OpenAI o1 is a new large language model trained with reinforcement learning to perform complex reasoning. o1 thinks before it answers—it can produce a long internal chain of thought before responding ...

Math offers us lots of problem-solving techniques that help us distill the essence of questions. Many of us will be familiar with reading a math problem, and needing to figure out what's being asked, ...

This course is intended for students who are not ready for or interested in the Pre-calculus/Calculus pathway their senior year but still want to continue developing their mathematical knowledge and ...

At the heart of this breakthrough lies AlphaProof, a sophisticated formal reasoning AI model developed by the brilliant minds at Google DeepMind. This innovative system has demonstrated an ...

Math riddles are not to everyone's taste. They need a great deal of critical and analytical thinking and are difficult, intriguing, and thought-provoking. They might first seem difficult, but once you ...

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 ...

There’s a curious contradiction at the heart of today’s most capable AI models that purport to “reason”: They can solve routine math problems with accuracy, yet when faced with formulating deeper ...

Microsoft has introduced a new set of small language models called Phi-4-reasoning, Phi-4-reasoning-plus, and Phi-4-mini-reasoning, which are described as "marking a new era for efficient AI." These ...

Logical reasoning is a crucial skill for math success. It helps understand concepts and solve problems. This skill builds strong arguments and reduces errors. It improves problem-solving across ...