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Courses & sessions

Here you can find an overview of every course and the session types. Open a course to see its details.

AP EconomicsBook →

AP Economics

The goal: Understand how markets and whole economies really work, and turn that understanding into confident exam answers with correctly labelled graphs.

In short: students learn to understand the graphs, not just draw them, and practise on real exam questions until the format feels familiar.

We follow the College Board course for AP Microeconomics and AP Macroeconomics unit by unit. Both exams have the same shape, so we train for it from the first lesson.

The exam

  • MCQ60 multiple-choice questions in 70 minutes, about two thirds of the score. Many need a quick calculation or a graph read in seconds.
  • FRQ3 free-response questions in 60 minutes: one long question (10 points) and two short ones (5 points each). Each one asks you to draw, label and explain.

What we learn

Basic economic conceptsSupply and demandCosts and perfect competitionMonopoly and oligopoly (game theory)Factor marketsMarket failure and governmentGDP, unemployment and inflationAggregate demand and supplyThe financial sectorMonetary and fiscal policyOpen economy: trade and exchange rates

What I pay attention to

  • Graphs drawn and labelled correctly every time: axes, curves, equilibrium, the shift and its direction
  • Cause-and-effect chains written step by step, the way free-response questions are marked
  • Calculations: elasticity, profit, the multiplier, the money multiplier
  • Reading a question carefully: "ceteris paribus", short run or long run, which market
  • Linking micro and macro: how one market's story connects to the whole economy

History and connections: We meet Adam Smith, Alfred Marshall, John Maynard Keynes and Milton Friedman, and the events that shaped their ideas, from the Great Depression to the 2008 financial crisis. Where it helps, we use maths (slopes, areas of triangles, percentages) and history to make a topic clear.

How we work

  1. 1Dialogue, not a lectureWe learn through discussion: I ask, you think out loud. Then we swap roles and you explain the idea to me, as if I were the student. Teaching it back is the fastest way to find a gap, and it sharpens how you speak and write about economics.
  2. 2Build the graph, then read itWe never just copy a diagram. We build it from the logic: why the curve slopes this way, what moves along it and what shifts it. Then you learn to read what the graph says and to draw it from memory.
  3. 3Real cases and current eventsEvery idea is tested on what is happening in the world now: prices, central bank decisions, taxes, trade disputes, news and data.
  4. 4Exam techniqueWe practise on real past questions and read the mark schemes together, so you know exactly what earns the marks and how to set out an answer.
  5. 5Critique and defendWe look for the weak points of a model or a policy, and you learn to defend your own view with clear arguments and evidence.
  6. 6Independent work and reviewStep by step you learn to research, read and think on your own. After each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems, short cases and graphs. We review it together, so every mistake becomes a lesson.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
IB EconomicsBook →

IB DP & MYP Economics

The goal: Think like an economist: not only explain a theory, but apply it to a real case and evaluate it with evidence.

In short: students learn to use economics on real news and real countries, with guidance on every assessed part, including the IA and the Extended Essay.

The Diploma course has four units: Introduction to economics, Microeconomics, Macroeconomics and The global economy. Every answer is linked to the key concepts of the course: scarcity, choice, efficiency, equity, economic well-being, sustainability, change, interdependence and intervention.

How you are assessed

  • P1Extended response (1 h 15 min): explain with a diagram, then evaluate using a real-world example. SL 30%, HL 20%.
  • P2Data response (1 h 45 min): read data and a text, calculate, draw, and write a policy recommendation. SL 40%, HL 30%.
  • P3HL only. Policy paper (1 h 45 min): quantitative questions and a policy recommendation for a country. 30%.
  • IAPortfolio of three commentaries on real news articles, each on a different unit and a different key concept. SL 30%, HL 20%.

