👉 Mathematical incidents refer to unexpected or surprising occurrences that challenge students' existing understanding of mathematical concepts, often leading to deeper insights and a more profound grasp of the subject. These incidents can arise from real-world applications, interactive activities, or novel problem-solving strategies that defy conventional wisdom. For example, a student might initially believe that the sum of two odd numbers is always even, but discovering through an experiment or a visual representation that the sum of three odd numbers is always even can profoundly alter their understanding. Such moments encourage critical thinking, foster curiosity, and highlight the dynamic, evolving nature of mathematical knowledge.