Sherlock Holmes, the fictional sleuth who famously resides on Baker Street, is known for his impressive powers of logical reasoning. With a quick visual sweep of a crime scene, he generates hypotheses ...

Choose appropriate methods or models for a given problem, using information from observation or knowledge of the system being studied. Employ quantitative methods, mathematical models, statistics, and ...

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 Nicole Thomson first heard about the importance of teaching spatial reasoning and geometry in her kindergarten math curriculum she had already been teaching for several years. Her teacher ...

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 ...

On Tuesday, OpenAI announced that o3-pro, a new version of its most capable simulated reasoning model, is now available to ChatGPT Pro and Team users, replacing o1-pro in the model picker. The company ...

The Mathematics Teacher (MT), an official journal of the National Council of Teachers of Mathematics, is devoted to improving mathematics instruction from grade 8-14 and supporting teacher education ...

My 5-year-old nephew once confidently told me that all dinosaurs were green because his three dinosaur toys were green. So I showed him a nature documentary, Walking with Dinosaurs, and suddenly, ...