Saturday 2 April 2016

Week 2 - Subtraction

Concept, Skills and Strategies

Subtraction is where you start with a large total amount and then some part was removed from it.
The concept is introduced using 'cover-ups' which models 2 parts and then remove one part from the total and what is the part remaining?4 There are 3 types of subtraction that stem from the concept of subtraction these include:
  • Take away - know the total and how many are taken away
  • Difference or comparison - comparing amounts 
  • Missing addened - one of the addends are missing 4
We can use MAB blocks to demonstrate the skills just like addition except start with the larger number and then subtract the smaller number from it. 

The same strategies that are used in addition are used in subtraction but in the reverse; count-back, halves, 10's 3

Language Model
We need to teach subtraction using the developmental model so that the children understand the concrete material and make their way up using materials and language to get to the symbolic stage4.


Teaching Strategy - Resource 

 Large children books are an excellent resource to introduce concepts of mathematics. It allows the children to use lifelike situations and allows them to count and understand the concept of subtraction and taking away something to show how many are left.



Misconceptions
There are many misconceptions similar to addition, the children need to understand the language used for subtraction therefore before moving onto symbolic language you need to make sure they understand the concept2.


ACARA
The earliest year level where subtraction is introduced in the curriculum is year 1:
1

References 
1   Australian Curriculum and Assessment Reporting Authority. (2014). Foundation to Year 10 Curriculum: Mathematics. Retrieved from http://www.australiancurriculum.edu.au/mathematics/curriculum/f-10?layout=1#cdcode=ACMNA004&level=F 

2   Harris, Andrew. (2000) Addition and Subtraction  Retrieved from http://ictedusrv.cumbria.ac.uk/maths/pgdl/unit5/A&S.pdf

3   Reys, R., Lindquist, M., Lambdin, D., Smith, N., Rogers, A., Falle, J., Frid, S., & Bennett, S. (2012). Helping children learn Mathematics (1st Australian ed.). Milton: John Wiley & Sons. 

4   Week 2 lecture

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