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.
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),
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.
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
Assignment

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Assignment

  • 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