PPT: Nature of Mathematics | Mathematics & Pedagogy Paper 2 for CTET & TET Exams - CTET & State TET PDF Download

 Page 1


Nature of 
Mathematics
Page 2


Nature of 
Mathematics
Introduction to Mathematics 
Pedagogy
Core Focus
Explores mathematics' 
nature and teaching 
approaches at the 
school level.
Practical 
Relevance
Links abstract 
mathematical concepts 
to real-life applications.
Exam Significance
CTET and state TETs typically include 3-4 questions 
from this chapter annually.
Page 3


Nature of 
Mathematics
Introduction to Mathematics 
Pedagogy
Core Focus
Explores mathematics' 
nature and teaching 
approaches at the 
school level.
Practical 
Relevance
Links abstract 
mathematical concepts 
to real-life applications.
Exam Significance
CTET and state TETs typically include 3-4 questions 
from this chapter annually.
Meaning of Mathematics
Etymology & Definition
Mathematics is the "science of 
calculations" and "study of abstract 
systems."
Educational Perspective
Mathematics trains logical thinking 
and reasoning. It complements any 
analytical discipline.
Mathematics is the science of space, number, calculation, measurement, 
quantity and magnitude. It is a systematized branch of science dealing with 
quantitative facts and relationships through logical reasoning.
Page 4


Nature of 
Mathematics
Introduction to Mathematics 
Pedagogy
Core Focus
Explores mathematics' 
nature and teaching 
approaches at the 
school level.
Practical 
Relevance
Links abstract 
mathematical concepts 
to real-life applications.
Exam Significance
CTET and state TETs typically include 3-4 questions 
from this chapter annually.
Meaning of Mathematics
Etymology & Definition
Mathematics is the "science of 
calculations" and "study of abstract 
systems."
Educational Perspective
Mathematics trains logical thinking 
and reasoning. It complements any 
analytical discipline.
Mathematics is the science of space, number, calculation, measurement, 
quantity and magnitude. It is a systematized branch of science dealing with 
quantitative facts and relationships through logical reasoning.
Nature of Mathematics
Science of Space & 
Numbers
Explores spatial 
relationships, numerical 
patterns and measurement 
principles.
Unique Language
Uses specific terms, 
formulae, theories and 
symbols forming its own 
distinct language.
Abstract to Concrete
Transforms abstract ideas 
into tangible understanding 
through logical frameworks.
Universal Application
Laws and formulae remain 
consistent and verifiable 
across time and geography.
Mathematics stands uniquely stable among school subjects. Its structure builds confidence and scientific 
thinking in students. As Roger Bacon noted, "Mathematics is the gateway and key of all sciences," forming the 
foundation for physics, chemistry, biology and other disciplines.
Page 5


Nature of 
Mathematics
Introduction to Mathematics 
Pedagogy
Core Focus
Explores mathematics' 
nature and teaching 
approaches at the 
school level.
Practical 
Relevance
Links abstract 
mathematical concepts 
to real-life applications.
Exam Significance
CTET and state TETs typically include 3-4 questions 
from this chapter annually.
Meaning of Mathematics
Etymology & Definition
Mathematics is the "science of 
calculations" and "study of abstract 
systems."
Educational Perspective
Mathematics trains logical thinking 
and reasoning. It complements any 
analytical discipline.
Mathematics is the science of space, number, calculation, measurement, 
quantity and magnitude. It is a systematized branch of science dealing with 
quantitative facts and relationships through logical reasoning.
Nature of Mathematics
Science of Space & 
Numbers
Explores spatial 
relationships, numerical 
patterns and measurement 
principles.
Unique Language
Uses specific terms, 
formulae, theories and 
symbols forming its own 
distinct language.
Abstract to Concrete
Transforms abstract ideas 
into tangible understanding 
through logical frameworks.
Universal Application
Laws and formulae remain 
consistent and verifiable 
across time and geography.
Mathematics stands uniquely stable among school subjects. Its structure builds confidence and scientific 
thinking in students. As Roger Bacon noted, "Mathematics is the gateway and key of all sciences," forming the 
foundation for physics, chemistry, biology and other disciplines.
Teaching in Mathematics
1
Teaching Techniques
Mathematics teaching 
techniques make lessons 
engaging, improve explanation 
clarity, and enhance student 
retention.
2
Methods vs. Techniques
Techniques support teaching 
methods, while methods directly 
address objectives. Teaching 
strategies are purposeful action 
plans designed to achieve 
specific learning outcomes.
3
Diverse Approaches
Key strategies include Self 
Study, Drill Work, Supervised 
Study, Homework, Review, Oral 
Work, Brain Storming, Written 
Work, Assignment, and Group 
Work.
Effective math instruction requires balancing various techniques and strategies to accommodate different 
learning styles and create engaging environments that promote both understanding and retention.