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

Find the equation of circle concentric – coordinate geometry, 1. A point P(...

1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2 2. If the pair of lines ax² + 2pxy

Free - undamped vibrations, It is the simplest case which we can consider. ...

It is the simplest case which we can consider. Unforced or free vibrations sense that F(t) = 0 and undamped vibrations implies that g = 0. Under this case the differential equation

What is the radius of the traffic circle, In traveling three-fourths of the...

In traveling three-fourths of the way around a traffic circle a car travels 0.228 mi.  What is the radius of the traffic circle? The radius of the traffic circle is ____ mi.

What is the value of the lesser integer, The sum of three times a greater i...

The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the greater equivalent the lesser. What is the value of the lesser integer? Let x =

Introduction to ones tens and more, INTRODUCTION :  We are often confronte...

INTRODUCTION :  We are often confronted with children not being able to deal with H T 0, i.e. 'hundreds', 'tens' and 'ones' (or 'units'), with comfort, though they are supposed to

Prove that prims algorithm produces a minimum spanning tree, Prove that Pri...

Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm

Critical points, Critical Point Definition : We say that x = c is a critic...

Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0        OR             f ′ (c

4th grade, Ray cut 6 pieces of rope . Each piece was between 67 and 84 inch...

Ray cut 6 pieces of rope . Each piece was between 67 and 84 inches long. What would be the total length of the 6 pieces of rope?

Diffrential integral , All the integrals below are understood in the sense ...

All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]

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