Abstract: Systems are the most complicated entities and phenomena in the physical, information, and social worlds across all science and engineering disciplines. This paper presents a mathematical ...

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 Reformers say outdated college math requirements are gatekeeping graduation.

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 ...

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 ...

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 ...

A modern Red Riding Hood on her way to Grandma’s house can meander through the woods, or drive down the interstate, or even climb a mountain to come around the back way. All those routes will get her ...

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 ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? Representation theory transforms abstract algebra groups into things like simpler ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

A 3D-printed decuplet crystal, skeleton, and nerves of a big algebra designed by Daniel Bedats. Printed with the Stratasys J750 3D printer at ISTA’s Miba Machine Shop. Symmetry is not just a question ...