§1 · Year 12 · Methods
James went from C to A in Methods.
He thought he was just bad at maths. He was not. He had one gap from early Year 11 that was making every calculus question downstream harder. Once we found it, the rest fell into place.
- Student
- James, Year 12
- Subject
- Mathematical Methods
- Duration
- 3 months
- Sessions
- Weekly 90-minute sessions
- Location
- Brisbane
§2 · The setup
What was happening before.
James was six months out from his external Methods exam, sitting on a C average, and starting to talk like a kid who had quietly given up. His parents got in touch because the gap between how hard he was working and what was actually landing on his report card had stopped making sense.
He had a tutor before us. The tutor was nice. The tutor would explain whichever question James was stuck on, James would nod, and then a week later the same kind of question would catch him out again. Nothing was being rebuilt. Everything was being patched.
The first thing we wanted to know was not "where are you struggling now". It was "where did it last feel easy". For James, that was Methods Unit 1. After that, things started feeling like guesswork.
§3 · What we changed
The actual tutoring decisions.
Three foundation weeks. Then we never looked back.
His tutor, Ben, spent the first two sessions doing a proper diagnostic. Not a worksheet. Actual problems from each unit of the syllabus, with James talking through his working out loud. By session two, the gap was obvious: chain rule. He had memorised the procedure in Year 11 without ever understanding why it was structured the way it was, and that one shaky brick was holding up most of the calculus building above it.
Three sessions were spent rebuilding differentiation from first principles. Limits. Why the chain rule works. Why integration is the inverse. Nothing about exams, nothing about marks. Just the actual mathematics, until James could derive the rule himself rather than recite it. We called those his foundation weeks. From there, the speed at which past papers got easier surprised both of us.
The rest of the time was past papers under timed conditions, with Ben sitting next to him, watching the working as it was written. The feedback was specific. "You skipped a substitution line. The marker cannot tell if you knew that step." "That is method marks gone." Most students lose marks for things they actually know. Fixing the way he wrote, not the way he thought, was worth almost a full letter grade on its own.
§4 · The result
What it added up to.
James sat the external exam two months later and got an A. The bigger thing, the one his mum told us about afterwards, was that he came home from the exam saying it was the first maths exam he had ever felt prepared for. He knew what he was looking at. He had a plan for every question. Even on the ones he was not sure about, he knew how to start.
He is at UQ now, studying engineering. The A in Methods is what got him in.
The grade jump
C to A in one term · 3 months
§5 · In James’s words
I thought I was just bad at maths. Turns out I had one gap from early Year 11 that was making everything else harder. Once my tutor found it, I could not believe how quickly everything else clicked.
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