Hey everyone, I had another last minute cancellation and had the chance to observe Seb tutor his Year 12 Maths Extension student.
Seb was explaining and introducing the concept of vectors, providing definitions of identities and showcasing the use of vectors in shapes such as parallelograms. Using this, Seb was able to showcase how the diagonals of a parallelogram bisect each other, a fundamental aspect of vectors.
Seb was also able to explain the importance of midpoints in such parallelograms, and how they can be used to solve various forms of vector questions and expand critical thinking
Seb always allowed the students to ask questions on this difficult topic, who was able to gradually understand the concept of vectors gradually as Seb explained various concepts step by step. Seb also encouraged his student to debate his reasoning and question why such mathematical process occurred in this manner, allowing the student to further understand various concepts surrounding vectors. This included explaining complex formulas, as well as various terms and new symbols that are used in vectors.
Seb was able to expand this and show how to use vectors in other forms of Maths, continuously implementing midpoints and other forms of vectors into other forms of questions such as triangle. Seb encouraged his student to challenge himself and answer such questions, before correcting and building upon any errors and confusions the student had made. This allowed the student to critically think and further understand various concepts of vectors.
Overall, Seb was able to effectively provide quality explanations consistently to his students when introducing a new topic, and was able to challenge his student in solving such complex questions. I will look to implement his forms of tutoring into my work when with high school students, to provide effective and engaging tutoring.
Daniel Rulli
