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CODE: 25323 Buy ONET/DOT: Download or CD-ROM
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:
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