{"schema_version":"teacher-skill-representation.payload.v1","representation":{"schema_version":"teacher-skill-representation.v1","skill_ref":"logic.parity.even-odd-reasoning","domain_slug":"logic","skill_slug":"parity-even-odd-reasoning","canonical_url":"/math/skills/logic/parity-even-odd-reasoning","public_title":"Parity Even Odd Reasoning","family_ref":"module-family.logic.constraint-deduction-combinatorics.v1","family_name":"Logic, Constraint, Deduction, and 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impossible.","canonical_links":[{"label":"Parity pairing proof choice","url":"#taskform-parity-pairing-proof-choice"}],"safe_to_quote_snippets":["Parity pairing proof choice asks children to pair objects or choose a proof card to justify even, odd, or impossible."],"example_refs":[]}},{"schema_version":"task-form-representation.v1","task_form_ref":"task-form.logic.parity-toggle-path-predict.v1","public_slug":"parity-toggle-path-predict","owning_skill_refs":["logic.parity.even-odd-reasoning"],"primary_family_ref":"module-family.logic.constraint-deduction-combinatorics.v1","pattern_cluster_ref":"pattern-cluster.logic.parity-invariants-move-reasoning.v1","task_pattern_ref":"task-pattern.logic.parity-change-toggle.v1","public_title":"Parity toggle path predict","teacher_summary":"Parity toggle path predict asks children to predict final parity after visible add, remove, or toggle moves.","teacher_purpose_md":"Predict parity after visible add, remove, or toggle moves without full arithmetic.","child_action_public":"Predict final parity after visible add, remove, or toggle moves.","answer_affordance_public":"Choose the answer that matches the visible prompt.","visual_primitive_public_refs":["move_path","parity_state_token","prediction_chips"],"child_surface_preview":{"availability":"not_available","preview_asset_refs":[],"absence_md":""},"public_example_refs":[],"non_example_refs":[],"common_mistake_tags":[],"hint_reveal_public":["Hints should point attention to the visible structure before giving away the solution.","Reveals should show the answer path separately from independent evidence."],"public_evidence_signals":[{"id":"check_only","public_label":"Check only","teacher_note_md":"This observation can check the session without moving the child forward by itself."}],"route_variants":[{"id":"support_repair","public_label":"Support","teacher_note_md":"Use a more guided version when recent work shows confusion or heavy help 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