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TITLE: Mathematical Technicians
DEFINITION: Apply standardized mathematical formulas, principles, and methodology to technical problems in engineering and physical science in relation to specific industrial and research objectives, processes, equipment, and products.
TASKS:
1. Selects most feasible combination and sequence of computational methods to reduce raw data to meaningful and manageable terms.
2. Analyzes raw data from computer or recorded on photographic film or other media.
3. Selects most economical and reliable combination of manual, mechanical, or data processing methods and equipment consistent with data reduction requirements.
4. Calculates data for analysis, using computer or calculator.
5. Translates data into numerical values, equations, flow charts, graphs or other media.
6. Modifies standard formulas to conform to data processing method selected.
7. Analyzes processed data to detect errors.
8. Confers with professional scientific, and engineering personnel to plan project.
KNOWLEDGE:
Knowledge elements are ranked by importance.
100 Mathematics
Knowledge of numbers, their operations, and interrelationships including arithmetic, algebra, geometry, calculus, statistics, and their applications
75 Computers and Electronics
Knowledge of electric circuit boards, processors, chips, and computer hardware and software, including applications and programming
54 English Language
Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar
42 Engineering and Technology
Knowledge of equipment, tools, mechanical devices, and their uses to produce motion, light, power, technology, and other applications
38 Clerical
Knowledge of administrative and clerical procedures and systems such as word processing systems, filing and records management systems, stenography and transcription, forms design principles, and other office procedures and terminology
29 Physics
Knowledge and prediction of physical principles, laws, and applications including air, water, material dynamics, light, atomic principles, heat, electric theory, earth formations, and meteorological and related natural phenomena
25 Communications and Media
Knowledge of media production, communication, and dissemination techniques and methods including alternative ways to inform and entertain via written, oral, and visual media
25 Administration and Management
Knowledge of principles and processes involved in business and organizational planning, coordination, and execution. This includes strategic planning, resource allocation, manpower modeling, leadership techniques, and production methods
13 Production and Processing
Knowledge of inputs, outputs, raw materials, waste, quality control, costs, and techniques for maximizing the manufacture and distribution of goods
13 Economics and Accounting
Knowledge of economic and accounting principles and practices, the financial markets, banking, and the analysis and reporting of financial data
13 Telecommunications
Knowledge of transmission, broadcasting, switching, control, and operation of telecommunications systems
8 Chemistry
Knowledge of the 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
8 Law, Government and Jurisprudence
Knowledge of laws, legal codes, court procedures, precedents, government regulations, executive orders, agency rules, and the democratic political process
8 Education and Training
Knowledge of instructional methods and training techniques including curriculum design principles, learning theory, group and individual teaching techniques, design of individual development plans, and test design principles
4 Mechanical
Knowledge of machines and tools, including their designs, uses, benefits, repair, and maintenance
4 Transportation
Knowledge of principles and methods for moving people or goods by air, rail, sea, or road, including their relative costs, advantages, and limitations
4 Design
Knowledge of design techniques, principles, tools and instruments involved in the production and use of precision technical plans, blueprints, drawings, and models
SKILLS:
Skills elements are ranked by importance.
