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Mathematics: Skills, Abilities and Knowledge


Skills1

  • 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.
  • Complex Problem Solving — Identifying complex problems and reviewing related information to develop and evaluate options and implement solutions.
  • Active Learning — Understanding the implications of new information for both current and future problem-solving and decision-making.
  • Programming — Writing computer programs for various purposes.
  • Writing — Communicating effectively in writing as appropriate for the needs of the audience. Science — Using scientific rules and methods to solve problems.
  • Speaking — Talking to others to convey information effectively.
  • 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.

Abilities

  • Mathematical Reasoning — The ability to choose the right mathematical methods or formulas to solve a problem.
  • Deductive Reasoning — The ability to apply general rules to specific problems to produce answers that make sense.
  • Information Ordering — The ability to arrange things or actions in a certain order or pattern according to a specific rule or set of rules (e.g., patterns of numbers, letters, words, pictures, mathematical operations).
  • Number Facility — The ability to add, subtract, multiply, or divide quickly and correctly.
  • Written Comprehension — The ability to read and understand information and ideas presented in writing.
  • Inductive Reasoning — The ability to combine pieces of information to form general rules or conclusions (includes finding a relationship among seemingly unrelated events).
  • 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.
  • Fluency of Ideas — The ability to come up with a number of ideas about a topic (the number of ideas is important, not their quality, correctness, or creativity).
  • Near Vision — The ability to see details at close range (within a few feet of the observer).
  • Oral Comprehension — The ability to listen to and understand information and ideas presented through spoken words and sentences.

Knowledge

  • Mathematics — Knowledge of arithmetic, algebra, geometry, calculus, statistics, and their applications.
  • Computers and Electronics — Knowledge of circuit boards, processors, chips, electronic equipment, and computer hardware and software, including applications and programming.
  • English Language — Knowledge of the structure and content of the English language including the meaning and spelling of words, rules of composition, and grammar.
  • Engineering and Technology — Knowledge of the practical application of engineering science and technology. This includes applying principles, techniques, procedures, and equipment to the design and production of various goods and services.
  • 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.

1 Excerpted from O*Net OnLine, US Department of Labor by the National Center for O*Net Development

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