Primary maths pedagogy, tools and classroom craft

Primary Maths Craft

Refining the craft of teaching primary mathematics.

A professional space for framework-led writing, diagnostic tools and free classroom resources shaped by the craft of teaching primary mathematics.

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Start with the blog, explore diagnostic intervention tools, or generate free arithmetic practice resources for classroom use.

Blog

Framework thinking and classroom craft

Explore writing on structure, representation, attention and the instructional decisions that shape mathematical understanding.

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InterventionPack resource example
InterventionPack diagnostic example
InterventionPack pupil support example
InterventionPack teaching example
InterventionPack worksheet example
InterventionPack planning example
InterventionPack resource preview

InterventionPack

Diagnostics that lead to intervention

Identify misconceptions, group pupils by need and move from assessment evidence to targeted teaching action.

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Arithmetic generated slide example
Arithmetic worksheet example
Arithmetic retrieval slide example
Arithmetic answer slide example
Arithmetic resource preview

Free Arithmetic Tools

Free arithmetic practice generator

Generate structured retrieval, warm-up, worksheet and answer slides designed to support purposeful arithmetic practice.

Open free arithmetic tools →
Phil Hackett, founder of Primary Maths Craft

Behind Primary Maths Craft

Phil Hackett

Primary mathematics specialist, teacher and creator of Primary Maths Craft.

Primary Maths Craft is written by Phil Hackett, a primary mathematics specialist with over 12 years’ experience teaching across every primary year group. His work focuses on the craft of teaching mathematics: the precise instructional decisions that shape how pupils encounter, understand and remember mathematical ideas.

Phil’s expertise has been built through years of classroom practice, sustained engagement with NCETM and Maths Hub approaches, research-informed study, and specialist leadership development through the NPQLPM. His work brings together the practical reality of the classroom with a deep interest in how mathematical understanding is developed.

His expertise is not in abstract mathematics, but in the teaching of mathematics: how primary pupils meet new ideas, where misconceptions form, and how careful instruction can help pupils build secure, connected understanding.

More about Phil and PMC

The Primary Maths Craft Framework

The Architect, the Artist and the Conductor

Primary Maths Craft is built around three interconnected aspects of expert classroom practice. Together, they describe how teachers structure mathematical ideas, reveal them clearly, and direct pupils’ attention towards what matters.

The Architect

Structure

How mathematical ideas are built, sequenced and connected across lessons, units and year groups.

The Artist

Representation

How representations, examples and tasks reveal the structure of the mathematics clearly.

The Conductor

Attention

How teachers direct pupils’ attention towards the mathematical structures, relationships and ideas that matter.

Latest from the blog

Latest Writing

Recent posts exploring the craft of teaching primary mathematics, including structure, representation, mathematical attention, fluency, diagnostic assessment and the decisions that shape pupil understanding.

Directing Mathematical Attention

Making mathematics visible is not enough. This post explores the role of the Conductor in directing pupils’ attention towards the structures, relationships and ideas that matter, showing how...

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Primary Maths Craft

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Primary Maths Craft

Primary Maths Craft is a professional primary mathematics blog sharing classroom-focused writing, reflections and free resources for teachers and school leaders.

The site is run independently by Phil Hackett as a professional education blog. Resources are currently shared free for professional and classroom use. No paid products are currently sold through this website.

Views and resources shared on Primary Maths Craft are Phil Hackett’s own and are not written on behalf of any employer, school, trust or external organisation.

© Primary Maths Craft. All rights reserved.
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