This document discusses argumentation and justification in mathematical processes. It covers two approaches to psychology, arguments for and against mathematics as a compulsory subject, and the absurdity of anti-mathematics arguments. Justification of solutions is important in mathematics, and teachers should encourage students to understand processes and concepts, not just answers. Students need to find and justify their own solutions through class discussions and explaining their reasoning.

1. JSS Mahavidyapeeta Mysore -04
JSS Institute of Education Sakaleshpura
2021-2022
Name:Latha K D
Reg No:U01HY21E0030

2. TOPIC:
ARGUMENTATION AND
JUSTIFICATION IN MATHEMATICAL
PROCESS

3. INTRODUCTION

4. ARGUMENTATION

5. ARGUMENTS FROM THEORY
Though there are a number of schools of psychology
it would be sufficient for our purposes to divide them
into two classes:
The schools of psychology that hold that man is a
mere machine and that all learning consists in the
formation of stimulus response bonds of the reflex
variety; and the schools of psychology that think that
man is something more than a machine and that
learning, at any rate human learning consists in
something more than a mechanical formation of
bonds or conditioned reflexes.

6. ARGUMENTS AGAINST MATHEMATICS AS A
COMPULSORY SUBJECT
There has been wide criticism of making mathematics a
compulsory subject up to 10 years of schooling. some of
the arguments are given below:
1. Mathematics is an exceptionally difficult subject .the
pass percentage of high school examination in this
subject is very low in comparisons to other subjects of
the school curriculum.it is because the study of
mathematics requires specific ability and intelligence.
2. The notion that the study of mathematics disciplines
the mind and helps in the development of mental
powers is a myth.

7. 3.the study of mathematics is useful in some
vocations like accountancy,banking, statistics ,engineering,
surveying etc.
4.study of mathematics is advocated on the ground that its
knowledge is essentially required for our day to day tasks.
The observation is very true .mathematics is needed by
everybody in one way or other.

8. ABSURDITY OF ARGUMENTS
A close analysis of the above arguments can reveal their
absurdity. let us consider them one by one.
1. The belief that study of mathematics needs some special
ability or intelligence is erroneous.there is nothing like
mathematical ability or intelligence which is opposed to the
abilities essential for learning other subjects.
2. mathematics does help in training and disciplining the
mind. it develops the power of thinking and reasoning and
gives mental exercises best fitted for strengthening the
faculties of the mind.
3. study of mathematics is helpful in learning most of the
school subjects as it is believed to be the art of all arts and
science of all sciences.

9. JUSTIFICATION

10. JUSTIFICATION OF A SOLUTION
In mathematics,Teachers should encourage students
to focus on more than just the right answer;
students need to understand the process and
underlying concepts to derive the right answer in
other words,students need to find and justify their
solutions.
justification of a solution can also arise in the contex
of a class discussion of mathematics, where students
will need to explain their solutions orally.

11. UNDERSTANDING THIS STRATEGY
To support students to justify their solutions,the teacher
can:
• Have a class discussion about what it means to justify a
solution.
• The teacher might ask some students to outline how they
could justify a particular solution from a previous lesson.
• Provide a problem to students and have them solve it,
recording their justifications.
• Ask students to work in pairs to justify their solutions.
• Ask pairs to share and provide constructive feedback
about each other's justifications.

12. CONCLUSION
• In mathematics teachers should encourage students to
focus on more than just the right answer; students need
to understand the process and underlying concepts to
derive the right answer.in other words,students need to
find and justify their solutions.
• Justification of a solution can also arise in the context of
a class discussion of mathematics, where students will
need to explain their solutions orally.

13. REFERENCE
• https://link.springer.co
• htopscience.iop.org
• WWW.education.vic.gov.au

14. THANK YOU