Data & Research
 
* ELMI Occupation Profile - Mathematicians *
 
Mathematicians
(O*NET 15-2021.00, SOC 15-2021)
What they do
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.
 
Also called:
Computational Mathematician, Computational Scientist, Cryptographer, Cryptographic Vulnerability Analyst, Image Scientist, Knowledge Engineer, Mathematician, Research Computing Specialist, Research Scientist, Researcher
 
 
Wages
Wage rates not available for Vermont
but may be for the nation and other states at
CareerOneStop
 
Industries of Employment
United States - 2020
IndustryPercent of total
  • Federal government, excluding postal service
47%
  • Professional, scientific, and technical services
26%
  • Educational services; state, local, and private
18%
More at BLS
 
Knowledge
People in this career often know a lot about:
  • Mathematics
    Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
  • English Language
    Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
  • Computers and Electronics
    Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
  • 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.
More at O*NET
 
Skills
People in this career often have these skills:
  • Mathematics
    Using mathematics to solve problems.
  • Critical Thinking
    Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions, or approaches to problems.
  • Complex Problem Solving
    Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
  • Active Learning
    Understanding the implications of new information for both current and future problem-solving and decision-making.
  • Reading Comprehension
    Understanding written sentences and paragraphs in work-related documents.
More at O*NET
 
Interests
People in this career often prefer these work environments:
  • Investigative
    Work involves studying and researching non-living objects, living organisms, disease or other forms of impairment, or human behavior. Investigative occupations are often associated with physical, life, medical, or social sciences, and can be found in the fields of humanities, mathematics/statistics, information technology, or health care service.
  • Conventional
    Work involves following procedures and regulations to organize information or data, typically in a business setting. Conventional occupations are often associated with office work, accounting, mathematics/statistics, information technology, finance, or human resources.
  • Artistic
    Work involves creating original visual artwork, performances, written works, food, or music for a variety of media, or applying artistic principles to the design of various objects and materials. Artistic occupations are often associated with visual arts, applied arts and design, performing arts, music, creative writing, media, or culinary art.
What are your interests? Take the O*NET Interest Profiler
 
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.
  • Attention to Detail
    Job requires being careful about detail and thorough in completing work tasks.
  • Persistence
    Job requires persistence in the face of obstacles.
  • Achievement/Effort
    Job requires establishing and maintaining personally challenging achievement goals and exerting effort toward mastering tasks.
  • Innovation
    Job requires creativity and alternative thinking to develop new ideas for and answers to work-related problems.
More at O*NET
 
Tasks
On the job, you would:
  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
More at O*NET
 
Related Occupations
More at O*NET
 
 
Career Video
Watch at CareerOneStop with transcript or at YouTube.
 
Projected Employment
Projected employment not available for Vermont
but may be for the nation and other states at
CareerOneStop
 
Education and Experience:
  • Typical education needed for entry
    Master's degree
  • Work experience in a related occupation
    None
  • Typical on-the-job training needed to attain competency
    None
Based on BLS Education and Training Classifications
 
Physical Work Activity
Performing physical activities that require considerable use of your arms and legs and moving your whole body, such as climbing, lifting, balancing, walking, stooping, and handling materials.
 
  • Physical activity is Seldom Important
  • Level of activity is Very Low
Importance
Low   High
Level
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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.
Based on O*Net Job Zones and SVP
 
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
 
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.
  • Number Facility
    The ability to add, subtract, multiply, or divide quickly and correctly.
  • Deductive Reasoning
    The ability to apply general rules to specific problems to produce answers that make sense.
  • Inductive Reasoning
    The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
  • 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).
More at O*NET
 
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.
  • Making Decisions and Solving Problems
    Analyzing information and evaluating results to choose the best solution and solve problems.
  • Processing Information
    Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
  • Getting Information
    Observing, receiving, and otherwise obtaining information from all relevant sources.
  • Thinking Creatively
    Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
More at O*NET
 
Detailed Work Activities
What you might do in a day:
  • Analyze data to identify trends or relationships among variables.
  • Prepare analytical reports.
  • Present research results to others.
  • Update knowledge about emerging industry or technology trends.
  • Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
More at O*NET
 
Other Resources
  • CareerOneStop
    resource for job seekers, students, businessess and career professionals
  • O*NET Online
    nation's primary source of occupational information
 
O*NET in-it

This page includes information from the O*NET 28.0 Database by the U.S. Department of Labor, Employment and Training Administration (USDOL/ETA). Used under the CC BY 4.0 license. O*NET® is a trademark of USDOL/ETA.

BLS

This page includes information produced in cooperation with the U.S. Bureau of Labor Statistics, Occupational Employment and Wage Statistics and State Occupational Projections programs.

 
 
 
 
Vermont.gov State of Vermont Department of Labor