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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.
1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving
I dont understand arcsin and arccos and how to find the domain...help?
Explain Bachet Equation?
Determine if the following sequences are monotonic and/or bounded. (a) {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0
how to solve for x
(a) Find the curve on the surface z=x 3/2 joining the points(x,y,z)=(0,0,0) and (1,1,1) has the shortest arc lenght? (b) Use a computer to produce a plot showing the surface an
One-to-one function: A function is called one-to-one if not any two values of x produce the same y. Mathematically specking, this is the same as saying, f ( x 1 ) ≠ f ( x 2
Classification : As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c
solve the differential equation dy/dx=f(y)x^n+g(y)x^m by finding a one-parameter group leaving it invariant
find the coordinates of points of tri-section of the line joining the points (-3,0) and (6,6).
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