: A Delicate Balance Developing Confidence and Fluency in Mathematics

In this blog, Caitlin reflects on how recommendations from the Education Endowment Foundation guidance report Improving Mathematics in Key Stages 2 and 3 inform the school’s approach to reasoning, mathematical talk, explicit instruction, and targeted intervention at Key Stage 3.

When delivering maths at Key Stage 3, we place a strong emphasis on the use of carefully structured talk tasks to develop pupils’ independence in mathematics. These tasks, embedded within the Ark Mathematics Mastery curriculum, are designed to prompt discussion, exploration, and reasoning, allowing pupils to uncover mathematical structures and relationships for themselves. This reflects the EEF recommendation to ​“teach pupils to recognise and use mathematical structure” and to provide opportunities for pupils to explain, justify, and discuss their mathematical thinking.

The EEF guidance highlights that discussion and dialogue can play an important role in developing mathematical understanding and metacognition, particularly when pupils are encouraged to explain their reasoning and build on the ideas of others. Research also indicates that dialogic talk is central to mathematical reasoning, enabling pupils to organise ideas, identify patterns, and construct logical arguments through interaction with others (Stibbard, Edwards-Groves & Davidson, 2024). By routinely engaging in exploratory discussion, pupils are not simply completing tasks but actively constructing knowledge, which supports deeper understanding and increasing independence over time.

By routinely engaging in these exploratory discussions, pupils are not simply completing tasks but actively constructing knowledge, which in turn supports deeper understanding and increasing independence over time.

Alongside this, our teaching is underpinned by a structured approach of ​“I do, we do, you do”, ensuring that pupils are supported at every stage of their learning journey. This gradual release of responsibility, rooted in well-established research, allows teachers to model mathematical thinking explicitly before guiding pupils through shared practice and ultimately enabling them to work independently (Rosenshine, 2012). This aligns strongly with EEF guidance around the use of explicit instruction, scaffolding, and carefully sequenced learning to reduce cognitive overload and support long-term retention.

This approach is particularly effective in mathematics, where careful scaffolding helps to build confidence while maintaining high expectations for all learners. The EEF guidance stresses that support should enable pupils to access ambitious mathematical thinking rather than narrowing the curriculum or reducing challenge.

To further extend pupils’ thinking, depth questions are integrated throughout lessons, challenging pupils to reason, generalise, and justify their understanding. This aligns with the EEF recommendation to ​“teach pupils strategies for solving problems” by encouraging them to identify patterns, make connections, and apply mathematical reasoning in unfamiliar contexts. It also reflects mastery approaches to mathematics, where carefully designed tasks and variation encourage pupils to make connections and develop deep, secure conceptual understanding rather than relying on procedural fluency alone.

Together, these approaches create a classroom culture in which all pupils are supported to think deeply, articulate their reasoning, and become increasingly independent mathematicians.

Alongside our universal classroom approaches, we place a strong emphasis on structured and targeted intervention to support pupils at key transition points and throughout Key Stage 3. In Year 7, intervention is carefully tailored to bridge gaps in prior learning as pupils transition from Key Stage 2, ensuring that foundational knowledge is secure and that pupils can access the secondary curriculum with confidence. This also aligns closely with the EEF recommendation 8 to ​“support pupils to make a successful transition between primary and secondary school”.

These sessions focus on developing fluency in calculation and equipping pupils with effective strategies for managing number that they can draw upon throughout their time in school, such as bar modelling and part-part-whole representations.

As pupils move into Years 8 and 9, intervention becomes more responsive to the demands of the curriculum, providing additional support that reinforces and pre-teaches key concepts, enabling pupils to engage more successfully in whole-class learning. Crucially, this approach is not about narrowing the curriculum, but about providing the background knowledge and support that pupils need to fully participate and succeed.

We are committed not only to embedding these approaches in our current practice, but also to continually refining and developing our mathematics curriculum so that it supports pupils’ success both now and in the future. As part of this, we are strengthening the links between Key Stage 3 and Key Stage 4, ensuring that the knowledge, skills, and habits of thinking developed in the early years of secondary school prepare pupils effectively for the demands of GCSE mathematics.

This builds on the EEF emphasis on coherent curriculum sequencing and helping pupils to develop connected mathematical understanding over time. By strengthening curriculum links across key stages, we aim to ensure that pupils enter Key Stage 4 with both the confidence and independence required to approach examinations with resilience and understanding.

Alongside this, we are continuing to develop and expand our intervention offer to ensure that a greater number of pupils receive the support they need at the right time. By widening access to targeted intervention and maintaining a consistent approach from Year 7 through to Year 11, we aim to ensure that no pupil falls behind and that all are supported to make sustained progress over time.

In doing so, we remain committed to an inclusive and ambitious model of mathematics education, where every pupil is supported to become a confident, independent mathematician, equipped to succeed in school and beyond.