Hemel Private Tuition

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Hemel Hempstead Private Tuition for 1:1 tuition in Further Maths, Maths, Science, Chemistry, Biology, Physics, ICT and Computing including Programming, Personal Statements
Starting at year 4 up to A level Over 30 years of private teaching in the town.

There is a considerable difference between being told what happens and watching it happen.One of the things I value most...
02/09/2026

There is a considerable difference between being told what happens and watching it happen.
One of the things I value most about practical science teaching is the moment when an abstract piece of theory suddenly becomes real.
A student may have learned V = IR perfectly well on paper. Then we build a circuit and they actually watch the current change.
They may know the definition of osmosis. Then they measure pieces of plant tissue before and after placing them in different solutions.
They may have practised calculations involving g. Then we suspend a pendulum, measure its period and calculate a value ourselves.
Titration, microscopy, diffraction and countless other practicals do something that worksheets alone cannot always achieve: they connect the model with the phenomenon the model is trying to describe.
Practical work also introduces the untidy part of real science.
Measurements vary. Experiments need repeating. Equipment needs adjusting. Results do not always fit perfectly. Students have to distinguish accuracy from precision, identify anomalous data and decide whether their evidence really supports their conclusion.
Those are not inconveniences. They are part of learning how science actually works.
In my latest article for Philip M Russell Ltd, I explore why practical science can be so valuable in GCSE and A-level tuition — not simply because students need to know the required practicals for examinations, but because physically observing and measuring a phenomenon can transform their understanding of the underlying theory.
Sometimes the most useful words in a science lesson are simply:
"Let's find out."
https://philipmrussell.blogspot.com/2026/09/why-practical-science-can-make-theory.html

Can a shape have dimension 1.26?Students normally learn a wonderfully tidy version of dimension:A line is 1D. A square i...
02/09/2026

Can a shape have dimension 1.26?
Students normally learn a wonderfully tidy version of dimension:
A line is 1D. A square is 2D. A cube is 3D.
Then fractal geometry comes along and makes things much more interesting.
The Koch curve, created by repeatedly replacing sections of a line with smaller copies of the same pattern, has fractal dimension approximately 1.262.
Even stranger, its length increases without limit while it remains confined to a finite region.
The idea becomes particularly powerful when we connect it to the real world.
Why does the measured length of a coastline change when we use a smaller measuring scale?
Why do trees, blood vessels, lungs, river networks and lightning all produce branching structures?
Fractals are an excellent example of mathematics beyond the examination syllabus that is accessible to GCSE and A-level students without requiring university-level techniques.
Students can construct Koch snowflakes and Sierpinski triangles on paper, investigate their sequences in a spreadsheet, generate fractal trees using Python and even estimate the fractal dimension of real objects using box counting.
Most importantly, fractals introduce a deeper mathematical habit:
question the assumptions behind the measurement.
Sometimes the interesting question is not simply "What is the answer?"
It is:
"What exactly do we mean by what we are measuring?"
https://hemelprivatetuition.blogspot.com/2026/09/fractals-measuring-shapes-that-live.html

Atwood's machine is one of my favourite examples of how simple apparatus can reveal sophisticated physics.Two masses are...
01/09/2026

Atwood's machine is one of my favourite examples of how simple apparatus can reveal sophisticated physics.
Two masses are connected by a string over a pulley. By transferring only a few grams from one side to the other, we create a small resultant force capable of accelerating the whole system.
Keep the total moving mass constant and increase the mass difference, and Newton's second law predicts:
a = (m2 - m1)g / (m1 + m2)
So acceleration should increase directly with the driving force.
But the experiment becomes even more valuable when reality fails to match the ideal calculation perfectly.
Pulley friction matters. The pulley itself has rotational inertia. Release technique matters. Timing uncertainty matters.
Suddenly an experiment that begins as a demonstration of F = ma becomes an investigation into modelling, uncertainty and the difference between an ideal physical system and a real one.
That is why classical physics experiments remain so useful. They do not hide the science inside complicated equipment. They put the underlying idea where we can see it.
https://hemelprivatetuition.blogspot.com/2026/09/atwoods-machine-elegant-experiment-that.html

