Mathematics for education and RTE in primary classes

Mathematics Curriculum

for Value Education & RTE-2009

(Primary section)

Introduction:

In the primary school years, the aim of school Mathematics is to develop

“useful” capabilities and also to develop the ability to think and reason

mathematically.

Mathematics should be visualized as the vehicle to train a child to think,

reason, analyze and to articulate logically. ( National Policy on Education

1986)

The main goal of mathematics education in schools is the

mathematisation of the child’s thinking. (NCF-2005).

Mathematics being a compulsory subject of study, access to quality

mathematics education is every child’s right. There is a stereotype

thinking that boys are better at mathematics than girls.

We want mathematics education that is affordable to every child, and at

the same time, enjoyable. Mathematics education at the elementary

stage and there after Class VIII should help children prepare for the

challenges they face further in life.

Source : NCERT Source Book on Assessment for Classes I-V

Objectives:

On completion of this module you would

1. locate the constitutional values inculcated in to the texts.

2. able to relate additional values related to life.

3. create avenues for all round development to child through text.

4. Provide scope and design activities for expression of child’s

potentialities.

5. Plan curriculum inputs for fullest development of child’s physical

and mental activities.

6. Understand curriculum as a whole some initiative for holistic

development of child.

3. Concepts/theme:

The following areas have been identified for intensive discussion in order

to understand the scope and in depth implications of the text in

conformity with NCF 2005 and RTE act-2009.Each area is being dealt

separately though all the areas are interlinked. Attempt has been made

to go into the text taking each thrust area and examine the existing

scope therein.

Focused theme (3.1) Value Education:

Focused

theme(1)

Strategy Discussion Consolidation

Value

Education

Divide the

participants in small

A good

education

system is a

value –based

process.

What remains

at the end of

education are a

set of values

that control and

guide a person’s

thought and

action. So,

every subject is

learnt and

taught with

some values to

be achieved at

the end.

(R.P makes a

brief

presentation of

groups.

Each group is asked

to report on one

aspect after

analyzing the text

materials of

mentioned topic.

The Resource

persons initiate

discussion with the

help of questions.

Each group

presents (

2X4=8minutes)

Resource

person takes

the lead in

discussion to

consolidate.

Q1.Which are the

values that have

been enriched in

the constitution?

Ans1.

Liberty

Equality,

Fraternity,

Justice, respect

for individual,

2. What are the

values that have

been recommended

in NPE 86?

Ans.2

Understanding

freedom struggle,

Patriotism,

3 minutes)

Secularism,

Tolerance,

Protection of

Environment,

Conservation of

resources, small

family norms

3. What is the

provision of values

in NCF 2005?

Q3. Nationalism,

Love ,Sympathy,

Empathy and

concern,

Punctuality,

Sincerity

Cleanliness

Q4.What are the

concerns in respect

of value education

in CCE?

Q4.

Identificati

on of values ,

sequence of

values, assessment

of values

Specific to subject (Mathematics):

Focused

theme(3.1)


Value

Education

(Specific)

Related to

content

Class V

Different

Geometrical

Shapes

>Two

dimensional

shapes

Triangle,

rectangle,

Square,

The participants will

locate and identify

the values of

teaching geometrical

shapes.

Questions can be

group wise

Q1 Group-1

What are the values

students can develop

while drawing

different objects

with the shapes?

Q2. Group-2

What are the values

Resource person

will initiate

discussion after

10 minutes times

of internal

discussion.

Example :

Drawing of flags

of different

countries.

Drawing of

Flags of

different

countries will

develop the

values such as

accuracy

Liberty

Patience

Trapezium,

Parallelogram.

students can develop

while identifying

different shapes in

daily life? ( at least

10 objects)

Group-3

Plan an activity for

the students in group

to find symmetry in

nature?

What are the values

you can inculcate in

the students?

Examples:

Different

objects

Such as clock,

Flag, top of

table, Roti,

Plates.

Symmetry in

alphabets, Leaves

Sincerity

Ans.

Aesthetic

value

Sincerity,

Peace,

Freedom,

conservation of

environment

Ans.3Working

in group will

develop

leadership,

team work and

tolerance.

Basic

operations

Class II & III

Q1. 7 children picked

mango and agreed to

share equally. They

picked 127mangoes.

How many they will

get each?

Equality

Discipline

Sacrifice

creativity

What will happen to

extra one?

Which value can be

developed through

this question?

Sum up:

Different values such as liberty, discipline can be inculcated through the

text material. Through drawing of different shapes the aesthetic value

can be developed.

End exercise:

Q1. Make a question to develop value of respect in the students.

(Expected answer:

Nick helps his elderly neighbour for 1/4 of an hour every week night and

for 1/2 an hour at the weekend. How much time does he spend helping

her in 1 week?

What value is emphasized in the above question?

Q2.Mention some values which are not mentioned in the discussion but

can be inculcated through teaching Mathematics)

Suggested reading:

Tangram: http://en.wikipedia.org/wiki/Tangram

Focused theme (3.2) All round development

Focused

theme(3.2)

Strategy Discussio

n

Consolidation

All round

development

R.P should discuss

the meaning and

need of all round

development of an

individual.

He may

emphasize its’

importance in

NCF-2005

( 5 minutes)

Content

Class V

Divide the

participants in

small groups.

The Resource

persons will initiate

following

discussion.

Group

activity

Resource

person

takes

the lead

in

discussio

n to

consolida

te.

