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Parity Even Odd Reasoning

Problem pool

Core · Canonical TaskForm · Parity pairing proof choice · Choose One

Watch: Pair objects or choose a proof card to justify even, odd, or impossible. The shell keeps the complete question visible, reserves the canonical reply band, and reveals proof on the same task objects.

Misread: Child action: Pair objects or choose a proof card to justify even, odd, or impossible.

Curriculum: Mapped to Parity Even Odd Reasoning.

Parity Even Odd Reasoning practice with visual examples, common slips, and next-step routes.

Surface

This skill appears in Parity pairing proof choice, Parity toggle path predict, Invariant move legal-illegal mark, Invariant game challenge choice, Fixed-decrement invariant event-count entry.

Task formats

Fixed-decrement invariant event-count entry

Fixed-decrement invariant event-count entry asks the player to use a fixed per-event count change to enter the exact number of events needed to reach the terminal count.

ActionUse a fixed per-event count change to enter the exact number of events needed to reach the terminal count.
CheckComplete the fixed-decrement invariant event-count entry action.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Word problems are confusing

Invariant game challenge choice

Invariant game challenge choice asks the player to predict possible or impossible final state in a constrained move game using an invariant proof card.

ActionPredict possible or impossible final state in a constrained move game using an invariant proof card.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Word problems are confusing

Parity pairing proof choice

Parity pairing proof choice asks the player to pair objects or choose a proof card to justify even, odd, or impossible.

ActionPair objects or choose a proof card to justify even, odd, or impossible.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Word problems are confusing

Parity toggle path predict

Parity toggle path predict asks the player to predict final parity after visible add, remove, or toggle moves.

ActionPredict final parity after visible add, remove, or toggle moves.
CheckChoose the answer that matches the visible prompt.
UseSupport / Core / Transfer
ShowsCheck only
PresentationCompact / Standard / Extended

Practice focus

Word problems are confusing

Selection

Fresh independent work can move toward Core, Transfer, or Challenge routes; help use or confusion keeps support visible.

Help

Hints keep attention on the visible structure; reveals show the path without counting as independent evidence.

Presentation

Presentation can reduce reading and interaction load without changing the selected skill. Practice focus can bias compatible work without breaking prerequisites or story fit.

Story fit

  • story beats with visible logic state, manipulable evidence, and a bounded player action
  • Episodes whose mathematical action is prove a fixed-change invariant or disprove a universal claim with a complete legal counterexample strategy.