Nature, scope and the characteristics of mathematics

1. EDU 04.7:- THEROTICAL BASE OF MATHEMATICS
EDUCATION.
TOPIC:- NATURE , SCOPE AND CHARACTERISTICS OF
MATHEMATICS

2. NATURE , SCOPE AND
CHARACTERISTICS OF
MATHEMATICS

3. MATHEMATICS
DERIVED FROM TWO GREEK WORDS
ETYMOLOGY.
Manthanein
MEANS
“LEARNING
”
Techne
MEANS
“ART OR
TECHNIQU
E”
Hence,
Mathematics Means the Art of Learning

4. Mathematics : “It is the
science of numbers and
space”
Or
“The science
Of Measurements, Quantity,
and Magnitude.
Dictionary meaning of
mathematics
Mathematics: in words of
different authors
• “Mathematics is the
queen of science”
by, C F Guess
• “Mathematics is the gate
way and key to all
science”
by, F Bacon
• “Mathematics is the
study of quantity”
by, Aristotle

5. Nature of mathematics.
• MATHEMATICS IS A SCIENCE OF DISCOVERY.
 Mathematics give an easy and early opportunity to make
independent discoveries.
 It is the discovery of relationships and the expression of those
relationships in symbolic form - in words, in numbers, in letters , by
graphs ( E.E Biggs)
 “ Every child should experience the joy of discovery” (A.N
Whitehead)
• MATHEMATICS IS AN INTELLECTUAL GAME.
 Mathematics can be treated as an intellectual game with its own rules
and without any relation to external criteria. From this view point ,
mathematics is mainly a matter of puzzle, problem solving – its sort of
healthy mental exercise.
• MATHEMATICS IS A TOOL SUBJECT
 Mathematics is applied in the field of Engineering, Theoretical, Applied
physics, Astronomy, Aeronautics, Architecture, and Geology etc...

6. • MATHEMATICS DEALS WITH ART OF DRAWING CONCLUSIONS.
 In mathematics the conclusions are certain and definite. Therefore
the learner can Check the correct solutions.
• MATHEMATICS HAS ITS OWN LANGUAGE AND SYMBOLS
 The language for communication of mathematical ideas is
largely in terms of symbols and words which everybody cannot
understand.
• MATHEMATICS INVOLVES AN INTUITIVE METHOD
 The first step in the learning of any mathematical subject is the
development of Intuition. This must come before rules are stated or
formal operations are introduced

7. Scope
Of
Mathematic
s
Maths
and
socialscie
nce
Daily life
Maths in
Agricultu
re
Science:-
Chemistr
y, Biology,
Physics
Data
science
Account
ant/
Auditor
SCOPE OF MATHEMATICS

8. Data Science
Data Scientists are specialists who use Mathematical and Statistical methods, computer
modelling and software to extract knowledge and information from structured (such as a
database in MS-Excel or SQL) or structured data (such as written text, images, and
videos).
Data can be anything from population data and personal income data of Indians to
images, video, and GPS data. Data Scientists use models or formulas to analyze a very
large pool of data to derive useful information and insights. There is a huge scope of
mathematics principles in Data Science.
Accountant/Auditor
An Accountant generally prepares financial reports to help managers in
business or executives working for the government. As Accounting
requires a lot of number crunching, it is included in the scope of
Mathematics.

9. Maths and Science
• Physics : Force, Pressure, Directions, etc.. It makes Physics
Rules Workable
• Chemistry : Used in all chemical combination and structure of
atoms. Eg: 𝐻2𝑂
• Biology : Blood pressure, Respiration Rate, Genetics, Growth
Etc...
• Engineering: Survey, Levelling, Designing, Construction etc...
Maths and SocialScience
• Economics : Application of Statistics and probability
• History : Understanding through calendar.
• Geography : Position of Earth, Change in Seasons, State
Boundaries, Formation of day and night.
Mathematics and Agriculture.
• Investment of Money, Energy and Time
• Estimation of Production, profit and lose

10. CHARACTERISTICS OF MATHEMATICS
PRECISION AND ACCURACY Logical sequence
Applicability Abstraction
Generalization
And
Classification

11. PRECISION AND ACCURACY
• Mathematics is known as an exact science because of its precision
and accuracy.
• Mathematics is the only subject which can claim certainty of
results.
• In mathematics the results are either right or wrong, accepted or
rejected. There is no midway possible between right and wrong
LOGICAL SEQUENCE
• Mathematics also possesses the characteristics namely logical sequence.
• The study of mathematics begins with few well-known uncomplicated
definitions and postulates, and proceeds step by step, to quite elaborated
steps
• Mathematics Learning always proceeds from simple to complex and from
concrete to abstract

12. APPLICABILITY
• Knowledge is power only when it applied
• The study of mathematics requires the learners to apply the
skills acquired to new situations.
• The knowledge acquired by the students is greatly for problem
solving problems. The students can always verify the validity of
the mathematical rules and relationships by applying them to
novel situations.
ABSTRACTION
• Mathematics is abstract in the sense that mathematics does
not deal with actual objects in much the same as physics. In
fact mathematical questions, as a rule, cannot be settled by
direct appel of experiment
eg: Infinity is something that we never experience and yet
its is the central concept of mathematics.

13. GENERALISATION AND CLASSIFICATION.
• Mathematics gives exercise widening and generalizing
conceptions, in combining various results in one head, in
making schematic arrangements and classifications.
eg: The number concept itself enlarged from that whole
number to include successively fractional numbers, irrational
numbers, negative numbers and imaginary numbers

14. THANK
YOU

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