A few minutes into a 2018 talk at the University of Michigan, Ian Tobasco picked up a large piece of paper and crumpled it into a seemingly disordered ball of chaos. He held it up for the audience to ...

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 ...

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