What they do
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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.
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| Also called: |
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Computational Mathematician, Computational Scientist, Cryptographer, Cryptographic Vulnerability Analyst, Image Scientist, Knowledge Engineer, Mathematician, Research Computing Specialist, Research Scientist, Researcher
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Wages
Wage rates not available for Vermont
but may be for the nation and other states at
CareerOneStop |
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Industries of Employment
| United States - 2020 |
| Industry | Percent of total |
- Federal government, excluding postal service
| 47% |
- Professional, scientific, and technical services
| 26% |
- Educational services; state, local, and private
| 18% |
| More at BLS |
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Knowledge
| People in this career often know a lot about: |
- Mathematics
Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
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- English Language
Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
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- Computers and Electronics
Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
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- Education and Training
Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.
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| More at O*NET |
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Skills
| People in this career often have these skills: |
- Mathematics
Using mathematics to solve problems.
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- Critical Thinking
Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions, or approaches to problems.
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- Complex Problem Solving
Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
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- Active Learning
Understanding the implications of new information for both current and future problem-solving and decision-making.
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- Reading Comprehension
Understanding written sentences and paragraphs in work-related documents.
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| More at O*NET |
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Interests
| People in this career often prefer these work environments: |
- Investigative
Investigative occupations frequently involve working with ideas, and require an extensive amount of thinking. These occupations can involve searching for facts and figuring out problems mentally.
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- Conventional
Conventional occupations frequently involve following set procedures and routines. These occupations can include working with data and details more than with ideas. Usually there is a clear line of authority to follow.
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- Artistic
Artistic occupations frequently involve working with forms, designs and patterns. They often require self-expression and the work can be done without following a clear set of rules.
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| What are your interests? Take the O*NET Interest Profiler |
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Work Styles
| People in this career will do well at jobs that need: |
- Analytical Thinking
Job requires analyzing information and using logic to address work-related issues and problems.
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- Attention to Detail
Job requires being careful about detail and thorough in completing work tasks.
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- Persistence
Job requires persistence in the face of obstacles.
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- Achievement/Effort
Job requires establishing and maintaining personally challenging achievement goals and exerting effort toward mastering tasks.
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- Innovation
Job requires creativity and alternative thinking to develop new ideas for and answers to work-related problems.
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| More at O*NET |
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Other Resources
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- CareerOneStop
resource for job seekers, students, businessess and career professionals
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- O*NET Online
nation's primary source of occupational information
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| Related Occupations
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| Career Video
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Projected Employment
Projected employment not available for Vermont
but may be for the nation and other states at
CareerOneStop |
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Education and Experience:
- Typical education needed for entry
Master's degree
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- Work experience in a related occupation
None
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- Typical on-the-job training needed to attain competency
None
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| Based on BLS Education and Training Classifications |
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Job Zone
| Extensive Preparation Needed |
- Specific Vocational Preparation Range
(8.0 and above) - A typical worker will require
over 4 years up to and including 10 years or more
of training to achieve average performance in this occupation.
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| Based on O*Net Job Zones and SVP |
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Education Level
| How much education do most people in this career have? |
| Education level |  | Percent of
U.S. Workers |
Doctoral or professional degree
or post-MA certificate | | 58% |
Master's degree or
post-BA certificate | | 33% |
| Bachelor's degree | | 8% |
| Associate's degree | | 0% |
Certificate or some college,
no degree | | 0% |
High school diploma
or equivalent | | 0% |
| Less than high school diploma | | 0% |
| More at O*NET |
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Abilities
| People in this career often have talent in: |
- Mathematical Reasoning
The ability to choose the right mathematical methods or formulas to solve a problem.
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- Number Facility
The ability to add, subtract, multiply, or divide quickly and correctly.
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- Deductive Reasoning
The ability to apply general rules to specific problems to produce answers that make sense.
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- Inductive Reasoning
The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
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- Information Ordering
The ability to arrange things or actions in a certain order or pattern according to a specific rule or set of rules (e.g., patterns of numbers, letters, words, pictures, mathematical operations).
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| More at O*NET |
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Work Activities
| In general, what you might do: |
- Analyzing Data or Information
Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
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- Making Decisions and Solving Problems
Analyzing information and evaluating results to choose the best solution and solve problems.
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- Processing Information
Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
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- Getting Information
Observing, receiving, and otherwise obtaining information from all relevant sources.
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- Thinking Creatively
Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
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| More at O*NET |
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Detailed Work Activities
| What you might do in a day: |
- Analyze data to identify trends or relationships among variables.
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- Prepare analytical reports.
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- Present research results to others.
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- Update knowledge about emerging industry or technology trends.
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- Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
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| More at O*NET |
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Tasks
| On the job, you would: |
- Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
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- Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
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- Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
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- Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
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- Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
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| More at O*NET |
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