One-to-one correspondence in learning maths, Mathematics

Assignment Help:

How does your answer to this question compare with mine, which follows?

i) To begin with, 1 laid the beads out in a row for counting, so that I wouldn't leave any out or count any of them twice. In other words, I placed them ii an order.

ii) Next, to count them I began reciting number names in the conventional counting sequence. I could do this because I know enough of them in that order, at least as many as the number of beads I was asked to count. While counting them, I touched each bead once (actually or mentally) as I said each number name, and left no bead untouched. This means that 1 paired one bead with one number name. In other words, 1 set up a one-to-one correspondence.

iii) At each stage of counting, I classified the beads into two groups'- those that had been counted, and those that were still to be counted.

iv) As I touched the tenth bead ( I had 10 beads altogether), I said 'ten'.

Seconds later 1 said that I have ten beads. This means that the label 'ten'. Which associated with the touching of the last bead, has changed its role and is now used to describe all the beads.

So, carried out four different processes to be able to count the number of beads - ordering, classifying, setting up a one-to-one correspondence and using a number name in two different ways.

But where do most of us begin when we introduce counting to children? We don't even bother to find out whether the child has the ability to sort and to order objects. And, regarding one-to-one correspondence, we just indicate once or twice to the child that each object should be touched only once in coding.

We don't give her enough time to understand or practise what this actually means. So we should not be surprised if a child, on being reprimanded for counting incorrectly, responds as Rani did:

"But what's wrong? You asked me to say 'one, two, three .... ' and touch these things the same time. So what if I can say till 20 as I touch them, and you can say only !ill I5 !"

The fourth step listed above is the most confusing of them all to a child. The following situation often arises in this context.


Related Discussions:- One-to-one correspondence in learning maths

difference between two sample means (large sample), Testing The Difference...

Testing The Difference Between Two Sample Means (Large Samples) A large sample is defined as one which have 30 or more items as n≥30 whereas n is the sample size In a busine

#According to the CDC there were 597, Ask question #Minimum 100 words acceA...

Ask question #Minimum 100 words acceAccording to the CDC there were 597,689 deaths in the US in 2010 attributed to heart disease. a) Given That the US population in 2010 was clos

Properties of radicals, If n is positive integer greater than 1 and a & b b...

If n is positive integer greater than 1 and a & b both are positive real numbers then, Consider that on occasion we can let a or b to be negative and yet have these propert

Find the value of the derivative, Given y = f(x) = x 2 + 2x +3 a) Use the ...

Given y = f(x) = x 2 + 2x +3 a) Use the definitional formula given below to find the derivative of the function. b) Find the value of the derivative at x = 3.

SHOPPERS`STOP, 3. How are Indian customers visiting Shoppers’ Stop any diff...

3. How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries? 4. How should Shoppers’ Stop develop its demand forecasts?

Área de un rectangulo, calcula el área de la región sombreada de un rectáng...

calcula el área de la región sombreada de un rectángulo cuya base es 12.6 cm y su altura es 8.4

Seriation to developing pre-number concepts, Seriation :  You have read ab...

Seriation :  You have read about a preschooler's ability to order. Ordering a set of objects means to arrange them in a sequence according to some rule. This arrangement could be

Trigonometry, can you explain it to me please

can you explain it to me please

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