There are two main approaches to problem-solving: vertical thinking and horizontal thinking. Let's look at case studies to understand the benefits of these approaches.

Google DeepMind, Alphabet Inc.’s artificial intelligence research arm, today announced the rollout of Gemini 2.5 Deep Think, ...

Ning Fang, Students' Perceptions of Dynamics Concept Pairs and Correlation with Their Problem-Solving Performance, Journal of Science Education and Technology, Vol. 21, No. 5 (OCTOBER 2012), pp.

3. Failing to break the problem into component parts. Only by first finding all the cleaving points that allow you to dissect the problem will you likely find the most serious crux of the issue.

Mathematics is solving problems,” said Bethany Rittle-Johnson, a professor of psychology and human development at Peabody College in Vanderbilt University, who studies math instruction.

Google DeepMind has created an AI system that can solve complex geometry problems. It’s a significant step toward machines with more human-like reasoning skills, experts say. Geometry, and ...