SCAMPER is an acronym that stands for Substitute, Combine, Adapt, Modify, Put to Another Use, Eliminate, and Rearrange (Eberle 1972). Each word in the acronym is related to a question stem designed to prompt creative thinking about a given topic (Flannagan and Sawyer 2015). Using these question stems requires students to systematically think creatively about mathematical concepts, which offers promise for allowing students to see and appreciate mathematical connections. Teachers can use the SCAMPER framework to help students understand and appreciate rich mathematical connections in topics such as functions. The framework facilitates critical and creative thinking by allowing students to explore concepts through open mathematics. In this article, the author describes two activities that allow students to explore mathematical concepts in open and creative ways. The first activity involves a pre-defined series of questions that scaffold student learning, whereas the latter allows students to create their own function through creative modifications of function cards in a loosely structured format.