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SEMINAR
PREPARED BY,
ReshmaRaveendran
VALUES OF MATHEMATICS
AIMS
• Conscious purposes and goals.
• Set of objectives which the teacher tries to
achieve.
• Knowledge helps to avoid aimlessness in
teaching.
VALUES
• Outcomes received after teaching
according to the aims.
• Realised in course of teaching.
• Actual results of our teaching efforts.
MATHEMATICS
According to PLATO
Mathematics is the subject which provides an opportunity for the
training of mind to close thinking, stirring up a sleeping and
unstructured spirit.
-
Mathematics has got many educational values which determine the
need of teaching the subject in schools. Education must contribute
towards the acquirement of these values.
Knowledge and skill
Intellectual habits & power
Desirable attitude and ideals
These values can be studied mainly under the following heads:
1. Practical Value/ Utilitarian value
2. Cultural Value
3. Disciplinary Value.
DISCIPLINARY VALUE
Trains or disciplines the mind
Exact, true & to the point knowledge
Develops reasoning & thinking powers
Demands less from memory
Development of power rather than
acquisition of knowledge
Knowledge comes as a natural sequence or
by- product
Mathematics is a way to settle in the
mind a habit of reasoning.
-Locke
Reasoning in Mathematics possesses certain
characteristics which are suitable for the
training of learner’s mind.
Characteristic of SIMPLICITY
Teaches that definite facts are always
expressed in a simple language & are
always easily understandable.
One can easily follow a gradation going
from simple to complex.
Characteristic of ACCURACY
No chance of progress & credit in
Mathematics without this.
Accurate reasoning, thinking &
judgment are essential for the study.
Accuracy, exactness & precision
compose the beauty.
Student learns the value of accuracy &
applies in life, learns to influence &
command others by accuracy.
Reasoning in Mathematics possesses certain
characteristics which are suitable for the
training of learner’s mind.
Characteristic of Certainty of Results
Difference of opinion between
teacher & taught is missing.
Student can verify the result by
reverse process.
Student can remove difficulties
by self effort.
Characteristic of Originality
Demands original thinking
Practice in originality enables the
child to face new problems &
situations with confidence .
Reasoning in Mathematics possesses certain
characteristics which are suitable for the
training of learner’s mind.
• Characteristic of Similarity to
the reasoning of life.
• Characteristic of Verification
of Results
• Power of knowledge
• Application of knowledge
CULTURAL VALUE
• Mathematics is the mirror of
civilisation
- Hogben
• Understanding of the world,
civilisation & culture requires
mathematical principles.
• This value is increasing day by
day.
• Prosperity of man & his cultural
advancement have depended
considerably upon the
advancement of mathematics.
• Progress of different occupations
build up culture & Mathematics is
it’s backbone.
• Modern materialistic attitude is the
outcome of influence of Mathematics on
life & culture.
• Medium to pass on cultural heritage to
coming generations.
• Pivot for cultural arts like sculpture,
painting etc.
OTHER VALUES
SOCIAL VALUE Society is the result of union of individuals.
Math helps in its proper organisation &
maintenance.
Helps in creating a social order.
Useful tool for smooth transactions, exchange,
trade, business & bargaining .
Harmony, law & order, dynamicity etc seen in
society is because of Mathematics.
IT, Construction of Modern Airports, electronic
telephone exchange are the gifts of Mathematics.
The progress & improvement of Maths
are linked to the prosperity of the state.
- Napolean
MORAL VALUE
 Able to understand how it is concerned with
right & wrong conduct.
 Qualities like honesty, patience, simplicity etc
can be developed through the learning.
 Helps in moral development &
character formation.
 No place for half truths,
unreasonableness, prejudiced
feelings etc.
 Germinates & nourishes good
character in individulas .
AESTHETIC
VALUE • (Pythagoras, Archimedes stories)
 Magic quares, triangles
 Eg : 9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
 Shapes in Nature
 Music is nothing but mathematically organised
sound.
 Concerned with beauty, art &
understanding of beautiful
things.
 Provides great pleasure to the
learner.
 Entertains with games, puzzles
etc.
INTELLECTUAL
VALUE
Problems train the thought process.
Proving of statements requires
argumentation, comparison,
cancellation etc, (the experiences of
intellectual value).
Eg : All theorems & proofs in Geometry
 Development of intellectual
traits like Power of Thinking &
Reasoning, induction, analysis
etc.
 Taught for the development of
power rather than knowledge.
INTERNATIONAL
VALUE
Develops International brotherhood &
peace.
Brings nation together.
Math knowledge maintain goodwill,
understanding, collective work &
uniform development all over the globe.
 Mathematical knowledge is
not monopoly of any nation.
 Travels all over the world
benefiting human beings &
nature.