What we learn

MicroeconomicsMacroeconomicsThe global economyDevelopment economicsHL extensionsKey conceptsInternal AssessmentExtended EssayMYP foundations

What I pay attention to

  • Evaluation that earns marks: short run and long run, stakeholders, winners and losers, priorities
  • Real-world examples in every answer, ready before the exam
  • For HL students: the extra theory and calculations that are not on the Standard Level course (for example the theory of the firm and the multiplier) and the quantitative work of Paper 3
  • Case study discussions: you take a side and defend it
  • IA commentaries built on fresh news articles, and a focused research question for the Extended Essay

History and connections: We discuss the people and moments behind the theory: from Adam Smith and Keynes to the debates on development, aid and trade. IB economics connects naturally to history, geography and mathematics, and we use those links in your essays.

How we work

  1. 1Dialogue, not a lectureWe learn through discussion: I ask, you think out loud. Then we swap roles and you explain the idea to me, as if I were the student. Teaching it back is the fastest way to find a gap, and it sharpens how you speak and write about economics.
  2. 2Build the graph, then read itWe never just copy a diagram. We build it from the logic: why the curve slopes this way, what moves along it and what shifts it. Then you learn to read what the graph says and to draw it from memory.
  3. 3Real cases and current eventsEvery idea is tested on what is happening in the world now: prices, central bank decisions, taxes, trade disputes, news and data.
  4. 4Exam techniqueWe practise on real past questions and read the mark schemes together, so you know exactly what earns the marks and how to set out an answer.
  5. 5Critique and defendWe look for the weak points of a model or a policy, and you learn to defend your own view with clear arguments and evidence.
  6. 6Independent work and reviewStep by step you learn to research, read and think on your own. After each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems, short cases and graphs. We review it together, so every mistake becomes a lesson.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
A-Level EconomicsBook →

A-Level Economics

The goal: Know the core theory well and apply it with confidence to multiple-choice questions, data response and essays.

In short: clear theory first, then a lot of practice on real past papers, so students know exactly what each paper asks for.

Most of my A-Level students follow Cambridge International (9708). The course has two stages: AS Level, usually the first year, and the full A Level in the second year. I also teach the Pearson Edexcel specifications.

The papers (Cambridge 9708)

  • P1AS Level, multiple choice: 30 questions in 1 hour.
  • P2AS Level, data response and essays (2 hours).
  • P3A Level, multiple choice: 30 questions on the full course.
  • P4A Level, data response and essays (2 hours).

What we learn

Basic economic ideasThe price systemGovernment microeconomic interventionThe macroeconomyMacroeconomic policiesInternational economic issuesMarket structures (A Level)Labour markets (A Level)

What I pay attention to

  • Diagrams that support the argument, not just decorate it
  • Reading tables and charts quickly and accurately in data response
  • Essays with a clear structure: knowledge, application, analysis, evaluation
  • Strategies for multiple-choice questions, where one careless word costs the mark
  • Practice on past papers in exam time

History and connections: We place the theory in its history (Adam Smith, Marshall, Keynes, Friedman) and in current events, so an essay has real examples and a real argument behind it.

How we work

  1. 1Dialogue, not a lectureWe learn through discussion: I ask, you think out loud. Then we swap roles and you explain the idea to me, as if I were the student. Teaching it back is the fastest way to find a gap, and it sharpens how you speak and write about economics.
  2. 2Build the graph, then read itWe never just copy a diagram. We build it from the logic: why the curve slopes this way, what moves along it and what shifts it. Then you learn to read what the graph says and to draw it from memory.
  3. 3Real cases and current eventsEvery idea is tested on what is happening in the world now: prices, central bank decisions, taxes, trade disputes, news and data.
  4. 4Exam techniqueWe practise on real past questions and read the mark schemes together, so you know exactly what earns the marks and how to set out an answer.
  5. 5Critique and defendWe look for the weak points of a model or a policy, and you learn to defend your own view with clear arguments and evidence.
  6. 6Independent work and reviewStep by step you learn to research, read and think on your own. After each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems, short cases and graphs. We review it together, so every mistake becomes a lesson.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
AP MathematicsBook →

AP Mathematics

The goal: Understand why a method works, not only how to use it, and show your reasoning clearly in the exam.

In short: students learn where the formulas come from, so they make sense, and practise on real exam questions.

