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Date: 08/18/2025

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.

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    Work Activities

    Work Activities

    • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
    • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
    • Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
    • Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
    • Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
    • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
    • Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
    • 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.
    • Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
    • Assemble sets of assumptions, and explore the consequences of each set.
    • Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
    • Perform computations and apply methods of numerical analysis to data.
    • Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.

    Skills

    • Persuasion

      Talking people into changing their minds or their behavior.

    • Installation

      Installing equipment, machines, wiring, or computer programs.

    • Systems Analysis

      Figuring out how a system should work and how changes in the future will affect it.

    • Coordination

      Changing what is done based on other people's actions.

    • Active Learning

      Figuring out how to use new ideas or things.

    • Time Management

      Managing your time and the time of other people.

    • Active Listening

      Listening to others, not interrupting, and asking good questions.

    • Management of Material Resources

      Managing equipment and materials.

    • Judgment and Decision Making

      Thinking about the pros and cons of different options and picking the best one.

    • Management of Personnel Resources

      Selecting and managing the best workers for a job.

    • Quality Control Analysis

      Testing how well a product or service works.

    • Equipment Selection

      Deciding what kind of tools and equipment are needed to do a job.

    • Writing

      Writing things for co-workers or customers.

    • Systems Evaluation

      Measuring how well a system is working and how to improve it.

    • Learning Strategies

      Using the best training or teaching strategies for learning new things.

    • Social Perceptiveness

      Understanding people's reactions.

    • Operation and Control

      Using equipment or systems.

    • Equipment Maintenance

      Planning and doing the basic maintenance on equipment.

    • Mathematics

      Using math to solve problems.

    • Science

      Using scientific rules and strategies to solve problems.

    • Critical Thinking

      Thinking about the pros and cons of different ways to solve a problem.

    • Management of Financial Resources

      Making spending decisions and keeping track of what is spent.

    • Troubleshooting

      Figuring out what is causing equipment, machines, wiring, or computer programs to not work.

    • Technology Design

      Making equipment and technology useful for customers.

    • Negotiation

      Bringing people together to solve differences.

    • Instructing

      Teaching people how to do something.

    • Reading Comprehension

      Reading work-related information.

    • Monitoring

      Keeping track of how well people and/or groups are doing in order to make improvements.

    • Repairing

      Repairing machines or systems using the right tools.

    • Service Orientation

      Looking for ways to help people.

    • Programming

      Writing computer programs.

    • Operations Monitoring

      Watching gauges, dials, or display screens to make sure a machine is working.

    • Complex Problem Solving

      Noticing a problem and figuring out the best way to solve it.

    • Operations Analysis

      Figuring out what a product or service needs to be able to do.

    • Speaking

      Talking to others.

    WorkKeys®

    Applied Math
    7
    Workplace Documents
    7
    Graphic Literacy
    6

    Abilities

    • Gross Body Coordination

      Moving your arms, legs, and mid-section together while your whole body is moving.

    • Explosive Strength

      Jumping, sprinting, or throwing something.

    • Night Vision

      Seeing at night or under low light.

    • Selective Attention

      Paying attention to something without being distracted.

    • Number Facility

      Adding, subtracting, multiplying, or dividing.

    • Deductive Reasoning

      Using rules to solve problems.

    • Rate Control

      Changing when and how fast you move based on how something else is moving.

    • Wrist-Finger Speed

      Making fast, simple, repeated movements of your fingers, hands, and wrists.

    • Mathematical Reasoning

      Choosing the right type of math to solve a problem.

    • Visual Color Discrimination

      Noticing the difference between colors, including shades and brightness.

    • Multilimb Coordination

      Using your arms and/or legs together while sitting, standing, or lying down.

    • Control Precision

      Quickly changing the controls of a machine, car, truck or boat.

    • Oral Comprehension

      Listening and understanding what people say.

    • Near Vision

      Seeing details up close.

    • Dynamic Strength

      Exercising for a long time without your muscles getting tired.

    • Written Comprehension

      Reading and understanding what is written.

    • Problem Sensitivity

      Noticing when problems happen.

