Over 8,000 years ago, early farming communities in northern Mesopotamia were already thinking mathematically—long before numbers were written down. By closely studying Halafian pottery, researchers ...

Halafian pottery shows that early agricultural societies practiced advanced mathematical thinking through plant-based art long before writing.

If you buy something using links in our stories, we may earn a commission. Learn more. A few minutes into a 2018 talk at the University of Michigan, Ian Tobasco picked up a large piece of paper and ...

Ancient pottery reveals early farmers were using math thousands of years before numbers, embedding geometry and patterns into ...

RLVR amplifies reasoning patterns that already exist. Qwen2.5-Math can uniquely do “code reasoning”-solving math by writing Python💻 (without execution). Code reasoning correlates with correctness (64 ...

Mathematicians excel at handling complexity and uncertainty. Mathematical reasoning strategies aren't just useful for dilemmas involving numbers. We can apply math mindsets to improve our approach to ...

When it comes to teaching math, a debate has persisted for decades: How, and to what degree, should algorithms be a focus of learning math? The step-by-step procedures are among the most debated ...

Building upon the foundational insights from Unlocking Complexity: From Math Constants to Modern Games, this article delves into how intricate mathematical patterns manifest within the realm of modern ...