O*NET-SOC 15-2021.00 · US REFERENCE
Mathematicians
Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields. Solve problems in various fields using mathematical methods.
Skill importance below is an O*NET US occupational rating, not a global or individual benchmark. No score here is a job-loss probability or a prediction.
Examples of work in this occupation
- Mentor others on mathematical techniques.
- Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
O*NET task statements describe US work; do not perform regulated or hazardous tasks without appropriate training and authorization.
Skills to examine first
Mathematics
US occupation importance: 5.00/5 · rating last updated 2025-08-01
Check a public numerical example, including units and assumptions; explain the result.
Critical Thinking
US occupation importance: 4.12/5 · rating last updated 2025-08-01
Compare two approaches to a fictional task and document one counterargument for each.
Reading Comprehension
US occupation importance: 4.00/5 · rating last updated 2025-08-01
Summarise a public, role-relevant document in five points; verify each point against the source.
Active Learning
US occupation importance: 4.00/5 · rating last updated 2025-08-01
Try one new method on a safe example and record what worked, failed and should change.
Writing
US occupation importance: 3.62/5 · rating last updated 2025-08-01
Draft a one-page explanation of a fictional decision for a non-specialist; ask for clarity feedback.
Science
US occupation importance: 3.62/5 · rating last updated 2025-08-01
Turn a fictional claim into a testable question; list evidence that would change your view.
These prompts are RolePaths practice suggestions, not O*NET instructions, training or certification.
Related work to compare
O*NET marks these occupations as related. That is a comparison starting point, not a guaranteed career transition. Check local licensing and entry requirements.
Your next seven days
- Choose one skill above and a fictional or non-confidential work example.
- Practise for 20 minutes on three days; keep one small output.
- Ask a qualified peer for feedback against clear criteria.
- Reassess the same career and record what changed.
Source and limits
Occupation definition, task examples, skill importance and related-occupation links come from the US O*NET 31.0 Database. RolePaths selected the top six skills by importance and authored the practice prompts. Career fit, local salaries, automation timing and licensing have not been verified.