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Sorting and classifying are important developmental tasks appropriate to students of all ages, beginning as early as kindergarten.
In addition, students have to choose which question to ask to find the secret button. This engages them in using the process of elimination to keep track of their progressan important problem-solving strategy.
With reading help provided as needed, this activity is accessible to anyone who can point and click a mouse. The youngest children may not have the experience, or the desire, to try to ask fewer questions. This is irrelevant.
You can also think of this activity as an exercise in taxonomy. You are teaching a classification scheme, specifically for buttons. If you have a biology or outdoor education program in which students use a "tree finder" or a similar classification guide, you can point out its similarities to this activity. You can even have students name the "species" of buttons and make a classification guide of their own. Students will find that different groups can make distinct but equally valid schemes for classifying buttons.
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