skip to main content
NSW Syllabuses

Working Mathematically

Working Mathematically provides students with the opportunity to engage in genuine mathematical activities and to develop and use their knowledge, fluency and understanding, as well as problem-solving, reasoning, communication and justification skills across the range of topics, objectives and outcomes. 

Working Mathematically is integral to the learning process in mathematics. Where appropriate, students should be provided with opportunities to develop the components of Working Mathematically by participating in a range of learning experiences.

The Working Mathematically diagram shows a central circle labelled Working Mathematically. This is surrounded by six overlapping circles representing the six aspects of Working Mathematically. The aspects are: Fluency –  Recall factual knowledge and concepts, and select and apply appropriate procedures flexibly, accurately and efficiently; Understanding – Make connections between experiences and related concepts, and progressively expand and develop ideas; Justification – Justify strategies and strategic thinking used, conclusions reached and explain the reasonableness of findings, proving results where appropriate; Problem Solving – Interpret, formulate, investigate, model and solve problems, using mathematics in simple and complex, familiar and unfamiliar situations; Reasoning – Analyse, evaluate, explain, infer, generalise, deduce and reach conclusions; Communicating – Describe, represent, formulate, express and explain mathematical situations, concepts, methods and solutions to problems using a variety of presentations utilising appropriate language, notation or diagrams.