Eight volumes. Each one takes a single year of mathematics and works it through the way I work it through in class: the rule, why the rule has to be true, the mistakes that cost real marks, and an examination laboratory with every solution shown.
Every formula is derived rather than listed. Every worked solution has been checked. There is one author, and he teaches one to one.
One volume. Two editions. Both arrive with every purchase.
These are not revision guides. A revision guide summarises what a textbook already said. A Field Guide reconstructs the year: why each rule has to be true, where it breaks, and what an examiner is really asking when a question is phrased a particular way.
Where they stop. A Field Guide cannot notice that your child is guessing. It cannot slow down at exactly the right moment, and it will never know which of the twenty-three facts they only appear to understand. That is what the classes are for.
The volume is typeset twice, from one source. Same page numbers, same worked solutions, same words. Only the paper changes.
Page 11 of Volume I, shown in both editions. All eight volumes are now published in both.
Arithmetic turning into algebra. This is where the habits that decide Grade 11 are actually formed.
Where symbols stop being decoration and start being arguments. Substitution, the balance method, and the first sequences a child can predict rather than continue.
The year algebra acquires moving parts. Index laws derived rather than memorised, brackets opened and closed again, and the first inequalities, where an answer becomes a region.
The year the straight line bends. Simultaneous equations solved three ways, because a student who knows only one way does not yet know why any of them work.
Planned backwards from the date on the paper. Volume VI opens the Geometry series alongside them.
Every quadratic, by every method: factorising, completing the square, the formula, and the judgement to know which one the question is actually asking for. The volume that decides the examination year.
The discriminant with parameters, tangency to the circle, and the moment logarithms stop being a button. Where algebra becomes a way of asking questions about whole families of equations at once.
The geometry every examination is built on. Angle laws that carry their reasons, Pythagoras and the trigonometric ratios, area and volume for every shape, column vectors, loci and constructions.
Written for the student who has already finished what school intends to teach them.
Complex numbers, matrices, and the art of proof: the point at which mathematics stops being calculation and becomes argument. The most demanding volume in the library, and the one written for the student who is already ahead.
Circle theorems held to proof standard, tangents and normals by calculus, and vectors in three dimensions: the same mathematics used to put a spacecraft where it needs to be.
The Field Guides teach the year. This one does the opposite: a thousand questions and nothing else, for the student who already has the mathematics and now has to prove it against a clock.
One thousand questions for the Mathematics section of the digital SAT: 824 sorted by skill across the four tested domains, then 176 assembled into four complete timed papers of 44. Every one carries a full worked solution.
From the language of algebra to vectors in three dimensions, and the geometry every examination is built on. They were written as one work, in sequence, and they read best that way.
If you have already bought a volume, its price is credited in full against your first programme.
Every volume arrives in both editions, so the same page can be printed on cream or read on dark. One purchase, one download, nothing to upgrade to.
Eight volumes in print. A ninth is in preparation.
Delivery, currency and payment are handled at checkout and take under a minute.
| Volume | UK, Ireland | United States, Canada | Australia, New Zealand | Ages |
|---|---|---|---|---|
| I | Year 7 | Grade 6 | Year 7 | 11 to 12 |
| II | Year 8 | Grade 7 | Year 8 | 12 to 13 |
| III | Year 9 | Grade 8 | Year 9 | 13 to 14 |
| IV | Year 10 | Grade 9 | Year 10 | 14 to 15 |
| V | Year 11 | Grade 10 | Year 11 | 15 to 16 |
| VI | Year 11 | Grade 10 | Year 11 | 15 to 16 |
| VII | Year 12 | Grade 11 | Year 12 | 16 to 17 |
| VIII | Year 12 | Grade 11 | Year 12 | 16 to 17 |
If your child sits between two volumes, take the lower one. Nothing is lost by being certain of the year underneath.
Everything in these eight volumes is the part of the teaching that survives being written down. What does not survive is the part where I watch a child work and notice, four seconds before they do, that they are about to guess.
If you want that part, it begins with a complimentary assessment: forty-five minutes with your child, thirty with you, and a written note on what I found. The practice is deliberately small.