The subject of maths at primary school is often described as curriculum coverage, lesson structure, and resources. If described in these terms, it can be determined that success comes down to a tick-list of factors which can be planned, quality-checked and prescribed. Yet anybody who has spent time in a classroom will understand that a successful maths lesson requires much more than these factors alone. Success relies far more upon precise instruction, ultra-responsiveness, and a carefully tailored learning culture. Teaching maths, in this sense, is a craft.

To claim and prove that teaching maths is a craft is the premise of this blog space, but what practice qualifies this claim? To directly compare our maths craft with other highly regarded crafts can begin to establish this claim.

The craft of teaching is easy to overlook, even for experienced practitioners. Much of what makes a lesson successful happens via small, often unnoticed decisions within the classroom. This blog aims to bring that craft to the fore – to identify it, examine it, and celebrate it.

Across primary classrooms, quite possibly at the time of reading these words, teachers are practising this craft. Moments of understanding are emerging, misconceptions are being identified and resolved, ideas are beginning to take shape, and mental connections are being created which will last a lifetime. Such amazing feats are taking place every day before immediately moving on to the next lesson, often without pause or recognition.

As I am endeavouring to define the teaching of maths as a craft, it is important to introduce other craft forms to the conversation. Other forms of craft are more readily recognised. A painting that invites sustained attention. An architectural structure that transforms empty space into something purposeful. The orchestral texture of a symphony, where individual parts combine to form something coherent and precise. These are rightly celebrated.

Our work in primary classrooms is no less complex. Teaching a class of thirty pupils – each with different prior knowledge, attention, and confidence – towards a shared mathematical understanding requires careful design and precision. Unlike a gallery or concert hall, the audience has not chosen to be there. Attention cannot be assumed; it must be directed.

In the early years of schooling, the responsibility of the teacher is huge; the class is completely reliant upon the effectiveness of the teacher’s craft, and the success or otherwise will continue to have a profound impact upon every child for the rest of their lives.

To use the architect analogy, teachers work with children to establish a foundation within their developing brains; where once was ‘empty space’, is the space where a teacher is aiming to build something purposeful – a foundation on which children can build connections that will eventually become a complex construction capable of immense processing and forming complex mathematical ideas. Such a construction in the physical world, where there was once empty space, would be an awe-inspiring sight.

This role extends beyond the child alone. The teacher, as architect, is also responsible for the design of the lesson itself. The structure of what is presented – the sequencing of ideas, the representations chosen, and the connections made – determines whether the mathematics is revealed clearly or remains hidden. The lesson is not simply delivered; it is constructed.

Alongside this, the teacher takes on the role of the artist. The way mathematics is presented matters. A concept can be shown in ways that either illuminate relationships or reduce them to surface features.

Like a painting that draws the viewer’s eye towards what is most important, the teacher refines how mathematics is seen. The choice of representation, the emphasis placed on particular features, and the clarity of explanation all contribute to whether pupils are able to recognise the underlying structure of the mathematics.

What is presented is not neutral – it determines what pupils are able to see.

The idea of the conductor is also particularly useful here. In a mathematics lesson, the teacher works with a group of learners who are still developing their understanding, not a collection of trained musical specialists. The aim is not individual performance, but collective movement towards understanding.

This requires careful orchestration, adjusting in response to pupils, shaping contributions, and ensuring that key ideas emerge clearly. Eventually, given careful orchestration, something similar to a symphony may be created; an atmospheric creation, a dynamic and productive environment where the group moves together, supporting each other, moving forwards step-by-step, whilst every individual within the group can perform their solos, flourishing and developing a mastery and depth of knowledge unique to their own capabilities.

There is an obvious difference in scale between these forms of craft and our maths craft. However, the work of the classroom shares the same underlying principle: outcomes are shaped by the skill of the craft and the quality of the decisions made in the moment.

To be an expert at the craft of teaching maths does not equate to being an expert mathematician. This is an important distinction to make at an early point in this blog. The subject of maths has often been looked upon with a sense of trepidation by some in the profession, a sense of unease and an unwillingness to get to know the subject presumably out of fear of one’s own mathematical shortcomings.

We are in a different and much-improved world now, educationally speaking, to the one many of us adults grew up in. I have every faith that the children that I have been lucky enough to teach over the last 12 years following the introduction of the mastery approach, will have ended up as highly confident and capable mathematicians with many likely superseding my own mathematical knowledge and understanding.

To conclude, our focus in this blog is the teaching of maths, to provide a pedagogical rationale and base as much as we can within real, lived classroom experiences.

In attempting to qualify the claim that teaching primary maths is a craft, I have used the analogy of the artist, architect and conductor to draw parallels with other widely acknowledged and celebrated crafts. As I address important areas of primary maths throughout this blog, this analogy will be referenced to signpost specific elements of that craft:

The architect designs the structure, the artist reveals it, and the conductor directs attention towards it.