Which technology would allow students to physically manipulate and explore three-dimensional shapes?

The correct choice is visual media, as it encompasses various interactive formats such as 3D modeling software, simulations, and augmented reality applications that enable students to engage with three-dimensional shapes physically. This technology provides a dynamic way for learners to manipulate shapes, rotate them, and view them from different angles, fostering a deeper understanding of spatial relationships and geometric concepts.

Through visual media, students can explore the properties of three-dimensional figures, observe how they interact in space, and experiment with transformations such as rotation and scaling. Engaging with these tools allows for experiential learning, where students can test hypotheses and discover geometric principles hands-on, which is vital in enhancing comprehension in mathematics.

Textbooks primarily provide static images and descriptions and do not offer the same level of interaction or manipulation. Online quizzes and lecture presentations are primarily assessment and delivery methods that do not focus on physical engagement with shapes, limiting the exploration aspect. Thus, visual media stands out as the most effective technology for allowing students to manipulate and explore three-dimensional shapes.