A typical day involves preparing and delivering lectures on mathematical concepts such as linear algebra or differential equations to undergraduate and graduate students. They spend time developing course materials, grading student work, and maintaining detailed records of student attendance and academic progress. Between classes, they collaborate with colleagues on research projects, write grant proposals to secure funding, and stay current with mathematical developments through professional literature. Administrative duties include selecting textbooks and materials, planning curriculum revisions, and facilitating classroom discussions to engage students with complex mathematical theories.
Individuals who excel in this role possess exceptional mathematical reasoning abilities and can communicate complex quantitative concepts clearly to diverse audiences. They demonstrate high intellectual curiosity, continuously seeking to understand new mathematical developments and innovative teaching methods. Successful mathematical science teachers combine analytical precision with patience and empathy, as they must guide students through challenging problem-solving processes. They thrive on both the solitary nature of mathematical research and the collaborative aspects of teaching, requiring strong written and oral communication skills to publish research and engage students effectively.
This profession faces low automation risk due to the fundamentally human aspects of teaching, mentoring, and conducting original mathematical research. While technology tools like computer algebra systems and online learning platforms enhance instruction delivery, the core activities of explaining complex concepts, guiding student problem-solving processes, and developing new mathematical insights require human creativity and interpersonal skills. The emphasis on training and teaching others, thinking creatively, and interpreting information for students represents work that remains distinctly human-centered.
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| TERM | COUNT | FREQ | BAR | SOURCE ATTRIBUTION |
|---|---|---|---|---|
| tendency | 42 | 0.0149 | onet dimensi 100% | |
| others | 40 | 0.0142 | onet dimensi 95% onet tasks 2% | |
| equipment | 25 | 0.0089 | onet dimensi 92% dwas 8% | |
| mathematical | 22 | 0.0078 | inference 68% onet dimensi 14% | |
| materials | 21 | 0.0075 | onet dimensi 48% dwas 24% | |
| research | 21 | 0.0075 | inference 48% onet tasks 19% | |
| teaching | 16 | 0.0057 | inference 56% onet dimensi 31% | |
| activities | 16 | 0.0057 | onet dimensi 56% dwas 25% | |
| principles | 16 | 0.0057 | onet dimensi 100% | |
| students | 13 | 0.0046 | inference 46% onet tasks 31% | |
| science | 13 | 0.0046 | inference 46% wikipedia 31% | |
| student | 12 | 0.0043 | dwas 42% inference 33% | |
| includes | 12 | 0.0043 | onet dimensi 100% | |
| control | 12 | 0.0043 | onet dimensi 100% | |
| objects | 12 | 0.0043 | onet dimensi 100% | |
| mathematics | 11 | 0.0039 | inference 36% onet dimensi 27% | |
| ideas | 11 | 0.0039 | onet dimensi 100% | |
| academic | 10 | 0.0036 | inference 40% onet tasks 30% | |
| performance | 10 | 0.0036 | onet dimensi 70% dwas 20% | |
| human | 10 | 0.0036 | onet dimensi 70% inference 30% | |
| techniques | 10 | 0.0036 | onet dimensi 100% | |
| body | 10 | 0.0036 | onet dimensi 100% | |
| developing | 10 | 0.0036 | onet dimensi 80% inference 20% | |
| events | 9 | 0.0032 | onet dimensi 89% onet tasks 11% | |
| problems | 9 | 0.0032 | onet dimensi 100% | |
| needs | 9 | 0.0032 | onet dimensi 89% dwas 11% | |
| problem | 9 | 0.0032 | onet dimensi 78% inference 22% | |
| resources | 9 | 0.0032 | onet dimensi 100% | |
| quickly | 9 | 0.0032 | onet dimensi 100% | |
| orientation | 9 | 0.0032 | onet dimensi 100% |
Provenance Window — Full Source Record · 25-1022.00 · Mathematical Science Teachers, Postsecondary 7 source blocks · click to expand
[Core] [118% incumbents] Compile, administer, and grade examinations, or assign this work to others. DWAs: Administer tests to assess educational needs or progress. | Prepare tests. | Evaluate student work. [Core] [118% incumbents] Prepare and deliver lectures to undergraduate or graduate students on topics such as linear algebra, differential equations, and discrete mathematics. DWAs: Teach physical science or mathematics courses at the college level. [Core] [118% incumbents] Maintain student attendance records, grades, and other required records. DWAs: Maintain student records. [Core] [118% incumbents] Plan, evaluate, and revise curricula, course content, and course materials and methods of instruction. DWAs: Evaluate effectiveness of educational programs. | Develop instructional objectives. [Core] [118% incumbents] Keep abreast of developments and technological advances in the mathematical field by reading current literature, talking with colleagues, and participating in professional conferences. DWAs: Stay informed about current developments in field of specialization. | Attend training sessions or professional meetings to develop or maintain professional knowledge. [Core] [118% incumbents] Select and obtain materials and supplies, such as textbooks. DWAs: Select educational materials or equipment. | Order instructional or library materials or equipment. [Supplemental] [118% incumbents] Write grant proposals to procure external research funding. DWAs: Write grant proposals. [Core] [117% incumbents] Evaluate and grade students' class work, assignments, and papers. DWAs: Evaluate student work. [Core] [117% incumbents] Initiate, facilitate, and moderate classroom discussions. DWAs: Guide class discussions. [Core] [117% incumbents] Collaborate with colleagues to address teaching and research issues. DWAs: Research topics in area of