    • Arm-Hand Steadiness

      Keeping your arm or hand steady.

    • Speech Recognition

      Recognizing spoken words.

    • Written Expression

      Communicating by writing.

    • Trunk Strength

      Using your lower back and stomach.

    • Peripheral Vision

      Seeing something to your side when your are looking ahead.

    • Far Vision

      Seeing details that are far away.

    • Perceptual Speed

      Quickly comparing groups of letters, numbers, pictures, or other things.

    • Time Sharing

      Doing two or more things at the same time.

    • Visualization

      Imagining how something will look after it is moved around or changed.

    • Static Strength

      Lifting, pushing, pulling, or carrying.

    • Glare Sensitivity

      Seeing something even if there is a glare or very bright light.

    • Sound Localization

      Noticing the direction that a sound came from.

    • Fluency of Ideas

      Coming up with lots of ideas.

    • Gross Body Equilibrium

      Keeping your balance or staying upright.

    • Depth Perception

      Deciding which thing is closer or farther away from you, or deciding how far away it is from you.

    • Memorization

      Remembering words, numbers, pictures, or steps.

    • Inductive Reasoning

      Making general rules or coming up with answers from lots of detailed information.

    • Extent Flexibility

      Bending, stretching, twisting, or reaching with your body, arms, and/or legs.

    • Dynamic Flexibility

      Quickly and repeatedly bending, stretching, twisting, or reaching out with your body, arms, and/or legs.

    • Flexibility of Closure

      Seeing hidden patterns.

    • Speed of Closure

      Quickly knowing what you are looking at.

    • Category Flexibility

      Grouping things in different ways.

    • Oral Expression

      Communicating by speaking.

    • Finger Dexterity

      Putting together small parts with your fingers.

    • Reaction Time

      Quickly moving your hand, finger, or foot based on a sound, light, picture or other command.

    • Hearing Sensitivity

      Telling the difference between sounds.

    • Spatial Orientation

      Knowing where things are around you.

    • Information Ordering

      Ordering or arranging things.

    • Response Orientation

      Quickly deciding if you should move your hand, foot, or other body part.

    • Manual Dexterity

      Holding or moving items with your hands.

    • Auditory Attention

      Paying attention to one sound while there are other distracting sounds.

    • Speech Clarity

      Speaking clearly.

    • Stamina

      Exercising for a long time without getting out of breath.

    • Originality

      Creating new and original ideas.

    • Speed of Limb Movement

      Quickly moving your arms and legs.

    Knowledge

    • Production and Processing

      Knowledge of raw materials, production processes, quality control, costs, and other techniques for maximizing the effective manufacture and distribution of goods.

    • Mathematics

      Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.

    • 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.

    • Psychology

      Knowledge of human behavior and performance; individual differences in ability, personality, and interests; learning and motivation; psychological research methods; and the assessment and treatment of behavioral and affective disorders.

    • Administration and Management

      Knowledge of business and management principles involved in strategic planning, resource allocation, human resources modeling, leadership technique, production methods, and coordination of people and resources.

    • Fine Arts

      Knowledge of the theory and techniques required to compose, produce, and perform works of music, dance, visual arts, drama, and sculpture.

    • Public Safety and Security

      Knowledge of relevant equipment, policies, procedures, and strategies to promote effective local, state, or national security operations for the protection of people, data, property, and institutions.

    • Building and Construction

      Knowledge of materials, methods, and the tools involved in the construction or repair of houses, buildings, or other structures such as highways and roads.

    • Transportation

      Knowledge of principles and methods for moving people or goods by air, rail, sea, or road, including the relative costs and benefits.

    • Food Production

      Knowledge of techniques and equipment for planting, growing, and harvesting food products (both plant and animal) for consumption, including storage/handling techniques.

    • Sales and Marketing

      Knowledge of principles and methods for showing, promoting, and selling products or services. This includes marketing strategy and tactics, product demonstration, sales techniques, and sales control systems.

