Practice means designed work with feedback — Ericsson’s construct, not Gladwell’s hour ticket.
Where Macnamara et al. 2014 published domain bands (games ~26%, music ~21%, sports ~18%, education ~4%), this page uses those rounded figures and does not invent new precision.
Steps
- Give a harder page
Above grade, untimed first.
Ceiling check.
- Ask for a reason
One written why.
Proof seed.
- Offer a hint ladder
Dynamic assessment.
Zone.
- Log designed practice
Weak problem types, not only mocks.
Ericsson, modestly.
- Find a circle
Club or camp.
Peers.
- Name the flavour
Contest ≠ research.
Honesty.
Checklist
- Ceiling lifted — Grade test may be maxed.
- Reasons written — Not only ticks.
- Coaching named — Hours are a variable.
- No group rank — IMO is not anthropology.
- Girls not written out — No essence story.
- Mentor exists — Gagné catalyst.
- Load checked — Camp ethics.
- ~4% humility for homework — Macnamara education band.
Drills
- Two-speed set — Same idea, then a proof version.
- Hint-then-retry — Dynamic mini-test.
- Explain to a younger student — Teaching as check.
- Contest then open problem — Switch flavours.
- Error journal — Which structure was missed.
Pitfalls
- Speed as destiny — Hides proof minds.
- National league tables as genes — Systems, not essences.
- 10,000-hour posters in algebra — Wrong Macnamara band.
- Harvesting contest children — Medals without a life.
Tools
- Above-level past papers — Honest ceiling.
- A proof notebook — Reasons dated.
- Art of Problem Solving-type communities — Peers, with adult watch.
- SMPY/CTY information in more languages — Access.
Mathematical talent: design the hour; retire the poster. Education is not a diagnosis.