WHO defines all round

development of a child

is child's complete

personality consists of

the Intellectual ,

Social,

Personal ,Educational

and Emotional

components.

Mathematics play an

1. Identify the

text book questions

which develop all

round development.

At least 8

>Surfaces

Plane surfaces

Curved surfaces

>Three

dimensional

shapes Cuboids,

Cube,Prizm,Pyrami

d

Cylinder,

Cone,

Sphere.

questions can be

identified by each

group.(2 by each

group)

2. Plan an activity

for identification

of surfaces of

different objects

in daily life.

3. Plan an activity

the students will

make a solid by

paper cutting or

wood.

Focused theme (3.3)

Building up Child’s potentiality, knowledge and talent

Focused

theme(3)


Building up Divide the Group The ability to

Child’s

potentiality,

knowledge and

talent

Content

Class III,

IV & V

Geometry

Line, angles,

triangles and

properties

related to the

concepts.

participants in small

groups.

The groups can be

assigned lines, angles

and triangle

respectively.

The Resource

persons initiate

discussion with the

help of questions.

activity

compute, related to

the power of

technology and to the

ability of social

organisation, and the

geometrical

understanding of

space-time, that is

the physical world

and its natural

patterns, show the

scientific and

cultural role of

Mathematics in the

history of Civilisation

and in the future

development.

Q1.Suggest some

activity to teach

angles in Geometry.

How does it help in

developing

knowledge?

How does it help in

developing

potentiality?

Q2. Suggest some

activity to develop

the concept that sum

of angles of a

triangle is 180o.

How does it develop

their talent?

Ans1.

This will develop

>computational skills,

>capacity of

identifying

> estimation

>and approximation in

solving problems

> making connections

>Reasoning

Q3.Suggest some

ICT tools for

developing the

concepts of

geometry.

Ans.2

Software “GeoGebra”

GeoGebra is an

offline software can

be freely downloaded

from

www.geogebra.org

R.P should show some

concept using the

software

Using software the

students will develop

skill of technology.

Sum up: Introduction of operations on fractions coincides with the

beginnings of fear of mathematics. The content in these areas needs

careful reconsideration.

Mathematical games, puzzles and stories are useful to enable children to

make these connections and to build upon their everyday understandings.

End Exercises:

Q1. Develop an ICT tool in “GeoGebra” to construct

Line segment

Triangle

Circle.

Suggested reading:

GeoGebra tutorial

http://wiki.geogebra.org/en/Tutorial:Main_Page

Focused theme (3.4) Developing Physical and mental activity

Focused

theme(3.4)


Developing

Physical and

mental

activity

Divide the

participants

in small

groups.

Resource

person takes

the lead in

discussion to

The activity will

allow

Content

Class VI

Data Handling

Collection of

data

Arrangement

of data

Drawing bar

graph

Getting

average

The

Resource

persons

initiate

discussion

with the help

of questions.

General

questions:

Identify the

text book

questions

which involve

physical and

mental

activity.

consolidate in

groups.

(At least 8

questions can

be identified

by each

group.)

General

questions

(20 +10 =30

minutes.)

Or time can

vary from

group to

group.

independent

thinking, and to

think divergently.

encourage It will

develop self

discipline

in learners.

Q1

Plan a group

activity in

which the

students will

collect data

Ans1.

Collection of

birthdays

Collection of marks.

It develops their

social skills such as

taking class

room

situation

communication,

empathy. It develops

their thinking skills

such as problem

solving, creativity,

creative thinking.

Q2. Plan a

group

activity the

students will

collect data

related to

community

Ans.2

Collection of number

of vehicles


of schools.

Q3.Plan a

group

activity the

students will

collect data

from

Newspaper

Q3.

Collection of

temperature for a

weak

Collection of

population

Q4.Plan a

group

Q4.


of man and woman

activity the

students will

collect data

about their

daily life.

Collection of

numbers of a family

How set of

data can be

compared?

Tabulation

Graph

Average

Class II

Numbers

Odd numbers

Even numbers

Division and

multiples

Divide the

participants

(students in

Class) in

unequal

numbers.

Ask them to

send 2(two)

at a time.

The

participants

will be paired

.If no

member is

left then the

number is

even.

If one is left

then odd.

Similarly

three at a

time, four at

a time and so

This will develop

their analytical

thinking. Discipline in

movement.

on….

To identify

angle. Class- V

This is a

group

activity.

RP will ask

the

participants

by using

body

postures

An angle less

than a right

angle and an

angle more

than a right

angle

This will develop

both physical as well

as mental ability

Sum up:

The students will explore community and develop different social skills as

well as values such as concern for environment. The activity must leave

scope for the students to explore some major concern such as sex ratio

and related to environment. The concepts such as data handling leave

scope for the students as well as teachers to use technology in teaching

& learning. “MS.Excel” and “geogebra” should be used for tabulation,

representation, graph plotting and interpretation of data.

End exercise:

Q1. Suggest some more activity which involves physical activity.

Q2.Find the average of your students’ marks using “MS.Excel” or

“GeoGebra”.

Q3.Draw one pie chat using MS Excel.

Suggested reading:

NCERT Source Book on Assessment for Classes I – V.

The scope and in depth implications of the text in conformity with NCF

2005 and RTE act-2009 developed at RIE,Bhubaneswar.

Mrs. Pratima Nayak,Kendriya Vidyalaya,Fort William,

[email protected]

mailto:[email protected]