There are four stages in choosing and using media examples to challenge unquestioning beliefs. You can download the slide presentation Statistical Literacy: Using the Media which explains the four stages in more detail.
Choosing the example
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What opportunity does the example offer for understanding and applying the statistics involved?
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Will the concept be recognisable?
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Will it be of interest to the students?
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Does it allow for critical thinking?
Planning its use
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What prerequisite knowledge is needed?
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How long should the activity take?
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What is expected of the students?
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What questions will students ask?
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How much help should be given?
Implementing it in the classroom
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Be flexible.
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Allow for short cuts.
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Try to avoid direct questions to get to critical thinking.
Reflecting on the experience
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Will the example be used again?
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How could it be adapted?
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What other examples could be used?
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Did students achieve the desired outcomes?
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Were they motivated by the context?