develop fluent knowledge, skills and understanding of mathematical methods and concepts
reason mathematically, make deductions and inferences, and draw conclusions
comprehend, interpret and communicate mathematical information in a variety of forms appropriate to the information and context
acquire, select and apply mathematical techniques to solve problems
Essentially, maths enables us to describe the World in a formal way.
This then enables us to get machines to interact with it or create simulations that model the real World so we can test hypothesis and predictions safely and efficiently.
The need for transferable skills In recent years, higher education institutions and employers have consistently flagged the need for students to develop a range of transferable skills to enable them to respond with confidence to the demands of undergraduate study and the world of work.
The Organisation for Economic Co-operation and Development (OECD) defines skills, or competencies, as "the bundle of knowledge, attributes and capacities that can be learned and that enable individuals to successfully and consistently perform an activity or task and can be built upon and extended through learning."
Non-routine problem solving – expert thinking, metacognition, creativity.
Systems thinking – decision making and reasoning.
Critical thinking – definitions of critical thinking are broad and usually involve general cognitive skills such as analysing, synthesising and reasoning skills.
ICT literacy - access, manage, integrate, evaluate, construct and communicate3 .
Communication – active listening, oral communication, written communication, assertive communication and non-verbal communication.
Relationship-building skills – teamwork, trust, intercultural sensitivity, service orientation, self-presentation, social influence, conflict resolution and negotiation.
Collaborative problem solving – establishing and maintaining shared understanding, taking appropriate action, establishing and maintaining team organisation.
Adaptability – ability and willingness to cope with the uncertain, handling work stress, adapting to different personalities, communication styles and cultures, and physical adaptability to various indoor and outdoor work environments.
Self-management and self-development – ability to work remotely in virtual teams, work autonomously, be self-motivating and self-monitoring, willing and able to acquire new information and skills related to work.
Students should be able to:
accurately recall facts, terminology and definitions
use and interpret notation correctly
accurately carry out routine procedures or set tasks requiring multi-step solutions
Students should be able to:
make deductions, inferences and draw conclusions from mathematical information
construct chains of reasoning to achieve a given result
interpret and communicate information accurately
present arguments and proofs
assess the validity of an argument and critically evaluate a given way of presenting information.
Students should be able to:
translate problems in mathematical or non-mathematical contexts into a process or a series of mathematical processes
make and use connections between different parts of mathematics
interpret results in the context of the given problem
evaluate methods used and results obtained
evaluate solutions to identify how they may have been affected by assumptions made.
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