Teaching for Mastery in Mathematics is high in the education agenda at present.
Mastery of mathematics is something that we want pupils —all pupils— to acquire, or rather to continue acquiring throughout their school lives, and beyond. Teaching for mastery is already well advanced in many schools, and it forms a key part of work within the Maths Hubs Programme.
NCETM Essence of Teaching for Mastery - A document which describes the 'essence' of teaching for mastery in mathematics.
Some of the resources here are just one element of a sustained professional development process. This involved participation over a period of time by a specific group of teachers together with research and trialling of examples. Resources are shared as is and are offered as materials teachers might want to work with in their own professional development activities.
Self Evaluation
Schools may want to begin their journey to teaching for mastery with the self evaluations documents below to reflect on their current practice:
Primary Teaching for Mastery Self Evaluation - Document (based on the work by www.glowmathshub.com)
Secondary Teaching for Mastery Self Evaluation - Document (based on the work by www.booleanmathshub.org.uk)
EEF Improving Key Stage 2 and 3 Report and Self Evaluation
For more details into teaching for mastery see below.
Recent Additions
Secondary Mastery Professional Developement - These materials therefore offer a more ‘fine-grained’ description of the key themes and big ideas of the curriculum by detailing
themes, concepts and knoeldge.
Mastery Learning - A paper by Tom Guskey about Carroll's and Bloom's models of learning
Interleaved Maths Practice - Booklet by Rohrer, Dedrick and Agarwal about Interleaving maths practice.
Effects of Variation on Children's Learning - A booklet by Anne Watson working with GLOW Mathshub
Mr Barton Podcast - A podcast by Craig Barton
and Helen Williams about Early Years
Mr Barton Podcast - A podcast by Craig Barton and Bernie Westacott about the use of manipulatives
Mastery In Action - A series of videos on NCETM sharing aspects of lessons from the Shanghai teacher exchanges
Improving Maths at KS2 & 3 - EEF Report
Guest Blog - Blog post by Prof J Hodgen on Teaching for Mastery and the EEF Report "Improving Maths at KS2 & 3"
Variation and Mathematical Structure - A paper for the ATM by Anne Watson and John Mason on Variation Theory
Principles & Beliefs
In this section we outline the principles and beliefs around Teaching for Mastery in Mathematics.
We look at what schools should be developing.
Curriculum Design
Considerable time is spent on securing fundamental skills and knowledge in the early stages.
Lesson Design
Lessons are carefully designed and structured to develop the necessary small conceptual steps for mastery.
Examples are chosen carefully to highlight the important conceptual ideas.
Classroom Practice
Use of concrete, pictorial and abstract (CPA) representations are provided and pupils are encouraged to connect and see relations between these different representations.
Productivity
It is important for pupils to develop their procedural fluency alongside conceptual understanding and practice is an important part of achieving this.
Support
The whole class are taught together ensuring that all pupils have access to the important mathematical ideas, skills and concepts.
Differentiation is achieved through questioning and scaffolding rather than by offering different tasks.
Assessment
Assessment values depth of learning, knowing 'why' as well as knowing 'that' and knowing 'how'.
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