The Book Shelf
Problem Solving
novice
Problem Solving Rationale
<p>The student's strategy of only diagramming eight books for Ryan and six books for Zak would not work to solve the task. The student is not able to state a mathematical answer.</p>
Reasoning and Proof
apprentice
Reasoning Proof Rationale
<p>The student shows some correct conceptual reasoning. The student correctly indicates a set of eight books and a set of six books. The student is not able to compare the two amounts to determine which boy puts a greater number of books on the book shelf.</p>
Communication Level
novice
Communication Rationale
<p>The student does not use any mathematical terms.</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 works to solve part of the task but the student is not able to apply the diagram to communicate that Ryan puts a greater number of books on the book shelf.</p>

