Studied by 2 people
What is Math?
Who said “The laws of nature are but the mathematical thoughts of God."
Euclid
Who affirmed, stating that “Mathematics is the language in which God has written the Universe.”
Galileo Galilei
which means “to learn”
manthanein
Greek root word for Math
Ancient Greek language, means what one learns or what one gets to know
máthēma
“knowledge, study, learning”
máthēma
mathematique
Old French term for “mathematics”
Latin term for “mathematics”
mathēmatica
Two Ancient Greek terms
“fond of learning
”mathēmatikós, or mathemata
Is a science of:
Calculation
Numbers and space
measurement, quantity and magnitude
Mathematics
It constitutes a body of established facts, achieved by a reliable method, verified by practice, and agreed on by a consensus of qualified experts
Mathematics
Is a science because:
the development of all types of formal deductive reasoning
Mathematics
Old standard dictionary definition is “the study of the properties of numbers and geometrical figures.”
Mathematics
True or False:
Today, mathematics includes abstract algebra, logic, and probability, none of which is part of traditional arithmetic or geometry.
True
Who said:
A desire for a particular kind of knowing; knowing that is self-contained on the individual or may be seen as an autonomous thinking
(Schaaf, 1963)
A desire for a particular kind of knowing;
Mathematics
knowing that is self-contained in the individual or may be seen as autonomous thinking
Mathematics
The science of numbers and their operations, interrelations, combinations, generalizations, and abstractions, and of space configurations of their structure, measurement, transformations, and generalizations.
Mathematics
study of patterns and relations
Mathematics
“Way of thinking”
Math
An art characterized by order and internal consistency.
Mathematics
Math is a language that uses carefully defined terms and symbols. Thus, mathematics is a tool.
True
“Science of patterns”
“the science of order, patterns, structure, and logical relationships”
Mathematics
“Approximation”
Calculate
Cum
“With”
Putare
“reason, thinking”
What is Compute?
With reason
The ultimate goal of calculating and computing.
Decision making
T of F: There are five characteristics of Math.
t
What are the 5 characteristics of Math?
Precision, Definition, Reasoning, Coherence, Purposefulness
It is precise in the sense that mathematical statements are clear and unambiguous. It is clear what is known and what is not known
Precision
Abound in mathematics. It is the bedrock of mathematical structure and the platform that supports reasoning
Definitions
Is the lifeblood of mathematics. It is the engine that drives proving and problem-solving. Its absence is the root cause of the learning-by-rote approach
Reasoning
Concepts and skills are interwoven in mathematics
Coherence
Mathematics is goal-oriented, and for every concept or skill there is a purpose for it
Purposefulness
There are 9 mathematics as a tool. What are those?
Data management
Geometric Designs
Codes
Linear Programming
The Mathematics of Finance
Apportionment and Voting
Logic
The Mathematics of Graphs
Mathematical System
What is Mathematics for? Give three.
Helps unravel the puzzles of nature.
Helps organize patterns and regularities as well as irregularities in the world.
Helps predict the behavior of nature and phenomena.
Helps control nature and occurrences such as epidemics.
Provides tools for calculations.
Provides new questions to think about.
Who uses Math?
Everyone
Who stated that mathematics is a formal system of thought that was gradually developed in the human mind and evolved in the human culture.
Stewart
It is a formal system of thought that was gradually developed in the human mind and evolved in human culture
mathematics
True of false: Schools of thought realize the existence of “figure” to which they gave meaning to it.
False, “form” not figure
What is the essence of Math according to Des Cartes?
“I think … therefore I am”
What ar ethe two kinds of Math that Mathematicians uses?
Pure and applied
What are the two sciences that scientists uses but is applied to Mathematics?
natural and social
True of false: different people use different mathematics at different times for different purposes using different tools
True
Give thre reasons why is Mathematics important to know?
It puts order in disorder
It helps us to become a better person’
It helps make the world a better place to live in
