Sunday, 27th September — What I'm Seeing Students Struggle With Right Now

It's late September. The new academic year is properly underway, sixth form common rooms are filling up again, and I've spent the last few weeks watching students across subjects hit the same invisible walls. Not because they're not working hard — most of them are — but because there are specific conceptual gaps that tend to surface at exactly this point in the year. So I want to do something a bit different today. Rather than writing about one subject, I'm going to walk through what's actually coming up in sessions right now, across mathematics, sciences, humanities, and beyond. Think of this as a field report from the tutoring room.

Mathematics: The Calculus Moment That Catches Everyone Off Guard

If I had to name the single topic that derails the most A-Level Mathematics students in the UK at this stage of the year, it's the chain rule. Not because it's conceptually outrageous — it isn't — but because most students learn it as a procedure before they understand what it's actually doing. They can write dy/dx = dy/du × du/dx without having any real sense of why that's true.

Here's the way I explain it to students working through AQA or Edexcel A-Level Maths. Imagine you're converting currencies twice. You know how many dollars you get per pound, and how many euros you get per dollar. To find how many euros you get per pound, you multiply. The chain rule is the same idea — you're composing rates of change, not just functions. Once that clicks, differentiation of composite functions stops feeling like memorised magic and starts feeling like logic.

A Worked Example Worth Slowing Down On

Take y = sin(3x² + 1). Most students rush straight into getting an answer. What I always tell my students is to identify the layers first — we've got an outer function (sin of something) and an inner function (3x² + 1). Differentiate the outer, keep the inner unchanged, multiply by the derivative of the inner. That gives us dy/dx = cos(3x² + 1) × 6x.

That final multiplication by 6x is where marks disappear. Students differentiate the outer function perfectly, then simply forget the second half of the rule. In an exam context — whether that's Cambridge CAIE, OCR, or any other board — those dropped marks add up across a paper. Slow down on the structure. Speed will come.

Further Maths and Linear Algebra: When Students Start University

For those of you either taking Further Mathematics at A-Level or transitioning into undergraduate mathematics or engineering mathematics, there's a conceptual leap that nobody quite prepares you for. It's not the difficulty of the content — it's the shift in what "understanding" means.

In school mathematics, understanding often means being able to reproduce a technique. In university linear algebra or differential equations, understanding means being able to reason about structures — to say why something must be true before you've calculated it. I've worked with first-year university students who got straight A*s at A-Level and found themselves genuinely lost in a linear algebra lecture, not because they lacked the mathematical skill, but because nobody had ever asked them to think that way. If you're heading to university next year and want to try our free study tools to bridge that gap, that transition material is worth starting now — not in October of your first year.

Physics: The Mechanics Trap and How to Avoid It

Mechanics is probably the topic in A-Level Physics where I see the sharpest divide between students who "get it" and students who feel like they're guessing. And almost every time, the divide comes down to one thing: whether a student treats free body diagrams as a real tool or as a formality to sketch quickly before writing equations.

Draw the diagram. Label every force with its direction and magnitude. If you've got an object on an inclined plane, resolve forces parallel to the slope and perpendicular to the slope — not horizontally and vertically. That single habit accounts for more marks saved than any amount of formula memorisation. I've had students go from dropping half a question to near-perfect scores just by slowing down at the diagram stage. Proper diagramming isn't a step before the physics. It is the physics.

For GCSE Physics Students in the United Kingdom

At GCSE level — whether you're on the AQA, Edexcel, or WJEC specification — the conceptual demand is different but the same principle applies. If you can't picture what's happening physically, you won't write a coherent answer. I'd always rather a student spend 90 seconds genuinely thinking about what the question is describing than jump straight to an equation. The equation is the last step, not the first.

Chemistry and Organic Chemistry: Why Mechanisms Feel Impossible (And Why They Aren't)

Organic chemistry mechanisms — nucleophilic substitution, electrophilic addition, elimination reactions — these terrify more chemistry students than almost anything else. I think it's because they're usually taught as sequences to memorise rather than as stories with logic.

Here's how I think about it. Every mechanism is essentially about electrons looking for somewhere better to go. Nucleophiles are electron-rich and attack electron-poor sites. Electrophiles do the opposite. If you know which atoms are electron-rich and which are electron-poor in your starting molecule, you can often predict where a reaction will go without having memorised that specific mechanism. That's not a shortcut — it's the actual chemistry. Cambridge CAIE A-Level Chemistry rewards exactly this kind of reasoning in extended response questions.

Economics: Microeconomics vs. Macroeconomics — The Conflation Problem

Every year without fail, I read economics essays — at both GCSE and A-Level — where students muddle microeconomic and macroeconomic reasoning. They'll discuss a firm's pricing decision and then suddenly introduce aggregate demand. Or they'll write about inflation and slip into talking about individual consumer behaviour as if that explains it.

The fix isn't complicated but it does require being deliberate. Before you write a paragraph in an economics essay, ask yourself: am I reasoning about an individual agent (consumer, firm, market) or about the economy as a whole? They require different frameworks, different diagrams, and often lead to different — sometimes opposite — conclusions. Scale matters in economics. Keeping that in mind as you structure an argument will lift the quality of analysis noticeably, particularly for the higher mark bands on Edexcel or AQA A-Level Economics papers.

English Literature and Essay Writing: The Argument Problem

This one comes up constantly. Students write English literature essays — or academic writing more broadly — that are filled with evidence, quotation, and analysis, but which don't actually make a coherent argument. The paragraphs are good individually. The essay as a whole doesn't go anywhere.

The test I give students is this: after writing your essay, underline only the first sentence of each paragraph. Then read those sentences in sequence. If they tell a logical story that builds and develops an argument, you've done it right. If they feel like a list of separate observations, you haven't — and no amount of good close analysis will compensate for the absence of a driving thesis. This applies whether you're writing for OCR A-Level English Literature or submitting a first-year university essay. The marker wants to be led somewhere, not left to assemble the argument themselves.

Psychology and Sociology: Evaluation That Actually Earns Marks

One non-obvious insight I'd share with any psychology or sociology student right now: the word "however" does not constitute evaluation. Writing "however, this study used a small sample size" is not critical thinking — it's template filling. Real evaluation engages with the implications. Why does the small sample matter? Does it mean we can't generalise? To whom? Under what conditions might the finding still hold?

Examiners on AQA A-Level Psychology papers have said as much in their chief examiner reports — and yet the surface-level "however" evaluation persists because students learn evaluation as a checklist rather than as genuine intellectual engagement. Dig deeper. It's not more words you need, it's more thinking.

If You're Looking for Support Across Any of These Subjects

I know that was a lot — and we've only really scratched the surface of each subject. The honest truth is that most of these conceptual gaps aren't things a student can fix alone just by re-reading their notes. They need someone to probe the understanding, ask the awkward follow-up question, and catch the exact moment something slips. That's what a good online tutor does.

If you're a GCSE or A-Level student in the United Kingdom working through any of these subjects and feeling like something isn't quite sticking, it might be worth starting your free 21-day trial and seeing what targeted, one-to-one support actually feels like. And if you're weighing up options for longer-term tutoring support, you can explore our tutoring plans to find what fits your situation.

These last few months before mock season are genuinely the best time to address the gaps — not because of panic, but because there's still enough time to do it properly. Good luck this week. Keep going.