Educational Science

Where's the Proof in Science? There Is None

This article was originally published on The Conversation. The publication contributed this article to Live Science's Expert Voices: Op-Ed & Insights. UNDERSTANDING RESEARCH: What do we actually mean by research and how does it help inform our understanding of things? Those people looking for proof to come from any research...

What Are Logarithms?

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. Because logarithms relate geometric progressions to arithmetic progressions, examples are found throughout nature and art, such as the spacing of guitar frets, mineral hardness, and...

For the first time in history, the Fields Medal — the equivalent of the Nobel Prize for mathematics — will be awarded to a woman. The award will go to Maryam Mirzakhani, an Iranian mathematician and professor of mathematics at Stanford University. Mirzakhani and three other mathematicians will be honored...

What Is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles. Trigonometry is found all throughout geometry, as every straight-sided shape may be broken into as a collection of triangles. Further still, trigonometry has astoundingly intricate relationships to other branches of mathematics, in particular complex...

What Is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. Just as sentences describe relationships between specific words, in algebra, equations describe relationships between...

What Is Symmetry?

In geometry, an object exhibits symmetry if it looks the same after a transformation, such as reflection or rotation. Symmetry is the underlying mathematical principle behind all patterns and is important in art (used in architecture, pottery, quilting and rug making), mathematics (relating to geometry, group theory and linear algebra),...

What Is Topology?

Topology is a branch of mathematics that describes mathematical spaces, in particular the properties that stem from a space’s shape. Many of the shapes topologists deal with are incredibly strange, so much so that practically all everyday objects such as bowls and pets and trees make up a small minority....

Photos: Pi Day Celebrations at 2015 SXSW Festival

Math enthusiasts celebrate Pi Day every year on March 14, to honor the mathematical constant that represents the ratio of a circle's circumference to its diameter. This year's event, however, happens just once in a century. Today, March 14, 2015, at 9:26 a.m. and 53 seconds, the date and time...

What Are Quadratic Equations?

In mathematics, a quadratic is a type of problem that deals with a variable multiplied by itself — an operation known as squaring. This language derives from the area of a square being its side length multiplied by itself. The word quadratic comes from quadratum, the Latin word for square....