CareerGPS

Mathematicians
Summary Occupational Forecast Data for Mathematicians
Employment Employment Change Average Annual Job Openings Wage & Training Levels
2018 2023 Numerical Percent New Jobs Replacement Jobs Total Median Hourly Median Annual Training Levels
22 25 3 13.00% 1 2 2 $43.90 $91,311 Master's degree
Description: Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields. Solve or direct solutions to problems in various fields by mathematical methods.
Staffing Pattern Data Forecast Data Source: EMSI (2nd Quarter 2018)

Occupation Details

The information in this section represents occupational characteristics included in O*NET which defines key features of an occupation as a standardized, measurable set of variables called "descriptors". These distinguishing characteristics of an occupation are described in greater detail in the O*NET Content Model. All items are listed in descending order of importance.

  • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
  • Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
  • Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
  • Perform computations and apply methods of numerical analysis to data.
  • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
  • Assemble sets of assumptions and explore the consequences of each set.
  • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
  • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.

Knowledge

100%
Mathematics - Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
74%
Computers and Electronics - Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
69%
English Language - Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
61%
Engineering and Technology - Knowledge of the practical application of engineering science and technology. This includes applying principles, techniques, procedures, and equipment to the design and production of various goods and services.
55%
Physics - Knowledge and prediction of physical principles, laws, their interrelationships, and applications to understanding fluid, material, and atmospheric dynamics, and mechanical, electrical, atomic and sub- atomic structures and processes.

Skills

97%
Mathematics - Using mathematics to solve problems.
75%
Reading Comprehension - Understanding written sentences and paragraphs in work related documents.
75%
Complex Problem Solving - Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
75%
Critical Thinking - Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
72%
Active Learning - Understanding the implications of new information for both current and future problem-solving and decision-making.
65%
Learning Strategies - Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
62%
Speaking - Talking to others to convey information effectively.
60%
Science - Using scientific rules and methods to solve problems.
60%
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.
56%
Writing - Communicating effectively in writing as appropriate for the needs of the audience.
50%
Monitoring - Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
50%
Social Perceptiveness - Being aware of others' reactions and understanding why they react as they do.
50%
Judgment and Decision Making - Considering the relative costs and benefits of potential actions to choose the most appropriate one.

Abilities

91%
Mathematical Reasoning - The ability to choose the right mathematical methods or formulas to solve a problem.
75%
Deductive Reasoning - The ability to apply general rules to specific problems to produce answers that make sense.
72%
Written Comprehension - The ability to read and understand information and ideas presented in writing.
72%
Number Facility - The ability to add, subtract, multiply, or divide quickly and correctly.
72%
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).
69%
Inductive Reasoning - The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
69%
Originality - The ability to come up with unusual or clever ideas about a given topic or situation, or to develop creative ways to solve a problem.
66%
Near Vision - The ability to see details at close range (within a few feet of the observer).
66%
Oral Comprehension - The ability to listen to and understand information and ideas presented through spoken words and sentences.
66%
Fluency of Ideas - The ability to come up with a number of ideas about a topic (the number of ideas is important, not their quality, correctness, or creativity).
62%
Problem Sensitivity - The ability to tell when something is wrong or is likely to go wrong. It does not involve solving the problem, only recognizing there is a problem.
62%
Category Flexibility - The ability to generate or use different sets of rules for combining or grouping things in different ways.
60%
Oral Expression - The ability to communicate information and ideas in speaking so others will understand.
60%
Speech Recognition - The ability to identify and understand the speech of another person.
56%
Speech Clarity - The ability to speak clearly so others can understand you.
53%
Written Expression - The ability to communicate information and ideas in writing so others will understand.
50%
Selective Attention - The ability to concentrate on a task over a period of time without being distracted.

Work Activities

93%
Thinking Creatively - Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
92%
Updating and Using Relevant Knowledge - Keeping up-to-date technically and applying new knowledge to your job.
89%
Interacting With Computers - Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.
85%
Getting Information - Observing, receiving, and otherwise obtaining information from all relevant sources.
84%
Making Decisions and Solving Problems - Analyzing information and evaluating results to choose the best solution and solve problems.
80%
Analyzing Data or Information - Identifying the underlying principles, reasons, or facts of information by breaking down information or data into separate parts.
76%
Communicating with Supervisors, Peers, or Subordinates - Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.
71%
Processing Information - Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying information or data.
68%
Provide Consultation and Advice to Others - Providing guidance and expert advice to management or other groups on technical, systems-, or process-related topics.
67%
Interpreting the Meaning of Information for Others - Translating or explaining what information means and how it can be used.
61%
Identifying Objects, Actions, and Events - Identifying information by categorizing, estimating, recognizing differences or similarities, and detecting changes in circumstances or events.
58%
Estimating the Quantifiable Characteristics of Products, Events, or Information - Estimating sizes, distances, and quantities; or determining time, costs, resources, or materials needed to perform a work activity.
58%
Communicating with Persons Outside Organization - Communicating with people outside the organization, representing the organization to customers, the public, government, and other external sources. This information can be exchanged in person, in writing, or by telephone or e-mail.
58%
Developing Objectives and Strategies - Establishing long-range objectives and specifying the strategies and actions to achieve them.
56%
Documenting/Recording Information - Entering, transcribing, recording, storing, or maintaining information in written or electronic/magnetic form.
56%
Establishing and Maintaining Interpersonal Relationships - Developing constructive and cooperative working relationships with others, and maintaining them over time.
54%
Organizing, Planning, and Prioritizing Work - Developing specific goals and plans to prioritize, organize, and accomplish your work.
50%
Training and Teaching Others - Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others.
Title Job Zone Five: Extensive Preparation Needed
Overall Experience Extensive skill, knowledge, and experience are needed for these occupations. Many require more than five years of experience. For example, surgeons must complete four years of college and an additional five to seven years of specialized medical training to be able to do their job.
Job Training Employees may need some on-the-job training, but most of these occupations assume that the person will already have the required skills, knowledge, work-related experience, and/or training.
Job Zone Examples These occupations often involve coordinating, training, supervising, or managing the activities of others to accomplish goals. Very advanced communication and organizational skills are required. Examples include librarians, lawyers, aerospace engineers, wildlife biologists, school psychologists, surgeons, treasurers, and controllers.
Education Most of these occupations require graduate school. For example, they may require a master's degree, and some require a Ph.D., M.D., or J.D. (law degree).

Interests

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.
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.
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.

Work Styles

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.
Innovation - Job requires creativity and alternative thinking to develop new ideas for and answers to work-related problems.
Achievement/Effort - Job requires establishing and maintaining personally challenging achievement goals and exerting effort toward mastering tasks.
Persistence - Job requires persistence in the face of obstacles.
Initiative - Job requires a willingness to take on responsibilities and challenges.
Integrity - Job requires being honest and ethical.
Independence - Job requires developing one's own ways of doing things, guiding oneself with little or no supervision, and depending on oneself to get things done.

Work Values

Achievement - Occupations that satisfy this work value are results oriented and allow employees to use their strongest abilities, giving them a feeling of accomplishment. Corresponding needs are Ability Utilization and Achievement.
Recognition - Occupations that satisfy this work value offer advancement, potential for leadership, and are often considered prestigious. Corresponding needs are Advancement, Authority, Recognition and Social Status.
Working Conditions - Occupations that satisfy this work value offer job security and good working conditions. Corresponding needs are Activity, Compensation, Independence, Security, Variety and Working Conditions.
Independence - Occupations that satisfy this work value allow employees to work on their own and make decisions. Corresponding needs are Creativity, Responsibility and Autonomy.