A World
How much, how many, how certain — and does the reasoning hold?
What this World is
Mathematics is the language every quantitative discipline eventually speaks. Met through real questions, it stops being a subject to survive and becomes an instrument.
The Logic World is one of ten permanent Worlds in the WSA knowledge architecture. It is not a theme and it does not rotate. Any interest that genuinely opens onto the questions below enters here, and keeps entering here, at increasing difficulty, for as long as the child stays interested.
Knowledge
Traditional school subjects this World covers
Capabilities
The questions
Progression
Age is a signal, never the determinant. Each band describes an intellectual character, and what would genuinely demonstrate it.
Knowledge
Skills
What demonstrates it
Distributes one item per person without counting.
Knowledge
Skills
What demonstrates it
Continues a pattern they were not shown.
Knowledge
Skills
What demonstrates it
Chooses a sensible unit unprompted.
Knowledge
Skills
What demonstrates it
Explains why one chart type was wrong for the data.
Knowledge
Skills
What demonstrates it
Settles a real decision with a calculation.
Knowledge
Skills
What demonstrates it
Turns a repeated calculation into a general rule.
Knowledge
Skills
What demonstrates it
A model with parameters the child can interpret in context.
Knowledge
Skills
What demonstrates it
A proof or a justified model selection.
Knowledge
Skills
What demonstrates it
An investigation whose method choice is itself defended.
Ways in
An ordinary childhood fascination is the doorway. These are worked examples, not the full set.
Ratio through gear teeth, rate through timed runs, variance through repeated trials, and the discovery that one measurement is not evidence.
Inference from incomplete evidence, orders of magnitude in time, and probability in the fossil record.
Measurement, density as a ratio, sampling, and reading a graph of something you cannot see.
Orders of magnitude, scientific notation, error, and the reason precision is not pedantry.
Scale, ratio, geometry and load calculation.
Ratio, proportion, scaling, timing and measurement that actually matters.
Connections
Genuine intellectual relationships only. Real questions do not respect disciplinary borders.
Afterwards
Qualification crosswalk
A mapping, never a claim. WSA does not award, accredit or guarantee admission to anything.
Ratio, algebra, statistics and modelling recur throughout the syllabuses.
Applications and Interpretation in particular rewards real modelling of the WSA kind.
Inference and rate of change are the two hinges; WSA prepares, it does not certify.
Topic overlap is substantial; NSC assessment requires an approved route.
The other Worlds