Day, L. (2017). Generalisation through noticing structure in algebraic reasoning. 26th Biennial Conference of the Australian Association of Mathematics Teachers.
“Mathematicians see generalising as lying at the very heart of mathematics” (Mason, Graham & Johnston-Wilder, 2005, p.283). The Australian Curriculum: Mathematics develops number and algebra together as they complement each other. Developing number and algebra together provides opportunities for searching for patterns, conjecturing and generalising mathematical relationships. Further, it allows the focus to be on the process of mathematics and noticing the structure of arithmetic and our number system, rather than the product of arriving at a correct answer.
mathematics, mathematical relationships, process, The Australian Curriculum: Mathematics