Which classroom outcome is associated with open-ended problems?

Concept: A problem is called open-ended when it admits more than one legitimate path to a solution, and often more than one defensible answer. Because no route is prescribed by the task itself, the learner has to build a strategy, weigh the alternatives and justify the choice made. Mental activity of that kind sits in the upper tiers of Bloom's taxonomy — analysing, evaluating and creating — and those tiers together are what is meant by higher-order thinking.

Application: The item asks what a classroom that regularly sets open-ended problems produces in its learners. Since such a task prescribes no single route, and often admits more than one defensible answer, each learner must think of possible approaches, test them against the situation and defend the one selected; repeated practice of that cycle strengthens analysis, evaluation and creation. The outcome associated with open-ended problems is therefore the development of higher-order thinking.

Cross-check: The three remaining outcomes named in this item are what closed, convergent tasks produce, so none of them follows from open-endedness:

• Uniform answers produced by all learners is possible when the task prescribes one route and fixes the acceptable response in advance — the prescribed-route condition that open-endedness removes.

• Dependence on teacher-provided solutions arises when the method is supplied before the learner attempts the task, so the learner waits for it instead of constructing one.

• Mechanical application of taught procedures arises from drill on one worked algorithm, where no judgement about which method to use is called for.

Result: Open-ended problems are associated with the development of higher-order thinking.