One of the many benefits of teaching mathematics is having the opportunity to encounter unexpected mathematical connections while planning lessons or exploring ideas with students and colleagues. Consider the two problems in figure 1.

Contributor Notes

Lee Melvin Peralta,, teaches at Louis Pasteur Middle School in Little Neck, New York. He is interested in the development of student agency and identity in mathematics classrooms and enjoys collaborating with others on rich, mathematical problems.

(Corresponding author is Peralta
The Mathematics Teacher


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