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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.
Evaluate the following integral. ∫√(x 2 +4x+5) dx Solution: Remind from the Trig Substitution section that to do a trig substitution here we first required to complete t
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f(x)=4x-3 and g(x)=(x+3)/4 a)Find the function fg(x) b)Hence describe the relationship between the functions f and g c)Write down the exact value of fg(sqrt(3))
Julie had $500. She spent 20% of it on clothes and then 25% of the remaining money on CDs. How much money did Julie spend? Find out 20% of $500 by multiplying $500 by the decim
10 puzzles
Q. How to calculate Percentiles? Ans. In a large group of standardized test scores we expect the scores to approximate a normal curve. If all scores are translated to z-s
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5+5
X and Y are centers of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally. Given that XZY=90 o , w
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