I teach AP Calculus AB and BC, AP Precalculus and AP Statistics, following the College Board course units.

The courses

  • ABAP Calculus AB: 8 units, from limits and continuity to derivatives, integrals and differential equations.
  • BCAP Calculus BC: all of AB, plus parametric equations, polar coordinates, vectors and infinite series.
  • PREAP Precalculus: polynomial and rational functions, exponential and logarithmic functions, trigonometric and polar functions.
  • STATAP Statistics: exploring data, collecting data (samples and experiments), probability, and statistical inference.

What we learn

LimitsDerivativesIntegralsDifferential equationsSeries (BC)Functions and modellingProbabilityInference

What I pay attention to

  • Deriving formulas instead of memorising them: where the derivative rules and the integral formulas come from
  • Clear written reasoning: free-response answers are marked on the justification, not just the number
  • Working both with and without a calculator, as the exam requires
  • In statistics: writing conclusions in context, in correct statistical language
  • Checking an answer with a second method

History and connections: We talk about Newton and Leibniz, who invented calculus at the same time, about Pascal and Fermat, whose letters in 1654 started probability theory, and about how calculus became the language of economics (marginal cost is a derivative).

How we work

  1. 1Derive it, don't memorise itBefore we use a formula, we derive it together, so you know where it comes from. A formula you can rebuild is a formula you never forget.
  2. 2Understand the proofWe follow a proof step by step until it makes sense. Maths is not a list of rules: we look for the simple idea that makes each topic work.
  3. 3Flip the roles: you teach meYou explain a method or a proof back to me, as if I were the student. It shows what you really understand, and it trains you to explain your reasoning clearly, in the exam and in life.
  4. 4Exam techniqueWe practise on real past questions and read the mark schemes together: where the method marks come from and how to set out a complete solution.
  5. 5Links to the real worldWe carry ideas from maths into economics, physics and everyday life: growth, chance, motion, money and data.
  6. 6Homework and reviewAfter each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems that build on what we did, from easy to challenging. We review them together.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
A-Level MathematicsBook →

A-Level Mathematics

The goal: Build a strong understanding of pure maths, statistics and mechanics, and solve exam problems with clear, complete methods.

In short: we go through the course paper by paper, with understanding instead of memorising and plenty of past-paper practice.

Most of my students follow Cambridge International (9709). The course is built from separate papers: AS Level usually takes Pure Mathematics 1 plus one more paper, and the full A Level adds more pure maths and applied papers. I also teach the Pearson Edexcel International papers (P1-P4, M1, S1).

The papers (Cambridge 9709)

  • P1Pure Mathematics 1: quadratics, functions, coordinate geometry, series, trigonometry, differentiation and integration. Compulsory.
  • P2Pure Mathematics 2 (AS route): logarithms and exponentials, more trigonometry, differentiation and integration, numerical solutions.
  • P3Pure Mathematics 3 (A Level): vectors, complex numbers, differential equations and more advanced calculus.
  • M1Mechanics: forces, motion and Newton's laws.
  • S1Probability & Statistics 1: data, permutations and combinations, probability, and the binomial and normal distributions.
  • S2Probability & Statistics 2: the Poisson distribution, sampling and hypothesis tests.

What we learn

Pure mathematicsProofCalculusProbabilityStatisticsMechanicsPast papers

What I pay attention to

  • Deriving and understanding formulas, so you never depend on memory alone
  • Complete, well-presented methods: method marks are earned line by line
  • Proof and logical argument
  • Modelling assumptions in mechanics and statistics: what we ignore and why
  • Past-paper practice under exam time

History and connections: We look at where the ideas came from: Newton's laws and his calculus, Pascal and Fermat's letters on chance, Gauss and the normal distribution. We also link maths to economics and physics, so you see what each topic is for.

