The gap tasks

Four suggested gap tasks, each associated with a workshop phase

Breakdown of each workshop phase

Generic breakdown for each multiplicative reasoning workshop phase

Multiplicative Reasoning – all downloads

Links to all the downloadable folders and files in the Multiplicative Reasoning section

Evaluating the professional development

Creating opportunities for teachers to reflect, discuss and record the impact on their practice and thinking

A model for professional development

A suggested programme of professional development (PD) using the materials in this section

The teaching units

The Multiplicative Reasoning teaching units

Multiplicative Reasoning

A model for professional development, giving teachers the tools and resources to develop multiplicative reasoning skills in KS3 students

Teaching for mastery: isn’t it just 'good teaching'?

Emma Patman, a Year 4 teacher, explains how her teaching has been transformed by her exposure to teaching for mastery pedagogy

Primary Archive

An archive of all Primary Round-ups and Magazines

Mastery Magnified

Insight into how teaching for mastery is working in schools

TRGs: Collaborative professional development in action

Green shoots of Teacher Research Groups (TRGs) are slowly spreading their fronds of mastery exploration across the country

A practical way to improve lesson planning in secondary school maths teaching?

An article from our Director, Charlie Stripp

Cross-Phase – Supporting Students to Achieve a L2 Qualification in Maths

Identify and meet the needs of students continuing L2 study at post-16

Support for secondary teachers

Teaching and curriculum guidance for secondary teachers planning students' learning and their own CPD

Teaching for mastery at secondary: is it compatible with putting students in sets?

A visit to two lessons at Tomlinscote School in Frimley, Surrey

England-China teacher exchange 2016/17: Seeing Shanghai teaching at first hand

An article from our Director, Charlie Stripp

Guest blog by Jane Jones HMI, Ofsted

What are the implications for Ofsted evaluation if the mastery principle is followed rigorously?

Using calculators in Years 6 and 7

When should Year 6 and 7 teachers get the calculators out? And how might they use them?

GCSE re-sits: grasping the nettle

An article from our Director, Charlie Stripp

Top tips for teaching GCSE resit

Useful pointers from teachers in a Maths Hub GCSE resit Work Group

Algebra | Year 6

National Curriculum resources for Algebra – Year 6

What is a Maths School?

How can students in your school benefit?

Meeting the needs of all without ability setting

Removing setting from maths teaching in a three-form entry primary school

NCETM Newsletter - March 2019

Our latest NCETM newsletter is now available

Making an impact with Core Maths

We find out why one of the country’s largest post-16 colleges has introduced Core Maths

Maths education: the present, the future, and how to get there

An article from our Director, Charlie Stripp

Using maths storybooks to engage children

Mini ‘stories’ can be an effective way to reveal mathematical structure and are a common feature in some of the best maths textbooks

NCETM Newsletter - April 2020

Learning in lockdown: support for teaching and learning from the NCETM, including new primary video lessons, plus support available from elsewhere, and more

Developing a comprehensive maths curriculum

Developing a school curriculum for mathematics, scheme of work and calculation policy

If it’s Friday, it must be GCSE re-sit

An article from our Director, Charlie Stripp

How can we meet the needs of all pupils without differentiation of lesson content? How can we record progress without levels?

An article from our Director, Charlie Stripp

School sees better results through teaching for mastery

Embracing teaching for mastery in maths has seen pupils’ love for the subject contribute to some exceptional end of year outcomes for all year groups

Geometry - properties of shapes | Year 1

National Curriculum resources for Geometry - properties of shapes – Year 1

Fractions | Year 2

National Curriculum resources for Fractions – Year 2

Fractions | Year 1

National Curriculum resources for Fractions – Year 1

Algebra | Key Stage 3

National Curriculum resources for Algebra – Key Stage 3

How to get students taking Core Maths

We visited USP College in Essex to find out their six steps to effective enrolment in Core Maths

Addition and Subtraction | Year 5

National Curriculum resources for Addition and Subtraction – Year 5

Number and Place Value | Year 3

National Curriculum resources for Number and Place Value – Year 3

Professional development for primary teaching assistants

Ensuring impact, effectiveness and pupil progress

Curriculum prioritisation in primary maths

A term-by-term framework to support planning and teaching

NCETM Newsletter - May 2020

Support for maths learning and teaching during school closures, Primary and Secondary Mastery Specialist recruitment, and other opportunities for 2020/21

‘Not working in ability groups has been a revelation’

Multiplication and Division | Year 3

National Curriculum resources for Multiplication and Division – Year 3

Geometry - properties of shapes | Year 2

National Curriculum resources for Geometry - properties of shapes – Year 2

Addition and Subtraction | Year 4

National Curriculum resources for Addition and Subtraction – Year 4

How can teaching for mastery work in a mixed age class?