expertise. [Core] [117% incumbents] Advise students on academic and vocational curricula and on career issues. DWAs: Advise students on academic or career matters. [Core] [117% incumbents] Serve on academic or administrative committees that deal with institutional policies, departmental matters, and academic issues. DWAs: Serve on institutional or departmental committees. [Supplemental] [117% incumbents] Conduct research in a particular field of knowledge and publish findings in books, professional journals, or electronic media. DWAs: Research topics in area of expertise. | Write articles, books or other original materials in area of expertise. [Supplemental] [117% incumbents] Develop department and course schedules. DWAs: Schedule instructional activities. | Prepare staff schedules or work assignments. | Prepare activity or work schedules. [Supplemental] [117% incumbents] Perform administrative duties, such as serving as department head. DWAs: Direct department activities. [Supplemental] [117% incumbents] Conduct faculty performance evaluations. DWAs: Monitor performance of organizational members or partners. | Evaluate performance of educational staff. [Supplemental] [117% incumbents] Supervise undergraduate or graduate teaching, internship, and research work. DWAs: Supervise student research or internship work. [Supplemental] [117% incumbents] Participate in student recruitment, registration, and placement activities. DWAs: Promote educational institutions or programs. | Perform student enrollment or registration activities. [Supplemental] [117% incumbents] Participate in campus and community events. DWAs: Plan community programs or activities for the general public. [Supplemental] [117% incumbents] Compile bibliographies of specialized materials for outside reading assignments. DWAs: Compile specialized bibliographies or lists of materials. [Core] [116% incumbents] Prepare course materials, such as syllabi, homework assignments, and handouts. DWAs: Develop instructional materials. [Core] [116% incumbents] Maintain regularly scheduled office hours to advise and assist students. DWAs: Advise students on academic or career matters. [Supplemental] [116% incumbents] Act as advisers to student organizations. DWAs: Advise students on academic or career matters. [EMERGING:New] Hire adjunct faculty.
--- SKILLS --- Mathematics (imp:4.25 lvl:4.88) — Using mathematics to solve problems. Speaking (imp:4.12 lvl:4.38) — Talking to others to convey information effectively. Reading Comprehension (imp:4.00 lvl:4.88) — Understanding written sentences and paragraphs in work-related documents. Active Listening (imp:4.00 lvl:4.00) — Giving full attention to what other people are saying, taking time to understand Writing (imp:3.88 lvl:4.75) — Communicating effectively in writing as appropriate for the needs of the audienc Critical Thinking (imp:3.88 lvl:4.12) — Using logic and reasoning to identify the strengths and weaknesses of alternativ Learning Strategies (imp:3.88 lvl:4.25) — Selecting and using training/instructional methods and procedures appropriate fo Monitoring (imp:3.88 lvl:4.00) — Monitoring/Assessing performance of yourself, other individuals, or organization Active Learning (imp:3.75 lvl:4.12) — Understanding the implications of new information for both current and future pr Science (imp:2.38 lvl:2.25) — Using scientific rules and methods to solve problems. --- KNOWLEDGE --- Mathematics (imp:4.87 lvl:6.51) — Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their appl Education and Training (imp:4.19 lvl:5.15) — Knowledge of principles and methods for curriculum and training design, teaching English Language (imp:3.81 lvl:4.40) — Knowledge of the structure and content of the English language including the mea Computers and Electronics (imp:3.43 lvl:4.28) — Knowledge of circuit boards, processors, chips, electronic equipment, and comput Customer and Personal Service (imp:2.74 lvl:3.08) — Knowledge of principles and processes for providing customer and personal servic Administration and Management (imp:2.44 lvl:2.55) — Knowledge of business and management principles involved in strategic planning, Physics (imp:2.41 lvl:2.70) — Knowledge and prediction of physical principles, laws, their interrelationships, Psychology (imp:2.34 lvl:2.58) — Knowledge of human behavior and performance; individual differences in ability, Personnel and Human Resources (imp:2.32 lvl:2.87) — Knowledge of principles and procedures for personnel recruitment, selection, tra Administrative (imp:2.28 lvl:2.57) — Knowledge of administrative and office procedures and systems such as word proce Communications and Media (imp:1.99 lvl:1.94) — Knowledge of media production, communication, and dissemination techniques and m Public Safety and Security (imp:1.86 lvl:1.55) — Knowledge of relevant equipment, policies, procedures, and strategies to promote Engineering and Technology (imp:1.73 lvl:1.49) — Knowledge of the practical application of engineering science and technology. Th Design (imp:1.70 lvl:1.59) — Knowledge of design techniques, tools, and principles involved in production of Sociology and Anthropology (imp:1.65 lvl:1.45) — Knowledge of group behavior and dynamics, societal trends and influences, human Telecommunications (imp:1.63 lvl:1.01) — Knowledge of transmission, broadcasting, switching, control, and operation of te Biology (imp:1.61 lvl:1.36) — Knowledge of plant and animal organisms, their tissues, cells, functions, interd Chemistry (imp:1.58 lvl:1.42) — Knowledge of the chemical composition, structure, and properties of substances a Philosophy and Theology (imp:1.57 lvl:1.72) — Knowledge of different philosophical systems and religions. This includes their Therapy and Counseling (imp:1.55 lvl:1.40) — Knowledge of principles, methods, and