My teaching methods are highly visual since I have found that intuition for abstract subjects can be developed easily that way, I have adopted a ladder progression method used by Kumon to ease into increasingly complex topics. Personally I dislike leaving gaps in knowledge both in learning and teaching, so I try to give a good explanation in every step of the process. The structure I follow when going into a new topic is as follows.

First, an introduction to the topic most often with a question or a problem to be solved, this must be relatable to the student in a way that they might see themselves wanting to solve it or have encountered it before.

If the topic is big, an overview of everything that will be studied so that the aim and scope of the topic is not lost, following an ordered structure throughout the whole topic is important to keep the interest of the student.

Then, explaining the topic from the simplest case and increasing the complexity makes it so the student feels confident and comfortable when engaging in future problems.

Finally, allowing the student to work out ways to solve the initial problems using the tools developed so far, this helps gain a deeper understanding of the meaning of the topic.