Learn how chain-of-thought and a guided meta-system boosted ChatGPT 5’s abstract thinking, so you can pick better tools for complex tasks.

OpenAI has introduced the o1 series, its most sophisticated AI models to date, which are designed to excel at complex reasoning and problem-solving tasks. The o1 models, which use reinforcement ...

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 ...

Critical thinking is a fundamental cognitive process that enables individuals to objectively analyze, evaluate and interpret information to make informed decisions and solve complex problems. It ...

Mathematics education must move beyond marks and memorisation, focusing instead on reasoning, problem-solving, and creative ...

Artificial intelligence has moved from checking homework to attacking problems that professional mathematicians once treated as out of reach. Systems tuned for symbolic reasoning are now cracking long ...

As a mathematics education researcher, I study how math instruction impacts students' learning, from following standard math procedures to understanding mathematical concepts. Focusing on the latter, ...