Method
How we teach mathematics
Nine steps, applied to every topic. Nothing is skipped, and nothing moves on until the practice and the test say it should.
The same order, every topic
From the idea to the exam
A topic is not finished when it has been taught. It is finished when it has been practised, tested, corrected and revised.
-
Concept
The idea is introduced on its own terms, before any procedure or shortcut.
-
Explanation
Why it works, not only how. A student who understands the reason can rebuild a forgotten step.
-
Worked Examples
The teacher works problems aloud, showing the decisions as well as the arithmetic.
-
Guided Practice
Students attempt problems with the teacher available at each step.
-
Student Practice
Independent work, graded by difficulty, until the method is automatic. Try it here: practice quizzes and maths games.
-
Doubt Clarification
Dedicated time for questions. No doubt is carried into the next chapter.
-
Testing
Short, frequent tests under timed conditions rather than rare long ones. The practice quizzes on this site are short tests of the same kind.
-
Error Analysis
Every mistake is categorised: concept, method or carelessness. Each needs a different fix.
-
Revision
Planned return to earlier topics, spaced so that retention is built rather than hoped for.