procedures for diagnosis, treatment, and r Law and Government (imp:1.51 lvl:1.10) — Knowledge of laws, legal codes, court procedures, precedents, government regulat Foreign Language (imp:1.48 lvl:1.11) — Knowledge of the structure and content of a foreign (non-English) language inclu Economics and Accounting (imp:1.44 lvl:0.76) — Knowledge of economic and accounting principles and practices, the financial mar Sales and Marketing (imp:1.42 lvl:1.07) — Knowledge of principles and methods for showing, promoting, and selling products Medicine and Dentistry (imp:1.39 lvl:0.88) — Knowledge of the information and techniques needed to diagnose and treat human i History and Archeology (imp:1.39 lvl:0.85) — Knowledge of historical events and their causes, indicators, and effects on civi Transportation (imp:1.38 lvl:0.92) — Knowledge of principles and methods for moving people or goods by air, rail, sea Mechanical (imp:1.29 lvl:0.74) — Knowledge of machines and tools, including their designs, uses, repair, and main Building and Construction (imp:1.23) — Knowledge of materials, methods, and the tools involved in the construction or r Geography (imp:1.23 lvl:0.58) — Knowledge of principles and methods for describing the features of land, sea, an Production and Processing (imp:1.16) — Knowledge of raw materials, production processes, quality control, costs, and ot Fine Arts (imp:1.16 lvl:0.31) — Knowledge of the theory and techniques required to compose, produce, and perform Food Production (imp:1.08) — Knowledge of techniques and equipment for planting, growing, and harvesting food --- ABILITIES --- Mathematical Reasoning (imp:4.25 lvl:4.75) — The ability to choose the right mathematical methods or formulas to solve a prob Oral Expression (imp:4.12 lvl:4.88) — The ability to communicate information and ideas in speaking so others will unde Number Facility (imp:4.12 lvl:4.62) — The ability to add, subtract, multiply, or divide quickly and correctly. Oral Comprehension (imp:4.00 lvl:5.00) — The ability to listen to and understand information and ideas presented through Written Comprehension (imp:4.00 lvl:4.38) — The ability to read and understand information and ideas presented in writing. Deductive Reasoning (imp:4.00 lvl:4.12) — The ability to apply general rules to specific problems to produce answers that Written Expression (imp:3.88 lvl:4.50) — The ability to communicate information and ideas in writing so others will under Inductive Reasoning (imp:3.88 lvl:4.12) — The ability to combine pieces of information to form general rules or conclusion Speech Clarity (imp:3.88 lvl:4.88) — The ability to speak clearly so others can understand you. Near Vision (imp:3.75 lvl:3.88) — The ability to see details at close range (within a few feet of the observer). Speech Recognition (imp:3.50 lvl:3.25) — The ability to identify and understand the speech of another person. Information Ordering (imp:3.38 lvl:3.50) — The ability to arrange things or actions in a certain order or pattern according Fluency of Ideas (imp:3.12 lvl:3.38) — The ability to come up with a number of ideas about a topic (the number of ideas Originality (imp:3.12 lvl:3.50) — The ability to come up with unusual or clever ideas about a given topic or situa Problem Sensitivity (imp:3.12 lvl:3.25) — The ability to tell when something is wrong or is likely to go wrong. It does no Category Flexibility (imp:3.00 lvl:3.25) — The ability to generate or use different sets of rules for combining or grouping Memorization (imp:3.00 lvl:3.00) — The ability to remember information such as words, numbers, pictures, and proced Selective Attention (imp:2.88 lvl:2.75) — The ability to concentrate on a task over a period of time without being distrac Flexibility of Closure (imp:2.62 lvl:2.50) — The ability to identify or detect a known pattern (a figure, object, word, or so Time Sharing (imp:2.62 lvl:2.62) — The ability to shift back and forth between two or more activities or sources of Far Vision (imp:2.38 lvl:2.12) — The ability to see details at a distance. Speed of Closure (imp:2.25 lvl:2.25) — The ability to quickly make sense of, combine, and organize information into mea Perceptual Speed (imp:2.12 lvl:2.12) — The ability to quickly and accurately compare similarities and differences among Visualization (imp:2.12 lvl:2.12) — The ability to imagine how something will look after it is moved around or when Trunk Strength (imp:1.88 lvl:1.38) — The ability to use your abdominal and lower back muscles to support part of the Auditory Attention (imp:1.88 lvl:1.00) — The ability to focus on a single source of sound in the presence of other distra Visual Color Discrimination (imp:1.75 lvl:0.88) — The ability to match or detect differences between colors, including shades of c Finger Dexterity (imp:1.62 lvl:0.62) — The ability to make precisely coordinated movements of the fingers of one or bot Wrist-Finger Speed (imp:1.50 lvl:0.62) — The ability to make fast, simple, repeated movements of the fingers, hands, and Hearing Sensitivity (imp:1.50 lvl:0.50) — The ability to detect or tell the differences between sounds that vary in pitch Depth Perception (imp:1.38 lvl:0.38) — The ability to judge which of several objects is closer or farther away from you Spatial Orientation (imp:1.00) — The ability to know your location in relation to the environment or to know wher Arm-Hand Steadiness (imp:1.00) — The ability to keep your hand and arm steady while moving your arm or while hold Manual Dexterity (imp:1.00) — The ability to quickly move your hand, your hand together with your arm, or your Control Precision (imp:1.00) — The ability to quickly and repeatedly adjust the controls of a machine or a vehi Multilimb Coordination (imp:1.00) — The ability to coordinate two or more limbs (for