92 Mathematics
Using mathematics to solve problems
88 Critical Thinking
Using logic and analysis to identify the strengths and weaknesses of different approaches
83 Information Organization
Finding ways to structure or classify multiple pieces of information
83 Reading Comprehension
Understanding written sentences and paragraphs in work related documents
83 Synthesis/Reorganization
Reorganizing information to get a better approach to problems or tasks
79 Active Listening
Listening to what other people are saying and asking questions as appropriate
79 Judgment and Decision Making
Weighing the relative costs and benefits of a potential action
75 Equipment Selection
Determining the kind of tools and equipment needed to do a job
71 Science
Using scientific methods to solve problems
71 Idea Evaluation
Evaluating the likely success of an idea in relation to the demands of the situation
67 Speaking
Talking to others to effectively convey information
67 Active Learning
Working with new material or information to grasp its implications
67 Monitoring
Assessing how well one is doing when learning or doing something
67 Information Gathering
Knowing how to find information and identifying essential information
67 Idea Generation
Generating a number of different approaches to problems
67 Identification of Key Causes
Identifying the things that must be changed to achieve a goal
63 Solution Appraisal
Observing and evaluating the outcomes of a problem solution to identify lessons learned or redirect efforts
58 Implementation Planning
Developing approaches for implementing an idea
58 Writing
Communicating effectively with others in writing as indicated by the needs of the audience
58 Problem Identification
Identifying the nature of problems
54 Operations Analysis
Analyzing needs and product requirements to create a design
54 Programming
Writing computer programs for various purposes
54 Learning Strategies
Using multiple approaches when learning or teaching new things
50 Testing
Conducting tests to determine whether equipment, software, or procedures are operating as expected
50 Visioning
Developing an image of how a system should work under ideal conditions
46 Product Inspection
Inspecting and evaluating the quality of products
46 Identifying Downstream Consequences
Determining the long-term outcomes of a change in operations
38 Time Management
Managing one's own time and the time of others
38 Systems Evaluation
Looking at many indicators of system performance, taking into account their accuracy
33 Coordination
Adjusting actions in relation to others' actions
33 Technology Design
Generating or adapting equipment and technology to serve user needs
29 Systems Perception
Determining when important changes have occurred in a system or are likely to occur
25 Operation Monitoring
Watching gauges, dials, or other indicators to make sure a machine is working properly
25 Operation and Control
Controlling operations of equipment or systems
21 Troubleshooting
Determining what is causing an operating error and deciding what to do about it
17 Negotiation
Bringing others together and trying to reconcile differences
17 Persuasion
Persuading others to approach things differently
17 Management of Material Resources
Obtaining and seeing to the appropriate use of equipment, facilities, and materials needed to do certain work
17 Management of Financial Resources
Determining how money will be spent to get the work done, and accounting for these expenditures
8 Instructing
Teaching others how to do something
4 Installation
Installing equipment, machines, wiring, or programs to meet specifications .
ABILITIES:
Abilities elements are ranked by importance.
100 Number Facility
The ability to add, subtract, multiply, or divide quickly and correctly
100 Mathematical Reasoning
The ability to understand and organize a problem and then to select a mathematical method or formula to solve the problem
75 Deductive Reasoning
The ability to apply general rules to specific problems to come up with logical answers. It involves deciding if an answer makes sense.
60 Oral Expression
The ability to communicate information and ideas in speaking so others will understand
55 Oral Comprehension
The ability to listen to and understand information and ideas presented through spoken words and sentences
50 Near Vision
The ability to see details of objects at a close range (within a few feet of the observer)
50 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.
45 Information Ordering
The ability to correctly follow a given rule or set of rules in order to arrange things or actions in a certain order. The things or actions can include numbers, letters, words, pictures, procedures, sentences, and mathematical or logical operations.
45 Fluency of Ideas
The ability to come up with a number of ideas about a given topic. It concerns the number of ideas produced and not the quality, correctness, or creativity of the ideas.
40 Written Comprehension
The ability to read and understand information and ideas presented in writing
40 Speech Clarity
The ability to speak clearly so that it is understandable to a listener
35 Speed of Closure
The ability to quickly make sense of information that seems to be without meaning or organization. It involves quickly combining and organizing different pieces of information into a meaningful pattern
30 Inductive Reasoning
The ability to combine separate pieces of information, or specific answers to problems, to form general rules or conclusions. It includes coming up with a logical explanation for why a series of seemingly unrelated events occur together.
30 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
25 Written Expression
The ability to communicate information and ideas in writing so others will understand
25 Category Flexibility
The ability to produce many rules so that each rule tells how to group (or combine) a set of things in a different way.
