Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Cheating
Is this evidence of cheating?
Key to understanding lies in the teachers' scoring instructions. "Double-check any paper that is within 3-5 points below passing."
Graphicacy:
Graphicacy is the ability to read or create a visual (usually in graph form); the visual must communicate well with the reader. Generally, if it takes the reader more than a few seconds to figure out what's going on, it's a bad diagram or graph.
INTERPRET THE VISUAL. What is it saying? What point is it trying to make?
Is this visual distorted or misleading? Could quick interpretations of it jump to wrong conclusions? If so, what incorrect conclusions might be drawn? How is it communicating badly: what normal assumptions and expectations does this graph contradict? What errors did the creator make?
Would you change or fix the graph? If so, how would you change it? Do you think this visual was drawn this way on purpose, or is this a mistake or just a matter of incompetence? Is this the best type of graph/visual for this data?
Certain schools used different definitions of passing. Did not look at passing scores, so the 'corrected' ones were possibly pushed up two or three points, introducing the gap and the extra scores of 65 -- because scorers didn't look any further when the student received enough 'corrections' to pass.
Graphicacy (a variation of the words "Literacy" and "Numeracy") means the ability to read and understand the visual representation of data and ideas. Most commonly, we are interpreting bar charts, pie charts, scatterplots and other data representations, but the rise in the use of infographics has meant that Math teachers must teach this new literacy.
The second aspect of graphicacy is the identification and correction of bad graphics that push a distorted interpretation of the data. Often for political purposes, the promotion of deliberately incorrect or distorted graphs can be damaging to the country, to democracy, or to the health and well-being of the reader. In the words of Mark Twain, "There are three ways to lie. Lies, Damned Lies, and Statistics."
The quintessential Bad Graph: Gun Deaths in Florida
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