What it takes to solve math’s toughest problems

Research from the Harvard Graduate School of Education indicates that solving complex mathematical problems requires not only strong logical skills but also the simultaneous presence of two seemingly contradictory traits: confidence and humility.

Why it matters

This insight highlights that effective problem-solving, particularly for complex challenges, extends beyond technical aptitude to encompass critical psychological and behavioral attributes. Understanding and fostering these traits can significantly enhance an individual's or team's capacity to navigate and resolve difficult strategic and operational issues.

Key insights

• Successful resolution of challenging mathematical problems is attributed to a combination of logical proficiency.
• The analysis identifies confidence as a key attribute for tackling difficult problems.
• Humility is also cited as an essential, co-existing trait for problem-solvers.

Source

Harvard Graduate School of Education — https://news.harvard.edu/gazette/story/2026/09/what-it-takes-to-solve-maths-toughest-problems/