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COURSE A4
Pedagogy of Teaching Mathematics
(B Ed Special Education – Hearing Impairment/
B Ed Special Education-- Learning Disability
University of Mumbai
TOPIC : Meaning, Nature, Importance ,Values of Mathematics
Dr.Amit Hemant Mishal,
Associate Professor
CCYM’S Hashu Advani College of Special Education
https://www.hashuadvanismarak.org/hacse/introduction.html
Dr.Amit Hemant Mishal, Associate Professor 1
Meaning
• Area of knowledge that includes the topics of numbers, formulas and related
structures, shapes and the spaces in which they are contained, and quantities
and their changes.
• study of patterns, numbers, geometrical objects, data, and chance is known
as mathematics. It is a broad science that deals with data analysis, the
integration of different domains of knowledge, proofs, deductive and
inductive reasoning and generalisations, and the explanation of natural events
and human conduct.
• There are various fields in Mathematics, such as arithmetic, algebra,
geometry, trigonometry, and so on.
• These topics are represented in modern mathematics with the major
subdisciplines of number theory, algebra, geometry,and analysis respectively.
• Most mathematical activity involves the discovery of properties of abstract
objects and the use of pure reason to prove them.
• These objects consist of either abstractions from nature or—in modern
mathematics—entities that are stipulated to have certain properties,
called axioms.
• A proof consists of a succession of applications of deductive rules to already
established results.
• These results include previously proved theorems, axioms, and—in case of
abstraction from nature—some basic properties that are considered true
starting points of the theory under consideration.
• Mathematics is essential in the natural
sciences, engineering, medicine, finance, computer science, and the social
sciences.
• The word mathematics comes from Ancient Greek máthēma (μάθημα),
meaning "that which is learnt","what one gets to know", hence also "study"
and "science". The word came to have the narrower and more technical
meaning of "mathematical study" even in Classical times.
Nature
• Used in all subjects and used in different fields.
• Used in every day life.
• Basic course in school curriculum
• Math follow following maxims- particular to general/Inductive-deductive, concrete
to abstract, empirical to rational,simple to complex
• Language of mathematics is unique as language of science/social sciences
• Systematic
• Logical
• No scope for doubts as verifiable answers same throughout
• Principles, rules for solving is same throughout.
• Science, Facts, relationships………….what more………….
• Develop reasoning, perseverance , resilience, problem solving, decision making,
divergent and critical thinking like skills.
Importance
• Very important in daily life- morning till end of the day.
• Mathematics in all subjects
• Develops mental discipline,mental rigour, ,improves reasoning ability
• Improves financial literacy
• Carrier opportunities
• Math use starts as one gets up to cooking, purchasing, shopping,
selling, saving, preserving etc.
• Helps to understand world around us.
• Stimulate cognitive development.
• Reasoning, Critical thinking
Values of Teaching Mathematics
• Intellectual
• Utilitarian
• Vocational
• Disciplinary
• Moral
• Aesthetic
• Social
• Cultural
• Psychological
• Training in Scientific Method
References:
• https://study.com/learn/lesson/math-in-everyday-life-uses-importance-
examples.html/(Retrieved on 17.4.2024)
• https://www.mathnasium.com/math-centers/steinerranch/news/5-
reasons-math-important (Retrieved on 17.4.2024)
• https://en.wikipedia.org/wiki/Mathematics (Retrieved 18.4.2024)
• https://byjus.com/govt-exams/concept-nature-of-mathematics-ctet-
study-notes/(Retrieved on 18.4.2024)
THANK YOU!!!!!!!!!!!!!!!!!

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1.1. & 1.2 Nature Scope Importance Value of Mathematics.pptx

  • 1. COURSE A4 Pedagogy of Teaching Mathematics (B Ed Special Education – Hearing Impairment/ B Ed Special Education-- Learning Disability University of Mumbai TOPIC : Meaning, Nature, Importance ,Values of Mathematics Dr.Amit Hemant Mishal, Associate Professor CCYM’S Hashu Advani College of Special Education https://www.hashuadvanismarak.org/hacse/introduction.html Dr.Amit Hemant Mishal, Associate Professor 1
  • 2. Meaning • Area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. • study of patterns, numbers, geometrical objects, data, and chance is known as mathematics. It is a broad science that deals with data analysis, the integration of different domains of knowledge, proofs, deductive and inductive reasoning and generalisations, and the explanation of natural events and human conduct. • There are various fields in Mathematics, such as arithmetic, algebra, geometry, trigonometry, and so on. • These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry,and analysis respectively. • Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.
  • 3. • These objects consist of either abstractions from nature or—in modern mathematics—entities that are stipulated to have certain properties, called axioms. • A proof consists of a succession of applications of deductive rules to already established results. • These results include previously proved theorems, axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of the theory under consideration. • Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. • The word mathematics comes from Ancient Greek máthēma (μάθημα), meaning "that which is learnt","what one gets to know", hence also "study" and "science". The word came to have the narrower and more technical meaning of "mathematical study" even in Classical times.
  • 4. Nature • Used in all subjects and used in different fields. • Used in every day life. • Basic course in school curriculum • Math follow following maxims- particular to general/Inductive-deductive, concrete to abstract, empirical to rational,simple to complex • Language of mathematics is unique as language of science/social sciences • Systematic • Logical • No scope for doubts as verifiable answers same throughout • Principles, rules for solving is same throughout. • Science, Facts, relationships………….what more…………. • Develop reasoning, perseverance , resilience, problem solving, decision making, divergent and critical thinking like skills.
  • 5. Importance • Very important in daily life- morning till end of the day. • Mathematics in all subjects • Develops mental discipline,mental rigour, ,improves reasoning ability • Improves financial literacy • Carrier opportunities
  • 6. • Math use starts as one gets up to cooking, purchasing, shopping, selling, saving, preserving etc. • Helps to understand world around us. • Stimulate cognitive development. • Reasoning, Critical thinking
  • 7. Values of Teaching Mathematics • Intellectual • Utilitarian • Vocational • Disciplinary • Moral • Aesthetic • Social • Cultural • Psychological • Training in Scientific Method
  • 8. References: • https://study.com/learn/lesson/math-in-everyday-life-uses-importance- examples.html/(Retrieved on 17.4.2024) • https://www.mathnasium.com/math-centers/steinerranch/news/5- reasons-math-important (Retrieved on 17.4.2024) • https://en.wikipedia.org/wiki/Mathematics (Retrieved 18.4.2024) • https://byjus.com/govt-exams/concept-nature-of-mathematics-ctet- study-notes/(Retrieved on 18.4.2024)