Discuss critically how the uses of models help children grasp concepts of multiplication and division?

Question

Discuss critically how the uses of models help children grasp concepts of multiplication and division?

Answer 1

to teach concepts of multiplication etc you don't need  to use only models but you can do this-

you can make them do practical work like-

bring erasers, sharpeners, pencils, papers etc and make a model stationary store with those and you will go and you will act as if you are buying and you will tell them to calculate how much you bought

Answer 2

Students must first learn repeated addition and grouping as a foundation to multiplication.  Have them group items and count them.  Suggest they can count them by repeated addition, or skip counting.  Say "I can count all the pennies by first grouping them into 10s.  I can now count them by 10s or 10 + 10 + 10.  So three groups of 10s equal 30 or 3x10=30."

Now have them practice their multiplication table (not memorize, but practice).  The difference, the students understand the relationship rather just rote memorization.  Here are the rules, you can also create your own based on what you feel is best.

I also teach in this order:

0 times: all answers are 0 because there are no groups

1 times: all answers equal the original number (1 group)

10 times: move the number one 'place value' to the left.  I don't like to say place a 0 to the right.

2 times: double the number

4 times: double and double

8 times: double, double and double

5 times: times 10 then take half.  By learning 5x this way, students can quickly determine larger numbers such as 5x14 = 140/2 = 70.  Skip counting by 5s limits their knowledge to smaller numbers.  Since they're good with doubling by now, half is just the inverse.

3 times: double then add once.  also teach that the sum of all digits of 3x is a multiple of 3 (for quick check)

6 times: 3x then double

9 times: times 10 and subtract once.  So 13x9 = (130-13) = 117  By now, my students know how to subtract by clustering.  130-10 then -3 to equal 117.  Also, sum of digits is a multiple of 9.

7 times: teach this last.  When multiplying by 7, use the rule of the other product, so 6x7 tripple then double the 7.  Therefore the students really only need to know 7x7.  But also understand that 7x is just one more group than 6x or one less than 8x.

11 times: double the digits (single digits).  10x and add once.

Once they've gotten multiplication down, division is a breeze.