## Area Quantity Recognizer

Perceives the amount of two-dimensional space and can make intuitive comparisons. However, when asked to compare, may compare lengths more than areas because lengths are salient and familiar to them (e.g., compare one side of one piece of paper to the side of another) or make estimates based on a “length plus (not times) width” intuition. However, may compare areas correctly if the task suggestions superposition (putting one on top of the other). Asked to partition a space into squares or copy an image of a rectangle partitioned into an array (rows and columns), may simply draw squares (usually!) inside the rectangle or other types of shapes or short paths on or around the rectangle.

### Other Examples:

• Asked which rectangular "candy" is the "same amount" as a bar 4 cm by 5 cm, one child chooses the 4 by 8 matching the sides of the same length. Another child chooses 2 by 7, intuitively summing the side lengths.
• Given square tiles and asked how many fit in a 4 by 5 area, child guesses 15.
• A child places one sheet of paper over the other and says, "This one is bigger."
• Measures area with ruler, measuring a length, then moving the ruler and measuring that length again, apparently treating length as a 2D space-filling attribute.