This is a preview. Log in through your library . Abstract This paper presents a networking of two theories, the APOS Theory and the ontosemiotic approach (OSA), to compare and contrast how they ...

The University of Manchester has been gifted a unique mathematical object known as a Gömböc – the first known physical example of a new class of shapes called mono-monostatics. The Gömböc is tangible ...

In 1915, the Mathematical Association of America formed to encourage advanced mathematics teaching in the United States. Members received a journal called The American Mathematical Monthly and ...

Just as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space.

Mathematics is an important aspect of learning. While most despise studying numbers and theorems, mathematics is—as some have poetically put it—the language of the universe. An understanding of ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

Platonic solids. Galois groups. The Monster. Just as with children, the naming of a mathematical object is part of giving birth to your creation. It is what gives it its own identity, distinguishing ...

Many people think that mathematics is a human invention. To this way of thinking, mathematics is like a language: it may describe real things in the world, but it doesn’t “exist” outside the minds of ...

Sam Baron receives funding from the Australian Research Council. Many people think that mathematics is a human invention. To this way of thinking, mathematics is like a language: it may describe real ...