
Late October Hungry Ants Picture Problem

April Presents & Parcels Picture Problem

June Toy Store Picture Problem
Like
many (but certainly not all) second graders, this student started
and ended the year as a counter. He drew and counted marks of some
sort to solve all three problems. The big change is that by June he
is working in chunks of 100’s, 10’s, and 1’s instead
of counting individual tally marks or packages.
His
diagrams became more abstract as the year progressed. In October,
he drew all 6 ants in question, making 6 legs for each and then counted
them all by 1’s. In April he used tiny squares (units) to represent
the presents children bought. By June he moved to quicker, more schematic
sketches. He is also quite careful to label his diagrams in April and
in June, marking them as 1’s, 10’s, or 100’s.
The student was able to explain his work using words from the very
beginning, but his writing and explanation became fuller as the year
progressed; he told a more complete story each time.
While it is clear that he solved all three problems with pictures rather
than numbers, he was able to write number sentences to accompany his
sketches and words in the later part of the year.