The author tries to show some causes of failures in the creation of mathematical concepts. One of them is stiffening of concept cores. It makes impossible identification of untypical exemplars of a ...

We’ve been taught that living systems are incredibly complex and diverse. However, there are clues that processes exist to tame these systems’ and sustain the robustness of life. Using novel ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

These student-constructed problems foster collaboration, communication, and a sense of ownership over learning.

But, both of these would require large structural changes for a course that teaches hundreds of students a year — something that can’t really happen in the near term. What could happen now, though, is ...

Scientists explore the physics of how polarization-filtered colors emerge, how they can be controlled, and why subtle changes in viewing angle, sample orientation, and the order of layers of films ...

Albert Einstein once said that his mathematical genius had nothing to do with language: "Words and language, whether written or spoken, do not seem to play any part in my thought processes." And now ...