Example of developing an understanding, Mathematics

Assignment Help:

I gave my niece a whole heap of beads and showed her how to divide it up into sets of 10 beads each. Then I showed her how she could lay out each set of I0 beads in a line, and call it a string. After she had made some strings, I told her that with 10 strings she could make a necklace.

She started making strings and necklaces with the beads, and slowly tried to form a relationship between a necklace and a string in her mind. After a bit, I asked her how many strings she would exchange for a necklace. She thought for a moment and said, "10." =then I asked her how many necklaces she could make from 107 beads. She thought for a while, and then said, "10 strings, and 7 beads will be left." I asked, "How many necklaces does that make?" To help her answer this, I asked her to actually take 107 beads and try and make as many necklaces as possible, given the fact that a necklace meant 10 strings and each string meant 10 beads.

She took the beads and ended up getting one necklace and 7 beads.

Next, I asked her how she would write that. The two of us worked out a system in which we wrote N S B -the number of necklaces was to be written below N, the number of strings below S and the number of beads below B. Under N she wrote 1 and under B she wrote 7. I asked her, "What about the number of strings?", to which she said, "There are no strings." So I asked her how she shadow that. She thought for a moment, and then wrote 0 below S.

(Note : Children may tend to ignore writing 0 in a numeral, because they think that it denotes 'nothing', and hence it need not be written. )

Then 1 wrote H T 0 above N S B, and asked her if she agreed with that. She thought for a bit, and then said that she did because 1'00 beads were one necklace and 10 beads was one string. "Fine ! Now, howmuch is 325?" I asked her. She property replied "3 necklaces, 2 strings, 5 beads." "How many beads does that make?" "Three hundred and twenty-five," she said.

After some type of such questions we played the following game. I gave her 3 digits. She was supposed to use them to make as many numerals as she could, and arrange them in decreasing order. Once 1 felt that my niece was enjoying the game, I extended it to 4 digits. And she made all possible numerals with them, including those like 0129 with 0, 1,2 and 9. 1 felt that it was very important to have her practise these ideas for a reasonable time and in a leisurely manner, without pressure.


Related Discussions:- Example of developing an understanding

Trignometric functions, sir kindly guide me in 1st order linear equations.

sir kindly guide me in 1st order linear equations.

Bottleneck for each product, A company makes 2 products, Product A and Prod...

A company makes 2 products, Product A and Product B. The product characteristics are shown in the following table. Product A B

Find the probability , 1.  What is the probability that the two beverages w...

1.  What is the probability that the two beverages will be of the same kind? 2.  What is the probability that the two beverages will be different? 3.  What is the probability

What was the us''s policy towards latin america, What was the US's policy t...

What was the US's policy towards Latin America during the 20th century? What were the motives behind this policy? Give one example of the US executing this policy?

Undetermined coefficients, In this section we will see the first method whi...

In this section we will see the first method which can be used to find an exact solution to a nonhomogeneous differential equation. y′′ + p (t ) y′ + q (t ) y = g (t) One of

How many solutions are there for differential equation, If a differential e...

If a differential equation does have a solution how many solutions are there? As we will see ultimately, this is possible for a differential equation to contain more than one s

Find the number of ways to arrange words, Q. Find the number of ways three ...

Q. Find the number of ways three letter "words" can be chosen from the alphabet if none of the letters can be repeated? Solution:  There are 26 ways of choosing the first lett

Limits, Limits The concept of a limit is fundamental in calculus....

Limits The concept of a limit is fundamental in calculus. Often, we are interested to know the behavior of f(x) as the independent variable x approaches some

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd