Which method involves engaging clients to explore what they would like to change to achieve their goals?

The miracle question is a technique often used in solution-focused brief therapy, where clients are prompted to imagine a scenario in which their problems have been resolved and their desired goals have been achieved. This method encourages clients to articulate their aspirations and the changes they wish to see in their lives. By envisioning a future without their current challenges, clients can identify clear goals and the steps necessary to move toward them. This process not only fosters clarity about their desires but also ignites motivation and hope, making it an effective tool for practitioners seeking to engage clients in meaningful change.

The other methods mentioned each play different roles within therapy or social work practice. Visioning, for example, focuses on creating a clear mental image of future aspirations but may not involve the same direct engagement with exploring change as the miracle question does. Exploration, while relevant, refers more generally to the process of discussing and understanding a client's situation rather than specifically prompting them to envision changes. Problem-solving is a structured approach to addressing issues but does not necessarily invite clients to engage in creative envisioning of ideal outcomes, which is the unique strength of the miracle question.