{ "version": "v0.1.0", "updatedAt": "2026-08-02", "moduleType": "metathinking", "id": "comparison", "canonicalUrl": "/metadata/metathinking/comparison.json", "title": { "zh": "比较", "en": "Comparison" }, "description": { "zh": "比较是一种基于共同维度，对两个或多个对象进行关系判断、差异识别、顺序定位或等同性确认的元思维操作。", "en": "Comparison is a meta-thinking operation that uses shared dimensions to judge relations, identify differences, locate order, or confirm equivalence among two or more objects." }, "ageRange": { "min": 4, "max": 12, "noteZh": "覆盖 4-5 岁到小学毕业阶段。", "noteEn": "Covers ages 4-5 through primary school graduation." }, "educationReference": { "scope": "global-k12-foundation", "policyZh": "以全球基础教育大纲和教材为知识背景，不增加额外知识负担，以知识内容承载思维训练。", "policyEn": "Uses global K-12 foundational curricula as background knowledge without adding extra knowledge burden; domain content is used as a carrier for thinking training." }, "rootGeneIds": [ "RG.LOGIC.COMPARISON.BASIC", "RG.MATH.NUMBER_SENSE.BASIC", "RG.LEARNING.MATH.COMPARISON" ], "difficultyAxes": [ { "id": "object_complexity", "zh": "对象复杂度", "en": "Object Complexity", "progression": ["concrete", "symbolic", "abstract"] }, { "id": "dimension_complexity", "zh": "维度复杂度", "en": "Dimension Complexity", "progression": ["single", "dual", "multi"] }, { "id": "relation_complexity", "zh": "关系复杂度", "en": "Relation Complexity", "progression": ["direct", "indirect", "chain", "constrained"] }, { "id": "language_complexity", "zh": "语言复杂度", "en": "Language Complexity", "progression": ["action", "question", "compound", "explain"] }, { "id": "transfer_complexity", "zh": "迁移复杂度", "en": "Transfer Complexity", "progression": ["within-domain", "cross-domain", "strategy", "evidence"] } ], "typeTree": [ { "id": "quantity", "nameZh": "数量比较", "nameEn": "Quantity Comparison", "status": "implemented", "examples": [ "learning-math-comparison", "learning-math-number-sense" ], "implementedBy": { "gameIds": [ "learning-math-comparison", "learning-math-number-sense" ], "lessonIds": [ "learning-math-comparison-l1", "learning-math-number-sense-l1" ], "videoIds": [ "learning-math-comparison-intro-001" ] } }, { "id": "spatial_visual", "nameZh": "空间与感知比较", "nameEn": "Spatial and Perceptual Comparison", "status": "implemented", "examples": [ "length comparison bars" ], "implementedBy": { "gameIds": [ "learning-math-comparison" ], "lessonIds": [ "learning-math-comparison-l1" ], "videoIds": [ "learning-math-comparison-intro-001" ] } }, { "id": "temporal", "nameZh": "时间比较", "nameEn": "Temporal Comparison", "status": "planned", "examples": [ "before/after/duration/rhythm tasks" ] }, { "id": "logic_strategy", "nameZh": "逻辑与策略比较", "nameEn": "Logic and Strategy Comparison", "status": "planned", "examples": [ "condition-strength/solution-efficiency tasks" ] }, { "id": "information", "nameZh": "信息与证据比较", "nameEn": "Information and Evidence Comparison", "status": "planned", "examples": [ "source reliability/evidence sufficiency tasks" ] } ], "levelMap": [ { "levelId": "L1", "ageHint": "4-5", "objectiveZh": "在单一感知维度上做直接比较（大/小、多/少、长/短）。", "objectiveEn": "Perform direct comparison on a single perceptual dimension.", "primaryTypes": ["quantity", "spatial_visual"], "status": "implemented", "implementedBy": ["learning-math-comparison"], "sourceLevels": ["L1"] }, { "levelId": "L2", "ageHint": "5-6", "objectiveZh": "在 10 以内进行数量与图示对应比较。", "objectiveEn": "Compare quantities within 10 using symbol-visual correspondence.", "primaryTypes": ["quantity", "spatial_visual"], "status": "implemented", "implementedBy": ["learning-math-comparison", "learning-math-number-sense"], "sourceLevels": ["L2"] }, { "levelId": "L3", "ageHint": "6-7", "objectiveZh": "在 