example, two arms, two legs, or Response Orientation (imp:1.00) — The ability to choose quickly between two or more movements in response to two o Rate Control (imp:1.00) — The ability to time your movements or the movement of a piece of equipment in an Reaction Time (imp:1.00) — The ability to quickly respond (with the hand, finger, or foot) to a signal (sou Speed of Limb Movement (imp:1.00) — The ability to quickly move the arms and legs. Static Strength (imp:1.00) — The ability to exert maximum muscle force to lift, push, pull, or carry objects. Explosive Strength (imp:1.00) — The ability to use short bursts of muscle force to propel oneself (as in jumping Dynamic Strength (imp:1.00) — The ability to exert muscle force repeatedly or continuously over time. This inv Stamina (imp:1.00) — The ability to exert yourself physically over long periods of time without getti Extent Flexibility (imp:1.00) — The ability to bend, stretch, twist, or reach with your body, arms, and/or legs. Dynamic Flexibility (imp:1.00) — The ability to quickly and repeatedly bend, stretch, twist, or reach out with yo Gross Body Coordination (imp:1.00) — The ability to coordinate the movement of your arms, legs, and torso together wh Gross Body Equilibrium (imp:1.00) — The ability to keep or regain your body balance or stay upright when in an unsta Night Vision (imp:1.00) — The ability to see under low-light conditions. Peripheral Vision (imp:1.00) — The ability to see objects or movement of objects to one's side when the eyes ar Glare Sensitivity (imp:1.00) — The ability to see objects in the presence of a glare or bright lighting. Sound Localization (imp:1.00) — The ability to tell the direction from which a sound originated. --- WORK ACTIVITIES --- Training and Teaching Others (imp:4.47 lvl:5.40) — Identifying the educational needs of others, developing formal educational or tr Getting Information (imp:4.19 lvl:4.82) — Observing, receiving, and otherwise obtaining information from all relevant sour Working with Computers (imp:4.02 lvl:3.58) — Using computers and computer systems (including hardware and software) to progra Communicating with Supervisors, Peers, or Subordinates (imp:3.96 lvl:4.88) — Providing information to supervisors, co-workers, and subordinates by telephone, Interpreting the Meaning of Information for Others (imp:3.84 lvl:4.83) — Translating or explaining what information means and how it can be used. Making Decisions and Solving Problems (imp:3.81 lvl:3.96) — Analyzing information and evaluating results to choose the best solution and sol Thinking Creatively (imp:3.76 lvl:4.48) — Developing, designing, or creating new applications, ideas, relationships, syste Updating and Using Relevant Knowledge (imp:3.68 lvl:5.13) — Keeping up-to-date technically and applying new knowledge to your job. Coaching and Developing Others (imp:3.58 lvl:4.64) — Identifying the developmental needs of others and coaching, mentoring, or otherw Analyzing Data or Information (imp:3.56 lvl:3.93) — Identifying the underlying principles, reasons, or facts of information by break Establishing and Maintaining Interpersonal Relationships (imp:3.45 lvl:4.43) — Developing constructive and cooperative working relationships with others, and m Documenting/Recording Information (imp:3.41 lvl:3.60) — Entering, transcribing, recording, storing, or maintaining information in writte Organizing, Planning, and Prioritizing Work (imp:3.35 lvl:3.87) — Developing specific goals and plans to prioritize, organize, and accomplish your Identifying Objects, Actions, and Events (imp:3.32 lvl:3.88) — Identifying information by categorizing, estimating, recognizing differences or Processing Information (imp:3.30 lvl:3.82) — Compiling, coding, categorizing, calculating, tabulating, auditing, or verifying Guiding, Directing, and Motivating Subordinates (imp:3.28 lvl:4.02) — Providing guidance and direction to subordinates, including setting performance Developing Objectives and Strategies (imp:3.27 lvl:3.75) — Establishing long-range objectives and specifying the strategies and actions to Performing for or Working Directly with the Public (imp:3.21 lvl:3.49) — Performing for people or dealing directly with the public. This includes serving Providing Consultation and Advice to Others (imp:3.11 lvl:3.78) — Providing guidance and expert advice to management or other groups on technical, Judging the Qualities of Objects, Services, or People (imp:3.03 lvl:3.14) — Assessing the value, importance, or quality of things or people. Coordinating the Work and Activities of Others (imp:3.01 lvl:3.50) — Getting members of a group to work together to accomplish tasks. Performing Administrative Activities (imp:3.01 lvl:3.11) — Performing day-to-day administrative tasks such as maintaining information files Scheduling Work and Activities (imp:2.94 lvl:3.07) — Scheduling events, programs, and activities, as well as the work of others. Assisting and Caring for Others (imp:2.90 lvl:3.05) — Providing personal assistance, medical attention, emotional support, or other pe Communicating with People Outside the Organization (imp:2.81 lvl:3.13) — Communicating with people outside the organization, representing the organizatio Resolving Conflicts and Negotiating with Others (imp:2.60 lvl:3.06) — Handling complaints, settling disputes, and resolving grievances and conflicts, Developing and Building Teams (imp:2.60 lvl:2.74) — Encouraging and building mutual trust, respect, and cooperation among team membe Estimating the Quantifiable Characteristics of Products, Events, or Information (imp:2.57 lvl:2.51) — Estimating sizes, distances, and quantities; or determining time, costs, resourc Monitoring Processes, Materials, or Surroundings (imp:2.52 lvl:2.33) — Monitoring and reviewing information