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n my teaching approach, I prioritize interactive and student-centered learning, encouraging students to explore concepts through guided discussions and critical thinking.
For instance, when discussing the concept of averages, I would pose a question to stimulate thought and debate:
Me: “Which group of students is taller? Why?”
Student A: “Group A, because it has the tallest person.”
Student B: “Group B, because it has fewer short people.”
Student C: “Group C, because the mean is higher.”
After facilitating a discussion where students collectively agree that Group C is the tallest, I would delve deeper into their understanding:
Me: “Why do you believe the ‘mean’ provides the best representation for the entire group?”
Student: “Isn’t the mean the most effective way to express an average?”
Me: “Why does the equation for the mean accurately represent an average?”
Through this questioning phase, I guide my students to unravel the intricate connections between mathematics and the real world, fostering a deeper comprehension of mathematical principles and their applications