Feynman in Maths
A current example in practice
One element of the Feynman system is currently being trialled within a Further Education college, supporting students resitting GCSE Maths.
Now in its fourth week, the trial focuses on how structured instructional design can improve engagement, participation, and exam readiness — particularly for learners who experience common barriers to starting and sustaining learning.
Feynman is being used in “Maths Mode” to support teachers in refining lesson plans, PowerPoint delivery, and in-class scaffolding. It does not replace teaching. Instead, it strengthens clarity, sequencing, and accessibility — especially within mixed-attainment resit groups.
This work sits alongside the college’s existing systems for assessment, topic targeting, and intervention, and complements independent practice platforms such as Century by focusing specifically on understanding, method selection, and exam thinking .
Understanding the learning barriers: PIPA
A key focus of the trial is addressing four commonly observed learning states, known as PIPA:
Presence
Students are physically in the room, but not fully engaged in the task.
This may appear as distraction, surface-level copying, or attention drifting.
Rather than treating this as a behaviour issue, Feynman supports teachers to:
- reduce cognitive overload
- create clear starting points
- structure attention through visible steps
The result is a stronger “entry point” into learning — helping students connect with the task in the present moment.
Inertia
Students struggle to begin.
This is often expressed as “I don’t know where to start”, even when the student has the underlying skill.
Feynman addresses this by:
- structuring lessons into clear, sequential phases
- reducing ambiguity at the start of tasks
- guiding momentum through small, achievable steps
This helps shift learners from hesitation into action.
Procrastination
Students delay starting or completing work, often without clear reason.
This is not treated as a time-management issue, but as a response to:
- overwhelm
- fear of getting it wrong
- lack of clarity or purpose
Feynman supports teachers to:
- remove “blank page” entry
- provide immediate, low-risk starting tasks
- build meaning through clear method and outcome
This reduces avoidance and increases follow-through.
Acquiescence
Students appear compliant — but are not genuinely engaged.
They may nod, copy, or agree without understanding, often to avoid standing out or making mistakes.
Feynman responds by shifting the classroom dynamic from passive compliance to active thinking:
- encouraging decision-making rather than over-prompting
- using questions that require student input
- treating errors as useful information, not failure
This helps learners move from “going along with it” to actually thinking through the work.
What changes in the classroom
Across the trial, the impact is not driven by new content, but by how learning is structured.
Feynman applies a consistent instructional sequence:
Concrete → Pattern → Symbol → Exam
This ensures that:
- students first understand what is happening
- then recognise the method
- before moving into abstraction
- and finally applying it in exam conditions
This structure reduces cognitive overload, supports working memory, and improves exam method clarity — particularly important for resit learners.
The approach is fully aligned with GCSE exam expectations, including method marks, structured working, and error analysis .
Early observations
While still in progress, early indications from the trial suggest:
- improved task initiation
- reduced “stuck” behaviour at the start of activities
- increased visible participation
- clearer written methods in exam-style questions
Importantly, these shifts are achieved without increasing pressure or workload for learners.
A simple principle
The trial is built on a simple idea:
When the structure of learning becomes clearer,
thinking becomes more available.
Feynman does not attempt to change the learner.
It changes the conditions in which learning happens.
More supporting information:
A Structured Instructional Sequencing Framework
Teacher-directed support for clear explanation, structured reasoning, and exam-faithful mathematical thinking.
The Role of Feynman in Maths
Within the wider Feynman system, this is the mathematics application.
Feynman in Maths supports teachers to move learners from uncertainty to structured understanding through clear sequencing, visible reasoning, and exam-faithful method.
It strengthens:
- conceptual understanding
- structured mathematical reasoning
- confidence in exam conditions
It does not replace teaching, curriculum, or professional judgement.
The Core Instructional Sequence
Concrete → Pattern → Symbol → Exam
Concrete
Meaning is established through visual models, accessible representations, and grounded examples.
Pattern
Structured examples allow learners to recognise the method and see what stays the same.
Symbol
Formal notation is introduced once understanding is secure enough to hold abstraction.
Exam
Learners apply methods independently using full working, accurate notation, and exam structure.
Why This Matters
Many learners do not fail because they lack ability.
They struggle when abstraction arrives before meaning is secure, or when method is presented before the underlying pattern has been understood.
Feynman protects against this by ensuring that mathematical thinking is built in the right order.
The Classroom Reality
Post-16 GCSE and resit classrooms often include:
- Functional Skills consolidation
- Foundation learners building security
- Higher learners resitting
- students affected by attendance gaps, anxiety, or uneven prior teaching
Feynman responds to this through consistent sequencing rather than fragmented pathways.
The depth may vary. The structure remains the same.
How Feynman Fits Into Lessons
| Phase | Contribution |
|---|---|
| Starter | Identify starting point and secure attention |
| Explanation | Concrete → Pattern → Symbol |
| Practice | Structured reasoning with visible method |
| Review | Exam-style application and checking |
| Reflection | Clarify next step and reinforce pattern |
What Feynman in Maths Supports
- clear teacher explanation
- visible step-by-step reasoning
- mixed-attainment teaching with one coherent structure
- stronger transition from understanding to exam performance
How It Connects to the Wider System
Feynman in Maths does not operate alone.
Within the wider Educational Coherence System:
- Sophia supports stabilisation, readiness, and state awareness
- Sophia X supports consistency and alignment across adults
- Feynman supports structured thinking and mathematical learning
Readiness → Consistency → Structured Thinking
In practice, this means Feynman works best when learners are calm enough to engage, adults are responding consistently, and the lesson structure makes thinking visible.
What Feynman in Maths Is
- a teacher-directed instructional framework
- a structure for mathematical explanation and sequencing
- a support for mixed-attainment and post-16 classrooms
- a bridge between understanding and exam-ready method
What Feynman in Maths Is Not
- a tutoring system
- a student-facing AI tool
- a replacement for teaching
- a shortcut around curriculum or professional judgement
Professional Boundaries
- No student data is stored
- No automated decisions are made
- All use remains teacher-led and within institutional systems
Feynman supports clarity.
Teachers lead learning.
Explore Further
To understand Feynman more broadly as part of the wider system of structured thinking, problem solving, and implementation:
Explore the full Feynman framework
In Simple Terms
Meaning first. Method next. Exam discipline after that.
Feynman helps mathematics stay clear, structured, and teachable.
For more detail, speak directly with the founder Marcus Pearson:
- Ring or WhatsApp Marcus on 07931 326 164
- Connect with Marcus on LinkedIn
