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

Simultaneous equations by substitution, Simultaneous equations by substitut...

Simultaneous equations by substitution: Solve the subsequent simultaneous equations by substitution. 3x + 4y = 6      5x + 3y = -1 Solution: Solve for x: 3x = 6

Hyperboloid of two sheets - three dimensional spaces, Hyperboloid of Two Sh...

Hyperboloid of Two Sheets The equation which is given here is the equation of a hyperboloid of two sheets. - x 2 /a 2 - y 2 / b 2 + z 2 /c 2 = 1 Here is a diagram of

Index shift - sequences and series, Index Shift - Sequences and Series ...

Index Shift - Sequences and Series The main idea behind index shifts is to start a series at a dissimilar value for whatever the reason (and yes, there are legitimate reasons

Precalulus, Solve the equation for exact solutions over the interval [o,2Pi...

Solve the equation for exact solutions over the interval [o,2Pi] 2 sec x + 1 = sec x + 3 Some one please help!!!

Example of elps maths learning, Do you agree with the necessity of the sequ...

Do you agree with the necessity of the sequencing E - L - P - S for learning? If not, then what do you suggest as an alternative path for understanding and internalising mathematic

Mdm4uc, The number of hours spent studying and achievement on an exam

The number of hours spent studying and achievement on an exam

Number theory, formula for non negative solutions integral

formula for non negative solutions integral

More optimization problems, More Optimization Problems Example   A w...

More Optimization Problems Example   A window is being built in which the bottom is rectangle and the top is a semicircle. If there framing materials is 12 meters what have

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