MMW HANDOUT 1

Question 1

4 DEFINITION OF MATHEMATICS

Answer 1

a. Mathematics is the science of quantity.
Aristotle (384 – 322 BCE)
b. Mathematics is the science of indirect measurement.
Auguste Comte (1798 – 1857)
c. Mathematics is a science that draws necessary conclusions.
Benjamin Pierce (1809 – 1880)
d. All mathematics is symbolic logic.
Bertrand Russel (1872 – 1970)

Question 2

5 NATURE OF MATHEMATICS

Answer 2

1. Mathematics is a study of patterns and relationships.
2. Mathematics is a way of thinking.
3. Mathematics is an art.
4. Mathematics is a language.
5. Mathematics is a tool.

Question 3

5 GOALS OF MATHEMATICS

Answer 3

1. Value mathematics
2. Reason mathematically
3. Communicate mathematics
4. Solve problems
5. Develop confidence

Question 4

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

Answer 4

SYMMETRY

Question 5

two main types of
symmetry

Answer 5

1. Bilateral Symmetry
2. Radial Symmetry/ Rotational Symmetry

Question 6

is a curve or geometric figure, each part of which has the same statistical character as the whole. A fractal is a never-
ending pattern found in nature.

Answer 6

FRACTALS

Question 7

The exact same shape is
replicated in a process called ________

Answer 7

SELF-SIMILARITY

Question 8

a feathery snow crystal nucleated from dust
particles suspended in the atmosphere.
Ex: Snowflakes

Answer 8

snowflake

Question 9

A logarithmic spiral or growth spiral is a self-similar spiral curve
that often appears in nature. It was first described by René
Descartes and was later investigated by Jacob Bernoulli.

Answer 9

SPIRAL

Question 10

a series of numbers where a number
is found by adding up the two numbers before it. Starting with 0 and 1, the sequence goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so
forth.

Answer 10

Fibonacci sequence

Question 11

Named after Fibonacci, also known as_________.

Answer 11

Leonardo of Pisa or
Leonardo Pisano