25 Wrist-Finger Speed
The ability to make fast, simple, repeated movements of the fingers, hands, and wrists
20 Perceptual Speed
The ability to quickly and accurately compare letters, numbers, objects, pictures, or patterns. The things to be compared may be presented at the same time or one after the other. This ability also includes comparing a presented object with a remembered object
20 Selective Attention
The ability to concentrate and not be distracted while performing a task over a period of time
20 Finger Dexterity
The ability to make precisely coordinated movements of the fingers of one or both hands to grasp, manipulate, or assemble very small objects
20 Memorization
The ability to remember information such as words, numbers, pictures, and procedures
15 Flexibility of Closure
The ability to identify or detect a known pattern (a figure, object, word, or sound) that is hidden in other distracting material
15 Speech Recognition
The ability to identify and understand the speech of another person
15 Control Precision
The ability to quickly and repeatedly make precise adjustments in moving the controls of a machine or vehicle to exact positions
10 Trunk Strength
The ability to use one's abdominal and lower back muscles to support part of the body repeatedly or continuously over time without "giving out" or fatiguing
10 Time Sharing
The ability to efficiently shift back and forth between two or more activities or sources of information (such as speech, sounds, touch, or other sources)
10 Manual Dexterity
The ability to quickly make coordinated movements of one hand, a hand together with its arm, or two hands to grasp, manipulate, or assemble objects
10 Visual Color Discrimination
The ability to match or detect differences between colors, including shades of color and brightness
5 Depth Perception
The ability to judge which of several objects is closer or farther away from the observer, or to judge the distance between an object and the observer
5 Gross Body Coordination
The ability to coordinate the movement of the arms, legs, and torso together in activities where the whole body is in motion
5 Glare Sensitivity
The ability to see objects in the presence of glare or bright lighting
5 Reaction Time
The ability to quickly respond (with the hand, finger, or foot) to one signal (sound, light, picture, etc.) when it appears
5 Stamina
The ability to exert one's self physically over long periods of time without getting winded or out of breath
5 Visualization
The ability to imagine how something will look after it is moved around or when its parts are moved or rearranged
5 Spatial Orientation
The ability to know one's location in relation to the environment, or to know where other objects are in relation to one's self
5 Far Vision
The ability to see details at a distance
5 Night Vision
The ability to see under low light conditions
5 Arm-Hand Steadiness
The ability to keep the hand and arm steady while making an arm movement or while holding the arm and hand in one position
WORK ACTIVITIES:
Work activities elements are ranked by importance.
100 Processing Information
Compiling, coding, categorizing, calculating, tabulating, auditing, verifying, or processing information or data.
92 Getting Information Needed to Do the Job
Observing, receiving, and otherwise obtaining information from all relevant sources.
92 Analyzing Data or Information
Identifying underlying principles, reasons, or facts by breaking down information or data into separate parts.
88 Identifying Objects, Actions, and Events
Identifying information received by making estimates or categorizations, recognizing differences or similarities, or sensing changes in circumstances or events.
88 Interacting With Computers
Controlling computer functions by using programs, setting up functions, writing software, or otherwise communicating with computer systems.
75 Updating and Using Job-Relevant Knowledge
Keeping up-to-date technically and knowing one's own jobs' and related jobs' functions.
75 Making Decisions and Solving Problems
Combining, evaluating, and reasoning with information and data to make decisions and solve problems. These processes involve making decisions about the relative importance of information and choosing the best solution.
67 Communicating With Other Workers
Providing information to supervisors, fellow workers, and subordinates. This information can be exchanged face-to-face, in writing, or via telephone/electronic transfer.
67 Documenting or Recording Information
Entering, transcribing, recording, storing, or maintaining information in either written form or by electronic/magnetic recording.
67 Implementing Ideas or Programs
Conducting or carrying out work procedures and activities in accord with one's own ideas or information provided through directions/instructions for purposes of installing, modifying, preparing, delivering, constructing, integrating, finishing, or completing programs, systems, structures, or products.
63 Organizing, Planning, and Prioritizing
Developing plans to accomplish work, and prioritizing and organizing one's own work.
58 Thinking Creatively
Originating, inventing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
54 Evaluating Information Against Standards
Evaluating information against a set of standards and verifying that it is correct.
54 Estimating Needed Characteristics
Estimating the Characteristics of Materials, Products, Events, or Information: Estimating sizes, distances, and quantities, or determining time, costs, resources, or materials needed to perform a work activity.
