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.
Overview
Syllabus
Introduction
Overview
Concrete Problem
Ease of Grading
Multiple Perspectives
Multistep Problem
Third Descent
Arithmetic Progression
Finding the Factor
Recap
Research
Research Values
Convex Sets
When is a Code
The Mansion Question
How Do You Count
Building Questions
Minkowski Sum
Questions
Taught by
Joint Mathematics Meetings