20 以内进行直接比较与接近判断。", "objectiveEn": "Perform direct and proximity comparison within 20.", "primaryTypes": ["quantity", "temporal"], "status": "implemented", "implementedBy": ["learning-math-comparison", "learning-math-number-sense"], "sourceLevels": ["L3"] }, { "levelId": "L4", "ageHint": "7-8", "objectiveZh": "引入双维比较（如数量+长度），进行基础排序。", "objectiveEn": "Introduce dual-dimension comparison and basic ranking.", "primaryTypes": ["quantity", "spatial_visual"], "status": "planned" }, { "levelId": "L5", "ageHint": "8-9", "objectiveZh": "进行间接与链式比较（A>B, B>C 推导 A>C）。", "objectiveEn": "Perform indirect and chain comparison.", "primaryTypes": ["logic_strategy"], "status": "planned" }, { "levelId": "L6", "ageHint": "9-10", "objectiveZh": "在多维标准下比较并说明取舍理由。", "objectiveEn": "Compare under multi-criteria and explain trade-offs.", "primaryTypes": ["logic_strategy", "information"], "status": "planned" }, { "levelId": "L7", "ageHint": "10-11", "objectiveZh": "比较策略效率与条件充分性，形成可解释判断。", "objectiveEn": "Compare strategy efficiency and condition sufficiency with explanations.", "primaryTypes": ["logic_strategy", "information"], "status": "planned" }, { "levelId": "L8", "ageHint": "11-12", "objectiveZh": "比较证据强弱与信息可信度，完成综合判断。", "objectiveEn": "Compare evidence strength and information reliability for integrated judgment.", "primaryTypes": ["information"], "status": "planned" } ], "prerequisites": [ { "id": "attention-and-classification", "titleZh": "基础观察与分类", "titleEn": "Basic Observation and Classification" } ], "videos": [ { "id": "learning-math-comparison-intro-001", "titleZh": "数学比较与数感训练介绍", "titleEn": "Math Comparison and Number Sense Intro", "status": "implemented", "linkedGameIds": ["learning-math-comparison", "learning-math-number-sense"], "linkedLessonIds": ["learning-math-comparison-l1", "learning-math-number-sense-l1"] } ], "exercises": [ { "id": "cmp-quantity-direct", "type": "quantity", "levelRange": ["L2", "L4"], "descriptionZh": "数值直接比较与接近判断。", "descriptionEn": "Direct number comparison and proximity judgment.", "status": "implemented", "sourceGameIds": ["learning-math-comparison", "learning-math-number-sense"], "sourceLessonIds": ["learning-math-comparison-l1", "learning-math-number-sense-l1"], "sourceLevelIds": ["L1", "L2", "L3"] }, { "id": "cmp-chain-relation", "type": "logic_strategy", "levelRange": ["L5", "L7"], "descriptionZh": "链式关系推导比较。", "descriptionEn": "Chain relation inference comparison.", "status": "planned" }, { "id": "cmp-length-direct", "type": "spatial_visual", "levelRange": ["L1", "L2"], "descriptionZh": "通过直观线段长短进行直接比较。", "descriptionEn": "Perform direct comparison by visual bar length.", "status": "implemented", "sourceGameIds": ["learning-math-comparison"], "sourceLessonIds": ["learning-math-comparison-l1"], "sourceLevelIds": ["L1", "L2"] }, { "id": "cmp-evidence-quality", "type": "information", "levelRange": ["L7", "L8"], "descriptionZh": "证据充分性与可信度比较。", "descriptionEn": "Evidence sufficiency and credibility comparison.", "status": "planned" } ], "statistics": { "eventKeys": [ "session_start", "answer_submit", "hint_open", "session_finish" ], "dimensions": [ "levelId", "comparisonType", "difficultyAxis", "errorType", "ageBucket" ], "kpis": [ "completionRate", "accuracy", "avgTimeMs", "hintRate", "retryRate" ] }, "aiQueryHints": { "supportedFilters": [ "age", "levelId", "comparisonType", "difficultyAxis", "tag", "status" ], "exampleQueries": [ "6岁适合哪些 Comparison 训练？", "L5 的比较训练重点是什么？", "哪些 comparison 练习已经实现并可上线？" ] }, "tags": [ "comparison", "metathinking", "ai-readable", "global-k12-reference" ] }