Which of the following teaching aids allows students to manipulate objects for better understanding?

Models are teaching aids that allow students to handle and interact with physical representations of objects or systems. These hands-on manipulatives facilitate a deeper understanding by enabling students to see the dimensions and workings of what they are learning about in a tangible way. For example, a model of a fire truck can help students grasp its components and how they operate in real-life scenarios.

While other options like maps and illustrations can enhance understanding through visual representation, they do not provide the same level of interaction. Handouts can offer important information or summaries but lack the physical aspect that models provide. The key benefit of using models is their capability to bridge the gap between theoretical concepts and practical application, making complex subjects more accessible to students.