How does a plant know where the light is?It sounds like a simple question until you remember that a plant has no eyes an...
31/08/2026

How does a plant know where the light is?
It sounds like a simple question until you remember that a plant has no eyes and no nervous system like ours.
Charles Darwin and his son Francis investigated the problem using young grass seedlings.
Expose an uncovered seedling to light from one side and it bends towards the light.
Cover its tip with an opaque cap and the response is dramatically reduced.
Use a transparent cap and the response returns.
Most interestingly, cover part of the lower shoot while leaving the tip exposed and the plant can still respond.
The elegant conclusion is that the region detecting the directional light is not necessarily the same region where the bending occurs.
Later research helped reveal the chemical signalling involved, particularly auxin. Greater cell elongation on the shaded side causes the growing shoot to curve towards the light.
I particularly like this experiment because it demonstrates how powerful good experimental design can be.
No expensive laboratory is required.
A few germinating seeds, some tiny caps, a cardboard box and a directional lamp can introduce students to:
phototropism;
plant hormones;
auxin;
controls;
independent variables;
biological variation;
replication;
quantitative measurement;
and, perhaps most importantly, scientific inference.
The equipment is simple.
The biological question is anything but.
Classic experiments remain valuable because they teach us not merely what scientists discovered, but how they worked it out.
https://hemelprivatetuition.blogspot.com/2026/08/darwins-phototropism-experiment-how.html

One of the most useful discoveries when helping an A-level Sociology student is realising that weak examination results ...
30/08/2026

One of the most useful discoveries when helping an A-level Sociology student is realising that weak examination results do not necessarily mean weak sociological understanding.
Give some students the relevant evidence and they can construct a perfectly sensible argument. They can explain a perspective, challenge it and relate it to the question.
The difficulty comes when the textbook disappears.
Names, studies and precise details become harder to retrieve.
That suggests a different approach to revision.
Instead of trying to memorise whole pages, reduce material to small retrieval cues:
Parsons → nuclear family → instrumental and expressive roles
Weeks → chosen families → support, care and diversity
Then practise recalling those cues without the notes.
Gradually move from:
full notes → summary sheet → keywords → closed book → timed answer.
And there is one question I encourage students to ask at the end of every paragraph:
"So how does this actually answer the question?"
Then write that connection explicitly.
Students often know considerably more Sociology than their examination scripts reveal. Our job is to help them make that knowledge retrievable, applicable and visible to the examiner.
https://hemelprivatetuition.blogspot.com/2026/08/a-level-sociology-you-can-construct.html

Can an A-level Computer Science student use Unreal Engine 5 for their NEA?Yes — but the important question is not whethe...
29/08/2026

Can an A-level Computer Science student use Unreal Engine 5 for their NEA?
Yes — but the important question is not whether Unreal is allowed. It is what the student actually programs.
OCR specifically identifies Unreal, Unity and Defold as acceptable game engines, while cautioning against relying on built-in drag-and-drop functionality for the assessed development. AQA also recognises computer games and simulations as suitable project areas.
The danger is obvious.
A student can produce something visually spectacular using templates, marketplace assets, built-in physics, animations and ready-made controllers — while demonstrating relatively little original Computer Science.
For our own teaching we have been developing a jousting game as a way of exploring exactly this distinction.
A good student version could concentrate on:
opponent AI and state machines;
impact modelling;
scoring algorithms;
stamina and stability;
tournament progression;
ranking systems;
structured competitor data;
persistent save data;
systematic testing.
The 3D arena is then simply the environment in which those algorithms operate.
That is the distinction I think students need to understand:
“I built a game in Unreal” is not automatically the same as “I developed a substantial Computer Science solution using Unreal.”
For an NEA, I would choose the second every time.
https://hemelprivatetuition.blogspot.com/2026/08/can-i-develop-a-level-computer-science.html

One of the best practical experiments is one where an equation stops being something students merely rearrange and becom...
28/08/2026

