Learning Area Outcomes Framework Introduction to the Learning Area Outcomes
A definition and description of the purpose of learning within the learning area:The Learning Outcomes Framework for Mathematics aims to ensure that all learners:
- Become fluent in the fundamentals of mathematics through varied and frequent practice with increasingly complex problems. This enables learners to develop the ability to recall facts and apply knowledge rapidly and accurately.
- Understand and work with mathematical concepts using various approaches. Learners reason mathematically by following a line of enquiry, conjecturing relationships and generalisations and developing an argument, justification or proof using mathematical language.
- See themselves as mathematicians, having the confidence and capability to select and apply their mathematical knowledge and understanding creatively and logically. This enables learners to solve problems, communicate and reason in a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps while persevering in seeking solutions. Learners will be able to create models, predict outcomes and assess risk.
- Appreciate how the imaginative, innovative and effective use of digital technologies can enhance their understanding of the full range of mathematical skills and concepts.
- Understand the usefulness of mathematics, as well as its intrinsic aesthetic nature. This enables learners to appreciate the relevance of mathematics across the curriculum and its importance as a tool shaping our understanding of the world we live in.
- Are equipped with the mathematical competences needed to act as pro-active citizens in the modern world.
Learning Area Outcomes:I understand the structure of the number system and the relationship between numbers.I can calculate mentally and using pencil and paper and assistive technology. I can calculate to the most appropriate level of accuracy. I can check the reasonableness of the answers obtained in calculations by rounding numbers and making rough approximations.I can recognise and describe patterns and relationships in various mathematical ways and use algebraic manipulations.I understand and use various forms of measurement and can make reasonable estimations.I can recognise and describe the properties of shapes. I can use these properties to construct shapes using appropriate mathematical instruments and to prove given geometric statements.I can describe the position of movement and shapes in 2D.I can collect, analyse, interpret and communicate statistical information.I understand the ideas of chance and uncertainty and can work out probability calculations.