Half of students fail college algebra. Reformers say outdated college math requirements are gatekeeping graduation.

By now, ChatGPT, Claude, and other large language models have accumulated so much human knowledge that they're far from simple answer-generators; they can also express abstract concepts, such as ...

Why do some melodies feel instantly right, balanced, memorable and satisfying, even if you have never heard them before? New research from the University of Waterloo suggests that more than creativity ...

Abstract: Problem solving, worked examples, and erroneous examples have proven to be effective learning activities in Intelligent Tutoring Systems (ITSs). However, it is generally unknown how to ...

ABSTRACT: This extensive research paper provides a thorough investigation of the algebraic structure of complex products in groups, with comprehensive analysis of both commutative and non-commutative ...

MR. SMITH's small “Algebra” has deservedly obtained high favour in our schools for its lucidity. The work before us aims at presenting the solutions, not always necessarily in the shortest way, but ...

This is a solution manual for Paolo Aluffi's ALGEBRA, Chapter 0, a textbook that introduces abstract algebra using the language of categories. I find this approach to be particularly appealing. So I'm ...

#OctopusEffects, #Blender This is a basic tutorial on Geometry Nodes in Blender 3.1. Learning Geometry Nodes through doing a specific product will make it easier for you to absorb. In this video we ...

An abstract sentence is a sentence that expresses an idea, concept, or quality rather than something you can see, touch, or measure directly. It deals with things like emotions, values, theories, or ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

THE value of such a book is great both to teachers and students. The former, as we have often pointed out, have scant leisure for working out the more elaborate questions which nowadays have place ...

Image credits: Peter Badge / Typos1 / The Abel Prize. This year, the Abel Prize — the field’s highest honor — has been awarded to Masaki Kashiwara, prolific Japanese mathematician whose work has ...