The Book Shelf
Overall Achievement Level:
apprenticeStudent Number:
1Problem Solving
practitioner
Problem Solving Rationale
<p>The student's strategy of diagraming eight and six books works to solve the task. The student's answer, "I made 8 and I made 6 and 8 is bigger so it is yes," is correct.</p>
Reasoning and Proof
practitioner
Reasoning Proof Rationale
<p>The student shows understanding of the underlying mathematical concepts of the task. The student correctly shows a set of eight and a set of six. The student compares the two groups to determine that "8 is bigger."</p>
Communication Level
apprentice
Communication Rationale
<p>The student correctly uses the mathematical term <i>diagram</i>.</p>
Connections Level
novice
Connections RationaleThe Book Shelf
<p>The student does not make a mathematically relevant observation about their solution.</p>
Representation
apprentice
Representation Rationale
<p>The student's diagram of eight books and six books is appropriate but not accurate. The student does not label Ryan or Zak and does not label the books.</p>

