D) What is the place value sequence and why?

I personally felt that the sequence should be as below:

1. Numbers in numeral

2. Numbers in word

3. Place value chart

4. Numbers in tens and ones

5. Expanded Notation

I felt that the sequence should be above as it has to link to our curriculum from kindergarten to primary level.

In nursery, we start exposing children to numbers in numeral and then moved on to number words. Later in primary school, children are exposed to tens and ones. After knowing what is tens and ones, then place value chart will enhance their understanding and visualizing numbers in tens and ones. Last but not least, expanded notation is introduced last as it is merely in abstract form.

According to Bruner.J, children should learn through Concrete, Pictorial and Abstract approach which I anticipated the below related to his theory:


  1) Concrete - where numbers can be counted in real objects and match numeral with concrete materials

  2) Pictorial - where place value chart and counting in tens can be visualised easily.

  3) Abstract – Expanded notation required abstract thinking and numbers replacement which is the higher level
                       learning.

Jerome Bruner

"The language of education, if it is to be an invitation to reflection and culture creating, cannot be the so-called uncontaminated language of fact and 'objectivity'. It must express stance and must invite counter-stance, and in the process leave place for reflection, for meta-cognition. It is this that permits one to reach higher ground, this process of objectifying in language or image what one has thought and then turning around and re-considering it"
 
 
 
 
Some links to share:

• Maths learning activities by levels

   - http://www.ixl.com/math/grade/first/

• Place value magic

   - http://www.onlinemathlearning.com/place-value.html