Mathematics Curriculum Map

At Garswood, we believe that a bespoke mathematics curriculum is the cornerstone of a child's development.

Mathematics is far more than a set of isolated rules to be memorised; it is a vital tool that helps every student develop as a "whole person."

By moving beyond simple rote learning, we empower our children to fulfil their potential and eventually contribute to the social and economic wellbeing of their community and the wider world.

The Four Stages of Knowing:

How Your Child Learns

Learning maths is not just about arriving at the right answer; it is about developing different layers of understanding that become more secure over time. At Garswood, we break down each mathematical objective into four distinct stages:

• Instant Recall & Facts ("I know that..."): These are the essential components, such as number bonds and times tables. We call this "sticky knowledge at speed"—the factual information children can recall instantly.

• Methods & Steps ("I know how..."): This stage focuses on the logical and systematic processes required to solve a calculation. It is the procedural knowledge of which steps to take to reach a goal.

• Strategies & Planning ("I know when..."): This is the "bridge" where facts and methods are combined. It requires a child to plan how they will solve a problem. For example, a child may know how to subtract (method) and know their number bonds (fact), but "Conditional Knowledge" is knowing to use subtraction when they see the word "change" in a shop-based word problem.

• Deep Understanding ("I know why..."): This is the final goal of every unit. Conceptual understanding is reached when a child understands the underlying logic of the maths they are performing.

The "So What?" We place high importance on "sticky knowledge at speed." This is supported by daily ten-minute sessions called KIRFs (Key Instant Recall Facts). These lead to SIRFs (Specific Instant Recall Facts), which are the half-termly targets we check to ensure your child is secure.

When a child can recall facts instantly, their brain is free to tackle the more complex "how," "when," and "why" of a problem.

The Interconnected Web:

Progression from Nursery to Year 6

We view the maths curriculum as a continuous journey. Rather than a series of one-off lessons, ideas are revisited, deepened, and expanded upon every year.

This ensures that the "building blocks" laid in the nursery support the complex structures of Year 6.

Bridging the Vocabulary Deficit through Oracy:

A vital part of this progression is language. We aim to overcome the "vocabulary deficit" by introducing precise mathematical terms early. Whether it is a Nursery child learning to "subitise" or a Year 4 pupil discussing the "associative law," we give our children the tools to explain their thinking.

Crucially, we prioritise Oracy—the ability to talk about mathematics. By using NRich resources, we encourage discussion and debate, which is particularly beneficial for auditory learners. This mathematical talk allows children to communicate their logic and take pride in their expertise.

Making Connections:

Transferrable Ideas and Mastery

At Garswood, "Mastery" is the ultimate aim. A mathematical concept is truly mastered when a child can show it in multiple ways, use mathematical language to explain their ideas, and—most importantly—independently apply that concept to a new, unfamiliar situation.

To help children recognise relationships and find connections, we utilise STEM sentences. You may hear your child using phrases such as:

• "What do you notice?"

• "True or False?"

• "Spot the mistake."

• "Do it, then explain it."

Deep vs. Deepest Learning

We distinguish between two levels of advanced understanding:

• Deep Learning: This occurs when the "components" of a lesson stick and can be transferred across different mathematical concepts (e.g., using multiplication skills to calculate the area of a shape).

• Deepest Learning: This is our highest goal. It is the moment a child can take what they have learned and apply it to a brand-new context in the wider world (e.g., using their knowledge of area to calculate how much carpet is needed for their bedroom).

The Result:

Confidence, Pride, and Life Skills

The ultimate goal of the Garswood mathematics curriculum is to produce confident, capable mathematicians who take genuine pride in their work.

We don't just want children to "do" maths; we want them to feel prepared to use their knowledge to contribute to society.

The Impact on Your Child By following this carefully selected, bespoke path from their first day in Nursery, our students develop:

• Quick Recall: The ability to find facts and procedures instantly through secured SIRF objectives.

• Flexibility: The fluidity to move between different mathematical representations and real-world contexts.

• Emotional Confidence: A firm belief that they will achieve and succeed, supported by our step-by-step approach.

• Pride: High standards of presentation and a deep understanding of their own progress and logic.

This success is only possible because of the bespoke journey your child follows—a path designed to ensure every student leaves Garswood with the mathematical skills, vocabulary, and confidence needed for life.