Learning Foundation · Math Thinking

数学启智 Math Thinking

我们不覆盖数学教材,我们从数学情境中抽取元思维操作。无论什么知识点,只要孩子在真正执行「比较、建模、推断、发现规律」,训练就在发生。 We don't cover the math curriculum — we extract meta-thinking operations from math contexts. As long as children are genuinely executing comparison, modeling, inference, or pattern recognition, the training is happening.

难度分级参考年级知识背景,仅供设计定位,不是孩子的课程表。 Difficulty levels reference grade knowledge backgrounds for design purposes only — not a curriculum sequence for children.
6 个能力模块Modules 首批开放「比较」,其余持续推进。Comparison is live now. Others are in progress.
RootGene: Comparison

比较Comparison

判断大小、多少、长短。每次操作都是一次明确的比较元思维练习,从 10 以内到 100 以内递进。Judge bigger, smaller, more, fewer. Each round is an explicit comparison meta-thinking exercise, progressing from within-10 to within-100.

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RootGene: Comparison, Multi-dim

数感Number Sense

拆分、接近、凑数——三种题型交替出现,训练从多个角度看待同一个数的能力。Split, proximity, complete — three alternating question types that train seeing one number from multiple angles.

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RootGene: Prediction, Generalization

规律Pattern

数数→跳数→五十→递减→倍增→情境应用,六关难度递进,训练预测与归纳迁移。共用 Mind Seeds 引擎,统计独立。Count-up → Skip → Fives/Tens → Descending → Doubling → Real-world: 6 units by math concept. Shared engine with Mind Seeds; independent stats.

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RootGene: Multi-dim, Hypothesis

建模Modeling

加减填空→未知加数→天平平衡→乘法缺数→情境建模,6关递进,训练等量关系与代数萌芽。Fill-in → unknown addend → balance scale → multiplication → real-world: 6 units training equal relationships and early algebra.

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RootGene: Hypothesis, Elimination

逻辑Logic

顺序推断→分类推断→排除法→条件推理→谁说对了→综合推理,6关循序渐进,训练假设与消除元思维。Ordering → Category → Elimination → Conditional → Verification → Multi-step: 6 units training hypothesis and elimination thinking.

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RootGene: Prediction, Multi-dim

策略Strategy

步骤规划→最优选择→合理分配→多步预测→简单博弈→综合策略,6关训练预测与多维权衡能力。Step planning → Best choice → Allocation → Prediction → Game strategy → Mixed: 6 units training prediction and multi-factor weighing.

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每个模块对应现有 RootGene 八大能力标签,不新增标签体系。训练统计与 Mind Seeds 系列数据独立记录,诊断目的不同,不合并计算。 Each module maps to the existing 8 RootGene ability tags — no new tag system. Training stats are recorded independently from Mind Seeds; different diagnostic purposes, not merged.