Do you have ways of explaining or demonstrating maths (especially secondary maths) that are different from the technical explanation? I give a lot of one-to-one tuition in maths, and enjoy inventing my own questions, but I'm always looking for others.
A pupil told me how their teacher demonstrated the mundane topics of mean and standard deviation: a computer screen showing a large "count up" timer was placed on the teacher's desk, the pupils were told to close their eyes, to open them when they thought sixty seconds had passed, and to note the time. The mean and standard deviation were calculated. Then they did the experiment again, which showed a mean closer to sixty seconds, and a lower standard deviation, as the pupils got "better" at the task.
Of course, the above experiment wouldn't really work for a one-to-one lesson, but do you have inventive ways of explaining or demonstrating concepts (primary and secondary)?