6

helps organize patterns and regularities in our world?

Answer 6

mathematics roles

Question 7

helps predict the behavior of nature and phenomena in the world

Answer 7

mathematics roles

Question 8

has numerous applications in the world making it indispensable

Answer 8

mathematics roles

Question 9

are regular, repeated, or recurring forms or designs

Answer 9

patterns

Question 10

studying it helps us identify relationships and find local connections to form generalizations and make predictions

Answer 10

patterns

Question 11

patterns that can be seen in nature

Answer 11

1, fish

2. mammals
3. oceans, sand dunes, air, formation of typhoon

Question 12

a sense of harmonious and beautiful proportion of balance or an object is invariant to any various transformations (reflections, rotations or scaling)

Answer 12

symmetry

Question 13

two types of symmetry

Answer 13

1. bilateral symmetry

2 radial symmetry or rotational symmetry

Question 14

symmetry in which the left and the right sides of the organism can be divided into approximately mirror images of each other along the midline

Answer 14

bilateral symmetry

Question 15

symmetry around a fixed point known as the center and it can be classified as either cyclic or dihedral

Answer 15

radial symmetry or rotational symmetry

Question 16

3 types of pattern

Answer 16

1. symmetry
2. fractals
3. spirals

Question 17

also known as spirals

Answer 17

logarithmic spiral or growth spiral

Question 18

who was the one who first described spirals?

Answer 18

Rene Descartes

Question 19

Who later investigated the Spirals?

Answer 19

Jacob Bernoulli

Question 20

the curved pattern that focuses on the center point and a series of circular shapes that revolve around it

Answer 20

spirals

Question 21

curve or geometric figure, each part of which has the same statistical character as the whole

Answer 21

fractals

Question 22

never-ending pattern found in nature

Answer 22

fractals

Question 23

the exact same shape is replicated in a process called?

Answer 23

self-similarity