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

Subjective probability, Subjective Probability Probability may be de...

Subjective Probability Probability may be determined by a personal statement of how likely an outcome is in a single trial or repetition of the same experiment. Since sub

Solution of linear equation, Solution of Linear Equation How to solve ...

Solution of Linear Equation How to solve a linear equation? Please assist me.

Invariant lines, What lines are invariant under the transformation [(103)(0...

What lines are invariant under the transformation [(103)(01-4)(001)]? I do not know where to even begin to solve this. Please help!!

Two consecutive positive integers whose product is 90, What is the lesser o...

What is the lesser of two consecutive positive integers whose product is 90? Let x = the lesser integer and let x + 1 = the greater integer. Because product is a key word for m

Evaluate the area of the shaded region, Evaluate the area of the shaded reg...

Evaluate the area of the shaded region in terms of π. a. 8 - 4π b. 16 - 4π c. 16 - 2π d. 2π- 16 b. The area of the shaded region is same to the area of the squa

Shares and dividends, to use newspaperto study and report on shares and div...

to use newspaperto study and report on shares and dividend

Solving decimal equations, The distance around a square photograph is 12.8 ...

The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?

Real analysis, Let {An} be sequence of real numbers. Define a set S by: S={...

Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai

Calculus level 2, the first question should be done using the website given...

the first question should be done using the website given (www.desmos.com/calculator )and another good example to explain using the graph ( https://www.desmos.com/calculator/ydimzr

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