Can two different pictures have the same short description?
Create two different pictures that share a count; then design a better description.
Count filled squares and compare row counts. Different pictures can share one or both summaries.
Cut these cards apart. Use the original example first, then let a partner supply a changed case. Keep sealed/final cards with the teacher until the learner commits a rule.
Picture name: diagonal
16 squares: 0 or 1: 1000010000100001
My prediction and reason:
Picture name: top row
16 squares: 0 or 1: 1111000000000000
My prediction and reason:
Picture name: corners
16 squares: 0 or 1: 1001000000001001
My prediction and reason:
A compact representation discards information; even row counts do not uniquely encode every image.