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, ...
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 ...
For a while now, companies like OpenAI and Google have been touting advanced "reasoning" capabilities as the next big step in their latest artificial intelligence models. Now, though, a new study from ...
Math is a notorious stumbling block that trips up students seeking college degrees. Every year, tens of thousands of young people fail to graduate because they can’t earn enough math credits. To help ...
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 ...
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, ...
This article offers an overview of the nature and role of relational thinking and relational reasoning in human learning and performance, both of which pertain to the discernment of meaningful ...