The Mastering Maths approach is exemplified by twelve research lessons, which are designed around five key principles, developed by the sector for the sector, at the start of the Centres for Excellence in Maths (CfEM) programme:
The design of the lessons takes into account both the mathematics to be taught and ways of working in the classroom.
In terms of the mathematics; lessons
address fundamental mathematical ideas/concepts
highlight mathematical structure (e.g. by using context, representations, variation)
foreground common misconceptions through activity that provokes cognitive conflict
provide for a range of likely approaches
connect different areas of mathematics where possible.
In terms of ways of working in the classroom; lessons include:
introduction through a context which is to be considered using mathematics
drawing on, and valuing, students’ prior learning
collaborative work and a culture in which everyone believes everyone can succeed
active and collaborative student engagement on substantial tasks
whole class discussions which emphasise approaches to the mathematics rather than answer-getting and answer-checking
opportunities to develop both understanding and fluency.
Sarah, who took part in the CfEM trial and the Mastering Maths trial, explains why she thinks the mastery approach works.
The lessons are here.
The Desmos self-study materials which introduce the lessons, are here.
Here are The Key Principles and Research Questions for all lessons