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How to Compose Math Problems
How I compose math problems
This unconventional approach encouraged his students (me and my classmates) to think creatively and critically, fostering a deeper understanding of the areas we were learning about. While the task was not mandatory, some classmates and I embraced the challenge and worked on developing geometry and algebra exercises from “scratch”. \[\frac{a}{b+2c+d}+\frac{b}{c+2d+a}+\frac{c}{d+2a+b}+\frac{d}{a+2b+c} \ge 1\] \[\forall a,b,c,d \gt 0.\] This is what I call an excellent problem, as it’s concise, a 12-year-old can understand the requirement, and moreover, it showcases a certain symmetry that pleases the eye that looks for patterns.
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