from materials, events, or the environment, Evaluating Information to Determine Compliance with Standards (imp:2.40 lvl:2.08) — Using relevant information and individual judgment to determine whether events o Staffing Organizational Units (imp:2.24 lvl:1.99) — Recruiting, interviewing, selecting, hiring, and promoting employees in an organ Selling or Influencing Others (imp:2.16 lvl:1.98) — Convincing others to buy merchandise/goods or to otherwise change their minds or Inspecting Equipment, Structures, or Materials (imp:2.07 lvl:1.76) — Inspecting equipment, structures, or materials to identify the cause of errors o Controlling Machines and Processes (imp:1.88 lvl:1.47) — Using either control mechanisms or direct physical activity to operate machines Monitoring and Controlling Resources (imp:1.75 lvl:1.84) — Monitoring and controlling resources and overseeing the spending of money. Handling and Moving Objects (imp:1.72 lvl:1.62) — Using hands and arms in handling, installing, positioning, and moving materials, Performing General Physical Activities (imp:1.54 lvl:0.94) — Performing general physical activities includes doing activities that require co Operating Vehicles, Mechanized Devices, or Equipment (imp:1.45 lvl:0.79) — Running, maneuvering, navigating, or driving vehicles or mechanized equipment, s Repairing and Maintaining Electronic Equipment (imp:1.37 lvl:0.72) — Servicing, repairing, calibrating, regulating, fine-tuning, or testing machines, Drafting, Laying Out, and Specifying Technical Devices, Parts, and Equipment (imp:1.20 lvl:0.42) — Providing documentation, detailed instructions, drawings, or specifications to t Repairing and Maintaining Mechanical Equipment (imp:1.09) — Servicing, repairing, adjusting, and testing machines, devices, moving parts, an --- WORK STYLES --- Dependability (imp:4.00) — A tendency to be reliable, responsible, and consistent in meeting work-related o Attention to Detail (imp:3.00) — A tendency to be detail-oriented, organized, and thorough in completing work. Intellectual Curiosity (imp:2.67) — A tendency to seek out and acquire new work-related knowledge and obtain a deep Dependability (imp:2.62) — A tendency to be reliable, responsible, and consistent in meeting work-related o Attention to Detail (imp:2.31) — A tendency to be detail-oriented, organized, and thorough in completing work. Achievement Orientation (imp:2.14) — A tendency to establish and maintain personally challenging work-related goals, Intellectual Curiosity (imp:2.00) — A tendency to seek out and acquire new work-related knowledge and obtain a deep Social Orientation (imp:1.86) — A tendency to seek out, enjoy, and be energized by social interaction at work. Integrity (imp:1.82) — A tendency to be honest and ethical at work. Cooperation (imp:1.77) — A tendency to be pleasant, helpful, and willing to assist others at work. Innovation (imp:1.55) — A tendency to be inventive, to be imaginative, and to adopt new perspectives on Perseverance (imp:1.55) — A tendency to exhibit determination and resolve to perform or complete tasks in Self-Confidence (imp:1.41) — A tendency to believe in one's work-related capabilities and ability to control Stress Tolerance (imp:1.40) — A tendency to cope and function effectively in stressful situations at work. Leadership Orientation (imp:1.39) — A tendency to lead, take charge, offer opinions, and provide direction at work. Self-Control (imp:1.37) — A tendency to remain calm and composed and to manage emotions effectively in res Initiative (imp:1.35) — A tendency to be proactive and take on extra responsibilities and tasks that may Tolerance for Ambiguity (imp:1.22) — A tendency to be comfortable with ambiguity and uncertainty at work. Adaptability (imp:1.22) — A tendency to be open to and comfortable with change, new experiences, or ideas Empathy (imp:1.22) — A tendency to show concern for others and be sensitive to others' needs and feel Cautiousness (imp:1.17) — A tendency to be careful, deliberate, and risk-avoidant when making work-related Sincerity (imp:1.11) — A tendency to be genuine and sincere in interactions with others at work, withou Achievement Orientation (imp:1.00) — A tendency to establish and maintain personally challenging work-related goals, Optimism (imp:0.84) — A tendency to exhibit a positive attitude and positive emotions at work, even un Humility (imp:0.40) — A tendency to be modest and humble when interacting with others at work. Innovation () — A tendency to be inventive, to be imaginative, and to adopt new perspectives on Tolerance for Ambiguity () — A tendency to be comfortable with ambiguity and uncertainty at work. Initiative () — A tendency to be proactive and take on extra responsibilities and tasks that may Adaptability () — A tendency to be open to and comfortable with change, new experiences, or ideas Self-Confidence () — A tendency to believe in one's work-related capabilities and ability to control Perseverance () — A tendency to exhibit determination and resolve to perform or complete tasks in Leadership Orientation () — A tendency to lead, take charge, offer opinions, and provide direction at work. Humility () — A tendency to be modest and humble when interacting with others at work. Sincerity () — A tendency to be genuine and sincere in interactions with others at work, withou Empathy () — A tendency to show concern for others and be sensitive to others' needs and feel Cooperation () — A tendency to be pleasant, helpful, and willing to assist others at work. Optimism () — A tendency to exhibit a positive attitude and positive emotions at work, even un Social Orientation () — A tendency to seek out, enjoy, and be energized by social interaction at work. Cautiousness () — A tendency to be careful, deliberate, and risk-avoidant