During my observation of Demi’s tutoring session, I noted her engaging approach as she guided her student through calculations involving the area and circumference of a circle and sectors. Demi’s teaching method was interactive and structured, allowing her student to gradually build confidence with these fundamental concepts of geometry.
Demi began by introducing the formulas for the area and circumference of a circle. She carefully explained each component—specifically the radius, diameter, and pi. To ensure her student understood, she walked through example problems, demonstrating step-by-step calculations. Throughout, she encouraged the student to actively participate by identifying key components of each problem, such as the radius or diameter, before applying them to the formula.
As they progressed to sector-related problems, Demi introduced the formula for calculating the area of a sector, A = θ/360 * pi * r^2. She also provided a more familiar approach using degrees, explaining that sector area is a fraction of the circle’s total area, with the angle determining this fraction.
Demi concluded by assigning practice questions, allowing the student to apply what she learned independently. When errors arose, Demi used them as learning moments, and provided supportive feedback. Overall, Demi’s session demonstrated effective teaching techniques that promote comprehension, engagement, and skill-building in mathematical concepts. Her structured yet adaptive approach highlighted her ability to tailor her methods to the students needs.
Joseph Taouk