54 Interpreting Meaning of Information to Others
Translating or explaining what information means and how it can be understood or used to support responses or feedback to others.
46 Handling and Moving Objects
Using one's own hands and arms in handling, installing, forming, positioning, and moving materials, or in manipulating things, including the use of keyboards.
42 Judging Qualities of Things, Services, or People
Making judgments about or assessing the value, importance, or quality of things or people.
33 Developing Objectives and Strategies
Establishing long range objectives and specifying the strategies and actions to achieve these objectives.
33 Providing Consultation and Advice to Others
Providing consultation and expert advice to management or other groups on technical, systems-related, or process related topics.
29 Establishing and Maintaining Relationships
Developing constructive and cooperative working relationships with others.
25 Monitor Processes, Material, or Surroundings
Monitoring and reviewing information from materials, events, or the environment, often to detect problems or to find out when things are finished.
21 Monitoring and Controlling Resources
Monitoring and controlling resources and overseeing the spending of money.
21 Performing Administrative Activities
Approving requests, handling paperwork, and performing day-to-day administrative tasks.
17 Inspecting Equipment, Structures, or Material
Inspecting or diagnosing equipment, structures, or materials to identify the causes of errors or other problems or defects.
17 Communicating With Persons Outside Organization
Communicating with persons outside the organization, representing the organization to customers, the public, government, and other external sources. This information can be exchanged face-to-face, in writing, or via telephone/electronic transfer.
13 Controlling Machines and Processes
Using either control mechanisms or direct physical activity to operate machines or processes (not including computers or vehicles).
13 Resolving Conflict or Negotiating with Others
Handling complaints, arbitrating disputes, and resolving grievances, or otherwise negotiating with others.
13 Performing General Physical Activities
Performing physical activities that require moving one's whole body, such as in climbing, lifting, balancing, walking, stooping, where the activities often also require considerable use of the arms and legs, such as in the physical handling of materials.
13 Coordinating Work and Activities of Others
Coordinating members of a work group to accomplish tasks.
13 Assisting and Caring for Others
Providing assistance or personal care to others.
13 Selling or Influencing Others
Convincing others to buy merchandise/goods, or otherwise changing their minds or actions.
13 Teaching Others
Identifying educational needs, developing formal training programs or classes, and teaching or instructing others.
4 Scheduling Work and Activities
Scheduling events, programs, activities, as well as the work of others.
4 Drafting and Specifying Technical Devices
Providing documentation, detailed instructions, drawings, or specifications to inform others about how devices, parts, equipment, or structures are to be fabricated, constructed, assembled, modified, maintained, or used.
4 Repairing and Maintaining Electrical Equipment
Fixing, servicing, adjusting, regulating, calibrating, fine-tuning, or testing machines, devices, and equipment that operate primarily on the basis of electrical or electronic (not mechanical) principles.
4 Developing and Building Teams
Encouraging and building mutual trust, respect, and cooperation among team members.
4 Coaching and Developing Others
Identifying developmental needs of others and coaching or otherwise helping others to improve their knowledge or skills.
WORK CONTEXT:
Work context elements are ranked by frequency (F), importance (I), responsibility (R), amount of contact (C), how serious (S), objective vs. subjective (O), automation (A), extent of frustration (E), responsible for health and safety (H), likelihood of injury (L), degree of injury (D) .
100 (F) Indoors
How frequently does this job require the worker to work: Indoors
90 (I) Importance of Being Exact or Accurate
How important is being very exact or highly accurate in performing this job?
88 (F) Sitting
How much time in a usual work period does the worker spend: Sitting?
75 (I) Importance of Being Sure All Is Done
How important is it to be sure that all the details of this job are performed and everything is done completely?
56 (F) Using Hands on Objects, Tools, Controls
How much time in a usual work period does the worker spend: Using hands to handle, control, or feel objects, tools or controls?
45 (I) Provide a Service to Others
How important are interactions requiring the worker to: Provide a service to others (e.g., customers)?
42 (A) Degree of Automation
Indicate the level of automation of this job.