    • Foreign Language

      Knowledge of the structure and content of a foreign (non-English) language including the meaning and spelling of words, rules of composition and grammar, and pronunciation.

    • Mechanical

      Knowledge of machines and tools, including their designs, uses, repair, and maintenance.

    • Chemistry

      Knowledge of the chemical composition, structure, and properties of substances and of the chemical processes and transformations that they undergo. This includes uses of chemicals and their interactions, danger signs, production techniques, and disposal methods.

    • Biology

      Knowledge of plant and animal organisms, their tissues, cells, functions, interdependencies, and interactions with each other and the environment.

    • English Language

      Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.

    • Law and Government

      Knowledge of laws, legal codes, court procedures, precedents, government regulations, executive orders, agency rules, and the democratic political process.

    • Sociology and Anthropology

      Knowledge of group behavior and dynamics, societal trends and influences, human migrations, ethnicity, cultures, and their history and origins.

    • Medicine and Dentistry

      Knowledge of the information and techniques needed to diagnose and treat human injuries, diseases, and deformities. This includes symptoms, treatment alternatives, drug properties and interactions, and preventive health-care measures.

    • Therapy and Counseling

      Knowledge of principles, methods, and procedures for diagnosis, treatment, and rehabilitation of physical and mental dysfunctions, and for career counseling and guidance.

    • Customer and Personal Service

      Knowledge of principles and processes for providing customer and personal services. This includes customer needs assessment, meeting quality standards for services, and evaluation of customer satisfaction.

    • Personnel and Human Resources

      Knowledge of principles and procedures for personnel recruitment, selection, training, compensation and benefits, labor relations and negotiation, and personnel information systems.

    • Economics and Accounting

      Knowledge of economic and accounting principles and practices, the financial markets, banking, and the analysis and reporting of financial data.

    • History and Archeology

      Knowledge of historical events and their causes, indicators, and effects on civilizations and cultures.

    • Administrative

      Knowledge of administrative and office procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and workplace terminology.

    • Telecommunications

      Knowledge of transmission, broadcasting, switching, control, and operation of telecommunications systems.

    • Philosophy and Theology

      Knowledge of different philosophical systems and religions. This includes their basic principles, values, ethics, ways of thinking, customs, practices, and their impact on human culture.

    • Communications and Media

      Knowledge of media production, communication, and dissemination techniques and methods. This includes alternative ways to inform and entertain via written, oral, and visual media.

    • Geography

      Knowledge of principles and methods for describing the features of land, sea, and air masses, including their physical characteristics, locations, interrelationships, and distribution of plant, animal, and human life.

    • Computers and Electronics

      Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.

    • 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.

    • Design

      Knowledge of design techniques, tools, and principles involved in production of precision technical plans, blueprints, drawings, and models.

    • 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.

    Career Video

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    Pay

    • Ohio Annual Salary 96780/yr
    • Typical Salary
    • Ohio Hourly Wage 46.53/hr
    • Typical Hourly Wage

    Ohio Employment Trends

    • Currently Employed 30
    • Yearly Projected Openings 0

    Typical Education

    Personality

    Investigative: People interested in this work like activities that include ideas, thinking, and figuring things out.They do well at jobs that need:
    • Analytical Thinking
    • Attention to Detail
    • Persistence
    • Achievement/Effort
    • Innovation
    • Initiative

    Tools

    • Desktop computers
    • High capacity removable media drives
    • Mainframe computers
    • Notebook computers
    • Personal computers
    • Read write digital versatile disc DVD
    • Scientific calculator

    Technology

    • Analytical or scientific software
    • Business intelligence and data analysis software
    • Customer relationship management CRM software
    • Data base management system software
    • Data base user interface and query software
    • Desktop publishing software
    • Development environment software
    • Electronic mail software
    • Enterprise application integration software
    • Graphics or photo imaging software
    • Internet browser software
    • Network security or virtual private network VPN management software
    • Object or component oriented development software
    • Office suite software
    • Operating system software
    • Presentation software
    • Program testing software
    • Spreadsheet software
    • Transaction server software
    • Web platform development software
    • Word processing software
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