Structure

=Structure= The //Structure// dimension focuses on developing students’ understanding of [|set], [|logic], [|function] and [|algebra]. It is fundamental to the concise and precise nature of mathematics and the generality of its results. Key elements of mathematical structure found in each of the dimensions of Mathematics are membership, operation, [|closure], [|identity], [|inverse], and the [|commutative], [|associative] and [|distributive] properties as well as other notions such as [|recursion] and [|periodic] behaviour. While each of these can be considered in its own right, it is in their natural combination as applied to elements of number, space, function, algebra and logic with their characteristic operations that they give rise to the mathematical systems and structures that are embodied in each of these dimensions. Principal operations for computation with structure include mental, by hand and technology-assisted calculation and [|symbolic] manipulation by calculators, spreadsheets or computer algebra systems, with sets, logic, functions and algebra. (Source: DEECD)