sklmindforge/llm_multiplication_training
收藏Hugging Face2026-03-20 更新2026-03-29 收录
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https://hf-mirror.com/datasets/sklmindforge/llm_multiplication_training
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---
license: mit
language:
- en
---
# Triple-Tier Multiplication Curriculum (Area Model)
A structured curriculum for teaching multiplication to small language models. This dataset moves from rote memorization to logical decomposition.
## Curriculum Structure
1. **Tier 1: Basic Tables (1-100)** - Sequential and shuffled pairs for results up to 1000 to establish "Instant Recall" weights.
2. **Tier 2: Sign Logic** - Explicitly teaches the rules of arithmetic signs: $(+) \times (+)$, $(-) \times (+)$, and $(-) \times (-)$.
3. **Tier 3: Distributive Property (Large)** - Uses the "Area Model" to split 4-digit by 2-digit problems into manageable partial products.
## Why this works
By splitting a problem like $450 \times 12$ into $(450 \times 10) + (450 \times 2)$, the model avoids "Dimensionality Collapse" and learns a scalable algorithm for any number size.
提供机构：
sklmindforge
