The Bar Model
A representation used to expose mathematical structure
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Multiplicative Reasoning
Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving
Fractions
Lesson videos addressing the ability to develop a secure understanding and calculate with fractions
Solving problems with two unknowns
Unit 11 – 2 weeks
Numbers 0 to 5
Unit 3 – 2 weeks
Composition of numbers: 0–5
Spine 1: Number, Addition and Subtraction – Topic 1.3
Example lessons
Examples of three of the 15 lessons contained within the Teaching Units
A video overview on teaching for mastery at primary
Debbie Morgan, NCETM Director for Primary, gives a presentation to teachers on teaching for mastery
Problems with two unknowns
Spine 1: Number, Addition and Subtraction – Topic 1.31
Multiplicative Reasoning
A model for professional development, giving teachers the tools and resources to develop multiplicative reasoning skills in KS3 students
Teaching pie charts
How to help students do the calculations needed to construct a very familiar representation
Mastery Myth-busting
We dispel some of the common myths about teaching for mastery
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
Fractions | Year 3
National Curriculum resources for Fractions – Year 3
Addition and Subtraction | Year 2
National Curriculum resources for Addition and Subtraction – Year 2
The Five Big Ideas at Primary - Representation and Structure
Discover how to use Representation and Structure – one of the Five Big Ideas in Teaching for Mastery – to improve maths teaching
Addition and Subtraction | Year 4
National Curriculum resources for Addition and Subtraction – Year 4
Addition and Subtraction | Year 1
National Curriculum resources for Addition and Subtraction – Year 1
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
Multiplication and Division | Year 3
National Curriculum resources for Multiplication and Division – Year 3
Secondary Archive
An archive of all Secondary Round-ups and Magazines
Ratio and Proportion | Year 6
National Curriculum resources for Ratio and Proportion – Year 6
Multiplication and Division | Year 5
National Curriculum resources for Multiplication and Division – Year 5
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
Scale factors, ratio and proportional reasoning
Spine 2: Multiplication and Division – Topic 2.27
Secondary Round-up - May 2021
Our latest Secondary Round-up is now available
Statistics | Year 2
National Curriculum resources for Statistics – Year 2
Probability and Statistics | Key Stage 3
National Curriculum resources for Probability and Statistics – Key Stage 3
Summer holiday reading 2019
A round-up of our recent features, which might stimulate your thinking for September
Teacher collaboration supports mixed-attainment classes
A London school models one possible way to make the transition
Teaching the hardest topics in GCSE maths
Two teachers from South Yorkshire, who lead Work Groups, tell us why teachers should get involved with ‘Challenging Topics at GCSE’
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
Geometry - position and direction | Year 1
National Curriculum resources for Geometry - position and direction – Year 1
Primary Archive
An archive of all Primary Round-ups and Magazines
An unexpected angle to teaching congruent triangles
Secondary teacher, Ben Waine, tells how a student insight uncovered special cases when two sides and an angle (ASS/SSA) do provide conditions for congruency.
Representations in our primary video lessons
Mathematical structure, manipulatives and myth-busting
TRGs: Collaborative professional development in action
Green shoots of Teacher Research Groups (TRGs) are slowly spreading their fronds of mastery exploration across the country
Fractions | Year 2
National Curriculum resources for Fractions – Year 2
Developing a comprehensive maths curriculum
Developing a school curriculum for mathematics, scheme of work and calculation policy
Fractions | Year 6
National Curriculum resources for Fractions – Year 6
Multiplication and Division | Year 1
National Curriculum resources for Multiplication and Division – Year 1
The Five Big Ideas at Secondary – Coherence
Why is coherence one of the Five Big Ideas in Teaching for Mastery?
Meeting the needs of all without ability setting
Removing setting from maths teaching in a three-form entry primary school
Improving children’s confidence in maths starts with parents
What one primary teacher has done to improve children's confidence by engaging parents in learning maths
Guest blog post by a Secondary School Head of Maths
An article by Hande Kiamil, Head of Maths at Mill Hill County High School, in the London Borough of Barnet
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
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
Measurement | Year 3
National Curriculum resources for Measurement – Year 3
Fractions | Year 4
National Curriculum resources for Fractions – Year 4
'They can see it straight away': the impact of Mastering Number
Successful implementation of Mastering Number has brought huge benefits to pupils in a mixed-age class
Reflections on the uptake of AS/A level Maths, AS/A level Further Maths and Core Maths
An article from our Director, Charlie Stripp
Multiplication and Division | Year 6
National Curriculum resources for Multiplication and Division – Year 6
Teaching pie charts
How to help students do the calculations needed to construct a very familiar representation
Mastery Myth-busting
We dispel some of the common myths about teaching for mastery
The Five Big Ideas at Primary - Representation and Structure
Discover how to use Representation and Structure – one of the Five Big Ideas in Teaching for Mastery – to improve maths teaching
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
Secondary Round-up - May 2021
Our latest Secondary Round-up is now available
Summer holiday reading 2019
A round-up of our recent features, which might stimulate your thinking for September
Teaching the hardest topics in GCSE maths
Two teachers from South Yorkshire, who lead Work Groups, tell us why teachers should get involved with ‘Challenging Topics at GCSE’
Specialist Knowledge for Teaching Mathematics (SKTM)
For secondary non-specialists: a new Maths Hubs CPD programme for 2021/22
An unexpected angle to teaching congruent triangles
Secondary teacher, Ben Waine, tells how a student insight uncovered special cases when two sides and an angle (ASS/SSA) do provide conditions for congruency.
Representations in our primary video lessons
Mathematical structure, manipulatives and myth-busting
The Five Big Ideas at Secondary – Coherence
Why is coherence one of the Five Big Ideas in Teaching for Mastery?
Improving children’s confidence in maths starts with parents
What one primary teacher has done to improve children's confidence by engaging parents in learning maths
Guest blog post by a Secondary School Head of Maths
An article by Hande Kiamil, Head of Maths at Mill Hill County High School, in the London Borough of Barnet
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
'They can see it straight away': the impact of Mastering Number
Successful implementation of Mastering Number has brought huge benefits to pupils in a mixed-age class
Reflections on the uptake of AS/A level Maths, AS/A level Further Maths and Core Maths
An article from our Director, Charlie Stripp
The Bar Model
A representation used to expose mathematical structure
Multiplicative Reasoning
Lesson videos on representations in terms of the bar model and double number line are used to support reasoning and problem solving
Fractions
Lesson videos addressing the ability to develop a secure understanding and calculate with fractions
Solving problems with two unknowns
Unit 11 – 2 weeks
Numbers 0 to 5
Unit 3 – 2 weeks
Composition of numbers: 0–5
Spine 1: Number, Addition and Subtraction – Topic 1.3
Problems with two unknowns
Spine 1: Number, Addition and Subtraction – Topic 1.31
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
Using mathematical representations at KS3
Guidance for some of the most useful representations for Key Stage 3 mathematics.
Scale factors, ratio and proportional reasoning
Spine 2: Multiplication and Division – Topic 2.27
Teacher collaboration supports mixed-attainment classes
A London school models one possible way to make the transition
TRGs: Collaborative professional development in action
Green shoots of Teacher Research Groups (TRGs) are slowly spreading their fronds of mastery exploration across the country
Meeting the needs of all without ability setting
Removing setting from maths teaching in a three-form entry primary school
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