 Mathematicians irrespective of
caste, race etc made great
contributions
CONCLUSION
Mathematics develops different skills, valuable information, thinking, reasoning
capacity , disciplines the mind, hardwork, patience, logical thinking, cultural
advancement, intellectual growth, character building, social relationship and
international understanding.

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Values of Mathematics

  • 3. AIMS • Conscious purposes and goals. • Set of objectives which the teacher tries to achieve. • Knowledge helps to avoid aimlessness in teaching. VALUES • Outcomes received after teaching according to the aims. • Realised in course of teaching. • Actual results of our teaching efforts.
  • 4. MATHEMATICS According to PLATO Mathematics is the subject which provides an opportunity for the training of mind to close thinking, stirring up a sleeping and unstructured spirit. -
  • 5. Mathematics has got many educational values which determine the need of teaching the subject in schools. Education must contribute towards the acquirement of these values. Knowledge and skill Intellectual habits & power Desirable attitude and ideals These values can be studied mainly under the following heads: 1. Practical Value/ Utilitarian value 2. Cultural Value 3. Disciplinary Value.
  • 6. DISCIPLINARY VALUE Trains or disciplines the mind Exact, true & to the point knowledge Develops reasoning & thinking powers Demands less from memory Development of power rather than acquisition of knowledge Knowledge comes as a natural sequence or by- product Mathematics is a way to settle in the mind a habit of reasoning. -Locke
  • 7. Reasoning in Mathematics possesses certain characteristics which are suitable for the training of learner’s mind. Characteristic of SIMPLICITY Teaches that definite facts are always expressed in a simple language & are always easily understandable. One can easily follow a gradation going from simple to complex. Characteristic of ACCURACY No chance of progress & credit in Mathematics without this. Accurate reasoning, thinking & judgment are essential for the study. Accuracy, exactness & precision compose the beauty. Student learns the value of accuracy & applies in life, learns to influence & command others by accuracy.
  • 8. Reasoning in Mathematics possesses certain characteristics which are suitable for the training of learner’s mind. Characteristic of Certainty of Results Difference of opinion between teacher & taught is missing. Student can verify the result by reverse process. Student can remove difficulties by self effort. Characteristic of Originality Demands original thinking Practice in originality enables the child to face new problems & situations with confidence .
  • 9. Reasoning in Mathematics possesses certain characteristics which are suitable for the training of learner’s mind. • Characteristic of Similarity to the reasoning of life. • Characteristic of Verification of Results • Power of knowledge • Application of knowledge
  • 10. CULTURAL VALUE • Mathematics is the mirror of civilisation - Hogben • Understanding of the world, civilisation & culture requires mathematical principles. • This value is increasing day by day. • Prosperity of man & his cultural advancement have depended considerably upon the advancement of mathematics. • Progress of different occupations build up culture & Mathematics is it’s backbone.
  • 11. • Modern materialistic attitude is the outcome of influence of Mathematics on life & culture. • Medium to pass on cultural heritage to coming generations. • Pivot for cultural arts like sculpture, painting etc.
  • 13. SOCIAL VALUE Society is the result of union of individuals. Math helps in its proper organisation & maintenance. Helps in creating a social order. Useful tool for smooth transactions, exchange, trade, business & bargaining . Harmony, law & order, dynamicity etc seen in society is because of Mathematics. IT, Construction of Modern Airports, electronic telephone exchange are the gifts of Mathematics. The progress & improvement of Maths are linked to the prosperity of the state. - Napolean
  • 14. MORAL VALUE  Able to understand how it is concerned with right & wrong conduct.  Qualities like honesty, patience, simplicity etc can be developed through the learning.  Helps in moral development & character formation.  No place for half truths, unreasonableness, prejudiced feelings etc.  Germinates & nourishes good character in individulas .
  • 15. AESTHETIC VALUE • (Pythagoras, Archimedes stories)  Magic quares, triangles  Eg : 9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888  Shapes in Nature  Music is nothing but mathematically organised sound.  Concerned with beauty, art & understanding of beautiful things.  Provides great pleasure to the learner.  Entertains with games, puzzles etc.
  • 16. INTELLECTUAL VALUE Problems train the thought process. Proving of statements requires argumentation, comparison, cancellation etc, (the experiences of intellectual value). Eg : All theorems & proofs in Geometry  Development of intellectual traits like Power of Thinking & Reasoning, induction, analysis etc.  Taught for the development of power rather than knowledge.
  • 17. INTERNATIONAL VALUE Develops International brotherhood & peace. Brings nation together. Math knowledge maintain goodwill, understanding, collective work & uniform development all over the globe.  Mathematical knowledge is not monopoly of any nation.  Travels all over the world benefiting human beings & nature.  Mathematicians irrespective of caste, race etc made great contributions
  • 18. CONCLUSION Mathematics develops different skills, valuable information, thinking, reasoning capacity , disciplines the mind, hardwork, patience, logical thinking, cultural advancement, intellectual growth, character building, social relationship and international understanding.