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Pedagogical Processes
for Subtraction in
Foundational Years
Write a story
problem for 12-3.
01 There are 12 birds sitting on a fence. Then 5 fly away. How many are still
on the fence?
02 There are 12 trees in a forest and an elephant knocks over 3 of them. How
many trees are left standing?
03 I had 12 chocolates and ate 3 of them. How many are left for tomorrow?
1. Partitioning and Taking Away
12-3 =
( Money, liquid, Mass, etc)
01 I had Rs. 12 and I spent Rs. 3. How many rupees are left with me?
02 There were 12 liters of milk in my jug. We drank 3 liters. How much milk is
left in my jug now?
03 We had 12 kg of compost, but we have used 3 kg How much compost do
we have left?
If my friend is 12 and his brother is 3
how older is he?
How will this be represented by using concrete experience?
How much older?
How much younger?
What is the difference in their ages?
2. Comparison
The language of Comparison
A > B is the equivalent to B<A
Twelve is nine more than three
Three is nine less than twelve
There were 12 soldiers 3 were ill.
How many were not ill?
How will this be represented by using concrete experience?
3. The complement of Set
The language of Complement of set
How many
are not?
The price of chocolate is Rs. 12.
Shopkeeper gave Rs. 3 off. What is
the revised cost of the chocolate?
How will this be represented by using concrete
experience?
Count back 3
4. Reduction or counting back
The language of Reduction or
counting back?
Twelve then three less
Twelve then Count back three
How many years does it take for 3
year old John to become a 12 year
old?
What must be added to 3 to make 12?
12-3 =
3+ = 12
5. The Inverse of Addition
How will this be represented by using concrete
experience?
?
The language of Inverse of Addition?
More
Gone up
I have Rs 28. I want to buy a ball of Rs. 35. How much more do I need?
Subtraction Structures
A > B is the equivalent to B<A
Twelve is nine more than three
Three is nine less than twelve
Overemphasis of ‘Take away’
12 take away 3
Twelve is nine more than three
Difference between How much more
Twelve count back three
Six subtract negative three
If you start at -3, What do you add to
get 6?
6-(-3) =
To sum up
Building network of connections between the symbols and various
structures - partitioning, comparison, complement of a set, counting
back/reducing, inverse of addition
use these with a range of concrete and real situations, such as sets of
objects, coins, prices, lengths, ages
experience various subtraction procedures using the picture of number in
the number line
then connect all this with the language of subtraction, both the formal word
'subtract and the range of language appropriate to the various actual
physical situations
Prepared by
Ranajit Kondhare, TA,
ZIET, Chandigarh

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Pedagogical Processes for Subtraction.pptx

  • 3. 01 There are 12 birds sitting on a fence. Then 5 fly away. How many are still on the fence? 02 There are 12 trees in a forest and an elephant knocks over 3 of them. How many trees are left standing? 03 I had 12 chocolates and ate 3 of them. How many are left for tomorrow?
  • 4. 1. Partitioning and Taking Away 12-3 =
  • 5. ( Money, liquid, Mass, etc) 01 I had Rs. 12 and I spent Rs. 3. How many rupees are left with me? 02 There were 12 liters of milk in my jug. We drank 3 liters. How much milk is left in my jug now? 03 We had 12 kg of compost, but we have used 3 kg How much compost do we have left?
  • 6. If my friend is 12 and his brother is 3 how older is he? How will this be represented by using concrete experience?
  • 7. How much older? How much younger? What is the difference in their ages? 2. Comparison
  • 8. The language of Comparison A > B is the equivalent to B<A Twelve is nine more than three Three is nine less than twelve
  • 9. There were 12 soldiers 3 were ill. How many were not ill? How will this be represented by using concrete experience?
  • 11. The language of Complement of set How many are not?
  • 12. The price of chocolate is Rs. 12. Shopkeeper gave Rs. 3 off. What is the revised cost of the chocolate? How will this be represented by using concrete experience?
  • 13. Count back 3 4. Reduction or counting back
  • 14. The language of Reduction or counting back? Twelve then three less Twelve then Count back three
  • 15. How many years does it take for 3 year old John to become a 12 year old? What must be added to 3 to make 12? 12-3 = 3+ = 12
  • 16. 5. The Inverse of Addition How will this be represented by using concrete experience? ?
  • 17. The language of Inverse of Addition? More Gone up I have Rs 28. I want to buy a ball of Rs. 35. How much more do I need?
  • 18. Subtraction Structures A > B is the equivalent to B<A Twelve is nine more than three Three is nine less than twelve
  • 19. Overemphasis of ‘Take away’ 12 take away 3 Twelve is nine more than three Difference between How much more Twelve count back three
  • 20. Six subtract negative three If you start at -3, What do you add to get 6? 6-(-3) =
  • 21. To sum up Building network of connections between the symbols and various structures - partitioning, comparison, complement of a set, counting back/reducing, inverse of addition use these with a range of concrete and real situations, such as sets of objects, coins, prices, lengths, ages experience various subtraction procedures using the picture of number in the number line then connect all this with the language of subtraction, both the formal word 'subtract and the range of language appropriate to the various actual physical situations
  • 22. Prepared by Ranajit Kondhare, TA, ZIET, Chandigarh