when making work-related Integrity () — A tendency to be honest and ethical at work. Stress Tolerance () — A tendency to cope and function effectively in stressful situations at work. Self-Control () — A tendency to remain calm and composed and to manage emotions effectively in res --- TRANSFERABLE SKILLS --- Instructing (imp:4.00 lvl:4.25) — Teaching others how to do something. Complex Problem Solving (imp:3.62 lvl:3.62) — Identifying complex problems and reviewing related information to develop and ev Judgment and Decision Making (imp:3.25 lvl:3.38) — Considering the relative costs and benefits of potential actions to choose the m Systems Evaluation (imp:3.12 lvl:3.12) — Identifying measures or indicators of system performance and the actions needed Time Management (imp:3.12 lvl:3.25) — Managing one's own time and the time of others. Social Perceptiveness (imp:3.00 lvl:3.25) — Being aware of others' reactions and understanding why they react as they do. Coordination (imp:3.00 lvl:3.00) — Adjusting actions in relation to others' actions. Service Orientation (imp:3.00 lvl:3.00) — Actively looking for ways to help people. Systems Analysis (imp:2.88 lvl:2.88) — Determining how a system should work and how changes in conditions, operations, Persuasion (imp:2.62 lvl:2.75) — Persuading others to change their minds or behavior. Negotiation (imp:2.50 lvl:2.62) — Bringing others together and trying to reconcile differences. Operations Analysis (imp:2.12 lvl:1.75) — Analyzing needs and product requirements to create a design. Management of Personnel Resources (imp:2.00 lvl:2.12) — Motivating, developing, and directing people as they work, identifying the best Programming (imp:1.75 lvl:0.88) — Writing computer programs for various purposes. Technology Design (imp:1.62 lvl:0.62) — Generating or adapting equipment and technology to serve user needs. Management of Financial Resources (imp:1.62 lvl:0.62) — Determining how money will be spent to get the work done, and accounting for the Management of Material Resources (imp:1.62 lvl:0.75) — Obtaining and seeing to the appropriate use of equipment, facilities, and materi Quality Control Analysis (imp:1.50 lvl:0.50) — Conducting tests and inspections of products, services, or processes to evaluate Operations Monitoring (imp:1.25 lvl:0.25) — Watching gauges, dials, or other indicators to make sure a machine is working pr Equipment Selection (imp:1.00) — Determining the kind of tools and equipment needed to do a job. Installation (imp:1.00) — Installing equipment, machines, wiring, or programs to meet specifications. Operation and Control (imp:1.00) — Controlling operations of equipment or systems. Equipment Maintenance (imp:1.00) — Performing routine maintenance on equipment and determining when and what kind o Troubleshooting (imp:1.00) — Determining causes of operating errors and deciding what to do about it. Repairing (imp:1.00) — Repairing machines or systems using the needed tools.
--- NATIONAL WAGES --- total_employment : 47,670 annual_median : $79,940 annual_pct10 : $49,180 annual_pct25 : $61,690 annual_pct75 : $105,000 annual_pct90 : $139,340 annual_mean : $91,550 hourly_median : N/A --- GEOGRAPHIC DISPERSION --- highest_state : California ($130,680) lowest_state : Arkansas ($54,340) dispersion_ratio : 2.405x --- TOP STATES BY WAGE (49 total) --- Educational Services emp: 47,620 median: $ 79,920 --- TOP INDUSTRIES BY EMPLOYMENT (1 total) --- Educational Services emp: 47,620 median: $ 79,920
exact_match_status : no_exact_match matched_title : N/A match_score : 0.0000 wikidata_qid : N/A word_count : 0 wikipedia_url : N/A license : CC BY-SA 4.0 fetched_at : 2026-06-02T21:03:58.961620Z --- SEMANTIC NEIGHBORS (5) --- Title: Software engineering demographics (similarity: 0.1818) URL: https://en.wikipedia.org/wiki/Software_engineering_demographics QID: Q7554291 Extract: Software engineers make up a significant portion of the global workforce. As of 2022, there are an estimated 26.9 million professional software engineers worldwide, up from 21 million in 2016. Title: Rachel Levy (mathematician) (similarity: 0.3380) URL: https://en.wikipedia.org/wiki/Rachel_Levy_(mathematician) QID: Q55591553 Extract: Rachel Levy is an American mathematician and blogger. She currently serves as the inaugural Executive Director of the North Carolina State University Data Science Academy. She was a 2020-21 AAAS Science and Technology Policy Fellow, serving in the United States Senate and sponsored by the American M Title: Education in China (similarity: 0.3871) URL: https://en.wikipedia.org/wiki/Education_in_China QID: Q757827 Extract: Education in the People's Republic of China is primarily managed by the state-run public education system, which falls under the Ministry of Education. By law, education in the People's Republic of China is led by the Chinese Communist Party (CCP) and adheres to its ideology. All citizens must atten Title: National Center for Education Statistics (similarity: 0.4048) URL: https://en.wikipedia.org/wiki/National_Center_for_Education_Statistics QID: Q1966994 Extract: The National Center for Education Statistics (NCES) is the principal federal agency responsible for collecting, analyzing, and reporting data on education in the United States. Established under 20 U.S.C. § 9541, it operates within the Institute of Education Sciences (IES) under the United States De Title: Women in STEM (similarity: 0.1404) URL: https://en.wikipedia.org/wiki/Women_in_STEM QID: Q6693003 Extract: Many scholars and policymakers have noted that the fields of science, technology, engineering, and mathematics (STEM) have remained predominantly male with historically low participation among women since the origins of these fields in the 18th century during the Age of Enlightenment.
