What is a common error when teaching geometry to students?

Imagining and visualizing shapes in geometry can be quite challenging for many students, especially those who learn better through tactile or visual means. When educators assume that students will naturally visualize geometric concepts without the use of hands-on models or real-life examples, they may overlook the varied learning styles within the classroom. Utilizing physical shapes, manipulatives, or interactive software can greatly enhance students' understanding by allowing them to engage with the material in a more concrete way. This hands-on experience can bridge the gap between abstract concepts and tangible understanding, enabling students to form mental images of geometric relationships and properties. Providing opportunities for students to construct, measure, and explore shapes can ultimately lead to a deeper comprehension of the subject matter.