The Art and Craft of Problem Design

The Art and Craft of Problem Design

Explore the intricacies of crafting mathematical problems in this 51-minute MAA Invited Address from the Joint Mathematics Meetings 2020. Delve into Mohamed Omar's insights on problem design, covering topics such as concrete problem formulation, grading considerations, and incorporating multiple perspectives. Learn about multistep problem construction, arithmetic progression, and factor identification. Discover the research values behind problem creation and explore advanced concepts like convex sets, coding theory, and combinatorics. Gain valuable knowledge on building effective questions, including the Minkowski sum, and understand how to create engaging mathematical challenges for learners and researchers alike.