model_pass1 : claude-sonnet-4-20250514
model_pass2 : claude-haiku-4-5-20251001
inference_confidence : high
confidence_notes : High confidence based on comprehensive O*NET data including detailed task descriptions, skill requirements, and educational pathways. BLS wage data provides robust market intelligence, and related occupations clearly establish the academic teaching context.
inferred_at : 2026-06-03T16:49:53.727796+00:00
tokens_input : 4,467
tokens_output : 4,118
cost_usd : $0.044034
wikipedia_used : False
wikipedia_title : None
wikipedia_note : No exact Wikipedia match found for this specific occupation. The closest semantic match was 'Rachel Levy (mathematician)' with 0.338 similarity, providing limited contextual information for this teaching-focused role.
--- PROSE FIELDS ---
ROLE SUMMARY:
Mathematical Science Teachers, Postsecondary are university-level educators who teach courses in mathematics, statistics, and actuarial science while often conducting research in mathematical fields. They deliver lectures on topics ranging from linear algebra to differential equations, develop curricula, and evaluate student progress through examinations and assignments. These professionals combine advanced mathematical expertise with pedagogical skills to prepare students for careers in mathematics, statistics, actuarial science, and related quantitative fields.
DAY IN THE LIFE:
A typical day involves preparing and delivering lectures on mathematical concepts such as linear algebra or differential equations to undergraduate and graduate students. They spend time developing course materials, grading student work, and maintaining detailed records of student attendance and academic progress. Between classes, they collaborate with colleagues on research projects, write grant proposals to secure funding, and stay current with mathematical developments through professional literature. Administrative duties include selecting textbooks and materials, planning curriculum revisions, and facilitating classroom discussions to engage students with complex mathematical theories.
WHO THRIVES:
Individuals who excel in this role possess exceptional mathematical reasoning abilities and can communicate complex quantitative concepts clearly to diverse audiences. They demonstrate high intellectual curiosity, continuously seeking to understand new mathematical developments and innovative teaching methods. Successful mathematical science teachers combine analytical precision with patience and empathy, as they must guide students through challenging problem-solving processes. They thrive on both the solitary nature of mathematical research and the collaborative aspects of teaching, requiring strong written and oral communication skills to publish research and engage students effectively.
CAREER ENTRY:
Entry into this field requires extensive preparation, with 43% holding Master's degrees and 36.8% possessing Doctoral degrees in mathematics, statistics, or related fields. Most positions require demonstrated expertise in specific mathematical areas through coursework, research experience, and often publications in mathematical journals. Teaching experience, whether as graduate teaching assistants or adjunct instructors, provides essential pedagogical preparation for full-time academic positions.
CAREER TRAJECTORY:
Career progression typically follows the academic pathway from Assistant Professor to Associate Professor with tenure, and potentially to full Professor status. Many professionals develop specialized research areas that influence their teaching focus, such as actuarial science, biostatistics, or applied mathematics. Advanced career opportunities include department leadership roles, research center directorships, or positions at prestigious research institutions where teaching loads may be reduced in favor of intensive research activities.
MARKET INTELLIGENCE:
According to BLS OEWS May 2025 data, Mathematical Science Teachers earn a median annual salary of $79,940, with the top 10% earning $139,340 or more. The field employs 47,670 professionals nationally, with significant geographic variation from Arkansas ($54,340) to California ($130,680), reflecting regional differences in higher education funding and cost of living. Educational Services accounts for nearly all employment (47,620 positions), indicating the role's concentration in academic institutions. The 2.40x wage ratio between highest and lowest paying states suggests substantial regional market differences.
AUTOMATION OUTLOOK:
This profession faces low automation risk due to the fundamentally human aspects of teaching, mentoring, and conducting original mathematical research. While technology tools like computer algebra systems and online learning platforms enhance instruction delivery, the core activities of explaining complex concepts, guiding student problem-solving processes, and developing new mathematical insights require human creativity and interpersonal skills. The emphasis on training and teaching others, thinking creatively, and interpreting information for students represents work that remains distinctly human-centered.
