Table 3.
Example of identification of measurable subcomponents that constitute a competency, in this case applying quantitative reasoning and appropriate mathematics to describe or explain phenomena in the natural worlda
| Multirepresentational competency is a component of quantitative reasoning that involves the ability to reason about complex phenomena using a variety of different modalities, such as diagrams, equations, graphs, and verbal descriptions. To demonstrate multirepresentational competency, a student should be able to: |
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| 1. Create a graph of various physical variables as a function of time or space from a description of a physical phenomenon and be able to describe what is happening physically from a graph. |
| 2. Create the graph of the derivative of a variable from the graph of that variable and vice versa. |
| 3. Look at an equation and be able to describe in words what it means for a physical system. |
| 4. See the value of drawing a figure or diagram for the understanding of a physical situation or for solving a problem. |
| 5. Decide which factors are relevant to include in a diagram and which are superfluous (cartooning). |
aSFFP competency E1 and MCAT2015 scientific inquiry and reasoning skill 1.