IHETC School
Mathematics — Lower secondary
The pupil can expand an expression and can solve an equation, but faced with a problem does not know which is being asked. The symptom is recognisable: they pass exercises within a chapter and fail the test that mixes chapters. This is not a memory problem, it is a recognition problem.
What is at stake in this subject
The subject where falling behind becomes irrecoverable fastest, because everything stacks: without fractions, no algebra; without algebra, no equations; without equations, nothing. A gap in year 7 is paid for in year 10.
- Fractions, proportion and percentages
- Algebra and expansion
- Equations and inequalities
- Geometry: figures, transformations, Thales and Pythagoras
- Basic statistics and probability
They apply a rule without knowing when it applies
The pupil can expand an expression and can solve an equation, but faced with a problem does not know which is being asked. The symptom is recognisable: they pass exercises within a chapter and fail the test that mixes chapters. This is not a memory problem, it is a recognition problem.
How the tutor works on it
The tutor works by sorting before solving: « what kind of problem is this? » before « how do we do it? ». It also surfaces missing prerequisites from an earlier year rather than replaying today's lesson, because that is almost always where the cause lies.
- It changes angle when an explanation does not land
- It never gives an exercise answer
- It has the pupil check rather than correcting them
- It goes back to the missing prerequisite, even from an earlier year
Parents' questions
Their marks are fine but they say they understand nothing. Should I worry?
Yes, and it is the most useful signal you can get. Decent marks obtained by mechanical application hold until chapters start combining, usually in year 9 or 10. Tackling it while the marks still hold is vastly easier than after the fall.