31 (F) Standing
How much time in a usual work period does the worker spend: Standing?
31 (F) Making Repetitive Motions
How much time in a usual work period does the worker spend: Making repetitive motions?
29 (E) Frustrating Circumstances
To what extent do frustrating circumstances ("road blocks" to work that are beyond the worker's control) hinder the accomplishment of this job?
29 (O) Objective or Subjective Information
How objective or subjective is the information communicated in this job?
25 (C) Job-Required Social Interaction
How much does this job require the worker to be in contact (face-to-face, by telephone, or otherwise) with others in order to perform it?
25 (I) Importance of Repeating Same Tasks
How important is repeating the same physical activities (e.g., key entry) or mental activities (e.g., checking entries in a ledger) over and over, without stopping, to performing this job?
25 (F) Walking or Running
How much time in a usual work period does the worker spend: Walking or running?
25 (F) Frequency in Conflict Situations
How frequently do the job requirements place the worker in conflict situations?
25 (I) Take a Position Opposed to Others
How important are interactions requiring the worker to: Take a position opposed to coworkers or others?
25 (S) Consequence of Error
How serious would the result usually be if the worker made a mistake that was not readily correctable?
20 (I) Persuade Someone to a Course of Action
How important are interactions requiring the worker to: Persuade someone to a course of action (informally) or influence others to buy something (to sell)?
20 (I) Importance of Being Aware of New Events
How important is being constantly aware of either frequently changing events (e.g. security guard watching for shoplifters) or infrequent events (e.g. radar operator watching for tornadoes) to performing this job?
19 (F) Extremely Bright or Inadequate Lighting
How often during a usual work period is the worker exposed to the following conditions: Extremely bright or inadequate lighting conditions?
19 (F) Bending or Twisting the Body
How much time in a usual work period does the worker spend: Bending or twisting the body?
15 (I) Deal With External Customers
How important are interactions requiring the worker to: Deal with external customers (e.g., retail sales) or the public in general (e.g., police work)?
15 (I) Coordinate or Lead Others
How important are interactions requiring the worker to: Coordinate or lead others in accomplishing work activities (not supervision)?
15 (I) Pace Determined by Speed of Equipment
How important is it to this job that the pace is determined by the speed of equipment or machinery? (This does not refer to keeping busy at all times on this job.)
13 (F) Hazardous Situations
How often does this job require the worker to be exposed to harardous situations? Hazardous Situations involving likely cuts, bites, stings, or minor burns
7 (L) Hazardous Situations
What is the likelihood that the worker would be injured as a result of being exposed to hazardous situations while performing this job? Hazardous Situations involving likely cuts, bites, stings, or minor burns
7 (R) Responsibility for Outcomes and Results
How responsible is the worker for work outcomes and results of other workers?
7 (L) Diseases or Infections
What is the likelihood that the worker would be injured as a result of being exposed to diseases/infections while performing this job? Diseases/Infections (e.g., patient care, some laboratory work, sanitation control, etc.)
6 (F) Deal With Unpleasant or Angry People
How frequently does the worker have to deal with unpleasant, angry, or discourteous individuals as part of the job requirements?
6 (F) Contaminants
How often during a usual work period is the worker exposed to the following conditions: Contaminants (pollutants, gases, dust, odors, etc.)?
6 (F) Very Hot
How often during a usual work period is the worker exposed to the following conditions: Very hot (above 90 F) or very cold (under 32 F) temperatures?
6 (F) Diseases or Infections
How often does this job require the worker to be exposed to diseases/infection? Diseases/Infections (e.g., patient care, some laboratory work, sanitation control, etc.)
6 (F) Sounds or Noise Levels Are Distracting
How often during a usual work period is the worker exposed to the following conditions: Sounds and noise levels that are distracting and uncomfortable?
6 (F) Keeping or Regaining Balance
How much time in a usual work period does the worker spend: Keeping or regaining balance?