How we work

  1. 1Derive it, don't memorise itBefore we use a formula, we derive it together, so you know where it comes from. A formula you can rebuild is a formula you never forget.
  2. 2Understand the proofWe follow a proof step by step until it makes sense. Maths is not a list of rules: we look for the simple idea that makes each topic work.
  3. 3Flip the roles: you teach meYou explain a method or a proof back to me, as if I were the student. It shows what you really understand, and it trains you to explain your reasoning clearly, in the exam and in life.
  4. 4Exam techniqueWe practise on real past questions and read the mark schemes together: where the method marks come from and how to set out a complete solution.
  5. 5Links to the real worldWe carry ideas from maths into economics, physics and everyday life: growth, chance, motion, money and data.
  6. 6Homework and reviewAfter each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems that build on what we did, from easy to challenging. We review them together.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
School MathematicsBook →

School mathematics

The goal: Strong foundations and real confidence: maths that makes sense, so the next topics feel easy.

In short: we find the gaps, fill them, and students start to feel that maths makes sense.

Who it's for

  • 6-9Grades 6-9: solid foundations before high school.
  • 10-12Grades 10-12: algebra, functions and geometry for school exams, and the step up to IB, A-Level or AP.
  • GapsStudents who missed topics in earlier years, or moved to a new school system.

What we learn

Fractions and percentagesExponents and rootsAlgebra and equationsFunctions and graphsGeometryWord problems

What I pay attention to

  • Basics that are really solid
  • Understanding why a rule works instead of memorising it
  • Explaining a solution out loud, in your own words
  • Confidence: no question is a silly question
  • Regular practice in small steps

History and connections: Short stories make maths human: why we call it algebra (from al-Khwarizmi's book of the 9th century), how Pythagoras's theorem was known long before Pythagoras, why zero was a great invention.

How we work

  1. 1Derive it, don't memorise itBefore we use a formula, we derive it together, so you know where it comes from. A formula you can rebuild is a formula you never forget.
  2. 2Understand the proofWe follow a proof step by step until it makes sense. Maths is not a list of rules: we look for the simple idea that makes each topic work.
  3. 3Flip the roles: you teach meYou explain a method or a proof back to me, as if I were the student. It shows what you really understand, and it trains you to explain your reasoning clearly, in the exam and in life.
  4. 4Ready for school testsWe practise on questions like the ones in your school tests, and learn to set out a solution clearly and check it.
  5. 5Links to the real worldWe carry ideas from maths into economics, physics and everyday life: growth, chance, motion, money and data.
  6. 6Homework and reviewAfter each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems that build on what we did, from easy to challenging. We review them together.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
University MathematicsBook →

University Calculus

The goal: Understand limits, derivatives and integrals properly: the definitions, the main theorems, why they are true and how they are used.

In short: you understand the theory behind the methods, and you are ready for your course's exams.

Who it's for

  • CoursesUniversity students in calculus, mathematics for economics or mathematics for business, in any year.
  • ExamsStudents preparing for the midterms and finals of their own course.
  • TheoryStudents who want to understand the proofs, not only pass.

What we learn

Limits and continuityThe epsilon-delta definitionDerivativesMean value theoremIntegralsFundamental theorem of calculusSeriesOptimisation

What I pay attention to

  • Precise definitions and how to use them in a proof
  • The main theorems and why they are true
  • Applications in economics: marginal cost and revenue, optimisation, growth
  • Exam-style problems from your course

History and connections: From Newton and Leibniz, who used calculus before anyone could define a limit, to Cauchy and Weierstrass, who made it rigorous in the 19th century. Knowing this story makes the epsilon-delta definition much easier to accept.

How we work

  1. 1Derive it, don't memorise itBefore we use a formula, we derive it together, so you know where it comes from. A formula you can rebuild is a formula you never forget.
  2. 2Understand the proofWe follow a proof step by step until it makes sense. Maths is not a list of rules: we look for the simple idea that makes each topic work.
  3. 3Flip the roles: you teach meYou explain a method or a proof back to me, as if I were the student. It shows what you really understand, and it trains you to explain your reasoning clearly, in the exam and in life.
  4. 4Exam techniqueWe practise on real past questions and read the mark schemes together: where the method marks come from and how to set out a complete solution.
  5. 5Links to the real worldWe carry ideas from maths into economics, physics and everyday life: growth, chance, motion, money and data.
  6. 6Homework and reviewAfter each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems that build on what we did, from easy to challenging. We review them together.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
Test prep MathsBook →

SAT & PSAT Maths

The goal: Raise your score with a strategy built for you, and walk into the exam calm and prepared.

