15-2021.00 · Learning planner
Mathematicians: a task-based learning plan
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.
Explore the complete task inventory first →
Understand the profile before choosing priorities
The table shows the ten highest importance ratings among 29 skills with usable ratings. Skills tied on importance can share a rank. Importance (1–5) and level (0–7) describe different dimensions. A level of 4 is not 4/7 of a course, and neither scale is your personal score. Source dates refer to the underlying rating, not the database release date.
| Skill | Importance / 5 | Level / 7 | Rating date |
|---|---|---|---|
| Mathematics | 5.00 | 6.00 | 08/2025 · Analyst |
| Critical Thinking | 4.12 | 5.00 | 08/2025 · Analyst |
| Active Learning | 4.00 | 5.12 | 08/2025 · Analyst |
| Reading Comprehension | 4.00 | 5.00 | 08/2025 · Analyst |
| Complex Problem Solving | 4.00 | 4.88 | 08/2025 · Analyst |
| Judgment and Decision Making | 3.75 | 4.00 | 08/2025 · Analyst |
| Writing | 3.62 | 4.62 | 08/2025 · Analyst |
| Science | 3.62 | 4.50 | 08/2025 · Analyst |
| Active Listening | 3.38 | 4.00 | 08/2025 · Analyst |
| Speaking | 3.25 | 4.00 | 08/2025 · Analyst |
Anchor the plan in an actual task
Choose one reported task you want to understand better. Then choose one to three skills and describe an appropriate learning activity, evidence you will review and a date. For practical work requiring authorization, choose relevant coursework, observation or supervised training.
Mathematics
Using mathematics to solve problems.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 6: Develop a mathematical model to simulate and resolve an engineering problem
Level 4: Calculate the square footage of a new home under construction
Which quantities, units, denominator and rounding rules would need an explicit check?
Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions, or approaches to problems.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Evaluate customer complaints and determine appropriate responses
Level 6: Write legal brief challenging a federal law
What assumption could change your conclusion, and what evidence would you check first?
Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 6: Identify the implications of a new scientific theory for product design
Level 4: Determine the impact of new menu changes on a restaurant's purchasing requirements
What new information would change your approach, and how would you record the change?
Reading Comprehension
Understanding written sentences and paragraphs in work-related documents.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Understand an email from management describing new personnel policies
Level 6: Read a scientific journal article describing surgical procedures
Which instruction, constraint or exception in a document would you need to explain accurately?
Complex Problem Solving
Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Redesign a floor layout to take advantage of new manufacturing techniques
Level 6: Develop a plan to provide emergency relief for a major metropolitan area
How would you separate the problem into parts and compare possible explanations?
Judgment and Decision Making
Considering the relative costs and benefits of potential actions to choose the most appropriate one.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Evaluate a loan application for degree of risk
Level 2: Decide how scheduling a break will affect work flow
Which options, constraints and consequences would you compare, and what could change the choice?
Writing
Communicating effectively in writing as appropriate for the needs of the audience.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Write an email to staff outlining new directives
Level 6: Write a novel for publication
What document would another person need, and how would you check that they could act on it?
Science
Using scientific rules and methods to solve problems.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Conduct product tests to ensure safety standards are met
Level 6: Analyze aerodynamic systems to determine the practicality of a design
What observation or comparison would help you test an explanation, and what would remain uncertain?
Active Listening
Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Answer inquiries regarding credit references
Level 2: Take a customer's order
What would you ask the other person to clarify, and how would you confirm you understood?
Speaking
Talking to others to convey information effectively.
Read the scale examples
These generic examples illustrate the level scale. They are not required activities for mathematicians.
Level 4: Interview applicants to obtain personal and work history
Level 2: Greet tourists and explain tourist attractions
How would you explain the task, audience needs and next step in a short conversation?
Review the result
Your plan should explain why the selected skills matter for your chosen task, what you will do next and what evidence you will examine. Revisit the plan after that activity. Completing a worksheet or matching an occupation’s ratings does not establish professional competence.
Keep your worksheet
Download before leaving this page. Unsaved writing remains only in the page and is cleared on refresh. Notes and learning actions are not sent to a server. This guide describes an occupation and supports study planning; it does not provide clinical, legal or equipment-operating procedures.
Source and practice material
Occupational context uses the O*NET® 31.0 Database from the U.S. Department of Labor, Employment and Training Administration, under CC BY 4.0. View the occupation.
Skill Workbench selected and adapted the occupational information and added its own fictional cases, calculations, guidance and worksheets. USDOL/ETA has not approved, endorsed or tested these additions. O*NET® is a trademark of USDOL/ETA.