5 (D) Hazardous Situations
If injury, due to exposure to hazardous situations, were to occur while performing this job, how serious would be the likely outcome? Hazardous Situations involving likely cuts, bites, stings, or minor burns
5 (D) Diseases or Infections
If injury, due to exposure to diseases/infection, were to occur while performing this job, how serious would be the likely outcome? Diseases/Infections (e.g., patient care, some laboratory work, sanitation control, etc.)
5 (I) Supervise, Coach, Train Others
How important are interactions requiring the worker to: Supervise, coach, train, or develop other employees?
INTERESTS:
Interest elements are ranked by occupational interest.
94 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.
56 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.
56 Realistic
Realistic occupations frequently involve work activities that include practical, hands-on problems and solutions. They often deal with plants, animals, and real-world materials like wood, tools, and machinery. Many of the occupations require working outside, and do not involve a lot of paperwork or working closely with others.
22 Enterprising
Enterprising occupations frequently involve starting up and carrying out projects. These occupations can involve leading people and making many decisions. Sometimes they require risk taking and often deal with business.
22 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.
17 Social
Social occupations frequently involve working with, communicating with, and teaching people. These occupations often involve helping or providing service to others.
WORK VALUES:
Work values elements are ranked by extent.
64 Achievement-Mean Extent
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.
58 Working Conditions-Mean Extent
Occupations that satisfy this work value offer job security and good working conditions. Corresponding needs are Activity, Compensation, Independence, Security, Variety and Working Conditions.
57 Support-Mean Extent
Occupations that satisfy this work value offer supportive management that stands behind employees. Corresponding needs are Company Policies, Supervision: Human Relations and Supervision: Technical.
53 Independence-Mean Extent
Occupations that satisfy this work value allow employs to work on their own and make decisions. Corresponding needs are Creativity, Responsibility and Autonomy.
47 Relationships-Mean Extent
Occupations that satisfy this work value allow employees to provide service to others and work with co-workers in a friendly non-competitive environment. Corresponding needs are Co-workers, Moral Values and Social Service.
47 Recognition-Mean Extent
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.
72 Working Conditions
Workers on this job have good working conditions
72 Ability Utilization
Workers on this job make use of their individual abilities
69 Moral Values
Workers on this job are never pressured to do things that go against their sense of right and wrong
66 Supervision, Human Relations
Workers on this job have supervisors who back up their workers with management
63 Security
Workers on this job have steady employment
63 Advancement
Workers on this job have opportunities for advancement
59 Independence
Workers on this job do their work alone
59 Company Policies and Practices
Workers on this job are treated fairly by the company
59 Activity
Workers on this job are busy all the time
59 Autonomy
Workers on this job plan their work with little supervision
56 Achievement
Workers on this job get a feeling of accomplishment
53 Social Status
Workers on this job are looked up to by others in their company and their community
50 Co-workers
Workers on this job have co-workers who are easy to get along with
50 Creativity
Workers on this job try out their own ideas
50 Responsibility
Workers on this job make decisions on their own
47 Compensation
Workers on this job are paid well in comparison with other workers
47 Recognition
Workers on this job receive recognition for the work they do
47 Supervision, Technical
Workers on this job have supervisors who train their workers well
47 Variety
Workers on this job have something different to do every day
25 Authority
Workers on this job give directions and instructions to others
22 Social Service
Workers on this job have work where they do things for other people
CROSSWALKS:
| DOT91 (Dictionary of Occupational Titles): |
020162010 Mathematical Technician |
| AIM97 (Apprenticeship Information Management): |
No crosswalks |
| CEN90 (1990 Census Occupations): |
225 Science Technicians, N.E.C. |
| CIP90 (Classification of Instructional Programs): |
270301 Applied Mathematics, General |
| GOE93 (Guide for Occupational Exploration): |
110102 Mathematics and Statistics: Data Analysis |
| MOC97 (Military Occupational Codes): |
No crosswalks |
| OES98 (Occupational Employment Statistics): |
25323 Mathematical Technicians |
| OPM97 (Office of Personnel Management Occupations): |
1521 Mathematics Technician 1599 Mathematics and Statistics Student Trainee 1598 Mathematics and Statistics Group |
| SOC98 (Standard Occupational Classification): |
15-3011 Mathematical Technicians |