One of the best practical experiments is one where an equation stops being something students merely rearrange and becomes a tool for discovering something they cannot measure directly.
A good example is determining the molar mass of a volatile liquid.
A tiny measured mass of methanol is injected into a gas syringe held in a hot-water bath above its boiling point. The liquid vaporises and expands. Measure its volume, temperature and pressure, then apply:
PV = nRT
and:
M = mRT / PV
A well-run experiment can produce a value remarkably close to methanol's expected molar mass of 32.04 g mol^-1.
But the real educational value goes much further.
Students have to think about trapped air, thermal equilibrium, plunger friction, pressure, volume readings, balance precision and percentage uncertainty. They discover that experimental accuracy depends as much on technique as it does on mathematics.
It also connects several areas of A-level chemistry that can otherwise seem separate: intermolecular forces, vaporisation, moles, gases, temperature, pressure and uncertainty.
That is what practical science does so well. It turns separate syllabus topics into one connected investigation.
Methanol requires appropriate supervised laboratory precautions because it is both toxic and highly flammable, but on an appropriately controlled small scale this is a fascinating demonstration of physical chemistry.
https://hemelprivatetuition.blogspot.com/2026/08/weigh-liquid-measure-gas-and-discover.html

Can hot water freeze faster than cold water?It sounds like a question with an obvious answer.Cold water has a head start...
27/08/2026

Can hot water freeze faster than cold water?
It sounds like a question with an obvious answer.
Cold water has a head start, so surely it must freeze first.
Yet the Mpemba effect describes observations in which an initially hotter sample can sometimes freeze before a cooler one.
For me, however, the most interesting part isn't whether we can produce the effect once.
It is what happens when we start asking better questions.
What do we mean by "frozen"?
Do we mean reaching 0°C?
The first appearance of ice?
Or becoming completely solid?
Then come the experimental variables: evaporation, convection, dissolved gases, supercooling, nucleation, container geometry, freezer position and even the precise position of the temperature probe.
Suddenly a simple cup of water becomes an excellent lesson in experimental science.
This is exactly the sort of investigation I like students to experience beyond the confines of the GCSE or A-level specification. Rather than being told the expected result, they can collect a complete temperature-time curve, repeat the experiment and decide whether the evidence really supports the claim.
And if the colder water wins every time?
That isn't a failed experiment.
That is a result.
Perhaps the greatest lesson of the Mpemba story is the one demonstrated by Erasto Mpemba himself: when observation and expectation disagree, asking "why?" is far more scientific than saying "that can't happen."
https://hemelprivatetuition.blogspot.com/2026/08/the-mpemba-effect-can-hot-water-really.html

Are some infinities bigger than others?It sounds almost like a trick question.Students meet infinity throughout school m...
26/08/2026

Are some infinities bigger than others?
It sounds almost like a trick question.
Students meet infinity throughout school mathematics, but rarely have the opportunity to investigate what infinity actually means.
Hilbert's Hotel provides a wonderful starting point.
Imagine an infinitely large hotel in which every room is occupied. One additional guest arrives. The hotel can accommodate them simply by moving the guest in room n to room n + 1.
Then infinitely many new guests arrive.
Move everyone already in the hotel from room n to room 2n and every odd-numbered room becomes available.
Already our intuition about numbers is beginning to struggle.
The next surprise is even greater.
The counting numbers, integers and rational numbers are all countably infinite. In a precise mathematical sense, there are as many fractions as there are counting numbers.
But Cantor's diagonal argument proves that the real numbers cannot be placed into such a list.
Their infinity is larger.
For me, this is exactly why there should occasionally be room in mathematics education for material beyond the specification.
Students need techniques and examination skills, but they should also see some of the ideas that make mathematics genuinely extraordinary.
Sometimes the best mathematical question is not:
"Will this be on the exam?"
but:
"How can that possibly be true?"
https://hemelprivatetuition.blogspot.com/2026/08/are-some-infinities-bigger-than-others.html

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53 Hilldown Road
Hemel Hempstead
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