axiomatic nature of mathematics – a contemporary approach based on intuition

Axiomatic Nature of

Mathematics – A Contemporary approach

based on intuition .

Introduction

Intuition is the Key to guide us from

Imperfection to perfection

Factors stimulating intuition are intrinsic and

extrinsic by nature

Axioms: Its meaning & concept in relation with

intuition

Challenges & Responsibilities of Modern

teacher

To make the smart classes smarter

Fundamental mathematical reasoning lies in its

axiomatic nature

Set theory as an example: a logically defined

pattern of ideas that can be extended to limitless

possibilities

Implementation of axioms in class room teaching

The descriptive nature of axioms is extremely

beneficial in teaching.

Axiomatic structure relies on independency,

completeness and consistency

Intuition leads to rationalization.

Effective use of axioms

Puts the focus on linking the unrelated concepts

and turns them into logically related concepts.

Stimulation of learners to think beyond the defined

structure and to move from concrete to abstract.

Innovation of a new prospective which gives rise

to innumerable possibilities.

Class room scenario today Fault lies in the excessive stress on content rather than process.

Puzzled Child

Change in the mindset of the teachers.To look for hidden possibilities within the mistakes

Desired class room

To develop a conducive learning environment,

the teacher acts as a facilitator

Universe – infinite possibilities The Universe is a set of objects beyond formalised

pattern

The philosophy behind the use of axioms is

to develop appreciation for mathematics,

besides developing an aesthetic value of

the subject. This results in a

PASSIONATE LEARNER.

Happy Learner

Learning environment Using philosophy of axioms passionate learner

Thanks

Dr. Usha PathakAssociate Professor

D.A.V.(P.G.) College, Dehradun&

Dr. Chetna Thapa (T.G.T.), Department of School Education

Uttarakhand