Resumen de Investigation on inscribed circles: one, two, three, four, infinitely many

Victor Oxman, Moshe Stupel

• The paper presents a problem that has all the components that make it usable as a research problem for both high school students and in training mathematics teachers at teacher training colleges and universities.

  The problem contains various geometric curves and shapes:

  squares, circles, sectors, segments, parabola. It can be developed in stages, asking additional questions that, on the one hand, increase the level of complexity, and on the other hand, reveal the beauty of mathematics.