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DEVELOPING PRE-NUMBER CONCEPTS : Previously you have read how children acquire concepts. You know that, for children to grasp a concept, they must be given several opportunities to explore and experience it. While exploring, they must be encouraged to talk about what they are doing. And, all this requires us to be patient. Some of us start by encouraging children to look for the answer themselves. But when they take time, our impatience makes us give them the answer or do the task quickly ourselves. This prevents the children from reasoning for themselves and finding out. In fact, we should help them define the problem, and then look for possible solutions, giving them enough time to do so. That is how they will develop their understanding of mathematical concepts and their ability to think mathematically.
Let us now talk specifically of ways of nurturing the child's abilities of classifying, ordering and pairing. The discovery approach, through activities that children enjoy, seems to be the most effective teaching method. We shall consider several activities here. Please note that the activities that we describe here are meant as examples only. Please adapt them t~ your specific situation, using the materials that are easily available. We also hope that they will help you to generate other activities relevant to your situation.
Let us first consider activities that can help a child to learn how to classify.
find the magnitude of the following vectors:5i+7j
Pepsi: A dummy variable where 1 denotes choice of Pepsi by the i-th customer and 0 otherwise Price_P: The price of a 2-liter bottle of Pepsi at the time
Proof of the Properties of vector arithmetic Proof of a(v → + w → ) = av → + aw → We will begin with the two vectors, v → = (v 1 , v 2 ,..., v n )and w? = w
prove that every non-trivial ingetral solution (x,y,z)of the diophantine equation Xsquare +Ysquare=Zsquare satisfies gcd(x,y)=gcd(x,z)=gcd(y,z)
Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a
scanning the demographic environment
A fire in a building B is reported on telephone to two fire stations P and Q, 10km apart from each other on a straight road. P observes that the fire is at an angle of 60 o to th
find the amplitude and period of y=3 sin 2 pi x
Indeterminate form : The 0/0 we initially got is called an indeterminate form. It means that we don't actually know what it will be till we do some more work. In the denominator
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