Modern trends in curriculum construction focus on respecting each individual and encouraging diversity. When developing mathematical curricula, reform groups have analyzed traditional programs and suggested improvements. They recommend introducing real numbers from the beginning instead of separate stages, and incorporating abstract algebra concepts and applications earlier. Reforms also aim to integrate mathematics by breaking down barriers between subjects and replacing synthetic geometry with algebraic treatments.

1. ASSIGNMENT
“Modern Trends in Curriculum Construction And Their
Application in Developing Mathematical Curriculum”
1. Modern Trends in Curriculum Construction
There was a time hard to remember now when education
was not a steady front page subject in the news nor were
the foreign and domestic events reported so quickly
reflected in educational concerns.Fortunately,we as a
people have moved beyond a concern for survival which
focused on education in science and technology.Now there
is welcome news of growing solicitude about survival for
what?.This can be found in the many announcement about
new activities in the humanities and art.
Curriculum and teaching may be examined from two major
part of view strategies for curriculum change and
substantive necessities in change while recognizing the
importance of the former this paper will confine itself to the
later.The curriculum maker has four basic tasks,regardless
of the level at which he works or the content field in which
he is interested.

2. Three sources of data are essential in validating educational
objectives the learner society and the disciplines.A word
about each seems appropriate.The learner as a base every
child has an inner drive to became a more complete person
and to learn what can become meaningful to him.The art of
teaching lies in stimulating this force and in keeping it alive
free and developing.
The following values are vital as criteria for assessing
presenting practices and guide to future improvement of the
schools,
1. Respect for the work and dignity of every individual.
2. Equality of opportunity for all children
3. Encouragement of variability.
4. Faith in mans ability to make rational decisions,shared
responsibility for the common good.
5. Respect for moral and spiritual values,and for ethical
standards of conduct.
2.Modern Trends in Developing Mathematical Curriculum
The Commission on Mathematics of the SMSG
(School Mathematics Study Group,)the Illinois Project (USA),

3. the Cambridge Report ,the Cockcraft Report (U.K) and many
other curriculum reform groups had analysed the traditional
high school and higher secondary school mathematics
curriculum.
It has been suggested that from the very
beginning the child should learn about real number system
instead of being led by sharply distinguishing stages through
the natural numbers, fractions and negative numbers to the
rational number system and thereafter to the irrationals and
the real number system.
In the secondary school programme the most
essential innovation that needs to be made is in the
introduction of basic concepts of abstract algebra and their
application to geometry,through an appeal to groups and
vector-systems . The concrete foundations for teaching
abstract algebra are laid in arithmetic operations ,set theory
, and physical geometry.
The geometry content in the mathematics
curriculum should be such that the algebra studied in the
earlier class becomes a more useful tool. The traditional
content of the Euclidean Geometry has to be more precise
and be more logically presented.

4. Another important viewpoint is an integrated
approach where mathematics is viewed as a single, and not
to divide it into watertight compartments labelled
‘Arithmetic ‘ , Algebra’, ‘Geometry’ , ’Trigonometry’ and so
on .
For example, the replacement of Euclidean
synthetic geometry by an algebraic treatment of the subject
would help in some measure to break down the barriers that
now exists between algebra , geometry and trigonometry
when treated as separate subjects.
The curriculum for higher secondary classes in
almost all states India has been reviewed and revitalized
based on an interdisciplinary approach because of the
impact of mathematics on almost all branches of school
subjects .
There has been a lot of criticism as to the
inclusion of pure geometry in the high school curriculum.
Some reforms such as Professor Dieudonne of France and
Professor Fehr of the U.S.A. argued that , “Euclid must go”
on the ground that Euclid’s geometry is now sterile and off
the main road of mathematical advance.
SMITHA S ;ROLL NO 133