--- REASONED EDGES ---
[riasec_cluster] Physics Teachers, Postsecondary (25-1054.00) — confidence:high
reasoning: Both roles share high Social (S) and Investigative (I) RIASEC profiles, reflecting teaching and research orientations.
data: RIASEC S:6.19, I:5.86
data: Related occupation designation
[knowledge_overlap] Computer Science Teachers, Postsecondary (25-1021.00) — confidence:high
reasoning: Shared emphasis on mathematics knowledge and computers/electronics knowledge for quantitative instruction.
data: Mathematics knowledge imp:4.9
data: Computers and Electronics knowledge imp:3.4
[skill_overlap] Economics Teachers, Postsecondary (25-1063.00) — confidence:high
reasoning: Both require mathematical reasoning abilities and statistical analysis skills for quantitative social science instruction.
data: Mathematical Reasoning ability imp:4.2
data: Mathematics skill imp:4.2
[task_similarity] Education Teachers, Postsecondary (25-1081.00) — confidence:high
reasoning: Shared core teaching activities including curriculum development, student evaluation, and instructional delivery.
data: Training and Teaching Others activity imp:4.5
data: Education and Training knowledge imp:4.2
[job_zone] Chemistry Teachers, Postsecondary (25-1052.00) — confidence:high
reasoning: Both classified in Job Zone 5 requiring extensive preparation and advanced degrees for postsecondary instruction.
data: Job Zone 5
data: Doctoral Degree: 36.8%
data: Master's Degree: 43.0%
--- NORMALIZER SIGNALS ---
match_keywords : ['mathematics', 'statistics', 'actuarial', 'algebra', 'calculus', 'differential equations', 'mathematical concepts', 'quantitative']
exclude_keywords : ['K-12', 'elementary', 'secondary', 'high school', 'primary']
title_patterns : ['Math Professor', 'Statistics Professor', 'Mathematics Instructor', 'Actuarial Science Teacher', 'Mathematics Faculty']
common_variations: ['Math Teacher', 'Statistics Teacher', 'Mathematics Professor', 'Adjunct Mathematics Instructor', 'Calculus Professor', 'Algebra Teacher', 'Biostatistics Professor', 'Assistant Professor Mathematics']
total_terms : 40 top_words : ['tendency', 'others', 'equipment', 'mathematical', 'materials', 'research', 'teaching', 'activities', 'principles', 'students', 'science', 'student', 'includes', 'control', 'objects', 'mathematics', 'ideas', 'academic', 'performance', 'human'] source_layers : onet_tasks | onet_dimensions | dwas | wikipedia | inference TERM COUNT FREQ DOMINANT SOURCE SOURCE BREAKDOWN ────────────────────────────────────────────────────────────────────────────────────────── tendency 42 0.01495 onet_dimensions onet_dimensions:100% others 40 0.01423 onet_dimensions onet_dimensions:95% onet_tasks:2% inference:2% equipment 25 0.00890 onet_dimensions onet_dimensions:92% dwas:8% mathematical 22 0.00783 inference inference:68% onet_dimensions:14% wikipedia:14% materials 21 0.00747 onet_dimensions onet_dimensions:48% dwas:24% onet_tasks:19% research 21 0.00747 inference inference:48% onet_tasks:19% dwas:14% teaching 16 0.00569 inference inference:56% onet_dimensions:31% onet_tasks:12% activities 16 0.00569 onet_dimensions onet_dimensions:56% dwas:25% inference:12% principles 16 0.00569 onet_dimensions onet_dimensions:100% students 13 0.00463 inference inference:46% onet_tasks:31% dwas:23% science 13 0.00463 inference inference:46% wikipedia:31% onet_dimensions:15% student 12 0.00427 dwas dwas:42% inference:33% onet_tasks:25% includes 12 0.00427 onet_dimensions onet_dimensions:100% control 12 0.00427 onet_dimensions onet_dimensions:100% objects 12 0.00427 onet_dimensions onet_dimensions:100% mathematics 11 0.00392 inference inference:36% onet_dimensions:27% wikipedia:18% ideas 11 0.00392 onet_dimensions onet_dimensions:100% academic 10 0.00356 inference inference:40% onet_tasks:30% dwas:30% performance 10 0.00356 onet_dimensions onet_dimensions:70% dwas:20% onet_tasks:10% human 10 0.00356 onet_dimensions onet_dimensions:70% inference:30% techniques 10 0.00356 onet_dimensions onet_dimensions:100% body 10 0.00356 onet_dimensions onet_dimensions:100% developing 10 0.00356 onet_dimensions onet_dimensions:80% inference:20% events 9 0.00320 onet_dimensions onet_dimensions:89% onet_tasks:11% problems 9 0.00320 onet_dimensions onet_dimensions:100% needs 9 0.00320 onet_dimensions onet_dimensions:89% dwas:11% problem 9 0.00320 onet_dimensions onet_dimensions:78% inference:22% resources 9 0.00320 onet_dimensions onet_dimensions:100% quickly 9 0.00320 onet_dimensions onet_dimensions:100% orientation 9 0.00320 onet_dimensions onet_dimensions:100% understand 8 0.00285 onet_dimensions onet_dimensions:88% inference:12% procedures 8 0.00285 onet_dimensions onet_dimensions:100% monitoring 8 0.00285 onet_dimensions onet_dimensions:100% rules 8 0.00285 onet_dimensions onet_dimensions:100% providing 8 0.00285 onet_dimensions onet_dimensions:88% inference:12% standards 8 0.00285 onet_dimensions onet_dimensions:100% production 8 0.00285 onet_dimensions onet_dimensions:100% differences 8 0.00285 onet_dimensions onet_dimensions:75% inference:25% actions 8 0.00285 onet_dimensions onet_dimensions:100% performing 8 0.00285 onet_dimensions onet_dimensions:100%