In short: a diagnostic test, a plan for the weak points, and timed practice on official tests.

The SAT is now digital and adaptive: your result in the first module decides how hard the second one is. The PSAT works the same way.

The Math section

  • 44questions in 70 minutes, in two modules of 22 questions (35 minutes each).
  • 4content areas: Algebra, Advanced Math, Problem-Solving and Data Analysis, Geometry and Trigonometry.
  • DesmosThe built-in graphing calculator can be used for the whole section. We learn when it saves time and when it does not.

What we learn

Linear equations and systemsQuadratics and exponentialsRatios, rates and percentagesData and probabilityGeometry and trigonometryTime management

What I pay attention to

  • Where exactly points are lost
  • Pace: time per question, and doing the first module well
  • Careful reading of word problems
  • Grid-in answers, where there are no options to guess from
  • Calm and focus on exam day

How we work

  1. 1Find the weak pointsWe start with a diagnostic test and see exactly where points are lost.
  2. 2Work on them one by oneEach lesson targets a weak point until it becomes a strong one. We understand the idea, not just the trick.
  3. 3Practise on real testsTimed practice on official practice tests in the Bluebook app, so the real exam feels familiar.
  4. 4Build your own strategyAlong the way we shape a strategy that fits you: timing, question order, when to move on, when to use Desmos.
  5. 5Review every mistakeEach mistake is analysed, and you explain to me why the right answer is right, so the same mistake does not come back.

Homework: Timed sections between lessons. We review each one together and update your strategy.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →
University EconomicsBook →

University Economics

The goal: Rigorous economic theory, and the skills to build, solve and run economic models of your own.

In short: you understand the models, can derive them yourself, and can code and write them up.

Who it's for

  • BABachelor's students in microeconomics, macroeconomics and quantitative courses.
  • MAMaster's students working with economic models.
  • CodeStudents who need MATLAB, Python or LaTeX for assignments and theses.

What we learn

Microeconomic theoryMacroeconomic theoryOptimisationEconomic modellingMATLABPythonLaTeX

What I pay attention to

  • Mathematical derivations you can explain: where each curve and each condition comes from
  • How a graph follows from the model, and what it means
  • Code you understand, line by line
  • Clear write-ups in LaTeX
  • Linking models to real data and real policy

History and connections: We discuss the history of the models we use (from Marshall and Keynes to modern macroeconomics) and the events that tested them, such as the 1970s stagflation and the 2008 financial crisis.

How we work

  1. 1Dialogue, not a lectureWe learn through discussion: I ask, you think out loud. Then we swap roles and you explain the idea to me, as if I were the student. Teaching it back is the fastest way to find a gap, and it sharpens how you speak and write about economics.
  2. 2Build the graph, then read itWe never just copy a diagram. We build it from the logic: why the curve slopes this way, what moves along it and what shifts it. Then you learn to read what the graph says and to draw it from memory.
  3. 3Real cases and current eventsEvery idea is tested on what is happening in the world now: prices, central bank decisions, taxes, trade disputes, news and data.
  4. 4Exam techniqueWe practise on real past questions and read the mark schemes together, so you know exactly what earns the marks and how to set out an answer.
  5. 5Critique and defendWe look for the weak points of a model or a policy, and you learn to defend your own view with clear arguments and evidence.
  6. 6Independent work and reviewStep by step you learn to research, read and think on your own. After each lesson you get homework, and we go through it together: what worked, and why.

Homework: After every lesson: problems, short cases and graphs. We review it together, so every mistake becomes a lesson.

Materials: Access to my books and slides, plus interactive learning resources that let you explore topics and ideas step by step and learn on your own.

Book this course →

Session types

All lessons are online. Times are arranged individually, including for other time zones.

Not sure which course fits?

Send me your curriculum and goals, and I'll suggest a plan.

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