Darker cells mean a higher score for this topic on that metric.
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Quick answers
Does this atlas rank groups by IQ, race or nation?
No. Pathways and evidence stay individual. Scores are browsing aids — never group biological or racial ranks.
What did SMPY change?
Above-level SAT at 12–13 revealed residual differences among the already high, and later adult outcomes in STEM.
Are olympiad medals a gift assay?
They measure contest craft under a syllabus. Coaching density (China, Korea, Russia физмат) is already in the score.
Did Ramanujan prove genes are everything?
He also had the Cambridge correspondence and a tradition of temple-school calculation. A jagged profile, not a racial parable.
Is fast arithmetic the talent?
It is one visible skill. Proof, modelling and spatial insight can be quiet in timed tests.
Do girls “lack” maths talent?
This page will not run that folk story. Participation, stereotype and coaching explain much of historic gaps; we do not rank sexes as essences.
Research on mathematical talent runs from Julian Stanley / SMPY (1971–) through later critiques. Mechanisms are interacting systems.
Evidence percentages below are relative judgements for this atlas, not fabricated precise statistics. Named studies keep their published bands.
Findings
- 1971– · Julian Stanley / SMPY — The maths tail has a tail Above-level SAT-M still spreads at 12–13.
- 1990s– · Benbow & Lubinski — High SAT-M predicts some STEM outcomes Longitudinal, still a selected US sample.
- 2000s · Stanislas Dehaene — Approximate number sense An early starting point that training and language also shape.
- 1913 · Hardy on Ramanujan — Jagged, enormous production A case, not a national genetics lesson.
- 1985 · Françoys Gagné — Gift versus talent Aptitude still needs catalysts and practice to become olympiad or research skill.
- 2014 · Macnamara et al. — Education practice ~4% Do not treat maths homework like Berlin violin diaries.
Mechanisms
- Structure detection — Seeing the same form under new numbers.
- Working-memory for relations — Holding a transformation while another runs — a residual Hambrick-type variable.
- Proof stamina — Tolerance for being stuck, closer to Dweck’s difficulty story than to speed.
- Spatial–mathematical overlap — Some geometries lean on spatial talent; not all maths does.
Evidence
Best domain-specific search file we have.
Hours move medals; residuals remain.
Replicable starting-point research.
Macnamara education band is tiny.
Not a valid use of IMO tables.
Debates
- Acceleration versus enrichment — Stanley favoured subject skip for some. Others fear social cost.
- Contest maths versus research maths — Olympiad craft is not Noether’s job. Identification often conflates them.
- Who gets the above-level test — CTY fees and who hears the invitation still shape the “gifted” file.
Mathematical talent: size the claim to the study. Interaction, not a 50/50 slogan, is the default model.
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