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| Teaching
Mathematics |
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1. Planning the curriculum
Since Mathematics is hierarchical in nature, it has to be constructed like a
building where the work proceeds level by level. All the different kinds of
work needed to complete a level have to be completed before moving to the next
level. A spiral coverage of curriculum is better than a linear coverage.
As commonly practiced, it is roughly an annual
spiral. A spiral coverage completed every term
would be more effective. In such a scheme,
learning and revision
get integrated.
2. Using the Textbook
Due to many non-academic compulsions, the topics in a Mathematics textbook
are arranged linearly. For implementing a spiral coverage of the curriculum,
the textbook will have to be used in a different way.
3. Sustaining the intrinsic
motivation of children to learn
We wrongly concentrate on teaching 'ability' without ensuring that the necessary
'motivation for learning' is also nurtured.
Here are two strategies for sustaining motivation.
- Promote
autonomy among students.
Encourage students to make their own problems and to check their own answers.
Provide them multiple ways of approaching a problem. Let students adopt the
method they are most comfortable with. Let students feel that they have a
control over their learning and efforts.
- Encourage exploration.
Mathematics has many areas where students can conduct open-ended explorations
with surprise patterns and endings. These will make learning Mathematics
'fun' for children.
4. Teaching Concepts
- Provide enough experiences
leading to concept formation before introducing
definitions and terms related to the concepts.
For example, provide experiences in equal
sharing before introducing the concept of
division and the words associated with division.
- Less emphasis on verbal explanations.
Since language itself can become a barrier
to learning, purely verbal explanations may
not result in true understanding.
- Enable formation of mental
images and patterns. Concepts are stored
in our mind in the form of images and patterns.
Our teaching methods should assist children
in this process.
- Move from the concrete to
semi-concrete to abstract.
Concepts are abstract ideas. Children should be helped to construct these
in their minds by starting with concrete experiences and then move on to
semi concrete experiences and then to abstract experiences.
- Relate concepts to learners'
experience and previous knowledge. New concepts
are integrated into our existing knowledge.
Sometimes, new concepts that do not agree
with our existing knowledge, may cause the
restructuring of our existing knowledge to
accommodate the new knowledge. This takes
thinking on the part of the learner.
- Plan activities, if necessary,
with 'designed' activity materials. Many
mathematical concepts may be related to experiences
that a child may not have had. In such cases
activity materials should be designed so
that children can play with them and internalize
the related concepts.
- Encourage peer group interactions.
Concepts have to be constructed in the mind
in a continuous process of formation and
adjustment. For this it is very important
to discuss your ideas, defend them and where
necessary correct them. This has to be facilitated
in a non-threatening and non-combative atmosphere.
Encourage peer group interaction and cooperative
learning.
- Less emphasis on writing while
trying to understand concepts. Writing Mathematics
is very easy as the language of Mathematics
has very few alphabets. If too much writing
is involved while learning a concept, there
may not be sufficient time for understanding
the concept.
- Design Concept Worksheets.
Design 'Objective-Type' or short answer worksheets
mainly to test concepts. These worksheets
should not test computational skills.
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| Number
Games |
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| Source: Numeracy Counts !, Anita Rampal, R Ramanujam and L S Saraswati, N L R C, LBS National Academy of Administration, Mussoorie. |
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| Content developed
by S. Sundaram,
Principal, Atul Vidyalaya, Valsad, Gujarat. |
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