Mathematicians conduct research and improve or develop mathematical concepts, theories and operational methods and techniques and advise on or engage in their practical application in such fields as engineering, business and social and other sciences.
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- Investigative / Conventional
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Mathematics is the study of topics such as quantity, structure, space, and change. It involves the identification of patterns and formulating new conjectures based on them. Mathematicians strive to prove the truth or falsity of these conjectures. There are many fields of mathematics, some of which are widely used for practical applications.
- Scientific modelling
Scientific activity consisting in selecting the relevant aspects of a situation and aiming to represent physical processes, empirical objects and phenomena to allow a better understanding, visualisation or quantification, and to enable simulation that shows how this particular subject would behave under given circumstances.
The study of statistical theory, methods and practices such as collection, organisation, analysis, interpretation and presentation of data. It deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments in order to forecast and plan work-related activities.
The subdiscipline of mathematics that uses formulae, symbols, and equations to represent and manipulate numbers and quantities.
- Scientific research methodology
The theoretical methodology used in scientific research involving doing background research, constructing an hypothesis, testing it, analysing data and concluding the results.
- Think analytically
Produce thoughts using logic and reasoning in order to identify the strengths and weaknesses of alternative solutions, conclusions or approaches to problems.
- Conduct quantitative research
Execute a systematic empirical investigation of observable phenomena via statistical, mathematical or computational techniques.
- Study the relationships between quantities
Use numbers and symbols to research the link between quantities, magnitudes, and forms.
- Create solutions to problems
Solve problems which arise in planning, prioritising, organising, directing/facilitating action and evaluating performance. Use systematic processes of collecting, analysing, and synthesising information to evaluate current practice and generate new understandings about practice.
- Execute analytical mathematical calculations
Apply mathematical methods and make use of calculation technologies in order to perform analyses and devise solutions to specific problems.
- Use logical reasoning
Use cognitive abilities to make decisions and to move logically from one idea to another.
- Apply scientific methods
Apply scientific methods and techniques to investigate phenomena, by acquiring new knowledge or correcting and integrating previous knowledge.