Different ways students can demonstrate their reasoning include:
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writing, especially about responses to tests and exercises
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drawing and sketching
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oral explanations (individual or group)
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the use of technologies (e.g. interactive whiteboard or website facilities, spreadsheet formulas, PowerPoint)
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showing how cases work
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posters and other forms of presentation that include evidence of thinking.
The activity Mungo Man Poster is an example of a poster.
The activity Writing about Similar Triangles is an example of how students can add written reflections to typical test responses.