Week 3 EDME145

The CPA method where representation means using symbols and words

• Concrete

• Pictorial

• Abstract

• Virtual

Answer explanation

Abstract:

The abstract representation means using symbols and words, which in our case means using only numerals and other symbols.

A conceptual whole made up of parts

• Repeated addition 

• Composite unit

• Array

• Perceptual

A collection of items formed into a rectangular arrangement of rows and columns. Every row has an equal number of items and every column has an equal number of items. This is called an ....

Adding the same number (composite unit) again and again

• Repeated addition

• Stress counting

• Stable word order

• Times tables

When a student can count the objects whilst simultaneously performing a second count of the number of groups

• Repeated addition

• Abstract counting

• Double count

• Composite units

Answer explanation

Double Count:

The student can count the items inside each group while counting the groups.

This CPA method where the child can see, feel and move the objects that represent the concept, such as the number five

• Pictorial

• Virtual

• Abstract

• Concrete

Counting groups by ones, but placing an emphasis on the last number in the count

To be aware of something through the senses

• Array

• Perceptual

• Cardinal

• Composite

Answer explanation

Perceptual:

The child needs to be able to see, touch, feel etc. Has not yet moved to the abstract.

The CPA Method where representations can be used but the images are entirely static

• Concrete

• Abstract

• Pictorial

• Touchy

The semi-concrete CPA method, because you can move them around but they are not physical, so lie somewhere between the concrete and pictorial representations. 

• Mathspace

• Web browser

• Abstract

• Virtual