Professional learning strategies often rely on the belief that teaching and learning outcomes are best when teachers have a clear understanding of students' thinking. This may seem like common sense -- after all, students are active participants in the learning process, so their thinking impacts the outcome. But does research support the…

The authors of this article strongly advocate for a change to the current Australian model of primary education in order to, among other things, establish the concrete practicalities of systematic mathematics thinking thereby limiting the "re-teaching" time required of secondary school mathematics teachers; bring a clear focus to the…