A group of schools in Northamptonshire have been addressing this issue, with encouraging results

Number and Place Value | Year 5

National Curriculum resources for Number and Place Value – Year 5

Resources for teachers using the mastery materials

Supplementary content to support use of the Secondary Mastery PD Materials

Using a high quality textbook to support teaching for mastery

We visit the classroom of Hannah Gray, a primary teacher involved in trialling new Singapore-style textbooks, designed to support a mastery approach

Fractions | Year 4

National Curriculum resources for Fractions – Year 4

NCETM Newsletter - January 2019

Welcome to our first newsletter of 2019

Statistics | Year 6

National Curriculum resources for Statistics – Year 6

Nine tips for new secondary heads of maths

How to lead a happy and successful department

Multiplication and Division | Year 2

National Curriculum resources for Multiplication and Division – Year 2

Geometry and Measures | Key Stage 3

National Curriculum resources for Geometry and Measures – Key Stage 3

Secondary Archive

An archive of all Secondary Round-ups and Magazines

Fractions | Year 6

National Curriculum resources for Fractions – Year 6

Teacher collaboration supports mixed-attainment classes

A London school models one possible way to make the transition

Mindset: why is it so important in teaching for mastery?

Liam Colclough, a headteacher in Sheffield, is convinced that to introduce teaching for mastery effectively, a shift in mindset is required

Gap tasks: maximising the impact of Work Groups

We visit Gorse Hill Primary School Work Group in Swindon, and find out how gap tasks are driving powerful changes in pedagogy

Fractions | Year 3

National Curriculum resources for Fractions – Year 3

Measurement | Year 2

National Curriculum resources for Measurement – Year 2

Number and Place Value | Year 4

National Curriculum resources for Number and Place Value – Year 4

Ratio and Proportion | Year 6

National Curriculum resources for Ratio and Proportion – Year 6

Statistics | Year 2

National Curriculum resources for Statistics – Year 2

NCETM Newsletter - February 2020

Our latest NCETM newsletter is now available

Whole-school approach to learning times tables

How groups of primary schools have been introducing a twin-track approach to times-tables learning

Useful tips for tackling multiplicative thinking

Embedding multiplicative thinking across the primary maths curriculum

Geometry - properties of shapes | Year 4

National Curriculum resources for Geometry - properties of shapes – Year 4

Geometry - position and direction | Year 1

National Curriculum resources for Geometry - position and direction – Year 1

How and why one Yorkshire school is teaching Core Maths

A head of maths and Maths Hub Lead talks about the benefits of the qualification

Measurement | Year 4

National Curriculum resources for Measurement – Year 4

Supporting Research, Evidence and Argument

Key texts for the key components of teaching for mastery

Geometry - properties of shapes | Year 3

National Curriculum resources for Geometry - properties of shapes – Year 3

Statistics | Year 3

National Curriculum resources for Statistics – Year 3

NCETM primary resources, support and teacher CPD for 2022/23

A guided tour around what’s on offer for new and experienced primary teachers at the start of the new school year. Updated September 2023

Ten minute read: Q&A with Eugenia Cheng

'Is there a relationship between maths, gender and learning? How might it be characterised?' Dr Eugenia Cheng shares her ideas.

Looking back on ten years of Maths Hubs

Charlie Stripp reflects on ten years of the Maths Hubs Programme

How post-16 Mastery Specialists are leading system change

Based on the underpinning principles of teaching for mastery, the Trailblazers explore ways to develop provision in FE mathematics teaching

Mixed age planning and teaching for mastery

A Work Group looks at ways to manage maths curriculum objectives with two or more year groups in one class

Maths CPD chat

#mathscpdchat, previously managed by the NCETM

How social media is changing my CPD

A primary school maths lead talks about what social media offers to inspire, support and challenge his ways of teaching maths