One significant tutoring that I have been working on improving is using simple concepts to explain more complex ideas. For example, when explaining how to add fractions containing algebra, I ask the student to explain how they would add normal fractions (not containing any algebra) and write down the theory and the steps that they took. Using what they have explained, I simply add on the additional layer which helps them to problem solve and make connections about the reason behind the processes.
Similarly, I have been working on using analogies that my students would use in their everyday life. For example, when explaining how to subtract two negatives or how to move along the number line, I will say something like ‘It is currently negative 2 degrees and tomorrow it will be 3 degrees colder, what temperature will it be?” since sometimes this is an easier way for students to visualise the situation. Once they understand, I will explain it by going back to the number line and explain how to move along it.
Essentially, I have found it highly useful to lead the student to explain the step below what they wish to learn, and then help them to make the connections on how to get to the next step based on their previous knowledge. I find that this allows for a deeper understanding of the topic and allows it to stick in their mind more as they are not rote-learning.
Riva Burkett