Mathematical Science Teachers, Postsecondary

What they do:

Teach courses pertaining to mathematical concepts, statistics, and actuarial science and to the application of original and standardized mathematical techniques in solving specific problems and situations. Includes both teachers primarily engaged in teaching and those who do a combination of teaching and research.

On the job, you would:

  • Evaluate and grade students' class work, assignments, and papers.
  • Compile, administer, and grade examinations, or assign this work to others.
  • Prepare and deliver lectures to undergraduate or graduate students on topics such as linear algebra, differential equations, and discrete mathematics.
  • Prepare course materials such as syllabi, homework assignments, and handouts.
  • Maintain student attendance records, grades, and other required records.
  • Maintain regularly scheduled office hours to advise and assist students.
  • Plan, evaluate, and revise curricula, course content, and course materials and methods of instruction.
  • Initiate, facilitate, and moderate classroom discussions.
  • Select and obtain materials and supplies such as textbooks.
  • Advise students on academic and vocational curricula and on career issues.

Knowledge

  • Mathematics
  • Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
  • Education and Training
  • Knowledge of principles and methods for curriculum and training design, teaching and instruction for individuals and groups, and the measurement of training effects.
  • English Language
  • Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
  • Computers and Electronics
  • Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
  • Customer and Personal Service
  • Knowledge of principles and processes for providing customer and personal services. This includes customer needs assessment, meeting quality standards for services, and evaluation of customer satisfaction.
  • Communications and Media
  • Knowledge of media production, communication, and dissemination techniques and methods. This includes alternative ways to inform and entertain via written, oral, and visual media.
  • Psychology
  • Knowledge of human behavior and performance; individual differences in ability, personality, and interests; learning and motivation; psychological research methods; and the assessment and treatment of behavioral and affective disorders.
  • Physics
  • Knowledge and prediction of physical principles, laws, their interrelationships, and applications to understanding fluid, material, and atmospheric dynamics, and mechanical, electrical, atomic and sub- atomic structures and processes.
  • Clerical
  • Knowledge of administrative and clerical procedures and systems such as word processing, managing files and records, stenography and transcription, designing forms, and other office procedures and terminology.
  • Sociology and Anthropology
  • Knowledge of group behavior and dynamics, societal trends and influences, human migrations, ethnicity, cultures and their history and origins.

Skills

  • Mathematics
  • Using mathematics to solve problems.
  • Critical Thinking
  • Using logic and reasoning to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
  • Reading Comprehension
  • Understanding written sentences and paragraphs in work related documents.
  • Writing
  • Communicating effectively in writing as appropriate for the needs of the audience.
  • Speaking
  • Talking to others to convey information effectively.
  • Instructing
  • Teaching others how to do something.
  • Active Listening
  • Giving full attention to what other people are saying, taking time to understand the points being made, asking questions as appropriate, and not interrupting at inappropriate times.
  • Learning Strategies
  • Selecting and using training/instructional methods and procedures appropriate for the situation when learning or teaching new things.
  • Monitoring
  • Monitoring/Assessing performance of yourself, other individuals, or organizations to make improvements or take corrective action.
  • Complex Problem Solving
  • Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.

Abilities

  • Mathematical Reasoning
  • The ability to choose the right mathematical methods or formulas to solve a problem.
  • Oral Expression
  • The ability to communicate information and ideas in speaking so others will understand.
  • Written Expression
  • The ability to communicate information and ideas in writing so others will understand.
  • Oral Comprehension
  • The ability to listen to and understand information and ideas presented through spoken words and sentences.
  • Written Comprehension
  • The ability to read and understand information and ideas presented in writing.
  • Deductive Reasoning
  • The ability to apply general rules to specific problems to produce answers that make sense.
  • Number Facility
  • The ability to add, subtract, multiply, or divide quickly and correctly.
  • Inductive Reasoning
  • The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
  • Speech Clarity
  • The ability to speak clearly so others can understand you.
  • Near Vision
  • The ability to see details at close range (within a few feet of the observer).

Work Activities

  • Training and Teaching Others
  • Identifying the educational needs of others, developing formal educational or training programs or classes, and teaching or instructing others.
  • Interacting With Computers
  • Using computers and computer systems (including hardware and software) to program, write software, set up functions, enter data, or process information.
  • Interpreting the Meaning of Information for Others
  • Translating or explaining what information means and how it can be used.
  • Updating and Using Relevant Knowledge
  • Keeping up-to-date technically and applying new knowledge to your job.
  • Establishing and Maintaining Interpersonal Relationships
  • Developing constructive and cooperative working relationships with others, and maintaining them over time.
  • Communicating with Supervisors, Peers, or Subordinates
  • Providing information to supervisors, co-workers, and subordinates by telephone, in written form, e-mail, or in person.
  • Making Decisions and Solving Problems
  • Analyzing information and evaluating results to choose the best solution and solve problems.
  • Thinking Creatively
  • Developing, designing, or creating new applications, ideas, relationships, systems, or products, including artistic contributions.
  • Organizing, Planning, and Prioritizing Work
  • Developing specific goals and plans to prioritize, organize, and accomplish your work.
  • Developing Objectives and Strategies
  • Establishing long-range objectives and specifying the strategies and actions to achieve them.

Interests

  • Social
  • Social occupations frequently involve working with, communicating with, and teaching people. These occupations often involve helping or providing service to others.
  • 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.
  • 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.
  • 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.
  • First Interest High-Point
  • Primary-Rank Descriptiveness
  • Third Interest High-Point
  • Tertiary-Cutoff/Rank Descriptiveness
  • Second Interest High-Point
  • Secondary-Cutoff/Rank Descriptiveness
  • 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.
  • 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.

Work Styles

  • Integrity
  • Job requires being honest and ethical.
  • Analytical Thinking
  • Job requires analyzing information and using logic to address work-related issues and problems.
  • Independence
  • Job requires developing one's own ways of doing things, guiding oneself with little or no supervision, and depending on oneself to get things done.
  • Dependability
  • Job requires being reliable, responsible, and dependable, and fulfilling obligations.
  • Concern for Others
  • Job requires being sensitive to others' needs and feelings and being understanding and helpful on the job.
  • Attention to Detail
  • Job requires being careful about detail and thorough in completing work tasks.
  • Self Control
  • Job requires maintaining composure, keeping emotions in check, controlling anger, and avoiding aggressive behavior, even in very difficult situations.
  • Cooperation
  • Job requires being pleasant with others on the job and displaying a good-natured, cooperative attitude.
  • Initiative
  • Job requires a willingness to take on responsibilities and challenges.
  • Social Orientation
  • Job requires preferring to work with others rather than alone, and being personally connected with others on the job.